diff --git "a/data/dm_maths/full_data_2/10434_11255.jsonl" "b/data/dm_maths/full_data_2/10434_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10434_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the second derivative of -1995566*p**2 + 2*p + 312988.\nAnswer: -3991132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90665 is divided by 44543.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.1 + 2.53. Let a = f - 1.11. Let w = -0.18 - a. What is w rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 204 = 36*b, -19*t = 2*b - 11*t - 5*t - 52 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3766836*i*z**2 + i + z**2 + 28093948 wrt z.\nAnswer: -7533672*i*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 147323508.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 4*q - 17 = 8*c, -37 = 5*c + 4*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 541037770?\nAnswer: 541037770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 14 - 14*x**2 + 34*x**2 - 2*x**2 to d*x**2 + b + j*x and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4581184211 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 83*b + 124. Determine t(-82).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12045*b + 1058*b + 10989*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/122 and -133\/34050078.\nAnswer: 34050078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 674 and 4732828.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 107. Let f = 155 - c. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, 102, 133, 144, 129, 82, -3, -132?\n\"Answer: -i**3 - i**2 + 55*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 183074148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*d**3*j**3 - d**3*j - 2*d**2 + 821*d*j**3 - 17*d*j - 455 wrt j.\nAnswer: -90*d**3*j + 4926*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c + -e0f?\nAnswer: -de3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*5*(10 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z + 1765. Let j(r) = -169*r. Calculate u(j(s)).\nAnswer: -2028*s + 1765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 11*r + 37)*(2*r + 3 - 3) + (-r**2 - 1 + 2 + 3*r**2)*(7 - 82 + 33) in the form q*r + s + m*r**2 and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23464*y**3*z + 3*y**2*z + 57*y**2 - 3*y*z - 4*y wrt y.\nAnswer: -140784*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1437685*f*s**3 + 42*f - 6667*s**3 - s**2 + s + 1274 wrt f.\nAnswer: -1437685*s**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(13)*2 + 2)**2*-4.\nAnswer: -352 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*b + 7*i - 3*i, 5*b + 5*i + 15 = 0. Let r be (7 - -3 - 2) + b. Let l(g) = g + 62*g**2 - g**3 - 62*g**2 - r. Give l(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q - 3*q + 14*q + (-1 - 1 + 0)*(-2*q + 3*q + 0*q) to the form v*q + a and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1748*q - 8512 - 43878 = 1735*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42578 is divided by 5973.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (1 + -3 + -63). Suppose -5*r + 7 = 4*o - 148, 2*o = -5*r + v. What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1342231 - -41?\nAnswer: -1342150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*s + s - 11, -4*g - 3*s - 15 = 0. Let h be (-7)\/((-14)\/(-6))*5\/g. Solve -6 = -2*c - 3*f + f, 5*c = h*f + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5800.2 and -110.78.\nAnswer: 642546.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -224*z**4 - 400*z**3 - 222*z**2 - 50*z - 4 = 0.\nAnswer: -1, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -103. Suppose g = 6*w - 8*w - 76. Let r = w - -140. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 20*g - 28. Let z(a) = 9*a - 14. Let d(q) = 4*f(q) - 7*z(q). Let c be d(8). Let m = c - 121. Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -194 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1275300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 200, 3, -2 in ascending order.\nAnswer: -2, -1, 3, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1606847, 3213694, 4820541, 6427388?\n\"Answer: 1606847*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*u + b, 2*u - 8*b = -11*b - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41612, 83209, 124806, 166403, 208000?\n\"Answer: 41597*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 140 + 68 + 69 + 6*w = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 339*r - 337*r + 149 - 66 for r.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*z + 55 + 420 = -14*z - 965 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -2\/67 (c) 3 (d) 1\/11 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/120 + 29*o**3\/6 + 2*o**2. List the prime factors of l(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, n: 1, v: 2}. What is prob of sequence vnv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13813 (base 12) in base 13?\nAnswer: -c438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 572\/3*k**2 + 64\/3*k**3 + 2\/3*k**4 + 150 + 320*k = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96741948599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 12:10 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-0.16369145209\nAnswer: 0.33630854791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.054, -1\/3, -2, 0.02?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 8*w**2 + 10*w + 13. Let i be n(-9). Suppose i*p - 145 = -3*c, 2*c - 3*p = 7*c - 249. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -1\/12*s**4 + 12*s**2 + 0 + 0*s**3 - 2*s. Let j(c) be the first derivative of g(c). Let u(y) = 6*y**2 + 1. What is u(j(h))?\nAnswer: 24*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112411813 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 377*q**2 - q + 205.\nAnswer: 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose -j - 4 = -2*o, -6 = -5*o + 3*j + b. Suppose 0 = 3*p + 2*p + o*d - 40, 4*p + d = 32. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261)\/(-1740)*15\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.9882 + -3.9882. Sort 5, -2, 4, 8, i.\nAnswer: -2, 4, 5, 8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2074*y. Let r(b) = 2*b**2 + 26*b. Determine p(r(g)).\nAnswer: -4148*g**2 - 53924*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1.9 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/6*1\/(-2) - 1. Let c be 1\/6*u + (-1)\/(-4). Which is smaller: c or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 12*v**5 + 3*v**4 + 14*v**3 + v**2 + 11*v + 11. Let z(p) = p**5 + p**3 + p + 1. Let d(a) = 4*c(a) - 44*z(a). Let d(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z**2 - 1. Let t be m(-1). Let k = t - 37. Let g = -15 - k. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192dc9 (base 16) to base 5.\nAnswer: -410300441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*z + 2, 0 = f - 19 + 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45444910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100613719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 + 1\/(-2). Let j = -0.16 + 0.36. Which is the third biggest value? (a) f (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 15) to base 6\nAnswer: -2053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1785 by 15.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -1750 + 1854. Which is bigger: s or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101, 350, 711, 1184, 1769, 2466, 3275?\n\"Answer: 56*v**2 + 81*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 370.032mm?\nAnswer: 370032000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + 6\/(-10). Let i(x) = 3*x - 16. Let a be i(7). Put w, 1, a in ascending order.\nAnswer: w, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 - 11272*w**3 + 7918548*w**2 + 31809584*w + 31854736 = 0. What is w?\nAnswer: -2, 1411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*j = 3*o - 18, -3*o = 2*j + 2. Let d = 7 + -3. Suppose -2*r - 4 = -d*r. Solve 0 = -z - r*z + 2*g - 14, 0 = -3*z - o*g + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**8\/112 - 43*v**5\/60 + 17*v**4\/8 + v**3\/6 + 18*v**2 - 7. What is the second derivative of u(b) wrt b?\nAnswer: 60*b**3 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-3)*(0 - 1). Let i be (-1)\/(1\/(-4)*2). Sort p, 5, i in decreasing order.\nAnswer: 5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295331?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let v(w) = -4*w - 6. Let u(f) = -f + 2. Let n(z) = -12*u(z) - v(z). What is -36*l(x) + 2*n(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1105976, 2211951, 3317926?\n\"Answer: 1105975*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than or equal to 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(88)\/sqrt(8)) - (2*(sqrt(132) - (4*sqrt(132) - sqrt(132))))\/sqrt(12))*5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19008*s**2 + 0 + 0 - 18976*s**2.\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 - 0.6. Let k = 2.92 - z. What is k rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 54*u - 4736. What is i(103)?\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 14. Let v be y(-7). Solve 7 + v = 7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 3260616.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02 - 682.98. Let q = f - -679.89. What is q rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 16.6. Let v = 3.6 - 0.6. Let u = -8 + v. Which is the third biggest value? (a) j (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/17))**20)**(2\/141) assuming u is positive.\nAnswer: u**(-160\/2397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*i - 559 = -537, 29 = -l + 5*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16609*x**5 + 44183*x wrt x?\nAnswer: 332180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 + 113*y + 15. Let v(r) = 15*r**2 - 302*r - 44. Let h(i) = -8*p(i) - 3*v(i). Give h(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753 + 1613 - 860 - 2*v**2 + v - v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqxfxlxqqxlfflaxvxl. What is prob of picking 3 q?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3130011112012 + 0?\nAnswer: -3130011112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6038985721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1032920541 to the nearest integer?\nAnswer: 32139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 61*m**2. Let y(t) = -1288*t. Calculate y(g(c)).\nAnswer: -78568*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3))**(-1\/40)*(b*b\/b**(-7)*b)\/(b**9\/b))**(-2\/9) assuming b is positive.\nAnswer: b**(-119\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 436 + -434. What is the nearest to -0.1 in q, -1\/2, -0.24, -0.3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1551*t**3*v**3 + 3*t**3*v - 7*t*v**2 - 6*t*v wrt v.\nAnswer: 9306*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 1:38 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -306*x**2 - 34*x + 2977. Let j(a) = -305*a**2 - 39*a + 2979. Let y(o) = -6*j(o) + 7*l(o). What is the derivative of y(z) wrt z?\nAnswer: -624*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -36. Suppose 3*j - 278 = -c. Calculate the remainder when j is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wut when three letters picked without replacement from {t: 4, w: 13, u: 3}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (-5 + 0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 626808*x - 626767*x - 5)*(2*x**2 + 2*x**2 - 6*x**2).\nAnswer: -82*x**3 - 22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*i**4 + 107*i**4 - 45*i**4 + (2 - i - 2)*(-2*i**3 + 5*i**3 - i**3).\nAnswer: 74*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 1032*j**3 + 40964*j**2.\nAnswer: 4*j**2*(j + 49)*(j + 209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49 + -5?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 19, 63, 125?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 817814789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**3 + 36*p**2 + 121*p - 293. Determine r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2870494?\nAnswer: 2, 11, 130477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:06 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 17 - ((-48)\/(-63))\/((-1296)\/(-29646))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*x + (4*x - 6*x + 0*x)*(0 + 2 - 1) - 2*x - 4*x - 3*x + 2*x + 2*x - 2*x)*(-3 - 4*x**2 + 3) in the form q + h*x**3 + k*x**2 + y*x and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-60)*15*-13*19\/(-13338)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 - k**4 - k**4)*(-k - 4 + 4) - 2*k**5 + 0*k**4 + 0*k**4 - 183*k**5 + 199*k**5 - 20*k**4 + 21*k**4.\nAnswer: 12*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952553891?\nAnswer: 457, 1049, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*n**2 + 63*n**2 + 66*n**2 + 3188*n**3.\nAnswer: 3188*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -8 (c) 2\/9 (d) 0.2 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(242)*-3 - (sqrt(242) + -5*1*sqrt(242)))*3*-6)**2.\nAnswer: -3168*sqrt(2) + 313648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6974.322298 to the nearest integer.\nAnswer: 6974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -605183992 divided by 2.\nAnswer: -302591996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2. Let n(v) = -3070*v**2. Determine n(p(h)).\nAnswer: -49120*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 10*q - 31*q + 16*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/3 - 408\/(-36)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 x when four letters picked without replacement from iwixxwxqqqwqiiix?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35217 and 819?\nAnswer: 35217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -186203210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 308, 511, 614, 617, 520, 323?\n\"Answer: -50*h**2 + 353*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 595.54 to the nearest ten.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 311 - 310.99968438. Round c to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 10*b**2 + 7*b + 17. What is d(8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 776451897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) -1066313 (c) -2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*f**4 - 174*f**4 + 56*f**4 + (-58 - 55 + 111)*(f**2 - f**2 + 2*f**4) - f**4 + 3*f**4 - 4*f**4 to d*f**4 + r*f**2 + o + s*f + l*f**3 and give d.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/69 and -25\/23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/(333\/(-324)))\/(2*1\/(-16)*6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 3*r + 0*r)*(-3 + 0 + 2 + (0 + 5 - 3)*(0 - 2 + 4) + 0 - 5 + 3 + 15 - 2 - 2)*(-231 + 231 + r) to the form p*r + k*r**2 + b and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88\/45 + -14\/9. Which is the nearest to p? (a) -0.5 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*s - 4*s - 7*s + (-4 + 0 + 3)*(s - 2*s + 0*s) + (2 - 1 + 0)*(-115 - 6*s + 115) + 2*s - 3 + 3 + (0 - 3 + 1)*(-3*s - s + 3*s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14098 is divided by 3519.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/3 of a decade?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -31719340*h + 3*h**2 + 31719340*h. Let y(r) be the third derivative of -r**5\/20 + 2*r**2. Let a(s) = s**2. Let b(p) = -4*a(p) - y(p). Give b(t(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 742, 301, -33, 1, 4?\nAnswer: 742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3675? (a) 0 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60 - 745*k + 1542*k + 5*k**2 - 2*k**2 - 740*k.\nAnswer: 3*(k - 1)*(k + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4057688 and 139.34.\nAnswer: -4057548.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -951*g - 890*g + 1925*g - 3 - 2*g + 3 - 3 + (-g + 0*g + 0*g)*(-2 + 0 + 3) + 4*g + 31*g - 2*g to f + l*g and give l.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126308595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1169047, -1169038, -1169029, -1169020, -1169011?\nAnswer: -1169002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:56 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.51532 microseconds to hours.\nAnswer: 0.0000000156987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let m(p) = 24*p**2 - 4*p. Let l(r) = 16*r - 3*r**2 - 22*r**2 - 11*r. Let f(d) = 4*l(d) + 5*m(d). Give v(f(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(130)*-1 - sqrt(130) - sqrt(130))\/sqrt(10))**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.56 in -0.2, -580, -4, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-3)\/288*(-589)\/(-4123).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -0.1, 0, -2, 2\/17, 3.42?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 + 97. Find the second derivative of -2*i**2 - 6*i - 31*i**2 + 26 + k*i + 2*i wrt i.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 - o**2 - o - 1. Let d be f(-1). Let -t**d + 0*t - 1\/2*t**4 + 0 + 3\/2*t**3 = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -1679*v**6\/15 + v**4\/6 + v**3\/6 - 1621*v**2 + 5346*v. Find the third derivative of a(n) wrt n.\nAnswer: -80592*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 5117*b + 25580. Determine h(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10437, 20877, 31319, 41763?\n\"Answer: b**2 + 10437*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*i + 4 = -2*i, z + 4 = -2*i. Let y be (-1 - -1) + z*(-8)\/(-64). Put 1, 10, -2, y in descending order.\nAnswer: 10, 1, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 729 - 459. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -294, -590, -886, -1182?\n\"Answer: -296*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 2. Let t be x(-2). Suppose -2*r = t - 18. What is the third derivative of 0*u**2 - 3*u**2 + 8*u**r + 2*u**2 - 2*u**6 wrt u?\nAnswer: 720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) + sqrt(95) + sqrt(95)*1)*-1 + sqrt(95) + sqrt(95))\/((sqrt(5) + sqrt(80))*6 - sqrt(5)))**2 + 1 - 1*(-1 + (sqrt(171) + 1)**2)*-3.\nAnswer: 18*sqrt(19) + 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19663127.\nAnswer: 11, 1787557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148703 is divided by 107.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 6*t + 4. Suppose j = -t*j. Solve 0 = -q + 1 - j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233*q**2 - q + 1203 with respect to q.\nAnswer: -466*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/7 + 54526*l\/7 - 15580 = 0.\nAnswer: -27265, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 23\/107989?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*k - 2*k = 304, 0 = -d - 3*k + 76. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221676 and 2623166?\nAnswer: 15738996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -492354, -492349, -492344, -492339, -492334, -492329?\n\"Answer: 5*r - 492359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -16 in ascending order.\nAnswer: -16, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 10*z - 465 = -15*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 251459 and -703049.\nAnswer: -451590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0410511 times 167?\nAnswer: -6.8555337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + v - 2*v - v)*(-12756 + 25534 + 23*v - 12754) as j*v**3 + a*v**2 + k + u*v and give a.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 21 - (15 + 0 + -31 + 14) - -36.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 3.9. Let y = p + 2. Put y, -1\/5, 4 in increasing order.\nAnswer: y, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (2 - -6) + -14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 2*r**2 - 17*r + 14. Calculate b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -101110000001?\nAnswer: -101101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Let p be ((-2)\/s)\/(3\/(-12)). Solve -4*l = -p*q + 18, q = -0*l + l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 15. Let j(p) = -4 + 4 - 2*p - 1 + i*p. Determine j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -23, -4964, -5 in increasing order.\nAnswer: -4964, -23, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(140))\/sqrt(10))\/(sqrt(2268) + (sqrt(2268) - 1*sqrt(2268)) + sqrt(2268)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5209077?\nAnswer: 3, 1163, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23 and -9617.\nAnswer: -9640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53300989471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-3 - (-1426)\/18). Let u = -77 - c. Let f = 1 - 0.7. Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001168 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 80483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -1\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*4 + sqrt(42)\/sqrt(63))\/((sqrt(48)\/(sqrt(3)*1))\/(-1*sqrt(32)\/sqrt(4))).\nAnswer: -97*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*a + 10 = 0, -5*g + 3*a + 21 = -6 + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 3*o - 1. Let x = 8 - 4. Let l be m(x). Suppose 5*p + 10 = 0, 0 = -l*g - p - 2*p + 21. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-1 + 2) - -4. Suppose -c*n = -w - 7*n - 3, -4*w = -n - 9. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d + 15 = 31*d. Suppose 0 - 5 = d*a + 4*g, 6 = -3*g. Solve 0 = 4*b - 3*y + 4 - a, -b + 13 = 2*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -70273668?\nAnswer: -70273664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/(sqrt(1200)*3 - sqrt(1200)))\/((sqrt(5) - 2*sqrt(180)) + (sqrt(180) - (sqrt(180)*-2 - sqrt(180) - sqrt(180)))))**2.\nAnswer: 1\/28880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 12) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 135, 121, 101, 75, 43?\n\"Answer: -3*g**2 - 5*g + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24416257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 17 - 23. Let f be (x\/13)\/3 - (-3152)\/208. Let s be 1\/((-2)\/(-94)) - 2. What is the greatest common factor of s and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17919*u - 56. List the prime factors of z(1).\nAnswer: 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 2. Let z(g) = 2*g**2 + 23*g - 13. Let d be z(-12). Determine n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 35 + 10 = 0, 2*m + 5*g = -15. Let k be (m\/2)\/(0 + 11\/22). Solve 2*i + i = -5*h + 1, -h = -i - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -12 - (9 - -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8502615, -8502625, -8502635?\nAnswer: -8502645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s = -4*f + 26, f + 10 = -5*s. Sort -4, s, 0.\nAnswer: -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuauunpann. Give prob of picking 1 a and 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 219b (base 12) in base 5?\nAnswer: 104334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(27\/6 - 4). Calculate the smallest common multiple of 10 and (-4 + 5)*(i + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0 + 2 + v**2 + 2*v)*(-4 - 3 + 3).\nAnswer: -8*v**2 - 8*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (19 - (17 + -11 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4032\/660 + -6)*(-135)\/108\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 + 66 + 59)*(2*h**2 - 3*h**2 + 0*h - h)*(-2 + 1 + 5) in the form o + z*h**2 + c*h and give z.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = 0. Suppose 0 = -2*z - k*z. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - r**2 - 7*r + 1. Let w(f) = f**2 - 1. Calculate v(c) + w(c).\nAnswer: 2*c**3 - 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m - 11. Suppose -10 = -5*r - s, r = -2*r - 5*s + 28. Let g(j) = r + j + 2 - 1 + 0. Determine -11*g(a) - 2*y(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*w + 2*w**3 - 2 - 29*w - 111*w**2 - 3*w**3 as r*w**3 + m*w**2 + f + u*w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1035698 or -1035695?\nAnswer: -1035695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -4)*(-2)\/2. Let w(g) = g**2 + 14*g + 28. Let f be w(-14). Calculate the greatest common divisor of o and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**3\/3 - 22. Let h(i) = 26*i**2. Give x(h(j)).\nAnswer: -676*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 316, 5, -3, -5 in ascending order.\nAnswer: -5, -3, 0, 1, 5, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 0*i**4 - i**3 - 2*i**4 + 38 - 44 + 4*i**4 to the form o*i**2 + s*i**4 + h + q*i + d*i**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 + 0.16. Let n = -0.18 + 12.18. Let m = n - 13. Which is the biggest value? (a) m (b) -4\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -538*a**3 - 4*a**2 - 316*a - 2819. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -623.2 times 158?\nAnswer: -98465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 131\/100 and -14\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 23*m - 14. Let n(w) = 15*w - 8. Calculate 8*n(k) - 5*v(k).\nAnswer: 5*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q + 6. Suppose 4*t - 3 = n + 11, -q*t = n - 18. Suppose 6 = -2*l, 3*l - 11 - 8 = -n*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 4*m**3 - m**2 - 5*m + 1968. Calculate x(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from wisgwiwwwwiggwgiis.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) - 228\/(-54). Let n = -5 + 2. Sort 3, u, n in descending order.\nAnswer: u, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -4)*190*(-52)\/(-3835). Is -1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f - 3. Let g be j(4). Let n = g + 1. Suppose n*d + 0 - 8 = 0. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12*a = 0. Solve 2*y = -a*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, and 1 e when three letters picked without replacement from {e: 1, y: 1, b: 1, s: 1, z: 2, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {s: 3, f: 2, k: 6, h: 6, w: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78145 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*z - 20*z - 33*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16526874589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + t - 1. Let k(d) = -2*d**2 - 6*d - 3. Calculate k(h) - 4*s(h).\nAnswer: -10*h**2 - 10*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/840 in 0.2, 8, -126?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-292)\/219*(-6)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 11*q = 7*f - 25*q + 10*q + 116, q - 25 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**42\/(o*o**(-2\/3)*o*o*o\/(o*o**(1\/12)*o)))**19 assuming o is positive.\nAnswer: o**(6289\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 3*p**3 - 3 - p**3 + 0 as s*p**3 + x*p + q + l*p**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69805 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t)**(3\/16)\/((t*t**(1\/14))\/t)**(-2\/7) assuming t is positive.\nAnswer: t**(155\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 478*q**2\/19 + 972*q\/19 + 32\/19.\nAnswer: 2*(q + 2)*(239*q + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*a**4*b**3 - 2*a**3*b**3 + a**2*b**2 + a**2 + 13*b**3 wrt a?\nAnswer: 3936*a*b**3 - 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31393 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2917, -2 in ascending order.\nAnswer: -2917, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let w(q) = -1 - 2 - 24*q**2 - q + 19*q**2 + 4. Determine -9*a(b) - 2*w(b).\nAnswer: b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/9 - (-17)\/15)\/(2\/(-10)). Are d and -2\/2391 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 + 1. Let s be t(1). What are the prime factors of 6\/(-2) + s - -26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*r = -0*h + 5, 4*r = -h + 4. Let w(z) = -z**3 - z**2 + 4. Let c be w(h). Let t = c - 3. Are -1\/5 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3795.8 - 3796. Which is the nearest to k? (a) -1 (b) 2 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6) - -1)\/(1\/21). Suppose -2*n = 4*w + 10, -3*n + 3*w = -d*n. Solve -y = 5*k - n, -5*y + 3*y = k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (7 + 60\/(-8))*-962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(10\/3))**(-8\/19) assuming z is positive.\nAnswer: z**(56\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4541 - 6*i**2 - 45*i**3 + 3*i**3 + 883.\nAnswer: -42*i**3 - 6*i**2 - 3658","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -712, -1420, -2126, -2830, -3532?\n\"Answer: i**2 - 711*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0 (c) 1 (d) -4 (e) -3 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3052, -8627, -16720, -27331, -40460, -56107, -74272?\n\"Answer: -1259*x**2 - 1798*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17, 0.12, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 8 + -13 + -8 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1028*j - 343*j - 344*j - 67*j**2 - 343*j - 2*j**3)*(26 - 26 + 31*j**2).\nAnswer: -62*j**5 - 2077*j**4 - 62*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -4 + (-2)\/4)*2. Let u be ((-6)\/(-8))\/(18\/(-16)). What is the closest to -2 in a, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9694536?\nAnswer: 2, 3, 149, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301 - 66. List the prime factors of r.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120911 - -51?\nAnswer: -120860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 123. What is the smallest value in -1\/11, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -861 + 845 + 0 + 45.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -211, -422, -653, -910, -1199?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*h - 102 + 642. Suppose 0 = -f + 4*q + 20, f + h = -f - 4*q. Solve 3*s + 0*s + 0*s = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/20 - h**4\/3 - h**2\/2 + h. What is p(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(3) + sqrt(3) - (sqrt(108))**2.\nAnswer: -108 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 29. Let l be u(8). Let m be (-7 - -2) + 1 + -3. Let t = -10 - m. Put 2, t, l in increasing order.\nAnswer: l, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f + 2. Suppose 0 = 3*m - 221 + 101. Let o be 3*((6 - 1) + m\/(-10)). Calculate a(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 20*p**4 + 84*p**3 - 92*p**2 + 32*p = 0. What is p?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69762, 279065, 627906, 1116285, 1744202?\n\"Answer: 69769*j**2 - 4*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 29*a**2 - 30*a - 1. What is h(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q - 59*q = -1680. Suppose 2*t - 42 = t + 3*o, -4*t + 3*o + q = 0. Calculate the greatest common divisor of t and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/5 + 4244*d**4\/5 - 434544*d**3\/5 + 1278148*d**2\/5 - 253930*d + 84360 = 0. Calculate d.\nAnswer: -2220, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-42) - (4764\/14 - 1). Let r be 4 - ((-14)\/(-21))\/(2\/u). Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.53 and -0.049?\nAnswer: 1.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1300)*-3 + sqrt(1300) + sqrt(1300)*-3*5 + ((sqrt(91) + sqrt(91)*-1 + sqrt(91))*-2)\/(sqrt(1050)\/sqrt(6)).\nAnswer: -252*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.6944 minutes in milliseconds?\nAnswer: 51821664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*c - 73184, -25*p + 4*c + 73174 = -22*p. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 580*t. Let v(y) be the first derivative of -y**2 + 2295. Give c(v(s)).\nAnswer: -1160*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(1\/10) assuming l is positive.\nAnswer: l**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/110 and -2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*n**2 - 3*n**2 - 71682*n**4 + 71928*n**4 - 9*n**3 + 10*n**3 - n to the form a + j*n**3 + x*n + t*n**2 + q*n**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 + 310. Suppose 3*w + 0*w + 5*s - 53 = 0, -5*w + u = 4*s. Let t = -99 + 160. Calculate the remainder when t is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43\/3 + -15. Let g be 3 - (-46)\/(-11) - -1. Let a = g + 17\/33. Is a at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142684 divided by 1.\nAnswer: -142684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + 5*i - 70. Calculate g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2 - 27*f + 52. Is a(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 67 + 8289*v**3 - 72.\nAnswer: 8289*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 + 310. Let p be (5\/3)\/(u\/192). Let v(n) = 3*n - 3. What is v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861401 is divided by 579.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136647)\/2835 + 2\/(-20)*-22.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) 73 (b) 3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 83. What is the remainder when h(24) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.126 in -5\/2, -106, -0.4, 1, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 <= 641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -408 (b) 0.1 (c) -0.1 (d) 2\/11 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -283463 - -517?\nAnswer: -282845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0335 + -0.04. Let w = k - 66.8265. Let l = -68 - w. Sort 4, l, -1\/2 in decreasing order.\nAnswer: 4, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*d = 60 - 528 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 511947 divided by 5.\nAnswer: 511947\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -1, -0.1, -10, -3\/160?\nAnswer: -3\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, e: 1, n: 2, w: 5, a: 2, p: 2}. Give prob of sequence wnn.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/60 - 13*a**4\/24 - 5*a**3\/6 + 9*a**2 - 4*a. Let q(t) = -3*t**3 + 19*t + 7. Determine -7*p(w) - 5*q(w).\nAnswer: w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/271543 or 1?\nAnswer: -46\/271543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1.785 (b) 2\/3 (c) 3634\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 242555 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -24. Let p(b) = -13. Let t(w) = -3. Let m(l) = -2*p(l) + 9*t(l). Let y(z) = -2*z. Calculate f*m(c) + y(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3507*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1968 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -5*r + 2*g + 50, g = 3. Find the common denominator of -43\/11 and 2\/10*(r + -1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-24) + (2\/4*-16 - -10)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 821 - 749. Calculate the greatest common divisor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*7\/126 - 1352\/(-16). What is the greatest common divisor of 4764 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 26*m - 127. What is the remainder when 137 is divided by y(-31)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470935 * 70\nAnswer: -32965450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 58*x - 77. Let n(o) = -131*o + 155. Determine 9*j(s) + 4*n(s).\nAnswer: -2*s - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 41 = -2*o + 3*d, -3*o + 3*d = -156. Let g(l) = 3*l**2 - 3*l - 3. Let p = -37 + 40. What is the remainder when o is divided by g(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435*y**3 - y**4 + 9628*y - 4257*y - 4682*y wrt y?\nAnswer: -12*y**2 - 2610*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(300) + 5)**2 + -6*(sqrt(300) + 5)**2 + 6*(-4*(sqrt(300) + sqrt(300)*2) - sqrt(300) - (0 + sqrt(300) + 0))**2.\nAnswer: -460*sqrt(3) + 351199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11358.7 to the nearest ten.\nAnswer: -11360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3\/2, 0.3 in ascending order.\nAnswer: -3\/2, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)\/(w*w*w*w**1\/w)*w**(1\/5)\/((w*w**(-2))\/w) assuming w is positive.\nAnswer: w**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/24 and 101\/105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 5 - 10028*z + 5020*z + 5019*z)*(-2*z**2 + 4*z**2 - 3*z**2).\nAnswer: -z**4 - 11*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*z - 9*i = 187*z - 12*i - 1, 4*z + 5*i = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -59.95. Is -23.5 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1010\/23 < -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**2 + 38*u - u - 37*u + 3*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c72d7 - 216?\nAnswer: 2c70c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 10875*b - 5420*b - 5432*b.\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 + 249. Calculate the remainder when w is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481733308 a multiple of 1849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g*l**3*t**2 - 18945*g*l**3 - g*l*t - 975*l**3*t**2 wrt t?\nAnswer: -16*g*l**3 - 1950*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*i = 12, 14 - 29 = -4*k - 5*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/2 + 4313*a**2\/2 + 1438444*a - 1440600 = 0. What is a?\nAnswer: -588, 1, 4900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 1, p: 2, a: 1}. Give prob of sequence id.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 38 = -4*c + 80, 0 = -2*c + 3*p + 49. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 541861764 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 543480, 542949, 542418?\nAnswer: 541887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 5. Let o be n(-9). Suppose 4 = -o*x + 12. Let f(v) = -2*v - 5. What is the remainder when f(-5) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*m**3 - 44*m + 44*m + 3*m**3 - 2*m**3 - 4*m**3 + m**3 + 1 - 1 + (3*m + 3*m - 4*m)*(3*m**2 - 6*m**2 + m**2).\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559.896um to nanometers.\nAnswer: 559896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/25 and 8\/873935.\nAnswer: 4369675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.15 plus -7362255?\nAnswer: -7362202.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 16*q - 28. Let n be j(-17). Let g = n - 672. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b\/(b*b**(-1\/5)))\/b*b)\/((b**(-14)\/b)\/b))\/((b*(b*b**20)\/b)\/(b\/(b\/b**(-9\/4))*b*b)))**46 assuming b is positive.\nAnswer: b**(-1403\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 2*l**4 - 3*l**3 + 2*l**4 + 5*l**2 - 5*l**2 + (-2*l + 3*l - 2*l)*(3*l**3 - 4*l**3 + 0*l**3) - 14*l**4 - 66*l**4 - 40*l**4.\nAnswer: -119*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d**(5\/2)))\/d)**36*d**(-1\/14)*d\/(d\/((d\/(d**(-28)*d))\/d)) assuming d is positive.\nAnswer: d**(-1387\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least as big as -115176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 28. Let h = g + 35.9982. Round h to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:28 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/53, 0.19, -0.2, -3, 3\/4, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t - 18*t + 10*t)*(3*t**2 + 2*t**2 - 4*t**2 + (t - t + t)*(-t + t - 2*t)) to the form j*t + l*t**2 + u + i*t**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 + -130. What is the remainder when (-931)\/38*(n + -6) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*p - 114, -i - 2*p - 42 = -3*i. Suppose -8*a + i = 5*a. Solve 5*q + k + 1 = 5*k, -3*k - a = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 31*i - 59. Let y(s) = 67 - 134 + 67 + 87*s**2 - 86*s**2. What is y(n(u))?\nAnswer: 961*u**2 - 3658*u + 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.28 (b) 2 (c) -3 (d) 22 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -31. Let z = d - 35. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 28*m - 52. Is y(-20) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-15))\/((-6)\/110) + 2\/(-3). Sort -3, g, -5, -1\/6 in ascending order.\nAnswer: g, -5, -3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 11 = -4*i - 5*b, 0 = 5*i - 3*b + 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -2*k**7\/105 - k**6\/120 + 179*k**5\/60 + k**4\/24 - k**2 - 1035*k. What is the third derivative of l(o) wrt o?\nAnswer: -96*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -r + 17. Suppose -4*j - j + r = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2564.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63192 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18426 + -17857. What is the remainder when 1184 is divided by l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000037331 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0 + 0 + (q - q + q)*(-q + 0 + 0) - 1 + 1 - q**2 - 3*q**2 - 2*q**2 + 4*q**2 - 5*q**2 + 114 - 114 + 6*q.\nAnswer: -10*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197? (a) -4 (b) -1\/48 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 410 = 16*v - 518 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51179.\nAnswer: 61, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -49853.6?\nAnswer: 99707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12523.\nAnswer: 7, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1621)\/(-3242)*((-16)\/10)\/(-1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**9\/7560 + n**8\/1680 - n**6\/180 + n**5\/60 + n**4\/24 - 3*n**2. Let b(y) be the second derivative of s(y). Solve b(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3321, 9221, 20425, 39585, 69353, 112381?\nAnswer: 171321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 21*o**2 - 9*o. Let l(r) = 8*r**3 - r**2 - 4*r - 4. Let k be l(-1). List the prime factors of y(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 1, z: 4, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7652031 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1167402, -1167396, -1167390, -1167384, -1167378?\nAnswer: -1167372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, r: 3, j: 3, c: 4, g: 4}. What is prob of sequence rrce?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q + 5*t = 23, -q + 4*t = -2. Solve q = -s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49828?\nAnswer: 2, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(98))**2.\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6936 - 2375. What are the prime factors of h?\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -38, -84, -136, -188, -234, -268, -284?\n\"Answer: c**3 - 12*c**2 - 5*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -4\/4137453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 3, u: 8, c: 2, q: 5}. Give prob of picking 1 u and 1 q.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1530852*f + 7. Let p be c(3). Suppose q - 4*q = -8077647. Let k = q + p. Round k to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 819 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968272060*z + 4*z**3 - 2*z**3 - 968272060*z - z**3 - 6*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/6)\/((-1)\/(-18)). Let d(l) = 2*l**2 + 26*l + 36. Let u be d(-16). Let i = u - t. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 1, -23 in descending order.\nAnswer: 7, 1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -673 + -668170?\nAnswer: -668843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose 18*r + 3646 - 1947 - 1825 = 0. Solve -3*h = 0, r = d*v + 3*h - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9111\/7 - -1304. Let d = -3429 - -209200\/61. Calculate the common denominator of d and x.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 10.2.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j + 10. Let s = 15 - j. Let n be ((-4)\/(-14))\/(s\/35). Solve -5*c - 17 = n*h + 12, 3*c + 19 = -2*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(2) - 1*sqrt(2))) + -4 + (sqrt(6) - sqrt(24)*-1)\/(sqrt(24)\/(sqrt(8) - sqrt(8)*-2)) + 3.\nAnswer: -6 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*12\/40)\/(((-27)\/360)\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 13. Let b be r(-3). What is the first derivative of 679*n + 49 - 679*n + 20*n**b - 64*n**4 wrt n?\nAnswer: -176*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52258 and 97.\nAnswer: -5069026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 1128*p - 318096.\nAnswer: -(p - 564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11613405 (base 7) to base 6.\nAnswer: 34225013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -133a830 (base 13) to base 16\nAnswer: -5c4fc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*-1*-4 - (-2 + sqrt(1008)*2))**2 + -2 + sqrt(112) + 0 + ((6*(2*sqrt(112) + sqrt(112)) - sqrt(112))**2 - sqrt(112)))*2.\nAnswer: 192*sqrt(7) + 72804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -466 - -463. Which is the biggest value? (a) -0.05 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010943228 rounded to 7 dps?\nAnswer: 0.0001094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12194*u**3 - 5161725*u + 5161725*u)*(-4*u + 4*u - u + (2*u + 2 - 2)*(-5 + 2 + 1)) + (-1 + 1 + 2*u)*(-2*u - 2*u**3 + 2*u).\nAnswer: 60966*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-4)\/(1 - 61))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 1. Let o(y) = -3*y - 90. Let n(z) = -o(z) + 4*x(z). What is the units digit of n(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2953 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840 - 608 = -29*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40b9 + 7748?\nAnswer: b845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g + 10. Let d be y(2). Let w be (24\/(-60))\/(d\/(-20)). Let l(i) = 26*i - 8. What is the units digit of l(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 5)*(-3)\/3. Let m(i) = -5*i - 10. Let c be m(o). Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-360)\/(-400))\/(1\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - n**3 + n - 6*n - 6*n**2 - 35 - 10*n**2. Let z be i(-16). What is the greatest common divisor of 91 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:16 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546 is divided by 236?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1572*h**2 - 802*h**2 - 787*h**2.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(3\/4)*i*i**7*i)\/((i**(1\/3)\/i*i)\/(i**0*i)) assuming i is positive.\nAnswer: i**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f + 7451 + 2678 = 865 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*j - 3)*(-4*j - 11 + 0*j + 8).\nAnswer: -8*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 85. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 8521389.\nAnswer: -2\/2840463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6007173, -6007175, -6007177?\n\"Answer: -2*g - 6007171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.64 + 0.06. Let c = j + -0.8. What is the nearest to c in -0.1, -2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 597*w + 1402*w + 35*w + 969*w.\nAnswer: 1809*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + -1.97. Let l(p) = p**2 - 7*p - 86. Let g be l(11). Let m be 1 - -19*2\/g. Is c at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*d + 17*d + 81669. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -2. Let g = v - 94. Suppose 0 = -5*t + 38 - 13. Sort g, 2, t.\nAnswer: g, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*c + 97. Let b = -1 - -1. Suppose 3 = f, b = -u + 3*f + f - 10. What is the lowest common multiple of c and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 1, -14 in decreasing order.\nAnswer: 1, 1\/10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 54?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -152. Let a = 70 + h. What is the remainder when 200 is divided by a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(3\/6*-2) + 6. Let g be -1*(-4 + b)\/(-5). Solve k + k - 3*p = g, 2*p = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.51705 rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m**2 + 54*m - 404. Is 4 a factor of k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186461 is divided by 95?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + t + 1. Let w be (0\/(-1) + 1)*-1. Let u be k(w). Let n = -5 - u. Sort n, 1\/7, -2 in increasing order.\nAnswer: n, -2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**5\/3 + 230*y**4\/3 + 545*y**3\/6 - 4025*y**2 + 18375*y\/2.\nAnswer: 5*y*(y + 15)**2*(2*y - 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 113412533 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-504)*-7*315\/(-196)\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/12*(1 + 2). Suppose -2 = 2*p - 10. Solve p*j + 3 = u*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, -92.6?\nAnswer: -92.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 5*s + 2182 - 2*s - 6*s**2 + 13*s**2 - 2191 to the form q + r*s + b*s**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46045545 and 27729?\nAnswer: 3081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56, 63, 76, 95, 120, 151, 188?\n\"Answer: 3*l**2 - 2*l + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 1)**2 + 0.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 4 = h. Let w be 212\/h + 12\/54. Suppose 2*g = -l + 24, w = g - l - 4*l. What is the least common multiple of g and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 8634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pptp when four letters picked without replacement from mptmmmppmffmpmmmmmmt.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*x - 54 - 58. Calculate the remainder when 259 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 10 = -2*f, 4*z + 2 = -28*f + 23*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(-19*w**2 - 2*w**2 + w**2).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 112.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1139438 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 243\/36*3\/((-9)\/16). Let p be (-136 - -1)\/(27\/f). Suppose p = -10*g + 13*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.8. Let d = 207.5 + -208. Sort m, d, 0.4.\nAnswer: d, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100.86 - 100.76. Sort -1\/6, 0.237, 5, k, 1 in increasing order.\nAnswer: -1\/6, k, 0.237, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 4*m, 3*b + 223*m - 222*m = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t**3 + t**2 + t. Let j be d(-1). Let n = 62 + j. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**4\/54 + 4*n**2\/9 + 43*n - 75. Let l(p) be the first derivative of j(p). Factor l(x).\nAnswer: -2*(x - 2)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrxrrrrrxxrr. Give prob of picking 3 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 245\/10832 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3.1. Let j = k - 0. Let w = -3.7 - 0.3. Sort j, w, -1\/3 in descending order.\nAnswer: j, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 266, -8 in increasing order.\nAnswer: -8, -5, 5, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000100000011101001101011 + 11?\nAnswer: 1010000100000011101001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(612) + sqrt(612) + (sqrt(612) - 5*(1 + sqrt(612))))**2.\nAnswer: 108*sqrt(17) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**3 + 3*d - d + 5 - 4 + d**2. Suppose -137*c + 50 = -135*c. Suppose c*i - 15 = 40*i. Calculate f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = -4*s - 24*v + 680, -4*v = -3*s + 505. Let d = -137 + s. Calculate the smallest common multiple of d and 9.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5056294 millilitres to litres.\nAnswer: 0.0005056294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.5, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 107*x**2 + 3808*x + 1034. Give v(78).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1400.66997 hours?\nAnswer: 8.33732125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2. Let f(b) be the second derivative of -b**4\/12 + b**2 + 3*b. Let i(a) be the first derivative of f(a). Calculate i(h(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -12\/307 (b) 13 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 602362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/((-84)\/15)*2\/1. Let j(u) = u**2 - 3*u - 2 - 2*u**2 + 0*u**2. Determine j(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/392 + (7 - 1396\/(-32)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, -8, -0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5100 and 32899420?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 459 + -458. Sort -0.1, -4, 34, m in decreasing order.\nAnswer: 34, m, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 5\/7, -0.3, -45?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - 7*o**2 - 3*o + 10. Let x be p(4). Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179294?\nAnswer: 2, 157, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -4\/3, 2\/69, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 less than -933827?\nAnswer: -933848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 490398.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/250 + -1\/375. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4269*j - 14. What is the thousands digit of z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.8198 rounded to zero dps?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 62272*q**3 - 484725248*q**2.\nAnswer: -2*q**2*(q - 15568)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123924 divided by 276?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8721758585.4740243 - -459.4740243. Let t = -8721758093.699999235 - x. Let y = -32.3 + t. What is y rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55145 * 1\nAnswer: -55145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ott when three letters picked without replacement from stttotsosottttst?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/((3488\/(-96))\/(-109))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3*(-5 + -1). Let m be (0 - a) + (-7)\/7. Let o be m*2\/(-3) - 1. Do -3\/7 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 9)*(-23)\/46. Sort -12, u, -5 in ascending order.\nAnswer: -12, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 9030?\nAnswer: 9027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(432))**2.\nAnswer: -433 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/9 + 3\/(-9). Let c(q) = -q**3 + 7*q**2 + 5*q + 8. What is the remainder when c(v) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*n - 31*n + 27*n - 5*n**3 - 11*n + 2 to k + d*n**3 + f*n**2 + a*n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -102 + 96 + 0 + 2 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-66)\/(-30) + 2\/(-5). Put h, -3, 3, -4 in decreasing order.\nAnswer: h, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 11*n = -9*n. Solve n = -74*b + 75*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -606\/25?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.06 (c) 4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24 + -18 + 4)\/(1 + 1). Solve -113*q + 112*q + 2*t = -7, 2*q + w*t + 31 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**2 + 6*o**2 - 3*o**2)*(2*o**3 - 3*o**3 - 3*o**3).\nAnswer: -48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6320 and 37\/14220.\nAnswer: 56880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -7*f**2 - 152*f + 47. Let l be n(-11). Is l smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3\/(4\/((-16)\/(-4)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 3, -4.\nAnswer: -10, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9766 + -195439\/20. Suppose 17 = 2*m + 45. Find the common denominator of (-377)\/(-28) - 4\/m and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13720092 to the nearest integer?\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - -10) + -5 + 2 + 26.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.8 + 8. What is the closest to 1 in g, 0.1, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-171)\/(-21) - 18\/126. Solve -12 + y = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-63)\/420*(-225)\/765.\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*m - 8, -m = 4*k + m. Let h be (-1 - k - -4) + 73. What is the remainder when 735\/11 + 14\/h is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147282542?\nAnswer: 2, 83, 12935437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -50105439.9 plus -0.4?\nAnswer: -50105440.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + b**2 + 9*b - 15. Calculate w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 5:18 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016833118 to seven decimal places.\nAnswer: -0.0016833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 5*b**2 + 4*b**2)*(b**3 - 3*b**3 - b**3) + 679 - 341 - 348 - 20*b**5.\nAnswer: -14*b**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540426, 540425, 540424, 540423, 540422?\nAnswer: 540421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281634 + 49721 = 5*r - 102480. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/1225356 and -65\/1372.\nAnswer: 420297108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1\/6 (c) 807 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, 363, 881, 1619, 2583, 3779?\n\"Answer: r**3 + 101*r**2 - 6*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103111131303 (base 4) to base 3.\nAnswer: -100112111220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = -4*d - 80, -144 = 4*w - 4*d. Let i = w - -35. What is the third derivative of 5*m**6 - 21*m**2 + 18*m**i + 3*m**6 wrt m?\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51*-0.156\nAnswer: 7.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359261\/156 + 6911\/3. Let x = a + -6\/13. Let k = 3.3 - 3.4. What is the biggest value in x, -2\/5, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 794 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.036 milligrams in nanograms?\nAnswer: 318036000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v - 15 = 0. Suppose h - 4 = 15. Let w = v + h. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 16*r + 27. Suppose -5*d - 3*n = 6, r*n + 0*n + 6 = 5*d. Does 1\/193 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 3275*f + 3275*f + 8 - 8.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189152 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5003 (base 6) to base 7.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {y: 1, n: 2, e: 1, c: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-10))\/((-98)\/245)*-6. Solve -4*i - q*k = 20, 2*i + 0*i + 3*k + 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*592\/(-5328)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/12 and 49\/458.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)*u*u**0)\/(u**(-1\/4)\/((u*u**(-4))\/u*u)) assuming u is positive.\nAnswer: u**(-55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.3 + -21. Let h = u - 23.3. Let r = 20 + h. Which is smaller: 2\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6535, 6537, 6539, 6541?\nAnswer: 6543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11050? (a) 10 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(6776))\/(sqrt(128) + (-5*1*sqrt(128) - sqrt(128))).\nAnswer: -11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1075 + 56 = 29*t. What is the remainder when t is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-32)*(-18 - (-1246)\/70))\/(3\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11529*d**4 - 49*d**2 + 7*d - 1 wrt d.\nAnswer: 276696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/(-56*1\/(-98))*-6\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3 (c) 5\/6 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 305*m - 6726. Calculate j(23).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + 6) - -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -3\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10a255 (base 12) to base 3\nAnswer: -111112112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 + 4*o - 6. Let g(f) = -34*f + 173. Let j be g(5). Calculate l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -353, -325, -297?\n\"Answer: 28*n - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -1\/24*v**4 - 2\/3*v**3 + 66*v**2 + 0 + 0*v. Give b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*r - 3*t + 59, -5*r - 4*t + 13 = 0. Is r at least -2\/273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000200713885 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*o = 16, -28*w + 117*w + o - 5 = 88*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let t be o(0). Suppose 0 = -3*q - 2 + 11. Suppose 1\/2*s**2 - 1\/2*s**4 + 0*s + t + 0*s**q = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 60 = -13*l. List the prime factors of 49\/4 - (-3)\/l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Suppose -51 = -4*t + a, p*a + 41 = 4*t - 13. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = -5*o, o + o - 4*n + 16 = 0. Suppose -4*w + s = -3*s - 28, 3*s = o*w - 12. Calculate the remainder when (-146)\/(-6) - 4\/(-6) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -3*n**5\/20 - 4*n**3 - 20*n**2. What is the derivative of u(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.006, -0.4, -7, 142, -5?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 - 28*m**2 - 6019*m + 6019*m - 18*m**2.\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151288672831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -47 * -410.3\nAnswer: 19284.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 11. Let s(f) = -f**3 + 2*f**2 + 3*f + 1. Let y be s(-2). Let v be u(y). Suppose v = 3*h + 8 - 44. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301234361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, x: 3, a: 1, s: 2}. What is prob of sequence axsw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.02 + -5. Let w = -26747.2 - -26747. Which is the third biggest value? (a) 4 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -450, -471, -490, -507, -522, -535, -546?\n\"Answer: y**2 - 24*y - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126 = -4*o - 1138 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2922643 rounded to four dps?\nAnswer: 0.2923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 y, 1 g, and 1 b when four letters picked without replacement from obooggofgyb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.2, 2, 0.1.\nAnswer: -0.2, -0.1, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175158142?\nAnswer: 2, 21187, 27733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11029*z - 11021*z - 64. Let o(y) = -5*y + 44. Calculate o(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 33721.331 days?\nAnswer: 4817.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6239 = -6*h + 6959. What is the remainder when h is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykoy when four letters picked without replacement from tkiiitkiitctioyyt?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19784 - 6121. List the prime factors of n.\nAnswer: 13, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(((-45)\/(-21))\/3 + -1). Suppose a*z - 2957 - 9069 = 0. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 and 131\/230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*k - 80*k + 6, 5*t + 5*k = -5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1531, 1534, 1537, 1540?\n\"Answer: 3*a + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 770 and 120?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 35. Give k(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2801, -2564, -1821, -320, 2191, 5964?\n\"Answer: 42*g**3 + g**2 - 60*g - 2784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469 minus 38780389165?\nAnswer: -38780383696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-32) + -3 - (-2 - -4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 1, h: 1, a: 2, g: 2, m: 2}. What is prob of picking 1 p, 1 e, and 2 a?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-117)\/(-6))\/13*1\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = t + t. Let s(x) = -x**2 + 49*x + 126. Let y be s(6). Calculate the greatest common factor of t and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6512 and 20683.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*j - z - 124, -2*z = j - 59. Let x(l) = -l**2 + 11*l - 3. Suppose 2*v - 32 = -2*v. What is the remainder when j is divided by x(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-39)\/(-6) + -20*6\/48\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -183, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -196\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2. Let h(b) = 637094*b + 4. What is h(p(t))?\nAnswer: 1274188*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -151, -414, -789, -1228, -1683?\n\"Answer: 8*c**3 - 104*c**2 - 7*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h\/(h\/h**(1\/10)))*h)))\/(h*h**7*h)*(((h\/(h**1\/h)*h)\/h)\/h)**43*(h**(2\/9)\/h*h**(-2\/31))**(-14\/5) assuming h is positive.\nAnswer: h**(-13229\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 13469415688*y - 13469415688*y + 136*y**3.\nAnswer: 136*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347.014 less than -0.05?\nAnswer: 1346.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*20\/45*105\/(-10). Sort 2, -3, 4, r.\nAnswer: -3, 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2071045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28647*a*u**6 + 2*a*u**3 + 57*a*u**2 + 7*a*u - 2*u**2 - 2 wrt u?\nAnswer: 3437640*a*u**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/2128011 + 291536237\/1351286985. Let f = 2\/127 - g. Which is the biggest value? (a) 1\/7 (b) 2\/7 (c) -2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b**3 + 29*b + 630. Let n(p) = 15*p**3 - 29*p - 629. Let y(g) = 4*n(g) + 5*v(g). Find the first derivative of y(r) wrt r.\nAnswer: -30*r**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1296 and 6237?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6810.877 and 144.\nAnswer: 6954.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let s = -164.2 + -42.8. Let z = -212 - s. Sort z, -1, -0.4, w.\nAnswer: z, -1, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 5. What is the remainder when 59 is divided by w(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*m**3 + 221*m**2 wrt m.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*i - 24 = -11, 2*i + 7 = -t. Which is bigger: t or -3\/275?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z = 157*z - 464 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 3. Let m be (-2)\/5 + 8\/20. Let h be 2*3\/(-2) - m. Let u(r) = -5*r**2 - 8. Calculate h*u(k) + 8*a(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 2*u = 6*r + 776, 5*u - 20 = 0. What is the second derivative of 18*b**2 - 3*b**5 - 3*b**2 + 97*b + r*b - 119*b wrt b?\nAnswer: -60*b**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = c + 3*o, -o = -2*c + 2. Suppose 3*k - 5*n + 13 = 0, 0*k - c*k - 2*n + 2 = 0. What is the units digit of -1 + 3 + -3 + 39 + k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13603889 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fug when three letters picked without replacement from ugefg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140131 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 335475 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: Simplify (y\/y**(1\/4))\/(y*(y\/(y\/y**(-3\/2))*y)\/y)*(y*y**0)\/(y*y**(2\/5))*((y*y**(2\/3)*y*y)\/(y\/y**(-1\/4)*y))\/(y*y**(1\/2)*y*y*y*y\/y**(-3)) assuming y is positive.\nAnswer: y**(-187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 11*v - 7. What is w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - (-19808716)\/(-132660). Let w = 19\/3015 + v. Let r = w + 149. Is r > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 25 = 12*n. Let f(q) be the second derivative of 3*q**4\/4 + 4*q**3\/3 + 3*q**2 - q. Is f(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t = -35*t - 1150. Calculate the greatest common factor of t and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 58 - 9*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 6:28 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liiiyiioliil. Give prob of picking 1 y and 1 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/132188 and 145\/198282.\nAnswer: 396564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 2*f + 2. Let z be l(-1). Suppose -3*u = -5 - 1. Is (-59)\/(z\/2*u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-21) + (-10)\/35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*n - 5 = 0, 2*l - 3*n = -2*l + 20. Suppose p = l*p - 296. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 + 2*v - 6. Let q be x(5). Suppose q*r = -20, -5*s + 3*r = -r + 15. What are the prime factors of s\/(-2) - (-3)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 12*h. Solve -2*y + 0*y = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.21 (c) 2 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 58*m + 479. Give a(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 14*t**2 + 14*t + 11. Let j be i(15). Let r be (-1)\/(-4) + (-7)\/j. Solve -8 + r = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249095825 and 275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/9 - (-4)\/(-18). Let a(k) = 6*k + 6. Suppose 19*o - 240 = 387. Let t(x) = 27*x + 5 + o*x + 24*x - 79*x. What is v*t(g) - 6*a(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4 - 111. Let r = 112 - t. Solve -r*b + 30 = 5*i, -3*i + 3*b = b - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q + 20 = 0. Let h(r) = -r**2 + 3*r + 4. Let n be h(q). What is n rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**5\/25 + a**3\/15 + 8. Find m, given that o(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58327 less than 57917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1401882 (base 11) to base 12\nAnswer: -98748a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17293 is divided by 168.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 7) in base 12?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 718*w - 726*w. Solve w = 5*z - 121*z + 464 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-40) + 4 - 3 - (-41 + (-3420)\/(-600)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -23) + 18 + -1 - (2 + 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 82*b**2 + 83*b - 23. Let q be g(83). Let u(o) = 2*o**3 + 45*o**2 - 23*o. Give u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/12187 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -29*m + 101. Let k be i(-19). Suppose -3*c + 1038 = q - k, -5*q + 5*c + 8370 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.48 + -141.48. Let v = p + 139. Sort 0.3, -3\/7, -12, v.\nAnswer: -12, v, -3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -33, -95, -195, -339, -533?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 6*r**2 + 3*r - 3. Let u be 1\/4 + 17\/(-4). Let p be n(u). Solve i - k - 4 + 3 = 0, 5*i - p = k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((45\/(-36))\/(-5)). Solve 2 - 9 = -d + 4*m, -s*d = 3*m + 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 15 - 3. Let b = i - 10. Suppose v - 8 = 3*f + 4, -5*v = 4*f + 35. Sort v, 0, b in descending order.\nAnswer: 0, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*r + 9*r. Suppose j = -r*j. Solve -2*n = -j*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 21. Let z be t(-20). Suppose -26 - z = -9*j. Suppose 2\/11*a + 0 + 2\/11*a**j - 4\/11*a**2 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 60. Let w be (-9 + (-10)\/p)*-5. Solve 0 = h, -5*b + 8*h - 4*h - w = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*v = -56*v + 17442 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/720 + f**5\/12 - 4*f**2. Let a(n) be the third derivative of u(n). Let l(o) = 2*o + 2. Give 2*a(y) + l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 8*w**5\/5 - 13*w + 5. Differentiate q(b) with respect to b.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23a98b - 19?\nAnswer: 23a972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-38)*-1 + (-1)\/5. Let o = -1087\/8360 - m. Find the common denominator of o and 1\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.3434 nanometers in centimeters?\nAnswer: 0.00002373434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a. Let c be (-8)\/(-6)*(-12)\/(-8). Let w be 1\/c*(-4 + 2). Let h be t(w). Solve 5*y = -4 - h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 10*y = -48 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 + 4.02. Let y = -11\/90 - -119\/90. Sort p, y, -7 in descending order.\nAnswer: p, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - 2\/(-84)*-51.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427809, 855615, 1283421?\nAnswer: 1711227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000024 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 3*v**2 - 4*v + 1. Let l = 84 - 80. Determine i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) 14 (c) 55\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h + 9. Let m be q(-6). Let v be (-24)\/(-10) - (-10)\/(-25). Suppose 4*n - m*n + 80 = 3*y, v*y = 5*n + 62. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*o - 463 - 193 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**3 - 2*j**2 + 2*j + 2. Let u(f) = -f**3 + f**2 - 1. Let v(c) = k(c) - 4*u(c). Suppose v(w) = 0. Calculate w.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1323 and 14\/10666953.\nAnswer: 1568042091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2402, 2404, 2410, 2420, 2434, 2452?\n\"Answer: 2*t**2 - 4*t + 2404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 75 = 3*q - 2*y, 170 = -5*q - 4*y. Let i = q - -42. Let b(h) = -h**3 - 5*h**2 - 5*h + 4. What is the least common multiple of b(-4) and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b*b**0*b)\/(b**(2\/7)*(b**14*b)\/b) assuming b is positive.\nAnswer: b**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*b + 1016 = 578*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 1244500505543 - 2*n**2 + 1244500505543 + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/117 and (-5)\/(20\/8) + (-425)\/(-360)?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvkv. What is prob of picking 3 k and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w - 3. Let r be 2 + w\/(2 + 1). Let v be 0*(2 + r + -2). Solve 0 = -c - 4*i - v*i + 11, 4*i - 21 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 8 - 17 - (-8 - -26).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4025040 divided by 1082\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12736, 1, -4.\nAnswer: -12736, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 34*i + 103. Let k be c(-3). Which is bigger: 1\/5165 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 2*r**4 - 5*r**4 + (0*r**3 + 3*r**3 - 6*r**3)*(2 + r - 2) to g*r**4 + q*r + o + p*r**2 + k*r**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i + 184. Give f(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.3099 millennia to centuries.\nAnswer: 9273.099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3*1*(-4810)\/(-1110)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 6669579.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 7*i + 2*i - 57 = 7*z, -6*i = -4*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**8\/p))\/p*p\/(p*p**41\/p*p))**(-8\/3) assuming p is positive.\nAnswer: p**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + k - 4. Suppose 4 = -4*w - 4*a, -w = 3*w - 4*a - 4. Give t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5969641 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: Suppose 1370 = -0*o - 5*o. Let j = o - -880. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5 = 13. Let r(g) = 6*g - d*g - g - g. Let c(q) = 1. Let v(j) = -6*j + 1. Let z(x) = -2*c(x) + 2*v(x). Give r(z(l)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 3*i - 1. Let j be y(-1). Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 343 + dba?\nAnswer: 10fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (0 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((51 - 11) + -19 - 17 - 7) + (-33 - 0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 15*a**3 + a**2\/2 + a - 4. Let q be s(-1). Let g = 110 + q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4 - 2 + 189999*l + 1. Let b be x(3). What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b - 3, 2*p = 4*b + 222. What are the prime factors of p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.1 - -23. Let c = -1.1000062 - i. Round c to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80477 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 31.\nAnswer: -12, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:32 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 4 (c) -0.317 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/45*-1*1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/((-44)\/462*14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 - 55\/(-10). Let t(a) = -16*a + 1. Let p be t(-4). Suppose 0 = -d*v - 5*n + p, 18 + 34 = 4*v + 3*n. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 4:20 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5*p**2 + 11*p + 30. What is c(8)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2))**(-17\/3)*h**(3\/5)\/h**(2\/11) assuming h is positive.\nAnswer: h**(981\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -42 + 92. Let b be 44\/110 + (-1616)\/j. What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217 (base 9) in base 4?\nAnswer: 121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 19. Let l be u(19). Suppose -5*a = -5*m, l = 2*a + 3*m - 10. Determine k so that 9*k**3 - 8*k**2 - a*k**5 - 9*k**3 + 6*k**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307015 + 613992 - 27*p - 306977.\nAnswer: -27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207745 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32185*j**3*l**4 - 35*j**3*l**2 - 816*l**2 wrt l.\nAnswer: 772440*j**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 3 + -12 + -10 + 17 + (-5 - -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -23*s + 71. Let y be x(3). Put y, -39, -2 in decreasing order.\nAnswer: y, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 348 + 408 = 4*z, 3*j = -2*z + 38. Solve j*x = x - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 176\/(-92) - ((-522)\/345 - -2). Which is the nearest to 15\/8? (a) -3 (b) 3 (c) r (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:32 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(121))\/(-1*sqrt(891)) + -3*-1*(sqrt(99)\/(sqrt(9)*1) + (sqrt(11) - (sqrt(11) - 1*sqrt(176))) + sqrt(11)).\nAnswer: 178*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*-3*sqrt(264))\/sqrt(11))\/((-5*sqrt(56)\/sqrt(7) - sqrt(8)) + sqrt(512) + sqrt(512)*-3 + sqrt(512)).\nAnswer: 18*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 12*q - 9. Let i be w(-11). Solve i*s + 2 = 2*t, s + 3*s = -16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 855812*y**2 - 5*y - 358992?\nAnswer: 1711624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -29. What is the third biggest value in b, 0.1, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/51 - 5384\/(-2210) - (-26)\/(-169).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 13. Suppose 4*x + 9 = i, 3*x - z*x = i + 5. Is -2 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 13*q**2 + 5*q - 19. Give w(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11027 or 11025?\nAnswer: 11027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72030 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8283552?\nAnswer: 2, 3, 86287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 + -0.7. Let x = -0.7 + b. Which is smaller: 0.3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100 (base 2) to base 9.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -17976?\nAnswer: -1\/4494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13210023003 + 0?\nAnswer: -13210023003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2381*q**2 + 1624*q**2 + 279 - 279 to the form v*q + z + n*q**2 and give n.\nAnswer: 4005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 3*j**2 - 4*j**2)*(j + 0*j + j) + (-10*j - 1 + 0 - 2)*(63*j**2 + 15*j**2 + j - 2*j).\nAnswer: -782*j**3 - 224*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3023121 (base 4) to base 12.\nAnswer: -7649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 17*m**2 + 30*m + 5. Let y be i(15). Suppose 3*l + 50 = 2*o, 2*o - 175 = -3*o - y*l. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68399\/10 + -6831. Let d = 3639\/5 + -736. Find the common denominator of p and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1 + (2 - 2 - 1)*(-1 - 1 - 1) + (3 - 1 + 0)*(-5 + 3 + 1))*(14*q**2 - 8*q**2 - 4*q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(-17078*x**3 + 974*x**2 - x**5 + 17078*x**3).\nAnswer: x**5 - 974*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3946*y = 122719 + 113741 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 10214057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2849*y - 48433. Let n be b(17). Suppose 2 = -3*l + 8. Solve n = -l*m - m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1581, 179, -2183, -5511, -9811, -15089, -21351?\nAnswer: -28603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12536\/36 + 10\/(-45). Let s be y\/14 + 11\/77. Let r(k) = -k**3 + 4*k**2 - 3*k + 3. Let j be r(2). Calculate the highest common divisor of j and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 329299 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 18*f - 129. Let r(y) = -4*y + 24. What is 2*p(h) + 11*r(h)?\nAnswer: -8*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + -24 - -45.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -365195 divided by -5\nAnswer: 73039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 7084375 and 7084375 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45059 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(200) + 4)**2 + -3 - (-2 + -4*(sqrt(200) - (sqrt(200) + sqrt(200) + sqrt(200) + 1))**2)) + 3.\nAnswer: 240*sqrt(2) + 3422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2945 and 70825483?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.4 - 0.6. Let x = -16.000086 - b. Round x to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463375 is divided by 877?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -6\/7, -1\/9, -0.232, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*a**3 - 1\/5*a**2 + 0 + 0*a = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23832?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20474.67 + -20476. Is -2\/15 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(1584) - sqrt(1584) - sqrt(1584) - sqrt(1584)*1*-4)**2 + ((-1*sqrt(99)*1)\/(2*sqrt(900)))**2.\nAnswer: 144*sqrt(11) + 5704011\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (165\/45)\/((-2)\/42). Let n = q + 384\/5. Sort n, -5, -1\/2.\nAnswer: -5, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/117 and -119\/45396.\nAnswer: 45396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 2, -2, 34, 3, 641 in descending order.\nAnswer: 641, 57, 34, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 - 44*h**4 - 525*h**3 - 882*h**2 = 0. Calculate h.\nAnswer: -21, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20518*n**4 + 2*n**2 - 478612 wrt n?\nAnswer: 82072*n**3 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w + 1. Let n(m) = m. Let l(g) = -d(g) - 6*n(g). Let z(o) = -913*o - 4. Let s(c) = 20545*c + 90. Let b(h) = -2*s(h) - 45*z(h). What is l(b(k))?\nAnswer: 130*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 16) + 4 + 18 + (0 - -6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -7 - (-4)\/(-1). Solve -w*q + 5*g + 41 - 9 = 0, -3*q = -4*g - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47815, 80626, 113437, 146248, 179059, 211870?\nAnswer: 244681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 641884 and 6256?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mww when three letters picked without replacement from avmwvvwmwmavavmzmmaa?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5936.8 to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 2*h + 0*h)*(2 - 2 + 3)*(-36*h + 60*h - 2 - 32*h) to the form l + m*h + j*h**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuku when four letters picked without replacement from kuupukckbkpi.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86.7829 + 0.0171. Let c = 74 - r. What is c rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5692 is divided by 184?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-60) - 169\/(-195).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3646 is divided by 464.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 182*f**2 + 2*f + 2. Let n be d(-1). Suppose -10*s - u = -14*s + 803, n = s - 4*u. List the prime factors of s.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 13. Let a = o + -7. Let g(f) = -11*f - 1. Calculate g(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93195632?\nAnswer: 2, 17, 23, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237503 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-1)*(-1 + 0). Let v = 3 + b. Let l(z) = 146*z**2 + 2*z. Let y be l(-1). What is the highest common factor of y and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 8*x + 9. Let t be y(-9). Suppose t*n = n - 5. Factor 0*r + 0*r**2 + 0 + 1\/2*r**3 + r**4 + 1\/2*r**n.\nAnswer: r**3*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(432\/(-126))*-16*3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 1. Let w(t) = t + 1. Let r be (-4)\/16*4 + 16. Let c be r\/40 - (-135)\/(-40). What is c*x(v) - 5*w(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/125, -60, -4\/25.\nAnswer: -60, -4\/25, 2\/125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 18 + 0 + -30 + 30. Suppose 5*p + 12 = y*p. Sort 5, 7, p in increasing order.\nAnswer: p, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = 22. Suppose -u = -4*c, -6*v - 3*c = -v - 681. Calculate the highest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 93*z - 1 + 3*z**2 + 0*z**2 - 92*z. Let y be x(1). Solve 4*r = -0*o + o - y, 2*o - 4*r - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 - 134*r - 4252. Let k(m) = 20*m**2 + 401*m + 12730. Let v(h) = -6*k(h) - 17*x(h). Factor v(c).\nAnswer: -(c + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-21)\/(-9) - 1). Suppose -4*j - s = -72 - 35, 2*j = g*s + 40. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m - 77 = -123 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, p: 2}. What is prob of sequence oop?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 29, 37, -356, 1, -38 in decreasing order.\nAnswer: 37, 29, 1, -2, -38, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*t - 5*t**4 + 30*t)*(-1923*t - 212 + 89 + 123).\nAnswer: 9615*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8415 - 1010 = 5*l, 0 = 5*l + 2*q - 7385. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521344 is divided by 520290?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 19*o + 2. Give v(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581 - (-1 + 2\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3.4, -3\/8, -1\/4, -4.\nAnswer: -4, -3.4, -3\/8, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 54 = 3*y - h, 5*h - 61 = -y. Suppose 2*s - 4 = -2*a + 40, -2*a + 2*s = -y. Suppose -5*p - a = 2*v, 0 = p + 4*p. Is -9 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55645210 equal to -55645209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(17\/3). Let g = -59 + 58. Is q less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 take away 9?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*p - 4*p = -4, -23 = -f - 4*p. Suppose f*u - 13 = 5*a, -5*a - u = u + 8. What is the units digit of (-3)\/(0 - 3) - a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpppppppqqpqppqppqq. What is prob of picking 4 p?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.74 - -0.740094. Round f to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 587429237011 and 17.1.\nAnswer: 587429237028.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 - -4.74. Let t = 17.6 - l. Let y = -13 + t. What is the fourth biggest value in 1\/4, 2, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 5*z + 7*z - 2*z - 5*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001512164 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/76245 and 28.\nAnswer: 76245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/11 - (-4)\/(-132)*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x + 71*x = -21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 15*i**2 + 26*i + 3. Let g be u(13). Suppose k - 20 = -3*k, g*y = -5*k + 55. What is the remainder when 147 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 - l**4\/3 + l**3\/2 - 5*l**2\/2 + 6*l. Let i be r(4). Solve -2*w + i*w = 3*f + 11, 8 = -3*f + 2*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147a + -8?\nAnswer: -1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87057 and 11619549.\nAnswer: 197532333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50491, 50479, 50471, 50467, 50467?\nAnswer: 50471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -597 - -611. Let y(g) = -7*g - 8. What is the least common multiple of y(-6) and i?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48287167 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143473889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917 (base 14) to base 5.\nAnswer: 24120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21485000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6497107.\nAnswer: 19, 341953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1a763 (base 11) to base 14\nAnswer: a73d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10901 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130311032 (base 4) to base 12.\nAnswer: 58412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2025476 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 - (-2)\/9. Suppose 3*q = -15, m*k + 5*q = -2*k - 9. Suppose -k = -3*s + 1. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 4*x + 3*x**2)*(-15*x + 106 - 106)*(-x + 0*x + 2*x) in the form l*x**2 + s*x**3 + d*x**4 + g*x + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*w + 1638 = 416 - 970 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2294 = 243*x - 593 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + s = -42, 19 + 1 = 3*i + 2*s. Let j(h) = h - 3. Let t(f) = -2*f + 6. Let z(x) = 5*j(x) + 2*t(x). Let y be z(i). Solve -m = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -30, -50, -72?\n\"Answer: -g**2 - 15*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 774847 - -4?\nAnswer: 774852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3803 times 5?\nAnswer: -19015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-612)*12 + (260\/12 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86002 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: Solve -303 - 2212 = 25*o - 125*o + 3685 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 2. Let b be o(-1). Let v be 20\/3 + (-2)\/b. Let i be v\/(-9)*30\/(-4). Solve 0 = -i*c - 2 - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2751 and 34094977.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174121983 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -2*k - 108. What is the first derivative of -20 + 5*r**2 - k + 4 - 4*r**2 wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11011?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 3*y + 7747. Let g(n) = -234*n - 37. Let h be g(-16). Let x = y + h. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/(-10))\/(2\/4 + 0). Solve -d = -5*t - 30, -2*t = q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(2\/81) assuming c is positive.\nAnswer: c**(4\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -196. Let x be 22\/w - 264\/(-45). Solve 20 = x*k - k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j - 19*j - 10*j. Let s(l) be the second derivative of -l**4\/4 - 46*l - 6. Calculate d(s(a)).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5686*l + 5686*l - 19939*l**2 + (2*l**2 + l**2 - 5*l**2)*(-1 + 5 - 5) + 2*l**2 - 4*l**2 + l**2 to the form q*l**2 + w*l + f and give q.\nAnswer: -19938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 899 - 149 = -75*q. Does q = -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8483?\nAnswer: 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g - 1. Let s(w) = 7*w**2. What is t(s(h))?\nAnswer: 91*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9.3 * -0.1\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/16 of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 15*f - 41. Let y be z(-11). Let c(v) = -v**3 + 2*v**2 - v + 7. Let t be c(y). Put 12, 0, t, -0.1 in decreasing order.\nAnswer: 12, 0, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 3. Let s(i) = 31. Let q(t) = -19. Let g(a) = 1242. Let c(b) = 6*g(b) + 391*q(b). Let v(r) = 4*c(r) - 3*s(r). Determine 2*d(j) + 5*v(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(77) + sqrt(77)*-1) + (sqrt(77) - -2*sqrt(77)*-2))\/(-4*2*sqrt(11)*2).\nAnswer: 3*sqrt(7)\/16 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/120 + h**5\/12 + h**4\/8 + 5*h**3\/6 - 4*h**2. List the prime factors of d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + -5 + sqrt(45))**2 + -5 + 5*(4 + -1*sqrt(245))).\nAnswer: -213*sqrt(5) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j + 7*j - p, 0 = j + p. Let s = -9 - -15. Let o be (-12)\/9*(27\/s)\/j. Solve 0 = 5*r + 5*n - 0 + 10, 0 = -o*r + 3*n + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 21. Is (d\/((-15)\/(-127)))\/((-2)\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r + 1. Let u(a) = -a**3 + a**2 + 3*a + 4. Let i be u(3). Let t be n(i). Let h = t + -8. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2587929 and 3435?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 13. Suppose 4*h = -3 - t. Let n(z) = 6*z**3 - 7*z**3 - z - 2 + 19*z**3 - 17*z**3. What is n(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4 + i**4 - 15*i**3 - 9*i**2 + 51*i + 9*i**3 - 51*i = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*y - 4. Let v(h) = -h**3 + 5*h**2 - 4*h + 5. Let t be v(y). What is the third derivative of 21*i**2 - 14*i**2 + 7*i**3 + t*i**2 + 13*i**2 wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*x = 4, 5*i + 2*x + 4 = -x. Is (-2402)\/i + 0\/11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12*l + 28 = 0. Suppose -14 = l*o - 5*o. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7773.3694 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Let o(m) = 5*m + 2. Let c(j) = -j. Determine k*c(u) + o(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.01404 months to decades.\nAnswer: 0.250117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*-1*(-3)\/(-68). Let x = 7\/153 + g. Factor -8\/9 - 8\/9*y - x*y**2.\nAnswer: -2*(y + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 1 c when three letters picked without replacement from xxccppcexcxccqcx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(m**2 - 3*m**4 + m**4 - 3*m**4).\nAnswer: 5*m**4 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Suppose 2*a = -a + 4*x + 130, -2*a + 110 = q*x. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 37. Let m(z) be the second derivative of 0*z**2 + 2*z + 0 + 1\/24*z**3 + 1\/48*z**s. Factor m(g).\nAnswer: g*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 4 + -23 + 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2720, -8532, -18218, -31778, -49212?\n\"Answer: -1937*u**2 - u - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 - 12\/5. Let o be 3*(t + 1) - -3. Suppose o*s + 138 = 3*s. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 9*f**2 - 30*f - 15. Let j be d(-8). Suppose 167*y = j*y + 8250. Calculate the highest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968*b - 95*b**2 + 92*b**2 - 157*b.\nAnswer: -3*b**2 + 811*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 1047, 3539, 8401, 16425, 28403, 45127, 67389?\nAnswer: 95981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27971428749 + 5?\nAnswer: -27971428744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - v - 11 - 25 = 0, 4*v = 2*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 19 (c) 0.3 (d) -48\/5 (e) -10\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 - 400*j\/11 + 398\/11.\nAnswer: 2*(j - 199)*(j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -223\/5. Let 8\/5*d - z*d**2 - 8\/5 = 0. Calculate d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1725862, 3451686, 5177520, 6903364, 8629218?\nAnswer: 10355082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*1\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12898.9996 + -12905. Let s = x - -6. What is s rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -564733*r**5*u + 5*r**3*u**3 + 13*r**2 - 131*u**3 - 2321*u**2 wrt r?\nAnswer: -33883980*r**2*u + 30*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(57)\/sqrt(3))**2 + 5 + ((-3 + sqrt(76))**2 - (sqrt(19)*-3*1)**2).\nAnswer: -66 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 17. Let q(x) = x**3 + 3*x**2 - x - 4. Let u be q(t). Let l(a) = -a + 9. Let s be l(4). Sort -2, s, u.\nAnswer: -2, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 + 163.4. What is the nearest to 3 in 0.3, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/3 + p. Calculate the lowest common multiple of 2 and c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -353*k + 211*k + 1415 + 210*k wrt k?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6149\nAnswer: -4\/6149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 + -165. Let z(g) = 2*g**2 - 2*g + 4. Give z(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -109c1b + -52?\nAnswer: -109c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*o - 198 = -2*o, q - 66 = 4*o. Suppose -777 = -4*h + 331. Let v = h - q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32844 + 67645. What are the prime factors of a?\nAnswer: 13, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1 (c) 545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + m + 457, -n - m + 23 + 60 = 0. Calculate the remainder when 1033 is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 0*n - n)*(2*n - 5*n + 5*n) - 3*n**2 + 0 + 0 - 2*n**2 + n**2 + 5*n**2 + (1 + 1 - 4)*(11*n**2 - 20*n**2 - 39*n**2) as w*n**2 + k*n + o and give w.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 20, 15, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.54 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 25 - (37 - (-80 + 117)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6106 divided by -3053.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1051452655?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5 - 1*(-14)\/70\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.3 - -6. Let m be (-2)\/3 + (-42)\/(-9) + -2. Suppose 8 = -2*o + 2*y, -m*o - 2*y - 27 = 3*o. What is the third smallest value in -0.4, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6420*q**2 + 4*q + 16. Let r be w(-9). Round r to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282 + -246. Suppose m = -17*m + v. Solve 0 = -3*r + 3*a + 21, m*a = -r - 0*r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, 2\/5, 3\/5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -44\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -918, -1831, -2744, -3657?\n\"Answer: -913*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-330*f - 81 - 77*f + 78)*(2 - 3 + 2 - 6*f**2)*(f - 2*f - 2*f) as n*f**2 + w*f**4 + i*f + k + y*f**3 and give w.\nAnswer: -7326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f**10)\/f))\/f**(2\/7) assuming f is positive.\nAnswer: f**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let p(d) = -11*d + 1. Give p(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 50, 31, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 2. Find the second derivative of -14*x**2 + 21*x**l + 2*x + 8*x + 19*x**2 wrt x.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -1 + (-25 - (18 + -44))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 11. Let p be 1\/2*(-520)\/20. Let x be b(p). Solve -3*u + 3*m + 12 = -x*u, 2*u - m + 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007036806 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 2*w**2 + 2*w. Let q(d) = -d**3 + 5*d**2 + 6*d + 2. Let a be q(6). Suppose 0*r = -a*r - 10. Let g = 3 + r. Calculate l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 13*d**2 - 13*d + 3. Let n be u(12). Let y = 11 + n. Suppose y*i = 5*i - 27. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*c = -29, -2*f - 2 = -5*c + 15. Let x(y) be the second derivative of -y**3\/6 + 7*y**2\/2 - 11*y. Determine x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35c16 (base 15) to base 10\nAnswer: 171471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - s**2 - 4)*(-s + 4*s + 0*s)*(8*s - 3*s - 2*s) in the form j*s**4 + i + d*s + g*s**2 + u*s**3 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -88, 26, 5, -2, -14, 0 in decreasing order.\nAnswer: 26, 5, 3, 0, -2, -14, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 82 - 14 = 0. Let q = p - -29. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*z**3 - 20808\/5 + 186\/5*z**2 + 2244\/5*z = 0 for z.\nAnswer: -34, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d + 1. Let j(y) = -8*y**2 - 2*y + 1. Calculate 4*f(t) + j(t).\nAnswer: -4*t**2 + 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 558177979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/6179 at most -29\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 336?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 180. Let k = z + 60. Let i = 0.13 + -0.13. Which is the second biggest value? (a) k (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -879*z**2. Let o(d) = -220*d - 6. Let v(a) = 697*a + 19. Let y(u) = 19*o(u) + 6*v(u). Give y(n(t)).\nAnswer: -1758*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d + 38. Let g(c) = 32*c - 121*c - 2*c**2 + 0 + 73*c + 5. Let n be g(-8). Solve -n*k - 5 = -z + d, -3*z = 5*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8158349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63583\/1626 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 2773, 9981, 24389, 48487, 84765, 135713, 203821?\nAnswer: 291579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*a = -106*a - 13. Let l be 0 + -1 - 24\/(-28). Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 137564, 275121, 412678?\n\"Answer: 137557*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-53410)\/(-4251))*14\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/69, 3\/19, 3, 1?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u + 3*y - 48 = 0, -5*u - y - 272 = 0. Let n be 6\/3*(-3)\/u. Suppose 3*a + 3*f - 12 = f, -f + 4 = a. What is the biggest value in 5, n, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + 0*b - 2*b + (-3 + 3 + 2)*(1 - 1 - b) + b - 3*b + b - b - 4*b + 3*b)*(0 + 0 - 2*b) in the form h*b**2 + k*b + q and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 9*w + 9. Let u be r(9). Suppose 401 = 5*f + 2*n, -2*f - 2*n - 2*n = -154. What is the greatest common factor of f and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/2*(-2 + 4). Suppose i - 6 = m + k, 3*i - 21 = m. Let h = m - -19. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63338564 a multiple of 2944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-2 + 3))\/(-2). Suppose -2*f = -32 - v. What are the prime factors of f\/(-6)*36\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2001400 to the nearest 10000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = -3*s + 9, s + 27 = 4*q. What is the common denominator of ((-570)\/27)\/((-8)\/q) and 4 + -6 - (-118)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 14*g - 24. Let p(b) = -15*b + 23. Let q(t) = 5*n(t) + 6*p(t). What is the derivative of q(j) wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5)\/o**(-3))**38*(o**(4\/3)*o*o**(1\/6))\/(o*o**1*o*o)**(-3) assuming o is positive.\nAnswer: o**(1589\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 4705712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -339b (base 16) in base 7?\nAnswer: -53342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:50 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11501\/369675)\/(14\/(-12))\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/60 (b) -2\/5 (c) 104 (d) 22 (e) 40 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.353 - 0.202. Let n = 0.849 + z. Which is the closest to n? (a) -3 (b) 3\/5 (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*(-60)\/8. Sort -1, b, -4\/5 in decreasing order.\nAnswer: b, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0*k**3 + 0*k**2 + 23 + 1\/12*k**4 - 3*k. Let p(u) = 209*u**2 + 2*u. What is c(p(x))?\nAnswer: 43681*x**4 + 836*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101, -109, -131, -173, -241, -341?\n\"Answer: -i**3 - i**2 + 2*i - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 8*p**2 + 10*p + 14. Let w be n(6). Suppose 171 = w*u - k, 0 = 5*u - 6*k + k - 425. Calculate the remainder when u is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 5. Let f(m) = 9*m + 9. Calculate 5*f(d) + 9*h(d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3218, 8, 4 in increasing order.\nAnswer: 2, 4, 8, 3218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24789 is divided by 8261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 times 0.49?\nAnswer: -139.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*h - 712 = -4*v, 2*h - 3*h + 18 = 8*h - 12*h - 3*v for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000893 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65.83 and 0.4.\nAnswer: -26.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1368*h**3 + 6*h**2 - 5*h. Is t(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18246 + -7346. Round z to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.7? (a) -8\/3 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m**3 + 3)*(-48*m + 48*m - m**2).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3) - (1 - 6)*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = -21 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/3 of a century in months?\nAnswer: 31600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-three eighths of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/12 and 191\/262548?\nAnswer: 262548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237566, 475132, 712698, 950264?\nAnswer: 1187830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/12 + 0 - 2 and -107\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1068374728 - -0.08\nAnswer: 1068374728.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/30 + s**4\/24 - 29*s**3\/6 - 1509*s**2 - s. What is f(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -14, -4.\nAnswer: -14, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 2 + (-16 - -19 - 21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let u = 2 - b. What is the third derivative of -3*w**u + w**6 + 2*w**6 + 0*w**2 - 5*w**6 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12752585*l**2 + 94 - 94.\nAnswer: 12752585*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 402*y**2 - 15*y - 99. Let s(q) = -58*q**2 + 2*q + 14. Give 4*k(f) + 30*s(f).\nAnswer: -132*f**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x - 85*x - 40*x - 14*x + 230*x - 78*x.\nAnswer: -71*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50396057.\nAnswer: 53, 950869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/9632 and -61\/7224.\nAnswer: 28896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*u + 690, -k + 339 = -4*u - 0*u. Suppose 0 = -2*b + 4*g + 494, -b + 5*g + k = 84. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*b - 436*b - 147 + 464.\nAnswer: -7*b + 317","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 3*f)*(-5*f + 2 - 2).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 + -0.34. What is the second smallest value in q, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 262*u + 426 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q - 3*q)*(3 - 2*q - 3) + 12*q**2 - 2*q**2 + 22*q**2.\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - -1)*94\/2585)\/((-4)\/10). Let x be 1 + 1 + (-2)\/4. Which is the second smallest value? (a) f (b) 19 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2. Let w(f) be the first derivative of -9 - 18 - 15 + 2*f**2 + 6. Determine w(y(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 + 7*l - 7. List the prime factors of v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 15 + -26 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 386*b**2. Let u(a) = 18*a**2. Calculate v(u(d)).\nAnswer: 125064*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*a + (0 + 0 + 2)*(-5*a + a + 2*a) + (-360*a + 180*a + 45 + 181*a)*(6 - 1 - 3) in the form r + l*a and give r.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 + 47*n**2 - 175*n + 12. Let z be y(10). Put -2, z, -17, 0 in decreasing order.\nAnswer: 0, -2, -17, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11517*j**2 - 89 - 90 - 71 + 250 as a*j + i*j**2 + n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 10*x + 3. Let f be s(5). Solve 8*r = f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p - 3*p - 4*p + (2 - 3 + 2)*(-149*p + 191*p + 211*p + 270*p) in the form v + x*p and give x.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + c + 2. What is the remainder when 34\/10 - 6\/15 is divided by b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 - 72*g - 9. Determine t(10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/7)\/r*(r\/(r\/r**15))\/r*(r**(4\/7)*r)\/(r*r*r**(3\/14)) assuming r is positive.\nAnswer: r**(179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 - 2*p**4 - 2*p**4)*(-56 + 286 + 143) + 3*p**4 - 6*p**4 - 2*p**4.\nAnswer: -378*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b**5\/7 + 255*b**4\/7 + 104*b**3\/7 - 829*b**2\/7 + 486*b\/7 + 16\/7 = 0. Calculate b.\nAnswer: -2, -1\/32, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) -660 (c) -1023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 z when three letters picked without replacement from zzozzgzozozozzzoo.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Let v(g) = 2 + 9*g - 4 + 4 + g**2 - a*g. What is the units digit of v(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16024\/12)\/((-42)\/(-9)). Let u = 286 - h. Put 2\/7, u, -2, 1 in ascending order.\nAnswer: -2, u, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1\/5, -5, -2\/7, -14, -1663\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32080300 and 21?\nAnswer: 32080279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2123, -370, -5 in decreasing order.\nAnswer: -5, -370, -2123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*f - 3*k + 5*k, -2*f - 2*k + 6 = 0. Solve -f = -0*n - 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6000099662?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 817 = 899. Let u = w - -651. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2982147.46 to the nearest ten thousand.\nAnswer: -2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3207137 - 1900.\nAnswer: -3209037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-2 - -6)\/(-2) - -4. Suppose -318*a + 322*a - 17060 = r. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 488 = 3*g, 4*g - 1213 = w + 4*w. Let n = w + 504. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -0*f - 56*f. Which is the fourth smallest value? (a) f (b) -1\/4 (c) -0.09 (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -36715 (b) 0 (c) -0.22 (d) 6 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2*z + 11)*(3*z + 17 + 19*z**2 + 28 - 6).\nAnswer: -38*z**3 - 6*z**2 - 78*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 7. Let d(c) = c + 10. Let n(u) = -2*d(u) + 3*j(u). Let h(a) = 14*a + 7. Calculate -h(g) + 7*n(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**5*c)*c)\/(c*c**(3\/8)) assuming c is positive.\nAnswer: c**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eegeeegeeeeeeeeg. What is prob of picking 2 g?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 12*w + 17*w + 15, 2*w = -5*g - 6. Let n(s) = s + 4. Let d be n(0). Which is the nearest to 0.7? (a) g (b) d (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w + w - k, 0 = 4*w - k + 26. Let h be 2\/w + (-116)\/(-6). Let n = h - 13. Solve -12 = -0*q + q + 5*d, -d - n = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u. Let s(v) = -7*v + 23. Let z be s(0). Let f(x) = 12*x - 8*x + z*x. Give k(f(q)).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*568\/(-28704) + ((-9)\/54)\/((-13)\/(-4)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.1, -1232.1, 166?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Suppose h*u - 3*u = 0. What is the closest to 1 in 0.5, u, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465599 is divided by 213?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*(1150\/(-69))\/10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18 = 2. Suppose g - 2 = 0, 3*f = 7*g - 6*g + u. List the prime factors of 0\/(2\/f*3) + 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q + 1. Let p(x) = 3*x**2 + 3*x + 2. Suppose -12 = -3*z, -z - 2 = 2*w + w. Let t be -2 + w*(-3)\/6. Determine t*p(r) + 4*d(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 3*g**4\/4 + 5*g**3\/6 - 61*g - 129. Let q(a) be the first derivative of v(a). Let h(c) = 3*c. What is q(h(l))?\nAnswer: 81*l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -1 (b) 2.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:21 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**2 + 6 + 3*k**2 + 2 - 2*k - 7. Suppose 3*l = 6*l + 6. Is s(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -132?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -14*v**3 - v**2 + v + 1. Let u be ((-18)\/(-12))\/(3\/(-4)). Let i(a) = -4*a**3 - 3*a**2 - 2*a. Calculate the remainder when i(u) is divided by r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -8. Suppose s - 3*b = 4*s - x, -2*s - 5*b = -1. Let d(z) = -z - 3. Let l(c) = -2*c - 5. Let u(h) = -7*d(h) + 4*l(h). Determine u(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) -0.5 (c) 0.6 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 5*m - 2. Let i be v(3). Suppose 3*h + 10 = z, 2*h = -3*z - i + 34. Suppose 5*f = z*f - 60. Solve 3*b - f = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-2 + 3 - -7). Let k be 2\/3*v*(-30)\/(-45). Solve -3*f + k - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4398052 millilitres?\nAnswer: 0.0004398052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4 - 632*m**3*t**2 - 2*m**3*t + 7*m**2 - 7*t**2 - 8 wrt m.\nAnswer: 24*m - 3792*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*y + 30, -5*s + 2*y = 6*y + 20. Let t be -1 + s\/(-6) + 1. Let b = 0.4 + 0.1. Sort b, 0.1, t in decreasing order.\nAnswer: t, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 779 (base 12) to base 3\nAnswer: 1111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + sqrt(180)*2 + 1)**2)*2*1*-3.\nAnswer: 180*sqrt(5) + 9726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/766 and -101\/154.\nAnswer: 58982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -884.049.\nAnswer: -3536.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2289)\/2955 - 280\/(-350). Is d != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by -2.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51448897537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:38 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1940)\/8*800\/2. What is r rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 18*j - 1. What is the remainder when 158 is divided by h(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052.6 bigger than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 16) to base 13.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*(11 + (-2242)\/228).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33138585 - 13538580. Suppose -i - l = -m, -5*l + 39200025 = -4*i + 6*i. What is i rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/5 + 303006*l**3\/5 - 7648628571*l**2\/5 - 122436240432*l\/5 - 489822543552\/5.\nAnswer: -3*(l - 50509)**2*(l + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22118456 greater than or equal to 22118450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789 = 2334*v + 3491 + 2722 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256876*x - 256900*x - 54 + 54.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869473217?\nAnswer: 3, 623157739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.98 - -0.02. Let q = 222\/5 + -44. Which is the second smallest value? (a) t (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*z = 1951*z + 504*z + 194532 for z.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - z**2 + 47.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 17*h**2 + 15*h + 22. Let k be p(16). Suppose 5*r + 6 - 21 = 2*q, -4*r = -2*q - 10. Solve x = -2*x - 4*j - r, -x + 3*j - k = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-120)\/(-90)*69*21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/20 + 2*v**4\/3 + 7*v**3\/6 + 3*v**2\/2 + 3*v. Let o be u(-6). Suppose -2 = 5*x + o. Is -6 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7105263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*r - 5*w, -4*r - 4*w - 11 = 17. List the prime factors of (-1 - r) + (3 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (3 + -2) - (-46 + 22 - -22).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1980, -1977, -1972, -1965, -1956, -1945, -1932?\n\"Answer: m**2 - 1981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a second in milliseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5008?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2821913 + -0.2727\nAnswer: -2821913.2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 7:53 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 16) in base 4?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*s - 6)*(2 + 1 + 3)*(-3 - 4 + 5).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6531?\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/256 and -137\/1152.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 287636887 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crywh. What is prob of sequence whr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o + 109*o + 3047 + 17239 = 0 for o.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35956220 to the power of 1\/2, to the nearest integer?\nAnswer: 5996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281\/2 - -19337\/138. Calculate the common denominator of 62\/33 and f.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 30, 74, 136?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94381285 is divided by 134255.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -46. Let z = d - -93. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:05 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244 + -199. Solve 0 = -4*k + 25 - v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 94454424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8863?\nAnswer: 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let m(y) = y**2 + 72472697*y + 2. What is m(l(g))?\nAnswer: 4*g**2 + 144945394*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136114 (base 7) to base 5.\nAnswer: -1314003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 619*z**2 + 822*z - 491. Determine s(205).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*b - 6 = 2*b, -4*v - 4 = 2*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s\/(s\/(s\/(s\/(((s**(-7)*s)\/s*s)\/s)))))))**(3\/2) assuming s is positive.\nAnswer: s**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -585 (base 16) to base 13\nAnswer: -849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.01, 1\/4, 1\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 47 = -12. Suppose 0 = t + 4*t - h - 11, -5*t + o = -2*h. Which is smaller: t or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -321141?\nAnswer: -321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37508011 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -b658981?\nAnswer: -b658965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h + 44. Let a be j(-5). Suppose 0 = 2*z + 5*o + 5, -3*o = 4 - 1. Let r = a - z. Is r bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 3\/2 (c) 0 (d) -0.284 (e) -14 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158829 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04095 rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from wbww?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4\/2 - 30*b**3 - 135*b**2\/2 - 35*b.\nAnswer: 5*b*(b - 14)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13864970879948+0.012\nAnswer: 13864970879948.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11288 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 519 (b) -1 (c) 0.266 (d) -72\/7 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68893.\nAnswer: 11, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 8. Let h be q(-4). Let o = -2 - -3. Let j be 2\/(1 - (-15)\/(-9)). Sort o, h, j in ascending order.\nAnswer: j, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*m - 4*o - 1, 1 = -3*m + 2*o. Solve m*d - 5*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 632 - -255?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/170*((-270)\/63)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 13 = -14. Let a = f + 3. Suppose 110 = y - a*h - 2, -4*y = 4*h - 488. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73570 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 5. Let x be l(9). Let q be 8\/12 + x\/(-6). What is the greatest common factor of 12 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -27?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*p + 16*p + 53940 - 55678 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6098*z + 2535 - 3859 + 4155*z wrt z?\nAnswer: 10253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148714*w*x**6 + 251*w*x**4 - 9*w*x**2 + 21*w + x**2 - 1692*x - 3 wrt x?\nAnswer: -17845680*w*x**3 + 6024*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x**3 + 4*x**2 - 12*x + 19. Let s be l(3). Suppose 4*n + 4*t - 87 = s, -3*n + 4*t + 261 = 0. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.72 - -14. Let q = -0.08 + i. Let s = -74 + 70. Which is the nearest to -0.1? (a) s (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055017 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 2*g**2 - 3*g + 2. Suppose -2*t = x + 1, -5*t = -5*x - 21 + 1. Let n be i(x). Let k = n + -29. Let f(m) = m + 8. Determine f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4075 - 2476. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 638812 divided by -2\nAnswer: -319406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679306 is divided by 10614.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -841287*l - 935233 with respect to l.\nAnswer: -841287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*q - 29. Let a be (-30)\/q - 22\/(-4). Suppose 0 = -0*v - a*v + 48. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61089.\nAnswer: 3, 7, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*g - 73 + 113 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -0.7019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 25. Let j(u) = u**3 - 1. Let z be j(0). Let h = 5 + z. What is the closest to 0.1 in c, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)\/sqrt(5)*5 + 5 + (sqrt(17) - (sqrt(17) + 2)*-1))**2.\nAnswer: 168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53592 and 184184?\nAnswer: 16024008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7700942 to the power of 1\/2, to the nearest integer?\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11*-2084.5\nAnswer: -22929.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 1\/4*m**4 - 5*m - 8 + 17\/2*m**2 - 4*m**3. Is y(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691415352 to the power of 1\/2, to the nearest integer?\nAnswer: 26295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -276 + 490. Let x = 219 - v. Solve -x*o + q = -14, 5*q - 15 = -o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 3*s**2 - s + 1. Let p(q) = q**3 - 6*q**2 - 7*q - 4. Let y be p(7). Let d = -1 - y. Suppose -3*t = -d*k, t + 15 = 3*t + 3*k. Determine a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + (sqrt(7)*-3 + 3 - sqrt(7)) - sqrt(42)\/(sqrt(12)\/sqrt(2))).\nAnswer: -6 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858955 is divided by 227.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/766371 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40157 (base 10) to base 16\nAnswer: -9cdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1247, 1845, 2443, 3041, 3639, 4237?\nAnswer: 4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 955786, 955466, 954594, 952894, 950090, 945906, 940066, 932294?\nAnswer: 922314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3\/5 + 39*o**2\/5 - 24*o + 108\/5 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*v**3 - 1493*k*v - 20070*v**5 - 9*v**2 wrt v.\nAnswer: -12*k - 1204200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(114 - 233 + 5*z**2 + 114).\nAnswer: -5*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12335465 (base 7) to base 8.\nAnswer: 4210327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9))**(-31)*v**(-10)\/v*v*v**6)**(-32) assuming v is positive.\nAnswer: v**(3136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82417176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 639318917.233712 + -0.3.\nAnswer: 639318916.933712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - q - 7 = 0, -3*i + 4*q - 6 = 11. Let a be i\/15 - 26\/(-5). Let c = 73 + a. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**2\/2 + 14*d + 584. What is l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0 - 30\/7*o**2 - 48\/7*o**3 - 22\/7*o**4 - 4\/7*o = 0.\nAnswer: -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570 a factor of 20716150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -46132?\nAnswer: -46130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.03, 14, -9, -19, 2\/7 in descending order.\nAnswer: 14, 2\/7, 0.03, -0.4, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -65, 2086, 3, -36.\nAnswer: -65, -36, 3, 4, 2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**8*w)**(-11) assuming w is positive.\nAnswer: w**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 8*m - 2. Let b be v(5). Let l be ((-3)\/2)\/1*-2. Let n = l - b. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2445364?\nAnswer: 2, 89, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r**3 - 10*r**2 + 40*r + 3. What are the prime factors of y(8)?\nAnswer: 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 28*m + 31. Let c be j(-19). Is c at least -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(48) + sqrt(1728) + 1))**2 + 4 + ((sqrt(48) - sqrt(432)\/sqrt(441))**2 - sqrt(96)\/(sqrt(10)\/sqrt(5))).\nAnswer: 2012*sqrt(3) + 4152616\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) - 232\/(-20). Let m be 2 - (1 - p\/3). Suppose -m*r = w - 8, -1 = 3*r - 4*w + 8. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13707.2 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-1)\/(-8)*106. Let x = b - 28. Suppose -x + 110 = 5*j. Solve -4*i = -5*a + 8, i - 2*i + 5*a - j = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1300) + -2 + sqrt(1300))**2.\nAnswer: -80*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112204078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-20))\/(2\/8))\/(87\/1479)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o**2 + 1)*(-2 + 1 + 6)*(5*o - 2*o - 4*o).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -h - 5*b, 670 - 669 = 3*h + 4*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 163\/36 + 4\/16.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 2, u: 3}. Give prob of sequence nc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 14*i**2 - 68*i + 2. Let b(u) = 3*u**3 + 27*u**2 - 138*u + 5. Let f(l) = -4*b(l) + 10*c(l). Let f(v) = 0. Calculate v.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 298138 or 298187?\nAnswer: 298138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.9 <= -9.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000665343 rounded to 7 decimal places?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93750 - 2\/3*x**2 - 500*x.\nAnswer: -2*(x + 375)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + r + 44 = 3, 2*r = -2. Suppose 0 = 19*z - 23*z + t. Suppose d + 3*m = 79, -305 = -5*d + m + z*m. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/42)\/(15\/21). Let u be ((-45)\/837)\/((-2)\/12). Let l = u - 212\/465. Sort -2\/13, l, t.\nAnswer: t, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 34*i**2\/7 - 88*i\/7 + 8.\nAnswer: -2*(i - 14)*(i - 2)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**2. Suppose n + 5 = -2*g + 18, 2*n + g - 14 = 0. Suppose -m + 3 = -6*h + 15, 0 = -5*m + 5*h + 15. Let i(x) = -5*x**2. Determine m*y(b) + n*i(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d5f + 0?\nAnswer: 9d5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79378085.\nAnswer: 5, 311, 51047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*v + 11 = -3, 0 = s - v - 3. Suppose -s*g + 404 = -1661. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 818, -537, 3 in increasing order.\nAnswer: -537, -7, -5, 3, 818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-6 - -6 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36285 divided by -4?\nAnswer: 36285\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*j + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/4, -3\/5, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*220\/275.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 221778 + 85411. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8754.5557 to zero dps.\nAnswer: 8755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-c**4 + 4*c**4 - c**4) + 4*c**4 - 7*c**4 + 4*c**4 - 4*c**3 + 4*c**3 - c**4 + (c**3 + 0*c**3 + c**3)*(4*c - 2*c - c) - 159 + 159 - 11*c**4.\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118.1 + -118. What is the fourth smallest value in 4, w, -5\/8, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 2*i**2 + 3*i - 11 + i**4 - 2*i**4 - 9 + 2*i**2 to the form z*i**3 + x*i + n + y*i**2 + s*i**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 5*c + 105, -7*v + 5*c + 989 = 1154 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 7*j**2 + 6*j - 9. What is r(-9)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 587 + -382. Suppose -207*k + v*k = -12. Let o be 9\/k*-4*(-1)\/6. Which is bigger: o or 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p + 330*p - 112*p - 108*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 0 + 2025805*k**2 + 1 - 57*k - 2025806*k**2 to the form s*k**3 + q + g*k**2 + f*k and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1415 = -2*t. Suppose -4*g - g = -4*o + t, -271 = -4*o + g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (2 + 5 - 3). Let c(j) be the third derivative of -2*j**2 + 0 + 0*j + 1\/60*j**5 + 1\/12*j**4 + 0*j**d. What is the second derivative of c(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 5, -159, 1, -41, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 126?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -5465?\nAnswer: 5460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3920*x - 2109*x + 336*x - 2)*(-2*x + 0*x + 0*x) as v*x**2 + j*x + z and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2872112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*c = 240*c + 2748. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22*(2 - 3\/2). Let j(y) = -3*y + y - x + 2. What is the units digit of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {s: 7, v: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 125, -16 in decreasing order.\nAnswer: 125, 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kii when three letters picked without replacement from {r: 1, i: 2, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by 28.\nAnswer: 107\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87458 + (-13)\/(-3) + (-16)\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001869316 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3719*q + 21471*q + 9982*q + 8890*q.\nAnswer: 36624*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.12796\nAnswer: -0.6398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**2 - 2*g + 9. Let t(r) = 4*r**2 - r + 5. Let w be (-38)\/6 + 60\/45. Let j = 0 - w. Calculate j*t(z) - 3*k(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14884 + -14884.02. What is the nearest to 3\/2 in 16, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*g**3 - 129*f**3*g**2 - 130*f**3*g - 2*f**3 wrt g.\nAnswer: 6*f**3*g - 258*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 3, 16, -10, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -90982 (base 11) to base 9\nAnswer: -222330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -12.6, 0.2, -0.07, -0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 - 11*y**2 + 29*y - 27. Let s(t) = -2*t**3 + 6*t**2 - 15*t + 13. Let a(k) = 3*g(k) + 7*s(k). Is 9 a factor of a(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 36 = -4*j, 4*y + 0*j + 5*j = 85. Suppose 0 = -107*h - 51*h + 316. Solve -y = 7*m - h*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiquaqsiqaihaa. Give prob of picking 1 q and 1 i.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 243.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -129 + 21. Suppose 694 - q = u. Suppose -u = -2*i + 360. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = -4*x. Suppose 5*w - 114 = 4*z, x*w + z = -3*w + 134. Solve u - 14 = -6*c + c, -w = -3*c - 5*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 - 125 = 2*m. Does 58 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c - 14093 = 4537. What is the remainder when 546 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8\/7 (b) 0.1 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461 = -27*m + 214 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 68 = 12*c + 308 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 498088249 to the power of 1\/2, to the nearest integer?\nAnswer: 22318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2215234, 46, 5 in descending order.\nAnswer: 46, 5, -2215234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 5, -534, 34, -49 in ascending order.\nAnswer: -534, -49, -0.6, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 79181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*i = -188*i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*n + 740 = -23 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/10 + (-535)\/(-55)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 4*w**2 + 48*w + 16. Calculate m(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 820 + 1580 + 7*y**2 + 11*y**2 - 783.\nAnswer: 14*y**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38733600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 0.08.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1.5 (c) 11 (d) 2\/11 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -544 - -561.3. Let f = k + -0.18. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**2 + 1015. Let s(d) = -615*d. Give s(l(f)).\nAnswer: 2460*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2344, 9335, 20976, 37267, 58208, 83799, 114040?\n\"Answer: 2325*q**2 + 16*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955684 (base 15) to base 10.\nAnswer: 7105849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g - 13 = 4*v, -v + 1 = 5*g. Suppose -2*h - r + 42 = -3*r, 5*h = -3*r + 65. Calculate the least common multiple of h and 231\/12 - 3\/v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55208 divided by -4.\nAnswer: 13802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 163?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1891223 + 121223 = 0. Round u to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1453124 or -0.129?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = -39. Let q(p) = -n*p**2 - 18 + 0*p**3 + 0*p**3 - 6*p - 4*p**3 + 3*p**3. Does 35 divide q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1492, 1491, 1490, 1489?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 - (0 + 3) - 3. Let u = m + -6. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1049806 or -1049804?\nAnswer: -1049804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:09 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3865264 less than 103278252?\nAnswer: 99412988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*x = -83, x = -w - 3*x - 43. Let d = w - -173. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -21 in decreasing order.\nAnswer: 2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -69*t**3 + 7*t**2 - 7*t + 4. Let j(r) = -35*r**3 + 4*r**2 - 4*r + 2. Suppose -3*h - 36 = 3*l, 140*l = 137*l + 5*h + 4. Give l*j(f) + 4*d(f).\nAnswer: -31*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:04 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3627, -14609, -33059, -59097, -92843, -134417, -183939, -241529?\n\"Answer: -20*k**3 - 3614*k**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -81. Let m be 280002\/2 - (t - (1 + -2)). What is m rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-14)*(n\/(n*(n*n**(-1\/2)*n)\/n))\/n)\/(n\/((n\/(n\/(n\/(n*n*n*n**(-17))*n*n)))\/n)*(n*n*n\/n**(-16\/7)*n)\/n) assuming n is positive.\nAnswer: n**(-81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -11, -57, -123, -209, -315?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 15. Let b be w(5). Suppose 0*m = m - 3*u + b, 5*m - 3*u = -26. Sort m, 0, 3.\nAnswer: m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 14. Solve y*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u. Let j(m) = m**2 - m + 3. Let k be j(u). Suppose 0 = 2*p + 3*p. Put p, k, -2 in increasing order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - j + 3. Suppose -5*i + 25 = 0, -3*a = -2*a + 5*i - 28. List the prime factors of o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 5*n - 3. Let m(k) = -3*k**2 + 11*k + 7. Let s = 4 + -24. Let j be -1*4 - ((-4 - 5) + -12). Let v = s + j. Calculate v*m(h) - 7*u(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 14169c?\nAnswer: -14169a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 3*k - 4. Let i be 152\/40 + (-2)\/(-10). Is 15 a factor of d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51355, -101207, -151063, -200923?\n\"Answer: -2*n**2 - 49846*n - 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7830 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -86*i**2 + 1019*i + 169. What is t(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/1728)\/(21\/(-1008))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-6) - -3 - 61952\/(-33).\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20322 at least -20321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*d - 21 = 0, q + 83*d - 86*d = -14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312) + (sqrt(312) + sqrt(312)*1*6 - sqrt(312)) + sqrt(312) - -6*2*sqrt(312))\/((sqrt(96)*4 - sqrt(96))*1).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-64))\/(2 + (-18)\/8). Put 0.3, -5, -3, i in descending order.\nAnswer: i, 0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7709, -7710, -7711?\n\"Answer: -y - 7708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (-3*sqrt(104)*3 - sqrt(104)))\/(sqrt(88)\/(sqrt(33)\/sqrt(3))).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from {f: 1, p: 2, l: 3, g: 4, y: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1920482.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.08 + -6. What is the closest to 0.1 in y, 0.4, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 154211?\nAnswer: -154153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0.2, 621, -0.3, -8\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and -2463154?\nAnswer: -2709469.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*p**3 - 2*n**2*p**2*q + n**2*q + 43*n**2 - 2*n*p**3 - 37*n*p - 6*p**3*q - p*q + p wrt n?\nAnswer: 4*p**3 - 4*p**2*q + 2*q + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (16 - -196)\/(((-3)\/6)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 4914*g**2 - 58679*g + 8. What is u(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-6) + -2)*18. Suppose 38*j - o = 32*j. Solve -3*n - j = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 16 - -9 - (-6 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -316 times -0.3486\nAnswer: 110.1576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*u**2 - 2)*(-1343*u - 8406*u - 2006*u - 3186*u).\nAnswer: -44823*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let a(p) = 11*p. Let y(u) = u**2 + u - 38. Let x be y(6). Give x*m(d) - a(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -25 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -8.41.\nAnswer: -8.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 209\/448500 and -25\/156.\nAnswer: 448500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p. Let u be -2*(-2)\/4 - -2. Determine v(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2187\/1458*((-25)\/90)\/1\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 733200 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 85. Let y = i - 25. Suppose -10*b = -y*b + 21. What is the remainder when 31 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -308.3 - -325. Let b = -17 + d. Let q = 0 - b. What is the smallest value in 2, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302684 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -1\/60*f**5 + 1\/24*f**4 - 1\/120*f**6 - 1 - 1\/2*f**2 + 1\/6*f**3 + 0*f. Let m(b) be the second derivative of x(b). Factor m(y).\nAnswer: -(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2217, -2181, -2169, -2193, -2265?\nAnswer: -2397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/327125 and -49\/26366275?\nAnswer: 131831375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-5))**(-2\/103))**(-1\/29)*(m*m\/m**(1\/2))**1*((m**(4\/5)\/m)\/m*m*m*m)\/(m*((m*m**(-2))\/m)\/m) assuming m is positive.\nAnswer: m**(158231\/29870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -56*o**2 + 20*o - 36. What is i(2)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2497, 2818, 3139?\n\"Answer: 321*q + 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.84 and -15?\nAnswer: 102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24972, 49953, 74938, 99927, 124920, 149917, 174918?\n\"Answer: 2*o**2 + 24975*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 - 2*p)*(-4 + 0 + 2) - 1 - 3*p + 0 + p + (-1 - 2 + 2)*(p - 6*p + 2*p) + 5*p - 4*p - 3*p as i + n*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -56*d - 87. Let q(z) = -64*z - 88. What is -4*p(t) + 3*q(t)?\nAnswer: 32*t + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2302110 (base 4) to base 7\nAnswer: 45162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 18. Suppose -b*m = 3*v + 19, 5*m + 17 = -v + 4*v. Sort -3, 4, -5, v in descending order.\nAnswer: 4, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68 - (-1 - (4 + (-9 - -2))). Let f be (-262)\/(-3) - (-2)\/3. What is the greatest common divisor of f and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 15*n + 47. Let d be j(3). Suppose d*p = 385 + 1616. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**3\/6 + g**2\/2 + 34*g. Let u(l) = -2*l - 2. Let z(f) = -t(f) - u(f). Give z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**3\/n)\/n*n)\/(n\/(n*(n*n**(-1\/3)*n*n)\/n*n)))**(1\/58)*((n\/(((n**(-3\/4)*n)\/n*n)\/n))\/n**(-1))\/(n**1*n*n*n**(-2\/7)) assuming n is positive.\nAnswer: n**(283\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c. Suppose -4*t - 1 + 5 = 0. Calculate the smallest common multiple of d(-1) and (-5 - -15)*t\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -140b9dd - 3?\nAnswer: -140ba02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 67982037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1435 - a?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l\/(l*(l**(-4)\/l*l)\/l))*l\/(l**(-2\/9)*l)*l**(-1\/5)*(l**(2\/9)*l)\/l*(l**(2\/15)\/((l*l*l**3)\/l))**(7\/2) assuming l is positive.\nAnswer: l**(-823\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/7252 and 5\/7.\nAnswer: 7252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111 - 1011?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9805 - 9807 + 6*b**3 + 29399 - 9787.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + f = 806 + 209, 525 = -2*p - 3*f. Let g be 2*p\/264 - (-8)\/44. Which is the closest to -1? (a) 2 (b) g (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008054728 rounded to four dps?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -299639624*f**3 - 262629102.\nAnswer: -898918872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -16734. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*y + 2, 3*n - 2*y - 10 = -n. Suppose -n*p + 15 = j, -2*p + 17 - 7 = -j. Solve j = -x + 3*x + 3*i - 2, -5*x - 16 = -3*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*c - 5*l, 18 = 5*c - c + 3*l. What is the greatest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21516, -44294, -68332, -93630, -120188, -148006?\n\"Answer: -630*y**2 - 20888*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 2*n + 8*n**3 - n + 3*n**3 - 2*n**3 to g*n**3 + f*n**2 + h + o*n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/153506118 and 69\/4.\nAnswer: 307012236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18821853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 + 243*o**2 - 495*o + 249 = 0 for o.\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239306*d**2 + 1004 - 3*d**3 + 239304*d**2 + 106.\nAnswer: -3*d**3 - 2*d**2 + 1110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 5*f**2 - f + 19. Let b be y(-3). Let p be b + 0 - (7 + 0). What is the third biggest value in p, 0.5, -5, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-4)\/(-10)*5. Let m be (16\/12)\/(4\/6). Suppose -x*o = -m*o. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(80\/60)*-2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183 + 590 = -211*k + 1517 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.65 - 1.499. Let m = f + 0.81. Let k = m - -0.038948. Round k to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from eellkekejk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 129264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 18. Let q be s(0). Differentiate -6*z + z - 19 + q with respect to z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/14)\/(3\/(-14)). Let k = 15 + h. Solve 3*c + 0*c + 3 = -k*b, -5*b + 3*c = -35 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140447589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v. Suppose -4*p + 24 = -4*h, 5*h = -p - v*h. Solve p*q + 10 = 0, 4*q - q = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400137038.\nAnswer: 2, 7, 47, 109, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + 2*u - 5*u - u**3 + 5*u + 9*u**2 to the form j + t*u**4 + r*u**3 + b*u**2 + c*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**6\/10 - 111*a**5\/10 - 213*a**4\/4 - 3875*a. Factor o(x).\nAnswer: -3*x**2*(x + 3)*(x + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1423*s**5 - 94139*s**4 + 369761430*s**2 wrt s?\nAnswer: -85380*s**2 - 2259336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 512 and 8.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16688 - -377621. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuupiiiupui. Give prob of sequence pi.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*s**2 - 41772\/5 + 708\/5*s.\nAnswer: -3*(s - 118)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*f + 312. Let y be 72\/90 + f\/90. Let d = -20 + 20.5. Which is the nearest to 3? (a) d (b) y (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 1. Suppose -3*t + 9 + 0 = 0. Suppose -4*f = -2*l + 14, -t*l + 2*f + 10 + 7 = 0. What is the remainder when g(4) is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/1136*(-504)\/(-63)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.308 and 953.7808.\nAnswer: 955.0888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.11 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/155 - -611\/465. Let m(n) = -n**3 + 14*n**2 - 12*n - 11. Let o be m(13). Factor -a*u - 2\/3*u**o + 0.\nAnswer: -2*u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61772\/75 or -823?\nAnswer: -61772\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1.6019 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 9. Let n = -15 + b. Solve -3*a = 12, 10 = -4*g + n*g - 2*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3)**(-46\/5)\/(o**(-2\/15)\/o*o**(-2\/9)))**(1\/10) assuming o is positive.\nAnswer: o**(-1181\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 254267 * -1.23\nAnswer: -312748.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.037167 hours to nanoseconds.\nAnswer: 32533801200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 200.8841\nAnswer: -40.17682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - b**3 - 7*b**3 + 0*b + 0*b - 2*b**3 + (-3*b + 0*b + b)*(-b**2 + 0*b**2 - b**2) - 8*b**3 + 371*b**2 - 371*b**2 + 1.\nAnswer: -14*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 - ((3 - 4) + -7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -6. Let n be g + (2 - 2) + 7. What is the greatest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15707466 is divided by 1687.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 6*z - 4. Determine h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -257*q**2 + 83*q**2 + 85*q**2 + 91*q**2. Let n(s) = 24*s. Calculate t(n(y)).\nAnswer: 1152*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*12\/(-8). What is the nearest to m in 2, -0.01, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -52542c0?\nAnswer: 52542c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4054*w - 628402. What is v(155)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqqi when four letters picked without replacement from {q: 5, w: 3, i: 5, z: 1, a: 5}.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1644 + -1110. What is the greatest common divisor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -19*y + 186. Let b(z) = z**2 - 8*z - 5. Let l(w) = 1. Let k(p) = b(p) - 3*l(p). Is 3 a factor of k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - 11*d. Suppose 6 - 16 = 5*k. Let p(c) = c**3 - 3*c**2 - 3*c - 2. Let u be p(4). Let x(s) = -s**u + 2*s - s + s. What is k*o(b) - 11*x(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2112 and 325567?\nAnswer: 62508864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -4\/9, -0.1, 0, 24 in descending order.\nAnswer: 24, 0, -0.1, -4\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7065 - 28340 + 7087 - 2*r + 7022 + 7055.\nAnswer: -2*r - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -242 - 240.105.\nAnswer: -482.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 15 - 4)*(0 + 2*b + 0).\nAnswer: -62*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 44, 96, 168, 266?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 7. Suppose q = -5*a + a. Find the second derivative of -2*w**2 - 3*w**2 - 4*w + a*w**2 + 4*w**2 wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8294*c + 200 = 8314*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -67. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 1. Let j(s) = s**2 + 2. Let f(y) = -j(y) + 2*v(y). Let p(m) = 16*m**2 - 17. Let l(z) = 5*f(z) + p(z). Find the first derivative of l(a) wrt a.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 11. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i + 3. Let l be j(6). What is the highest common divisor of 10 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -18, 86, 1, -24 in ascending order.\nAnswer: -24, -18, -3, -2, 1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1457908, -1457907, -1457906, -1457905, -1457904?\nAnswer: -1457903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 48\/5*h**5 + 0*h**2 + 115 + 0*h + 15\/2*h**4 + 4\/3*h**3 + 11\/3*h**6. Factor b(y).\nAnswer: 2*y**2*(y + 1)**2*(11*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/884716 and 49\/34.\nAnswer: 15040172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -q + 43, 0 = 2*h + 3*q + 11. Suppose -42*u + 48*u + 24 = 0. What is the smallest value in h, u, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2*(-80)\/(-160))\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178\/271 - -10223\/16802. Is c at least 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189) - -1*sqrt(189)) + sqrt(189))\/(sqrt(3)*-2*6))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:53 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhiuahkukkhmm. What is prob of picking 2 h and 1 k?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 6) + ((-11325)\/(-1500) - -6)?\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-1\/5)*w*(w*w\/w**(-9))\/w*(w\/w**(1\/6))\/w*w**(-3)\/w assuming w is positive.\nAnswer: w**(241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12726672 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 3*d - 4 - 10)*(-d + 2 - 2).\nAnswer: 2*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:40 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2493 + 2493. What is the closest to 3 in 72, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - -0.22. Let f be (-15)\/(2 - -1) + 0. Sort g, 2, f.\nAnswer: f, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 15 = -5*d - 7*w, 3*d + 4*w + 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127 + 16*z**2 - 127 + (z + 2*z - 7*z)*(149 - 16*z - 149) - 13 + 13 + 9*z**2.\nAnswer: 89*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(3*m**4 + 3*m**4 + 9*m**4).\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 48902.36ug?\nAnswer: 0.00000004890236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143930044.\nAnswer: 2, 23, 1564457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3920\/(-9620) - (-4)\/(-74).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -57 and 45.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5708 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three quarters of a litre?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 1817 + 317*c + 600 + 3*c**2.\nAnswer: 3*c**2 + 317*c + 2473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 2*m**3 + 2*m + 0*m**2 + 0*m**2. Let v be 64\/(-4)*(-2 - 8\/4). Let y = v - 66. Calculate q(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + u = 11, 0 = 9*v - 5*v + 5*u - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.725595 rounded to 3 decimal places?\nAnswer: -1.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -5501912?\nAnswer: -5501912.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117360 and 2610.\nAnswer: 3403440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 30 = -2*u, 4*t - 2 = 2*u + t. Solve -u*a = -7*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - -16 - 48 - -43?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140828.\nAnswer: 2, 17, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-732)\/90 + 7 - 4\/(-30))*-10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21945000 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-8)*4\/3. Let q(h) = -20*h - 115. Let m be q(r). Calculate the highest common factor of 27 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -3622413?\nAnswer: 3622404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 14*s**4\/9 + 842*s**3\/9 - 2482*s**2\/9 + 794*s\/3 - 84 = 0.\nAnswer: -63, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1700)*3 - sqrt(1700))*-3 + sqrt(1700)) - (-4 + (2*(sqrt(1700) + -5))**2).\nAnswer: -6896 + 700*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -320 - -112?\nAnswer: -20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 697 + 2140 = 0. Let l(r) = -t*r - 308 + 308. Let f(g) = g. What is f(l(x))?\nAnswer: -111*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1303 = -7*w + 1408. Sort 35, -5, w.\nAnswer: -5, w, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5132*q - 27208 = 4774*q for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(130)\/(sqrt(10) - sqrt(40)) - (sqrt(468) - (sqrt(468)*-2 + sqrt(468) + -5))**2)*-1.\nAnswer: 121*sqrt(13) + 1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5)*-25*1\/(-3). Let p(z) be the first derivative of 0*z**4 + 0*z**3 + 5 + 0*z + 4*z**2 - 1\/5*z**l. Find the second derivative of p(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -6\/5*m**5 + 0*m**3 + 0*m**2 - 4*m + 7 + 0*m**4. What is the first derivative of y(u) wrt u?\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.4 (c) 7 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9045.843 micrometers?\nAnswer: 9.045843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) + 3*1*sqrt(156) - (sqrt(156) + (sqrt(156) - (sqrt(156) - -1*sqrt(156)*-4)) + sqrt(156))))\/(6*(sqrt(432)*-2*6 - sqrt(432) - sqrt(432))).\nAnswer: 5*sqrt(13)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -700 - -35698\/51. Which is the smallest value? (a) 2 (b) -5 (c) i (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 18*v - 17. Let l be q(19). Suppose 3*n = -l*n + 115. Differentiate -13 + n + 7 - 4*w**4 wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95176 + 15.01?\nAnswer: -95160.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 23*z = -66. Which is the smallest value? (a) -7 (b) 0.1 (c) -3\/2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/11 + 14\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 15. Let v(s) = 3*s - 12. Let a(k) = 4*l(k) - 5*v(k). Let g(i) = 151*i**2. Determine a(g(f)).\nAnswer: 151*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.6 or -1161\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*w + 255*w = -30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7575*t**3 + 1228*t**3 - 8501*t**3 - 6313*t**3.\nAnswer: -21161*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 + -0.4. Let m = 27 - 83. Let k be (6\/m)\/((-1)\/(-4)). What is the third biggest value in z, k, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 414*m.\nAnswer: 3*m*(m - 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5068 + -2?\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 6\/15*-15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33252 plus 3?\nAnswer: -33249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 269588.2 weeks?\nAnswer: 2717449056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + 0 + -3. Let z(i) = -i**3 + i**2 + 4*i. Let q be z(3). Does 13 divide 22 - (-2)\/(q\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4\/53 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76763095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 212 + -238. Suppose 20*o - 16*o - 308 = 0. Let h = w + o. What is the remainder when h is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26554*u**5 - 8*u**4*v + u**2*v + 2*u*v + 1532370*u wrt u?\nAnswer: -531080*u**3 - 96*u**2*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 276, 3 in decreasing order.\nAnswer: 276, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 7 (c) 64 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 9*m**2 + 10*m + 6. Give f(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/22 - -5\/11. Let j be 2 + (-2 - -3) + 0. What is the nearest to -0.1 in -4, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 10039, -51, 3 in decreasing order.\nAnswer: 10039, 3, 0.5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 times 0.4376\nAnswer: 1.70664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31451 - 0.61451. Which is the nearest to 1\/24? (a) k (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/7 - 384876*r\/7 - 48156375\/7.\nAnswer: 3*(r - 128417)*(r + 125)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zobzzzbzzaboazazz. What is prob of sequence zb?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.774235781 take away 1130?\nAnswer: -1113.225764219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5063352 by 21.\nAnswer: -241112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 2*r + 2. Let s(h) = 2*h**2 + h - 1. Let z(t) = 5*p(t) + 8*s(t). Let v(l) = -3*l**2 + 4*l - 5. Determine 3*v(m) + 7*z(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 21. Suppose -h + m = 3*h. Let c(v) = -2. Let t be 4*(28\/(-24) - (-4)\/6). Let f(b) = -b - 2. Calculate h*f(l) + t*c(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.79 - -48.79. Put -0.2, b, 0.4, -4, 12 in increasing order.\nAnswer: -4, -0.2, 0.4, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3439 and 6004?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(108)) + sqrt(108))**2.\nAnswer: 240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = -5*p + 175, 0 = 4*p + 4. Suppose 2*o - 8 = 3*l, -l - 2 = -0*l. Let b = o - -3. What is the highest common divisor of b and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**2 - 12*m + 15. Let w(l) = 8*l**2 - 12*l + 14. Let v = -206 - -211. Let r(c) = v*a(c) - 6*w(c). Let r(k) = 0. Calculate k.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 - 211920*x**2 - 423876*x + 1695408 = 0. What is x?\nAnswer: -4, 2, 70642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -3 (b) -5 (c) -0.5 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -0.2, 2\/5, 1\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1150\/(-69))\/((-2)\/66) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/7 (b) -2\/1074793 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Let q(j) = 50*j + 40. Let l(z) = 8*z + 58. Let s be l(7). Suppose -3*t - x - x = -s, -x - 83 = -2*t. What is t*r(p) - q(p)?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4298.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -71, -88, -109?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 19*l + 33. Let x be s(-11). What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0015 - -0.02.\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -265737*k - 23. Let i be a(-37). Let g = 2611052 - -1521194. Let v = i - g. What is v rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 g when three letters picked without replacement from {v: 8, i: 8, m: 1, d: 1, g: 2}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 646*n - 26487. Determine s(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-795)\/(-11713) + (-240)\/(-520)?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14000232143 + -1?\nAnswer: 14000232142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = -15*w - 14000. What is the common denominator of (-1 + 15\/9)\/(w\/(-406)) and 73\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 - 33.78. Let u = l + 32.56. Round u to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 - -6) + 1*2. Let a be ((-2)\/(-6))\/(52\/z). What is the biggest value in a, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 10*i + 9. Let f be 1*(13\/1 - 4). Let v be s(f). Suppose 2*y = 3*y + 1. Sort y, -4, v in increasing order.\nAnswer: -4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 8*j - 4. Suppose -4*w - 3*w = -28. Let a be y(w). Calculate the highest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1108 and 46996?\nAnswer: 13017892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15*(0 + -3). Suppose y*c + 13 = 5*k, 4*c = -25*k + 20*k + 19. Solve k*d - 8*d = 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.9, -5\/16 in decreasing order.\nAnswer: -5\/16, -1\/2, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 2*t + 19*l - 94, 2*l = -8. Let h = -45 + t. Solve 0 = h*f - 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17584 and 18.\nAnswer: 17602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Solve -5*u - 6 - 19 = d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 20. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -232, -346, -460, -574, -688?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 14*z + 34. Let y(l) = -24*l + 1 - 12 - 4*l**2 + 0*l**2 + 2*l**2. Let h be y(-12). Calculate the least common multiple of w(h) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275808548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277 - -267. Is (-1)\/((-5)\/p) + 495 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25, -10 in increasing order.\nAnswer: -10, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 587*h**5\/60 - 55*h**4\/24 + h**3\/3 - 18*h**2 + 5. Find the second derivative of j(w) wrt w.\nAnswer: 1174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1949\/6780 + -8\/113. Let r = c - 7\/15. Let o be ((-1)\/(-2))\/(5\/6). What is the smallest value in r, o, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12*w**3 - 3*w**2 - 15*w + 56. Let x be d(3). What is the remainder when 13\/(-26)*x\/1 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28b048 (base 12) to base 5\nAnswer: 133320431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/3 - 14*d**3 - 208*d**2 - 3968*d\/3 - 3072 = 0.\nAnswer: -18, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 + 140*f. Let y(l) = -21*l**2. Determine q(y(m)).\nAnswer: -2646*m**4 - 2940*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9745, -3, -23 in descending order.\nAnswer: -3, -5, -23, -9745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 352*z + 3341 - 3341 to the form s + f*z and give f.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 5 (c) 3 (d) -1\/6 (e) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.38844 to 2 decimal places.\nAnswer: -30.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-23))\/14*5\/5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 280*c + 281*c = 6, -2*c = -x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/3*-1*1. Let s(w) = -w**2 - 22*w - 122. Let b be s(-10). Sort f, -1, b, 3 in increasing order.\nAnswer: b, -1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Suppose -36*y + 31*y = -15. Solve -2*j - y - m = -2*r, -16 = -2*r + 4*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64.42011 litres?\nAnswer: 64420.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13650 and 1766.\nAnswer: 24105900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -851325*a + 3405337. Give c(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 21*d**3 - 248*d**2 - 1991*d + 684. Let t(c) = -125*c**3 + 1490*c**2 + 11945*c - 4105. Let z(w) = -35*p(w) - 6*t(w). Find m, given that z(m) = 0.\nAnswer: -6, 1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4\/2 + 5*o**3\/2 - 35*o**2\/2 - 65*o\/2 - 15 = 0. Calculate o.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451 - 451. Solve -10*v + 19 + 31 = z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 373646.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1443 and 0.106905.\nAnswer: -154.263915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 21*y**2 - 19*y + 35. Let t be z(-22). Let p(q) = -q - 62. Let f be p(0). Let j = t - f. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -23)*(28\/104)\/(-7)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4 = 2*p, 1456*p - 725*p = 728*p - 3*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 4*z + 3. Let i(t) = t**2 + 3*t + 4. Let r be i(-3). Let q be m(r). Solve 0 = 4*w - 4*j + 16, 8*w = q*w - 3*j + 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 5. Let i(b) = -1. Suppose -k + q = -0*q - 2, 3*k - 4*q - 10 = 0. What is k*f(j) + 14*i(j)?\nAnswer: 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1864 is divided by 370.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -208133281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -8)*(-14)\/(-10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 45*o - 165. Determine c(-48).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 25. Let s be 2\/((0 + -3)\/12). Let f be r(s). Put 0.2, 0, f in descending order.\nAnswer: f, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 5. Calculate q(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 122?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 26*t = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 v, and 1 w when three letters picked without replacement from wowowvuwuwdowauwuv.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 772151221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 3. Let p(x) = -5*x - 16. Let o(u) = -4*m(u) + p(u). Let a(f) = 6*f - 35. Let d be a(7). Give o(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*38*1\/8056\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 203*d + 15. Let a be c(6). Suppose 7*r + 2*r = a. List the prime factors of r.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -917*r**5\/5 - 3070*r**2 - 3022. Find the second derivative of m(a) wrt a.\nAnswer: -11004*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -2460, 2, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-144*z + 144*z + 3 + 4*z**2)*(3 + 0 - 1) in the form y*z + i + d*z**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1606, -1602, -1596, -1588, -1578?\n\"Answer: l**2 + l - 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 + -1.7. Let h = -3.80203 - a. Round h to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30310, 54887, 79462, 104035, 128606, 153175, 177742?\nAnswer: 202307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19)\/(-6) - (-12)\/(-72))\/1. Suppose -4*g = -y*d + 110, -d - 2*g - 2*g = -10. Suppose -3*f = 3*f - d. Solve -f = -v - 0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let q be z(-7). Let m = -14 - q. Sort m, -5, -1, 5 in ascending order.\nAnswer: m, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295272 and 6696.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*q - 422, -3*h + 1212 = 4*q + 362. Solve q = 14*d + 264 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzpdzzzpzpzzz. Give prob of picking 1 z and 1 p.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 4*l - 6. Determine v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 4. Let b = 87 - 92. What is m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -37\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8594434.\nAnswer: 2, 37, 116141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(2 + -5) + -2. Let x = 10 + b. Suppose -2*l + 15 = 3*t - 4*t, t = -5*l + 20. What is the highest common divisor of l and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y, -5*k - 4*y + 5 = -3*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o. Let v(b) be the third derivative of -b**6\/720 - b**4\/2 - b**2. Let m(n) be the second derivative of v(n). What is w(m(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 6) in base 16?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) -0.4 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 37. Suppose -5*t + 3*b + b + 1611 = 0, -w*b - 654 = -2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161310695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15272, -15560, -16352, -17900, -20456, -24272, -29600, -36692?\n\"Answer: -42*h**3 + 6*h - 15236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-48)*(1*-2)\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25772117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31333134 (base 5) to base 9.\nAnswer: 437843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z - 4. Let p be w(9). Let j = p + -55. Suppose -3095 = -6*v + j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2055.397 to the nearest integer.\nAnswer: -2055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -171393975 divided by 1215\nAnswer: -141065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/9, 1, -31, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/138 and 33\/15778.\nAnswer: 47334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1352470*a**4 - 3*a + 90759?\nAnswer: -5409880*a**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - g, 2*q + g = 4*q + 2. Let p be (q - -1)*-1 - 2. List the prime factors of 22 - (1 - (-3 - p)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/1209*(-3)\/6?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2733 + 2216. Suppose 3*g = -g - 1280. Let b = g - a. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66540 by -53.\nAnswer: 66540\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -54, -134, -258, -432?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 0 - (75 - 95).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(720) + -4)*3 - sqrt(720)) + -1 + -1 + -2)*3*-6)**2.\nAnswer: -6220800*sqrt(5) + 25401600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**7\/1260 + l**6\/240 + l**5\/40 - l**4\/12 + 11*l**3\/3 - 129*l**2. Let f(m) be the second derivative of h(m). Calculate f(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 2*sqrt(720)*2)**2 + -4)*4 - (-2 + -1*sqrt(2000) + -5)**2.\nAnswer: -280*sqrt(5) + 69935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*i - 106 = 0, 0 = 8*i - 3*i + 20. Let p be (-6)\/27 + g\/9. Suppose 0 = r + 3*w, -3*r = -p*w + 2*w - 12. Solve r = 5*z - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6609 * 0.5259.\nAnswer: 0.34756731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*(-3 - 0). Find the third derivative of -j**3 - 3*j**q - j**3 - 2*j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 4:21 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 357*g**3 - 6*g**2 + 6*g + 2. Let p(i) = 356*i**3 - 5*i**2 + 9*i + 3. What is -2*p(n) + 3*u(n)?\nAnswer: 359*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -18.\nAnswer: -18, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6)*76\/(-1). Let o be (-26)\/91 - (-2474)\/(-210). Let q = d + o. Which is the second biggest value? (a) 4 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 - 3.4. Let z be (8\/24)\/((-1106)\/(-969)). Let j = z - 1\/158. Which is the second smallest value? (a) -2\/19 (b) 5 (c) y (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (361\/((-251617)\/(-984)))\/((-2)\/(-85))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2)*(48 + -47).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2 + (6 - 3 + 12)*(3 - 3 + 1))*(-359*a**3 + 359*a**3 + 2*a**4 + 13).\nAnswer: 32*a**4 + 208","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 71049 divided by 71049\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/29)\/k)*k**(-1\/29)\/k*k)\/((k\/k**(19\/3))\/k*k*k**(-19)))**(-50) assuming k is positive.\nAnswer: k**(-3950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15105259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114210677297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 22.3. Which is the closest to z? (a) 0.2 (b) -1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205 is divided by 162.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = 0. Suppose n*d + 60 = 2*d. Solve 5*t + 5*u = d, 2*u = 5*t - u + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*r - 11, 5*u - 12 = 2*u. Suppose 0*w - 3*w = -r*p + 294, 5*p - 3*w - 498 = 0. Suppose 3*c - p = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n. Let k be 9 + 0 + 2 + -2. Let i(j) = -j**3 - 3*j**2 + 5*j. Let c be i(-4). Let t(v) = -1 + 1 + 11*v. Calculate c*t(h) + k*q(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -29*y**9\/168 - y**5\/6 - y**3\/3 + 48*y**2. Find the third derivative of g(j) wrt j.\nAnswer: -10440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -11.6, 4\/7, -6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 7. Let w(r) be the third derivative of 0 + 0*r + 1\/4*r**4 + 11*r**2 + 11\/3*r**3. What is 16*u(q) + 5*w(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11238711, 22477415, 33716119, 44954823, 56193527, 67432231?\nAnswer: 78670935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*g*z**3 - 16*g*z**2 - z**4 + 5 wrt z.\nAnswer: 156*g - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r - 24. Suppose 0 = 4*d + 2*s - 72, -2*d + 36 = -s - r. Is 1 - 2 - (-1386 - d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1798 = m. Is 1\/5 - m\/(-5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*f + 32 = -2*q, 0 = 5*f + 20. Let p(x) = x**3 + 6*x**2 + x + 8. Let t be p(q). Suppose -t*d - 2 = -0*d. Sort -4, 0, d in ascending order.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**8\/336 + x**7\/24 - 11*x**6\/72 + 5*x**5\/24 - 10*x**3\/3 + 8*x**2. Let c(j) be the first derivative of o(j). Factor c(a).\nAnswer: -5*a*(a - 5)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**4 - m**3 + m**2 - 1. Let x(l) = 75 - 85 - 3*l**2 - 94*l**3 + 45*l**2. Let p(a) = -x(a) + 10*z(a). Factor p(k).\nAnswer: -2*k**2*(k - 8)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 49. Let g(s) = 13*s**2 + 4*s + 7. Let n = 14 - 24. Let w be -1*(-1)\/2*n. Let l(q) = 9*q**2 + 3*q + 5. Determine h*l(y) + w*g(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -110 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-18 + 14 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**10\/604800 + v**8\/26880 - v**7\/10080 - v**5\/4 + 43*v**2. Let o(k) be the third derivative of f(k). Factor o(l).\nAnswer: -l*(l - 1)**2*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10465060009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((2 + -4)\/(-2)). Suppose -b - 18 = 5*v, -58*b + 60*b - 24 = 5*v. Let s = m + b. Which is bigger: 1\/20 or s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 92 - 88 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (287 - 2)*(36 - 34) a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 99. Which is bigger: 30 or u?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 6*c - 7. Let z(a) = 3*a**2 - 11*a + 15. Let v = -5 - -3. Let x(y) = v*z(y) - 5*w(y). Give x(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -175?\nAnswer: 87.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 28. Let h be z(-27). Let t be (-9)\/((-27)\/12) - h\/1. Let v(p) = -p + 6. Give v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 1. Let l(j) = -j**3 + 6*j + 2. What is -6*f(b) + l(b)?\nAnswer: -b**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + -14649766943?\nAnswer: -14649766943.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 24 = 17*s. Solve -2*t = -5*t + 5*d - 25, s*d - 3 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 804.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-42) - 5\/1\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 29*p - 283 - 229 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 171 - 141 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-1*sqrt(539) + (-1 + sqrt(11))*-6 - (2 + 2 + sqrt(44)\/sqrt(4)))**2.\nAnswer: -1008*sqrt(11) + 38880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 20*b - 2249. Let y(o) = -33*o + 4499. What is -5*k(z) - 3*y(z)?\nAnswer: -z - 2252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/3 + 908*h**2 - 10968*h + 32976 = 0. Calculate h.\nAnswer: -1374, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.636? (a) -3 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a factor of 658166469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/88*(-4)\/(-3). What is the nearest to 3 in -4, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f + 2*f**2 + (f**2 - 2*f + 2*f)*(-18 - 12 - 5) as g + n*f + u*f**2 and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3385\/37235)\/(2*3\/4686)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -5*v**9\/3024 + v**7\/56 + v**6\/36 + 7*v**3\/6 + 4*v**2. Let k(m) be the first derivative of x(m). Factor k(o).\nAnswer: -5*o**2*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*w**2 - 9*w**2 + 25*w**2)*(-w - w + 3*w + (2 - 6 + 2)*(0*w - 3*w + 2*w)).\nAnswer: 153*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1 + -2)*(-10 + 14). Let h be f\/3*78\/(-52). Calculate the highest common factor of h and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840170 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1681 + -343. Let p = 1337 - x. Let y be ((-8)\/10)\/(0 - -34). Is p bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * -98.\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156977922 a multiple of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26088 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -6. Let m = g - 9. What is the highest common factor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 1024*x**4\/7 - 2816*x**3\/3 - 1902*x**2\/7 - 180*x\/7 - 257. Factor o(b).\nAnswer: 4*(b - 5)*(32*b + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 20 = -5*r - 3*i, -25 = 5*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -25. Suppose 16 = -5*l + u, i*u + 12 = 2*l + u. Let x(m) = -m**3 + 4*m**2 - m - 2. Let r(d) = d**2. Give l*r(q) + x(q).\nAnswer: -q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002481064 rounded to five decimal places?\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103050 by 6870.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 1, -2*g - k - 7 = 8. Let z = -6 - g. Solve -4*p + z - 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -981, 0, -1.\nAnswer: -981, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42390 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(833) + 1 - (sqrt(833) + 1 + 1)**2.\nAnswer: -836 - 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 51*v - 9. Let m(n) = 29*n + 125. Let t be m(-4). Let l(g) = 25*g - 5. Give t*l(y) - 5*p(y).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -278 + 469. Suppose 12*u = l + 205. Let h = u - -27. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 341 - 293. Factor -5*r**3 + 5*r**3 + 4*r**3 + 21*r**2 + 36 + y*r - r**3.\nAnswer: 3*(r + 2)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362 and 12312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1053452 (base 8) to base 16.\nAnswer: -4572a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18130.9 - 18131. Which is the smallest value? (a) -1\/31 (b) i (c) 9.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nurquuua. What is prob of picking 1 n and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -209, -475, -665, -779?\n\"Answer: 38*h**2 - 380*h + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34824979 take away 0.5?\nAnswer: -34824979.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*g + 0 - 2\/3*g**2 + 2\/9*g**3.\nAnswer: 2*g*(g - 2)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.89 + 0.11. Let d = i + -59. Sort d, 0.03, -6 in decreasing order.\nAnswer: 0.03, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2881 + -1891. Is q a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 84, 139, 194, 249, 304?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 4 = -5*f - 4*d, f - 4*d = 12. What is the smallest common multiple of 8 and -10 - -6 - f\/2*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/21 - 23*g**4\/24 + 9*g**2. What is the second derivative of w(b) wrt b?\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 - 8*k + 1. Let s be l(7). Let g = -3 - s. Let m(z) = -z**2 + z + 1. Determine m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/36*52\/78.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (92 - (-9)\/3)\/(-1). Round r to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 + 94. Suppose -446 = 30*v - 390 + 34. Sort -1, p, v in descending order.\nAnswer: -1, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/40896 and -149\/51120.\nAnswer: 204480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/5 + 14*w**2\/15 - 5528*w\/15 - 34048\/15 = 0. What is w?\nAnswer: -28, -19\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 62, 59, 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59918, -119784, -179580, -239300, -298938, -358488, -417944, -477300?\n\"Answer: j**3 + 29*j**2 - 59960*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t - t)*(2 + 1 - 5)*(2*t**2 - 3 + 3).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/6)\/(28\/(-36) - -1). Suppose -7*p + 57 = m. Let q(u) = -4*u + p*u - u**2 - 2*u. Let h(w) = -w**2. Give q(h(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**12))\/k*k\/(k**39\/k*k)*k*k**(-5\/9)*k*k*k*k**(-4\/15)*k assuming k is positive.\nAnswer: k**(-1072\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10 = -4*c, 5*c - 14 = -5*i + 7*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3)*(3588\/(-8) + -6). Suppose 0 = -5*h - i + 2086. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17d19 (base 16) to base 12\nAnswer: 48561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6145, -3\/7, 0.4, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98820.56ml to litres.\nAnswer: 98.82056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10712*f - 460616. What is j(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m - 59. Let i be z(7). Suppose -r + 8*f = 13*f - 235, i = -f. What is the remainder when r is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 124. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 22128 = 20*m. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from hsshsnlhrrrnrrn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*j + 21 = 0, 18 = 3*n + 109*j - 106*j. What is the highest common factor of 85 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 4. Let c be w(4). Suppose c*s - 60 = -2*j + 6*j, -2*j = 4*s - 78. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*x - 133, 4*x - 4*s = -2*s + 176. Let u be (-21)\/x + 2\/10. Let d = -8\/5 - u. Sort -0.09, 0.3, d in ascending order.\nAnswer: d, -0.09, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 40. Let t(j) = -3. Let a(c) = 2*c + 24. Let s(l) = a(l) + 8*t(l). What is b(s(n))?\nAnswer: 2*n + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 14*r + 14 + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18317 - 5878*w**2 + 18317 + 2089*w**2 to b + a*w**2 + u*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59635?\nAnswer: 5, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 33 = 3*p, 3 = 4*l - p + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320923.\nAnswer: 320923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33181280 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10399500 minus -11836563?\nAnswer: 1437063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (((3 + 0 + sqrt(180))*4)**2 - (-6*1*sqrt(180) + 2)).\nAnswer: 612*sqrt(5) + 3027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4 - 4*k - 1 - 1. What is the remainder when q(-7) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 1. Let q(o) be the third derivative of o**5\/15 - o**4\/12 + o**3\/3 + 4*o**2. Let k(i) = i + 16. Let b be k(-13). Calculate b*t(y) + q(y).\nAnswer: y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/18 and 127\/3072?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7b109 (base 12) to base 9\nAnswer: -270350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683625?\nAnswer: 3, 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 + 6 = 0. Find the third derivative of -y*u**2 + 0 - 174*u**3 + 0 + 166*u**3 wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 18*o**2 + o + 9. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l. Let c(p) = -7*p. Let t(d) = -3*c(d) + 6*w(d). Let h(j) = 18*j. Calculate h(t(o)).\nAnswer: 54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/12)\/(2\/(-4)). Suppose -r + 1 = t - 2, -q*t + r + 27 = 0. Suppose 0 = 3*b - 4*b + t. Is 4 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1748290 to the nearest 10000.\nAnswer: -1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/1482 and 1080\/(-216) - ((-73)\/(-12))\/(-1)?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/6 - 8*x + 1. Let c(f) = 85*f. Calculate c(l(n)).\nAnswer: 85*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 divided by 95?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131438955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 18420038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2803*n. Let i(q) = 118*q**2. Determine t(i(r)).\nAnswer: 330754*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, -2, -10, -20?\n\"Answer: -z**2 - 3*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/15*345\/(-138)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 240*g - 150. Determine v(-61).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12096 at least as big as 495946\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 23. Let l be g(-5). Let o be (126\/l)\/(18\/(-192)). Suppose -o = -3*m + 4*u, m + 0*m = 5*u + 45. Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*z + 1437 - 3713 = 0, 4*h + 3*z = 3025. Suppose -h = -6*j + 29. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -694 or -2084\/3?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -3786.2659.\nAnswer: -3790.2659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 76*r**2 - 2*r + 2. Let z(w) = -79*w**2 - 2. Determine -4*n(x) - 3*z(x).\nAnswer: -67*x**2 + 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -551*x**3 - 2*x**2 + 811?\nAnswer: -1653*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n + 1. Let k(j) = -j**2 + 12*j + 19. Let d be k(13). Put d, -5, n in decreasing order.\nAnswer: d, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/741 and -32\/585.\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + (-36)\/(16416\/(-7885)))\/(1\/(-6)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + q + 27 = 10*s, 5*s - 33 = 4*q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 301*p**3*t**2 - 7*p**3 + 2539*p*t**4 - 82661*p - 1 wrt t.\nAnswer: 602*p**3*t + 10156*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113.034 + 0.034. Let o = -112.999902 - s. Round o to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69401, -137945, -206489?\n\"Answer: -68544*v - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from nnnpnnnnlnlp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 59*r + 3 - 3*r**2 - 3 + 0*r**2.\nAnswer: -3*r**2 - 66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:54 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*d + 2, -194 + 217 = p - 5*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 4*w. What is d(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1493610.3 rounded to the nearest one hundred?\nAnswer: -1493600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2*r - 1\/5*r**5 - 7*r**3 + 0*r**2 + 35\/4*r**4 - 51. Find the third derivative of q(p) wrt p.\nAnswer: -24*p + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37092*b**3 + 78722*b**3 + 144225*b**3 + 32865*b**3 + 46816*b**3.\nAnswer: 265536*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 787806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2173, 4339, 6513, 8701, 10909, 13143?\n\"Answer: z**3 - 2*z**2 + 2165*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*n + 79 - 79 + (-3*n + 0*n + n)*(-3 + 2 - 1) - 3*n + 0*n + n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2721599\/336 - -8100. Let k(w) be the third derivative of 0*w**5 + 0*w + 0*w**4 - 2*w**2 + 0 - 2\/105*w**7 + 0*w**3 - 1\/30*w**6 - b*w**8. Factor k(a).\nAnswer: -a**3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/2 - 0)*102\/(-38) and (-4)\/((-96)\/(-284)) + 1?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 217735723875 - 4.\nAnswer: 217735723871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -284.7 and 1198.\nAnswer: -341070.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -10. Let v(m) = -m**2 - 8*m + 13. Let j be v(-9). Let h(n) = -3*n + 12. Let q be h(j). Sort 1\/5, c, q in increasing order.\nAnswer: q, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*d + 2688 = 1040*d - 428*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531625200 and 800.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p - 2 + 2)*(1 + 2 - 1)*(p + 0 + 0) in the form m + f*p**2 + k*p and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 197. Give l(18).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -566*-0.172.\nAnswer: 97.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {a: 2, q: 4, k: 2, d: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 864421.3nm?\nAnswer: 0.08644213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 114\/61?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 3}. What is prob of picking 1 i and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*(-9)\/(243\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 29?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 5, 41, 0.\nAnswer: -183, 0, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -20. Let r(v) = -2 + 3 + 3 + j*v. Is r(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/66 and 37\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5958247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 32 = -4*i, -i + 13 = d - 0*i. Solve -8 - d = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*a = -49*a + 11297 + 3333 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 57 = 3*x, 4*x - 3*d = -d + 66. Let g be 61272\/126 - 4\/x. Let u = g + -252. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)\/((d*d**(-8)\/d*d)\/d*d))\/((d**(-3)\/d)\/(d**(2\/23)\/d*d)) assuming d is positive.\nAnswer: d**(997\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-2.135845.\nAnswer: 10.679225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b**2. Let d(x) = 2*x + 3. Let v(c) = -c - 2. Let s(a) = -2*d(a) - 3*v(a). Calculate s(r(z)).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1705.89 - 1582.6. Round a to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-24)\/(r*r**(-21)) assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019165 to four dps.\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -702\/1271347 or -1?\nAnswer: -702\/1271347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.2. Let s = -0.3 - -0.8. Which is the smallest value? (a) s (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1464 divided by -605\nAnswer: -1464\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 - (-1 + 8) - (-9 + 24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 5. Let y be 0\/(2*-2*7\/14). Let j be w(y). Which is the biggest value? (a) j (b) -0.03 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2084882*z**2 + 81765764*z + 801680882.\nAnswer: 2*(1021*z + 20021)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 3*s + 2. Let f be y(-2). Suppose -5*q + 26 = f*w, 0*q + 2*q + 5*w = 24. Find the first derivative of -2*b**2 + 7 - 17 + 2 - 3*b**q wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c**3 - c**2 + 5*c - 4. Let p(a) = 10*a**3 - a**2 + 3*a - 2. Calculate 5*p(i) - 3*x(i).\nAnswer: -7*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*r = -4*i, -3*i - r + 10 = 0. Suppose 4*x + 10 = 2*l, -x - x + i*l - 20 = 0. Let z(a) = -a - 12. Calculate z(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.246544 rounded to three dps?\nAnswer: -1.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - -5. Suppose -w = -10*i + 387. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 13104?\nAnswer: -13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04703 plus 3?\nAnswer: 2.95297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60636731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 c when four letters picked without replacement from {c: 3, p: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8290, -8706, -9392, -10342, -11550?\n\"Answer: z**3 - 141*z**2 - 8150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1\/60*i**4 + 0*i**3 + 0*i + 0*i**5 + 1\/300*i**6 + 2*i**2 + 0. Factor s(d).\nAnswer: 2*d*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32788 - -32926 - (-1 + 160)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-2\/7)*o))\/((o\/(o*o*o**(2\/9)*o*o*o))\/o))\/(o**(-1\/15)\/o*o**(-8)*o))**2 assuming o is positive.\nAnswer: o**(8552\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18 - 4*k**3 - 12*k**2 + 6*k - 19 - 2*k + 13.\nAnswer: -4*(k - 1)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 + 459101*a**4 + 757*a**2 + a + 1 wrt a.\nAnswer: 120*a**2 + 11018424*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -6. Suppose 3*j = b + 4. Let r be ((-3)\/j)\/((-6)\/72). Is r bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 - 252*i - 62 + 171 - 55 as u + l*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-185)\/(-825) - 6\/45. Let u = 0 - 1. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -1.97. Let n = 0.2 + -4.2. Let k = 5.7 - 4.7. What is the third smallest value in k, g, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-12) - (-570)\/684. Sort -5, g, 2, -29 in descending order.\nAnswer: 2, g, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 58*b + 378. Let a be c(7). Solve -42 = a*k + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25664374?\nAnswer: 2, 12832187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -8. Let s = -38 + d. Let y = 15.0014 + s. What is y rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + 4*t)*(-1 + 1 - 1) + t - t + 2*t + (50 - 15 + 17)*(-t - 2*t + 2*t).\nAnswer: -49*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 2. Let s be (6\/9)\/(((-5)\/(-9))\/5). Let t be o(s). Suppose -5*n + 4 = 2*p, -t*n - 5*p = n + 5. Solve -4*r - n = -18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 368.1317cm?\nAnswer: 0.003681317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/68000*210 - 3*(-2)\/(-15)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 145902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/39676 and -129\/277732.\nAnswer: 277732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.1 and 2042520000.04.\nAnswer: 2042520004.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*f**3 - 4*f**2 - 11*f**3 - 13*f**3 + 11*f**2 to o*f + z*f**3 + k + x*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 + 7*j. Let o(l) be the second derivative of -l**4\/6 - 30*l - 2. Calculate f(o(s)).\nAnswer: -16*s**4 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 465.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2183 - -2284. Is z bigger than 111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = c - 10*z - 77, -z = 1. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5561\/21762 - 3\/806. Let x = -136\/837 - j. Let y = 69\/248 + x. Which is the smallest value? (a) y (b) -2\/3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*o + o. Suppose -3*j + 5*q + 52 = 0, 6526*q - 6524*q - 8 = -2*j. What is the greatest common divisor of j and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656536?\nAnswer: 2, 82067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3 - 2 - 404*v + 290*v - 1. Let t(w) = 3*w**2 + w. What is t(i(n))?\nAnswer: 38988*n**2 - 114*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169740 - 6?\nAnswer: 169736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crcaccccc. Give prob of sequence ca.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/((488\/(-216))\/61)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239\/5 - (-2)\/10 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*a - 144 = u, 4*u - 4*a - 140 = 0. Let s = u + -22. Suppose 2*h + 2*f - s + 1 = 0, -3*f + 3 = -3*h. Solve t - h = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 14. Suppose 0 = -4*r + 11 + 81. Suppose 2*l - 13 = r. Calculate the least common multiple of l and q(0).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, -14, -53, -108, -179?\n\"Answer: -8*k**2 + k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7*(469\/49 + -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 260 = -30. Let a(u) = 896*u. Let t be a(-4). What is the remainder when t\/(-40) + 4\/10 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 112858*u + 338554. What is x(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -150.08. Let q = z + -0.08. What is the closest to -1 in 0.2, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 6, -2, 32, 4, 94 in increasing order.\nAnswer: -5, -2, 2, 4, 6, 32, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 9*r**2 - 12*r - 13. Let i be q(-10). Suppose i*t - 20 = 2*t. Let l = -0.7 - -0.9. Which is the nearest to l? (a) -0.3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*3\/(30\/(-8))*-1. Let c be 312\/20 + s\/(-10). Solve 4*j - c = -0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323491063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219866*k - 22212*k + 40593*k.\nAnswer: 238247*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 8*p + 4. Let x be r(-3). Let y = x - -13. Suppose -y = 2*j, -4*j + 0*j = -2*f + 28. Solve 0 = -5*s - 8 - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14 - 8*x**2 - 3*x**2 + 3*x**2. Let o(i) = 3*i**2 - 5. Calculate 14*o(n) + 5*u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 142 = 3*z, 2*b - 3*b = 5*z - 24. Solve 15*f = 46 + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -7*p**3\/6 + 3*p**2\/2 - 3*p. What is the derivative of s(t) wrt t?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -2*p + 14, 4*p + 4 = -2*m. Let n = -952 - -959. Solve -v = -p, -v + n - 21 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/7)\/d*d)\/d*d*d**(-26))\/((d*d*d\/d**16)\/(d\/(d**(-9)\/d))) assuming d is positive.\nAnswer: d**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*w + 2*k, -k - 14 = -4*w - 3. Solve l = w*l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((79\/(-474))\/((-2)\/(-26)))\/(1\/((-36)\/6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 6 - -2)\/(1\/3). Let s be d\/(-24) + (-3)\/4. Is 993\/(-6 + 3)*1*s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*o = -14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/420 + 8*t**5\/105 - 11*t**4\/12 + 14*t**3\/3 + 4*t**2 - 14*t - 4. Determine q, given that j(q) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c927 - -1d?\nAnswer: -c908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1110 + 2227 - 1117 + 3899*k to the form x + o*k and give o.\nAnswer: 3899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 7*n - 2. Suppose 0 = -13*o + 15*o + 14. Let x be q(o). Suppose -1 - 7 = -4*k. Put 1, x, k in descending order.\nAnswer: k, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**4\/24 + t**3\/2 + t**2\/2 - 2*t. Let o(q) be the first derivative of m(q). Let r be o(3). Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**6\/120 - q**5\/20 - q**3 + 22*q**2. What is f(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 292.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -200*t - 670. What is s(-3)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -11. Let i(p) be the second derivative of 2249*p**4\/12 - 5*p**3\/6 + 3*p**2 - 2*p. Let h be i(t). What is h rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.2 - -7. Let i(s) = s**3 + 5*s**2 - 15*s - 6. Let r be i(-7). What is the closest to r in -0.1, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4) - (-12)\/(-80)*-5. Suppose 0 = -4*x - 8, a = -2*m - 2*x + 4 + 2. Calculate the highest common divisor of 85 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/9)\/(1*2\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.0031.\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*g - 42, -3*h = 5*g - 88 + 21. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175136567?\nAnswer: 17, 457, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11231 (base 4) to base 5\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570*z**2 + 1389*z**2 - 82139 - 477*z**2 + 82139.\nAnswer: 1482*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.5. Let h = -2.04 + 0.04. What is the nearest to h in -3\/2, -3, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2769507 - -28.7223893. Let q = c + -29. Round q to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2296\/17 - 157693\/1173. Let l = 24\/23 + w. Let h = 0.2 + 0.3. Sort l, -3, h in decreasing order.\nAnswer: l, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0511 and -22?\nAnswer: 1.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 14*w**2 + 11*w + 23. Let x(a) = a**3 + a**2. Let t(o) = -2*x(o) + z(o). Let u be t(13). Put -6, -2, u, -4 in increasing order.\nAnswer: -6, -4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6) + 306\/1512)\/((-28)\/(-49)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 89 = 2*f - 1073, 4*f - 2*h = 1986. Calculate the highest common divisor of f and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i*j**2*v**2 - 11*i*j*v**2 - 5*i*j*v + 60*i*v**2 + 6*j**2*v + 302*j**2 wrt j.\nAnswer: 8*i*v**2 + 12*v + 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u + u)*(6 - 2 - 2)*(-2 - 2 - 1)*(1 - 3 + 0).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 2. Let m be p(2). Suppose -m = -5*o, 0 = -4*v - 2*o + 17 + 39. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o + 6. Let k be r(1). Let f(v) be the second derivative of v**3\/6 + 3*v**2 + 2*v. What is the remainder when f(k) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*f - 4*s, 15*f - s = 16*f - 38. What is the highest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 - 5. Suppose 3*d - 10 = -1. Let n(f) = f**3 - 2*f**2 - 4. Calculate d*n(y) - 2*r(y).\nAnswer: y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -74?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49691.92 decades in months?\nAnswer: 5963030.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 784 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from polllrpppfeo. Give prob of picking 1 e and 1 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 219111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 208*w**2 + 60*w**2 + 24*w**2 + 8*w**2 + 14*w**2 - 1 to the form j*w**2 + t*w + f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.54884542 - -34.601\nAnswer: 35.14984542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*a + 5 - 5 + 3*a as i*a + k and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*x**3 + 151 + 82*x**3 - 307.\nAnswer: -x**3 - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 5}. Give prob of picking 2 z.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -66, -154, -298, -510, -802?\n\"Answer: -2*m**3 - 10*m**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**2 + 5*m + 7. Let g(r) = -2*r - 6. Let u(b) = -2*b + 10. Let l be u(7). Let a = l - -1. Give a*g(s) - 4*j(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 10. Let q(t) = t**2 - 5*t + 3. Let d be q(5). Suppose -d*z + 22 + 2 = 0. Let p be y(z). Solve 4*h = -3*w + 2, -4*w + 0 - p = h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1832 + -886. Let b = 1495 - g. Suppose -i + b = 8*i. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -a692c6?\nAnswer: a692c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3362 + 24350. Find g such that 140*g - 22812 + 3*g**2 + w - 2*g**2 = 0.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d*d*d\/d**10)*d)\/d*d)\/(d\/(d**(-9)*d)))\/(d*d*d*d**(-1\/3)*d*d)**29)**29)**(-10) assuming d is positive.\nAnswer: d**(117740\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -74 from -49426.61.\nAnswer: -49352.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 6*t + 2. Let b be z(4). Let l(m) = 3*m**2 - 10*m - 9. Let n be l(b). Let q = n + -105. 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: What is (63\/(-33) + 2)\/(3\/(-12))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*v - 2*i, 4*v = -5*i + 10915 - 10866 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 5. Let m(f) be the first derivative of -11*f**3\/3 + 14*f - 312. Determine 8*l(u) + 3*m(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 69, 23, -3, 2 in ascending order.\nAnswer: -3, 2, 3, 4, 23, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -432, 2387, -2, -4 in descending order.\nAnswer: 2387, 3, -2, -4, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7782192 divided by 4.\nAnswer: -1945548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + 3 + (sqrt(20) - sqrt(5)))**2 + 5.\nAnswer: 6*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 2. Let c be ((-1)\/3)\/(92\/828). Let y(n) be the second derivative of -1\/3*n**3 + n + 1\/2*n**2 + 0. Calculate c*i(g) - 4*y(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 2. Let y(w) = -279*w + 4. Give 3*g(f) - y(f).\nAnswer: 273*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31502, 31500, 31498, 31496?\n\"Answer: -2*a + 31504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263 + 521\/2. Which is the biggest value? (a) -1\/10 (b) x (c) 3 (d) 2 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 2*q**2 - 2*q**2 + (0*q**2 + 2*q**2 - 4*q**2)*(-2301*q - 18*q**2 + 2301*q + (0*q + 2*q**2 + 0*q)*(-1 + 0 - 3)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (25920\/(-7776))\/((-5)\/(-99))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 4*l**2 - 7*l - 5. Let k be i(-5). Suppose -y = -k*x + 4*y + 290, x + 4*y - 43 = 0. What is the greatest common factor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*((-196)\/(-7))\/(-672)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*y**3 - 2989*y.\nAnswer: 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 4*d + 2*d)*(1 + 0 + 1)*(-1 + 5 - 1 + (-2 + 2 - 1)*(-6 + 2 + 2)) - 2 + 2 - 3*d as k*d + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f - v = 35, -5*v = -3*f - 680 + 707 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 4365178*m\/7.\nAnswer: 2*m*(m - 2182589)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 4. Let a be j(2). Suppose 3*u - n + a*n = 93, -152 = -5*u - 4*n. Solve -2*w + 2*m = 7*m - 28, -5*w - 2*m + u = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392811772.\nAnswer: 2, 11, 31, 1021123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*i**2 + 21409*d**2*i + 2*d*i**2 + 1383*d*i - 6*i**2 + 3 wrt d.\nAnswer: 2*i**2 + 42818*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 26 - 6 + 1 - 2 - 1 - 6 + 2 + 3 + (-6 + 4 + 3)*(-4 + 5 - 3) + 3 - 4 + 3)*(u + 0*u - 2 + 2*u) - 1 + 1 + 3*u in the form p*u + c and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - (-47)\/8 - -4. Which is the closest to j? (a) 5 (b) -0.5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25252 is divided by 12624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 664798444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k. Let n(j) = 2*j + 9*j - 4*j + j + 7*j. Give w(n(y)).\nAnswer: 285*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*p - 31 = 0, -5*l + 4*p + 27 = -10. Suppose 0 = -3*c + 1 + 26. Suppose -l*m - 4*v = -c, v = 1 - 5. Solve -t - t = 2*f + 14, -t = m*f + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61952.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxbp when four letters picked without replacement from fhhxhbhbpbb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.4 - 5.4. Which is bigger: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 1\/2, -0.5, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/t)\/(t**2*t))**(3\/4)*(t\/t**0)\/((t\/t**3*t)\/t)*(t**(-2\/5))**(-16\/11) assuming t is positive.\nAnswer: t**(953\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0 + 30*f + 1\/20*f**5 + f**3 - 3\/4*f**4 + 4*f**2. What is i(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0*m**5 + 1\/6*m**6 + 0*m**2 + 10*m + 0*m**4 + 0 + 4\/3*m**3. Find the second derivative of a(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/7 + 2220*v\/7 + 410700\/7 = 0. What is v?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/2 + 633*z**3\/2 + 30471*z**2\/2 - 65433*z\/2 - 47637 = 0. Calculate z.\nAnswer: -134, -79, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - -218. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/d)\/(d*d**8\/d))\/(d**(3\/7)*d**(-4\/5)) assuming d is positive.\nAnswer: d**(-92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 17519*z**2 + 17518*z.\nAnswer: z*(z - 17518)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20826 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.63 + 1.43. What is the smallest value in k, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3726340 is divided by 338757?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957471 divided by 51?\nAnswer: 136421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83441612927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 + 3*t**3 + 0*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let t = -6505 - -6529. Solve -v*c + 0*s + 3*s = -t, 0 = 2*c + 2*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, -1, 0, -1109, 1 in ascending order.\nAnswer: -1109, -12, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = -5*y. Let m = 1\/187 - -351\/4301. Which is the biggest value? (a) y (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**8\/308 + 23*h**7\/1155 - 7*h**6\/66 - 169*h**5\/330 + 5*h**4\/22 + 307*h**2 + 5. Find b such that n(b) = 0.\nAnswer: -5, -2, 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -654.94 and -0.9.\nAnswer: 589.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 38 - (430 + -450).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16707985.\nAnswer: 5, 7, 53, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 - 8*a - 10. Suppose -4*n = 6*i - i + 41, 3*i + 35 = -5*n. Does 18 divide d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 3*v - 2. Let g(m) = 11*m**2 - 10*m - 7. Let i(t) = 4*g(t) - 14*r(t). Find the second derivative of i(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63369*i**3 + 20*i**2 + 3*i - 9498720 wrt i?\nAnswer: 190107*i**2 + 40*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - l + 3*l = 11, -5*l = h - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**2 - 13*d - 1. Let i(o) = 4*o**2 + 7*o. Let n(s) = 5*i(s) + 3*y(s). Give n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*t = -t - 1, 0 = 5*n - 2*t + 5. Let j(z) be the first derivative of -31*z**2\/2 + z + 2. Does 13 divide j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -21. Suppose -2*m = -m. Suppose 5*v + 20 = 2*j - m*j, 5*v = -2*j - 20. What is the closest to j in k, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*z**5\/7 + 2448*z**4\/7 + 7292*z**3\/7 + 872*z**2 + 1744*z\/7 + 160\/7 = 0 for z.\nAnswer: -1, -2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 39*f + 194. Is k(4) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8116100?\nAnswer: 1\/8116100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45, 143, 307, 543, 857, 1255, 1743, 2327?\n\"Answer: m**3 + 27*m**2 + 10*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -67*m - 5*m. Determine s, given that 5\/4*s**m + 9\/4*s + 3\/4*s**4 - 1\/2 - 13\/4*s**2 - 1\/2*s**5 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5 - 5*u**2 + 0*u**3 + 2 + 0*u**3 + u**3. Let p be d(5). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/75 + -18\/25. Which is the second biggest value? (a) -0.2 (b) 0.11 (c) 2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*o**4*s**2 + 86349*o**2*s**3 - 16*s**3 + 299*s**2 + 5*s with respect to o.\nAnswer: 176*o**3*s**2 + 172698*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3370 - 2311 = -2716*z + 2469*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2375 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*i + 3*x + 33 = x, 0 = -10*i - 4*x + 3414 - 3336 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by (-185152)\/(-1144) - (-2)\/13?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 23.\nAnswer: 60\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79873? (a) 3 (b) 6 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -2 (c) -0.1 (d) -3\/7 (e) -1403\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -974345 by 2.\nAnswer: -974345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-158)\/54 + (-54)\/729. Sort -2, 2, -4, h in descending order.\nAnswer: 2, -2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38617677 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 839 + -847.03. Let p = g - -8. Let o = 6.8 + -1.8. Sort o, p, 0.2.\nAnswer: p, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210121 - -1?\nAnswer: 210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**3 + w**2 - 4*w + 3. Let f be i(1). Suppose -2*z + m + 956 = 0, z - f*m + 8*m = 476. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8121 (base 15) in base 2?\nAnswer: 110101001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67.1 * 0.05332.\nAnswer: 3.577772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a + 124. Let d be z(-10). Solve 4*y + 0*y + 4 = -4*l, d*l + 3*y + 8 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*f - 48 - 42. Is (63\/f)\/(-12 + (-2527)\/(-210)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -67*j - 6085. Determine b(-89).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h - 737973. Let f = 376991 + h. What is f rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n + 21. Let x(f) = 2*f + 114 + f - 109. Calculate 4*i(q) - 18*x(q).\nAnswer: -2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 23 = -57 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*g + 811 - 425 - 430 in the form n + h*g and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = -l, -l - 4*r = -2*l - 13. Let d be 0 - 1\/(-3)*11. Which is greater: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6351*i**3 - 533*i**4 - i**2 + 6280*i**3 + 529*i**4 as l + v*i**2 + z*i**3 + h*i**4 + b*i and give z.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/10*1\/2. Suppose -3*o + 7*o = 5*f + 121, -20 = 4*f. Let d = -71\/3 + o. Sort d, -4, c in decreasing order.\nAnswer: d, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -6*q + 2*q + 4, 0 = 2*q - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from {k: 2, v: 2, i: 9, g: 5}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0*j**2 + 1 + 0*j**2 - j**4. Let t(x) = 2*x**4 + 6*x**2 - 8. Let r(i) = -5*c(i) - t(i). Factor r(n).\nAnswer: 3*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -656 - -735. Is 77 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 < 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 3*j**4\/8 - 5*j**2. Let a(c) = c**2. Give a(u(g)).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/1829*(0 + 1)*(-3)\/9*3?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 5*c - 2 - 2, 0 = -3*x + 5*c + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.042 - 0.458. What is the nearest to 0.1 in 3\/7, 0.6, k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 2:10 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 861928087 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 52.5. Let w = -49.38 - -49.18. Which is the second biggest value? (a) w (b) -4\/5 (c) h (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, f: 5, t: 2, z: 1}. What is prob of sequence zfft?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 3.8552, 9, 4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25856 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 2*w + 5. Calculate l(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115581 to the power of 1\/2, to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3941 + 3946. Solve o - 8 = 2*i - 0*o, -5*o - 20 = x*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -6\/5, -3, 2039\/5.\nAnswer: -3, -6\/5, 1, 3, 2039\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose 0*u = -g*u + p + 15, 5*p = -25. Suppose -4*m - 3*b + 42 = -0*m, -u*m + 5*b = -70. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1785833 divided by 1?\nAnswer: -1785833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + -3)*3 + (5*(sqrt(1584) + sqrt(1584) + -3) - sqrt(1584)))**2.\nAnswer: -5328*sqrt(11) + 136107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1152 - -1147. Let t(n) = 119*n**2 - 42. Let j(v) = 14*v**2 - 5. What is r*t(l) + 42*j(l)?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22500116 (base 8) to base 16.\nAnswer: 4a804e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/5)\/(39\/(3705\/(-38)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 941*q**2 + 25*q + 10?\nAnswer: 1882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/((-3)\/6 + 0). Let t = 54 + g. Let p(q) = q**2 + 5*q. Let y be p(t). Sort 2, -2, 1, y.\nAnswer: y, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8576174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 11. Let q = i + -2. What is the second smallest value in 1, q, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92654 + 92659. Let o be ((-4)\/(-5))\/((-8)\/(-20)). Which is the closest to 0? (a) 1\/16 (b) f (c) -0.4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 6*g**7\/35 - g**3\/3 - 2*g**2. Differentiate u(r) wrt r.\nAnswer: 144*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h - 23. Give c(19).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1353164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -16, -12, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/6 - 25189*g**2\/2 + 234308540*g + 412289611528\/3 = 0.\nAnswer: -569, 38068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/1)\/2)\/((-6)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241197135.\nAnswer: 5, 19, 619, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k + 3 + 2*k**2 - 33*k + 19*k - k**3 to f*k**3 + q*k**2 + d + r*k and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84539*n - 84540*n = -3. Factor -12\/5*k + 36\/5*k**2 + 0 - n*k**3.\nAnswer: -3*k*(k - 2)*(5*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 3 - 3 - 3*u + 0*u + u + 2*u - 3*u + 3*u + (3*u - 2*u + 0*u)*(-4 + 3 + 0) + 2*u - 1 + 1 + 7*u + 20*u - 11*u + 0*u + 2*u - 6*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 110*s**3 - 600*s**2 - 6030*s - 10125.\nAnswer: 5*(s - 9)*(s + 3)**2*(s + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.01629\nAnswer: 0.006516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38\/17 in -1\/2, -1\/4, 4.46, -2\/3, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f - 6*f + f + 108 + 24*f. Let o be b(-7). Round o to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 73*v - 11. Let a(p) = -p**2 - 45*p - 198. Let n be a(-5). Let r be z(n). What is the highest common divisor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/120)\/(1 + (-39)\/42). Let a(s) be the first derivative of -1 + 4\/5*s - 2\/3*s**3 + 2\/5*s**4 - t*s**2. What is n in a(n) = 0?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/(-36))\/(6\/216).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12998, -12975, -12952, -12929, -12906?\nAnswer: -12883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -17*d**2 - 105*d + 7. Let i(s) = -27*s**2 - 157*s + 11. Calculate -5*i(f) + 8*n(f).\nAnswer: -f**2 - 55*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122002257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*u**2 - 1103*u + 551*u + 555*u.\nAnswer: -87*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0229616108 to 5 decimal places.\nAnswer: -0.02296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2548 and 161.\nAnswer: 58604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) 11\/4 (c) 1 (d) 0.3 (e) 3.8 (f) -1\/2 (g) -322\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17264 and 172016.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 12480808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 5*n - 5. Let a(r) = 3*r + r**2 + 38 - 3*r**2 - 41. Let s(h) = 5*a(h) - 3*o(h). Let v(p) = -12*p**2. What is s(v(d))?\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 740 - 177. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77850 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 0. Suppose -f*g = -28 - 36. What is the smallest common multiple of g and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.5, 0.2, -26, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 3*g + 2 - 2*g)*(556*g - 1099*g + 374*g) to k*g**2 + o*g + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154072*y = -154063*y + 81 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*a - 540, -4*s + 5*s + 5*a = 161. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 440 = 416 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 25*n**2 - n - 91. Let x(c) = c + 9. Determine -q(u) - 2*x(u).\nAnswer: -25*u**2 - u + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -6958, -10, -16 in increasing order.\nAnswer: -6958, -16, -10, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -16697836501?\nAnswer: -16697836501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - 86. Which is greater: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 350147*y - 116716.\nAnswer: (y - 116716)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 121586 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 49*u**2 + 572*u + 44. Determine c(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 1881\/(-143))\/((-7)\/(-91))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 2*f - 1\/3*f**3 - 509\/4*f**4 + 1\/2*f**2 + 19. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 14*p - 13*p - 16985, -3*p - 12 = 0. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 22*d + 45. Let a be l(-20). Suppose -3*f + 8 = -4*z, 6*f - 3*f = -z + 13. Put -4, z, 3, a in descending order.\nAnswer: a, 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*z - 524*z = 50 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(4\/7)*(m**(-11))**(-41) assuming m is positive.\nAnswer: m**(22091\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-30)*(-1)\/96*50*56\/(-70)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let m(x) = -16*x - 57. Determine m(g(c)).\nAnswer: 32*c**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*f**3 + 182*f**2 - 182*f**2 + 0*f**3 - 2*f**3 + 0*f**3 - 9*f**3 - 8*f**3 + 4*f**3 + (4*f**2 - 2*f**2 - 3*f**2)*(-2*f + 2*f - 2*f).\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*4)\/(-3*sqrt(48))*2.\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54984423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -0.3, 26 in increasing order.\nAnswer: -0.3, 4, 8, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -2. Suppose 0 = -l - y + 242. What is l rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = 5*i + 71. Let x be (2\/i)\/(2\/(-8)). What is the nearest to x in 2\/5, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126921101891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-25) + (-12)\/(-30). Suppose 18*v - 255078 = -g*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/4*-10*266\/4655?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/367218 and 157\/8280.\nAnswer: 7344360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985078473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (56\/(-20))\/(5\/(-1550)). Suppose s = 2*x - 2*o, -3*x - 215 = 3*o - 1523. What are the prime factors of x?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50232 or 50572?\nAnswer: 50232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3562720 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 110314\nAnswer: -3\/110314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 177. Let u = f - 26. Let q = u - 48.71. Round q to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 3226405700058.\nAnswer: 3226405700057.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**5 - b**2\/2 + 38*b + 750. Differentiate c(m) with respect to m.\nAnswer: -20*m**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1515 - 4502\/3. Let d = 1776 + -8921\/5. Calculate the common denominator of d and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 33722703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*f - 4. Let l be (7 + -1)\/(3\/2). Suppose l*m + 0*m = 12. Solve -25 = -m*k - f*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 26. What is the tens digit of q(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - g - 2 + (-3*g + 14*g - g)*(-47 + 61 - 85) as q*g + d and give q.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((108\/28 - 4) + 1)\/((-9)\/(-6))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*u**2 + 93\/4*u + 153\/2.\nAnswer: -3*(u - 34)*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -36 + 33 + 16698*m + 30 - 27. Let f(b) = -2*b. Give c(f(l)).\nAnswer: -33396*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121568 is divided by 560778.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -2*m - 149, -140 = 2*t + 63618*m - 63616*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219704896.\nAnswer: 2, 41, 101, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.44 (b) 3\/14 (c) 0.4 (d) -481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 5, c: 7, d: 1, a: 3, k: 2}. What is prob of sequence cagk?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 989348, 1978857, 2968366, 3957875, 4947384, 5936893?\nAnswer: 6926402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:11 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776546507 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q)**(28\/5)*(q**(2\/7)*q)**(-5\/14) assuming q is positive.\nAnswer: q**(1833\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4629974208, -4629974209, -4629974210, -4629974211, -4629974212, -4629974213?\n\"Answer: -b - 4629974207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + w, -30639*q + 30636*q = 4*w + 108 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 84*g**2 - 140*g - 40. Let t be n(82). What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 471789 and 279.\nAnswer: 471789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19619667.\nAnswer: 3, 23, 94781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6345419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + d)*(-4*d**2 + 0*d**2 + 2*d**2 + (2*d + 3*d - 4*d)*(-4*d + 4*d - 5*d) + 0*d**2 - d**2 - 3*d**2).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -1\/5*s**6 + 0 - 3*s**2 + 0*s**3 + 24*s + 0*s**4 + 0*s**5. Find the first derivative of f(a) wrt a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*j - 26, 0 = -0*j + 3*j - 5*i - 14. Let q = -3 + j. Let l be (1 - q\/(-3))*-3. Solve -l = c + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1205483 rounded to four decimal places?\nAnswer: -0.1205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:39 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239455336*f**6 - 10914*f**2 - 2200?\nAnswer: 28734640320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 2*u**2 + 15*u.\nAnswer: -u*(u - 3)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 742162652 a multiple of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1843, 2016, 2339, 2812?\n\"Answer: 75*m**2 - 52*m + 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -3005185\nAnswer: 180311.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 480623621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 19 = -5*j, 2*j + 1 = -0*j + 3*i. Let q(z) = -2*z**2 - 2*z - 6. Calculate q(j).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23311, -25095, -26879, -28663, -30447?\nAnswer: -32231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 4. Let f(b) be the first derivative of -b**3\/3 + b**2\/2 - b - 8. Let h(n) = 3*c(n) + 12*f(n). Find the second derivative of h(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194 - -185.5. Let t = u - -8.76. Which is the second smallest value? (a) t (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n - 90 = -40*n. Solve -5*w - 21 = 5*t + 4, -2*t = w + n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*-3)\/(sqrt(9) - (sqrt(54) + sqrt(216))\/sqrt(6)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x + 476. Does 26 divide j(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 6*m - 120 = 0. Is (-5 - (m + 8)) + 2208 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57443?\nAnswer: 17, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2089*f - 3334*f + 1276*f + 11.\nAnswer: 31*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 4*t, -2*t - 7 = 3*n - 0. Let b(q) = q**3 - q. Let f(d) = 7*d**3 - 5*d + 2. Calculate n*f(z) + 5*b(z).\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6677.59 kilometers?\nAnswer: 6677590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -248a2 - 0?\nAnswer: -248a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 + 4360*t**5 - 1038*t + 2 + 5524*t**5 - 2056*t**5 wrt t?\nAnswer: 156560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 302*h**2 + 2*h**3 + 264*h**2.\nAnswer: 4*h**3 - 38*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-18)\/12)\/(9\/(-12)))\/1. Solve 4*f - y*f = -4, p = f + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 651 - 11725926.\nAnswer: -11725275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3\/2))\/(o**(2\/9)\/o)*o**(-1\/5)*o**6)\/((o\/o**(-1\/2))**(1\/18)\/(o**1)**(-2\/31)) assuming o is positive.\nAnswer: o**(49829\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-42)*a*a)\/a)\/(a\/(a\/((a*a\/(a\/(a\/a**(2\/61))*a))\/a)*a))*(a**(-4\/7)*a)\/(a\/(a*a*a**(4\/17))) assuming a is positive.\nAnswer: a**(-270785\/7259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Does 4 divide o\/(1\/(3 + 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3190132 is divided by 372?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 6:57 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6 + 3*i - 6. Let k(v) = 4*v**2 - 2*v + 2. Let m(o) = -9*o**2 + 5*o - 5. Let u(t) = 5*k(t) + 2*m(t). What is u(z(g))?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1405785931*b**3 + 196288453*b**2 wrt b.\nAnswer: -8434715586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750920 and 7720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -84, -171, -260, -351?\n\"Answer: -z**2 - 84*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12 + (17 - 11) + 13. What is the closest to 2\/7 in -5, 3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**7\/1680 - l**5\/20 - 4*l**2. Let j(a) be the third derivative of u(a). Let z(c) = 0 - 4 + 4 + 5*c. What is j(z(r))?\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 10*f + f. Let t(m) = m**f - 140*m + 140*m. Let z(y) = -12*y**3. What is 4*t(v) + z(v)?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - k + (21*k + 90 - 90)*(11 - 3 - 1).\nAnswer: 146*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 290935946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -26. Suppose 0*j - 4*j = c. Suppose -5*u - 4*q + 3*q = -47, j = 5*u + 3*q - 51. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*l - 838, 1658 = -4*l - 5*p + 8*p. Let k = 24 - l. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/287 and 37\/410.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 51 = -4*m - d, 0 = 2*m + 2*d. What is the second biggest value in -3, 13.5, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Suppose l + 2*a = 3*l, -k*l + 2*a + 6 = 0. Let d(i) = -i**l + 5*i**2 - 6*i**2 + i**2. Let j(r) = 2*r**2. Calculate d(j(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z**0*z))))**(-2\/65))**22 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.42 to 1 decimal place.\nAnswer: -77.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 293 - 293. What are the prime factors of (-51)\/2*-2*(p - -5)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:58 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*s**3 + 95*s**2 + 2*s - 27?\nAnswer: 48*s + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 16. List the prime factors of (-104)\/(-28) - (-6)\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2983*v - 347*v - 19697 + 41325 + 74942 = 0 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4555 * -299\nAnswer: 1361945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 a, and 1 h when three letters picked without replacement from ggaggaagaah?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 23256*s - 67605192.\nAnswer: -2*(s - 5814)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164 = -4*f + 1152 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -6410.55.\nAnswer: -6415.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/10*(-9)\/6*6\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 - 4*h**2 - h**2)*(1 - 2*h**2 - 1) to l + o*h**2 + t*h**3 + g*h + c*h**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830711 is divided by 479?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-6 - -5) + 23 - 37.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/84, 0.4, 1\/4, 79.7 in ascending order.\nAnswer: -1\/84, 1\/4, 0.4, 79.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 220457*n\/4 + 2866279\/2.\nAnswer: -(n - 220483)*(n + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5220681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j + j)*(-21 - 73 - 17 - 34) to g*j + v and give g.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -2*l**5\/5 - l**2 + 8*l. Differentiate b(u) with respect to u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let u = -0.1083 + -6.8917. What is the closest to -1 in y, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k**2 + 5*k - 18. Let v(q) = -6*q**2 - 3*q + 9. Determine -5*v(y) - 3*w(y).\nAnswer: -3*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 121 - (87 - 102) - (32 + 3)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 43*(-3)\/(-9) + (-12)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*18\/(-117)*25\/(-90).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42611 - -104420?\nAnswer: 61809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 52833700*p**2 - 139570151285465*p + 837419005700670.\nAnswer: -5*(p - 5283367)**2*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.03?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 753410315 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76470\/62153 + 2\/4781. Are 0 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1053) + 0) + (0 + sqrt(1053))**2*5.\nAnswer: -36*sqrt(13) + 5265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v - 431. Let g(o) = 24*o + 862. Give 3*g(b) + 7*h(b).\nAnswer: 2*b - 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8934693 is divided by 458?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.398724 - 240864?\nAnswer: -240861.601276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 834905.52ms?\nAnswer: 0.2319182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24915, -99671, -224265, -398697?\n\"Answer: -24919*h**2 + h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -116*a**3 + 2*a**2 + 4*a - 29. Let s(m) = -116*m**3 + 3*m**2 + 6*m - 30. Let n(i) = -2*s(i) + 3*w(i). Differentiate n(q) wrt q.\nAnswer: -348*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -5, 7 in descending order.\nAnswer: 7, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooopnopozonnozn. Give prob of sequence np.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 32, 47?\n\"Answer: 15*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 2*l + 13. Let b be o(-11). Let c = b + 96. Calculate the remainder when 29 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 253. What is a(-64)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggd when three letters picked without replacement from ddggdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -44 + 10*w**2 + 44 + 4. Let n(u) = -49*u**2 - 21. Calculate -21*h(o) - 4*n(o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4135140 is divided by 2079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -481 and -0.1.\nAnswer: 48.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 19346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 36 - (-495)\/(-66)*26\/(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-23 + 25 + -4) - -14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 + -175. Let u be ((-5)\/(-6))\/(y\/(-2)). Is 1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60934, 121936, 182942, 243952, 304966, 365984?\nAnswer: 427006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 10*v**2 + 8*v - 7. Let i be w(-9). Suppose -520 = -6*r - i*r. What are the prime factors of r?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516903.\nAnswer: 3, 43, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1.2 (c) -2\/33 (d) 18.5 (e) -2\/3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-1 + 3.\nAnswer: -8*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -41 - 79. Let z be (-4)\/(4\/c*3). Calculate the highest common factor of z and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38244526?\nAnswer: 2, 17, 127, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 4. Let j be m(-5). Let b(v) = 2*v**2 + 37*v + 22. Let f be b(-18). Solve 7*u = 3*u + 3*t - j, 3*u = -t - f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 319, 1274, 2859, 5068, 7895?\n\"Answer: -c**3 + 321*c**2 - c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 882\/945*(-26 + 11)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.31 - -2.31. What is the biggest value in -2\/21, h, 0.4, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a factor of 624867947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - -124. Suppose -3*i = -p - 142. Does 35 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 33*c**2 - 228*c - 6108. Determine z(-34).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19183*-5\nAnswer: 95915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 103 - 37 - 29 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*r = 273838 + 761108. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1. Let q(r) = 5*r**2 - 10. Let w(t) = 10*a(t) + q(t). Let j(z) = 5*z. What is j(w(n))?\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4014*s + 4010*s - d + 4, -5*s - 5*d = 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 9*f**2 - f + 11. Let r be h(9). Let c be (-20)\/(-12)*(r - -1). What is the second derivative of y + 3*y - 2*y**c + 0*y**5 + 5*y**5 wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Suppose o*z - 5*x - 19 = 21, -3*x = 12. Sort 4, -1, z.\nAnswer: -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 10. Let l be m(10). Let q be l - (3\/3 - 2). Let f be 4\/(-18)*51\/34. What is the third biggest value in q, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1003 + 372. What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20690873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0.00436\nAnswer: -1.99564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -35735?\nAnswer: 35735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.1135 (b) -0.081 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 + -32 - -33) + -3.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*r + 34 = 2*r, 5*i + 5*r - 50 = 0. What is the third derivative of -11*o**2 - 2*o**2 - 8*o**2 - 13*o**i wrt o?\nAnswer: -1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.516 - -0.024. Let w = h + -3.57. Which is the nearest to 1? (a) -0.3 (b) 2\/11 (c) 2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.91 - 0.09. Let d = p - -2.7. Suppose 0 = -3*t - 9, 4*y + 17 = -y - 4*t. What is the second smallest value in y, d, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -8)\/((-4)\/(-15164)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185.5 - -96. Let c = x + 89.50000409. Round c to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403445 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47067463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1589619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**3*n - 8*j**3 + 2*j**2 + 6931120*j*n - 28674*j + 2 with respect to n.\nAnswer: -4*j**3 + 6931120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-292)\/(-616) - ((-91)\/(-98) - 1). What is the nearest to r in -1\/7, -0.8, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 32*k**2 + 34*k + 34. Calculate a(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 897 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*70.534.\nAnswer: -1481.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**7\/7 + 3*b**3\/2 - 8*b. Find the second derivative of a(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17535867.93ns in weeks?\nAnswer: 0.000000028994490625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 17. Let d = -23 - o. Solve 0*k + d = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.59 - -2.89. Let k = -0.3 + t. Which is the third smallest value? (a) -3\/4 (b) 8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 6*o + z - 5, 3*o - 5*z = -17. Let j = 27 + -7. Calculate the remainder when 34 + o - (-7 - -3) is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88.32199 - -0.02199. Which is the smallest value? (a) -3 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + o + 9, -4*a = -4*o - 12. Let i = 6 - a. Is 48\/i*6\/9 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 30 (c) 16 (d) 1\/10 (e) -5 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 + 7*n**2\/9 - 11*n\/9 - 2\/9.\nAnswer: (n - 1)*(n + 2)*(6*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1380 and 720?\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5)*(-128985)\/168. Let i = k - 1285\/8. Calculate the common denominator of -105\/22 and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188 or -4823313?\nAnswer: -4823313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/28 - 20\/28. Which is the nearest to 1? (a) -4 (b) r (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 52*m**2 - 1. Let s = 25 + -24. What are the prime factors of r(s)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -21*t**2 + 2*t + 79. Let k(n) = -22*n**2 + 3*n + 92. Determine 4*k(o) - 5*w(o).\nAnswer: 17*o**2 + 2*o - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = 22*d - 540. Solve 5*x + d = 2*x - 2*b, 3*b = 4*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 10. Let f(t) = -8*t. Give f(g(r)).\nAnswer: -16*r**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8791 + -5003. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x + 348. What is r(-24)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4121600*s - 8243211*s + 4121614*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225 - 219. Suppose 5*t - 4*s = 14, -2*s + b = -4*t + 8*t. Solve 22 - t = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*f - 89*f + 8690 - 16651 = 0 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:16 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (sqrt(17)*-1)**2 - sqrt(17)).\nAnswer: -30 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g - 130 = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 10. Let f = c - 3. Solve s + f = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d - 2. Let b be k(-2). Let v be b\/4*(-14)\/21. Let c = 2 - v. Does c = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from hqwqh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Suppose -5*n + 20 + 13 = -4*s, 2*s + 19 = a*n. Let o = n + 3. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630694.5 weeks to microseconds.\nAnswer: 381444033600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3631.\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 25)*(3 - 720\/176).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 5:40 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 + 222. What is the third smallest value in c, -28.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -62. Solve -2*a + 5*u = x - 3, -4*a - 18 = -2*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/549)\/(-4 + (-80)\/(-18)). Suppose -5*i - j - 4 = -0, 20 = -5*j. Which is bigger: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 10:41 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 0, -175, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1550 - -1246. Suppose -4*x - 2*k = 422, -523 = 5*x + 2*k - 4*k. Let u = x - p. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -21. Suppose d - 5*j + 12 = 0, -d - 8 + g = 5*j. Solve 4*u - 3 = -d*m, -3*u - m + 3*m = 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 51471 and 3757434\/73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 + 2*c - 5. Let w be t(4). Let m(j) be the first derivative of 0*j**2 - 1\/6*j**w - 1 + 1\/2*j. Determine s so that m(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 102*q**3 - 756*q**2 + 1944*q.\nAnswer: -3*q*(q - 2)*(q + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 197abee?\nAnswer: -197ac09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afxtffaxfftfac. What is prob of sequence xf?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2. Let p(r) = 56*r**2. Let s(c) be the second derivative of 11*c**4\/12 + 28*c. Let k(z) = 4*p(z) - 22*s(z). What is k(v(g))?\nAnswer: -288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 794 divide 1510982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -981, 1, -1, -5 in decreasing order.\nAnswer: 1, -1, -3, -5, -981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 41 - 221 = -0*c. Let g = -254\/55 - -24\/5. What is the third smallest value in -1, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05224813 and 107?\nAnswer: -5.59054991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 - 24*u - 16. Suppose -3*g - 27 = -162. Let c = -41 + g. Let o(x) = -20*x**2 - 95*x - 65. Let k(b) = c*o(b) - 15*l(b). Factor k(i).\nAnswer: -5*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.15 - 2.635. Round k to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/8 + 51*h**2\/2 + 687*h\/2 - 792 = 0. What is h?\nAnswer: -48, -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4713742 to 2 decimal places.\nAnswer: -2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/14 - 160\/(-560). Let o = -53.1 - -74. Let z = o + -21. Which is the nearest to 0? (a) -4 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18))**(3\/4)\/(j**(-20))**(-3) assuming j is positive.\nAnswer: j**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 2*c + 5*y, 2*c = 7*c - 3380867*y + 3380872*y + 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241 + 251. Is 8 a factor of 178\/((10\/3)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/(2\/(-10))*(31304\/390)\/172.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rorroor. What is prob of picking 2 o and 2 r?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 69.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1327519, -1327530, -1327557, -1327606, -1327683, -1327794, -1327945?\n\"Answer: -d**3 - 2*d**2 + 2*d - 1327518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -364, -724, -1084, -1444, -1804, -2164?\n\"Answer: -360*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248851333*b**2 - 262867376*b wrt b.\nAnswer: 497702666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/60 - 11*k**4\/12 + 7*k**3\/2 + 29*k**2. Let i be u(21). Solve -5*z - 2 - 3 = i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1218 - 1218. Let v = -0.3 - -0.1. Let y = -1.1 + 0.1. Which is the fourth biggest value? (a) v (b) 2 (c) y (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -307.2 and -0.0277674.\nAnswer: -307.2277674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1876 and 1880288.\nAnswer: 13162016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 f when three letters picked without replacement from yymkyffkmykyyum.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/12 + 7*q**3\/6 + 3*q**2\/2 - 2*q. Let p be 1\/(((-245)\/(-42))\/35). What is n(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 4, 0.7, 402\/13, 0.17, -65, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13667671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-960))\/((-4)\/(-10) + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/24*315\/(-195)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + 4 + (-26)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344749 smaller than -344754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 203*o - 9946. Determine w(85).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 - 137*n - 829. Determine x(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 70290?\nAnswer: 7028d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 + 22*p**2\/5 + 288*p\/5 - 648\/5.\nAnswer: -2*(p - 18)*(p - 2)*(p + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3547958 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 142 = -5*h, u = -2*u - h - 101. Let f be (-46)\/132 - 6\/u. Which is the third biggest value? (a) f (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6211 + -2686. Is 47 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4808 is divided by 783.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316389, 632759, 949109, 1265433, 1581725, 1897979, 2214189, 2530349?\nAnswer: 2846453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0569 - 0.0069. Which is the closest to 0? (a) f (b) 0.3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -97\nAnswer: -27\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/30)\/((426\/288)\/(-71)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865\/4*t**2 - 132 - 334*t - 25\/4*t**3 = 0 for t.\nAnswer: -33, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8407657, -16815342, -25223027, -33630712, -42038397, -50446082?\nAnswer: -58853767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12511262 is divided by 20714.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 24*a**2 + 25*a. Let m be (2\/(-2))\/(16\/(-400)). Let u be w(m). Suppose u = 10*c - 2*c - 848. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(25\/300). Suppose 3*t - 216 = -g*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 1200 = -25*c. Let a = c - 135. Solve a = 3*z + 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3467 = -87*x + 91*x, -x + 2782 = 4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (-1*(sqrt(91) - (sqrt(91) + 2*sqrt(91))) - sqrt(91) - sqrt(91)) - -3*sqrt(91)*-2)\/(sqrt(112) - sqrt(112)*2*-6).\nAnswer: -5*sqrt(13)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*m - 3*i - 172, 4*m + 18 - 14 - 33 = -m + i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 1, d: 1, l: 3, b: 3, q: 1}. Give prob of picking 1 q and 1 f.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {e: 7, q: 1, i: 8, u: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)\/w)**(2\/7)\/(w*w**(-4\/5))**(3\/22) assuming w is positive.\nAnswer: w**(-148\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1)\/(6\/(-8)). Let n = 32 + -34.3. Let v = n - -1.8. What is the second biggest value in -2\/7, v, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 14.4. What is the nearest to -4 in -0.3, 0.2, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {f: 5, g: 1, w: 11, l: 3}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/798 and 55\/691866?\nAnswer: 691866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.6 take away -0.1?\nAnswer: -51.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -24940, -0.1, -1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22396 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 15 - 11)*(-5*q**4 - 5*q**4 - 4*q**2 + 2*q**2) as i + w*q**3 + f*q**2 + b*q + g*q**4 and give g.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -3 - (-2 - 1). Let n(t) = 2*t**3 - 6*t. Let p(g) be the third derivative of -g**4\/24 - 8*g**2. Give q*p(z) - n(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (140\/(-15))\/((-4)\/(-6)). Let m = l + 32. Let z be m\/(-8) + 2 - (-136)\/32. Solve 4*n - z = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 15*k**8\/56 - k**4\/4 - k. What is the third derivative of t(h) wrt h?\nAnswer: 1800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1\/21 (b) -5 (c) -3 (d) 0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 + 649*q**2 - 1827*q - 64538. What is d(213)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16493*(7\/7 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25501 minus -0.4?\nAnswer: 25501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43, 21, -31, -113, -225?\n\"Answer: -15*c**2 + 23*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -0.1 (c) -19 (d) -22 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/(-294))\/(68\/(-51)*3\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 3*i - 3 + 14, 3*i - 3 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 - 8*k**5 - 12*k**5 - k**5 + 2*k**5 + 0*k**5 + (-12*k**4 - 3*k**4 - 5*k**4)*(3*k - 6*k + 0*k).\nAnswer: 45*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-7)\/63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 1, -1.21, 4, 8?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -60*s**3 + 21*s - 21. Let y = 1357 - 1336. Let q(x) = 15*x**3 - 5*x + 5. Determine y*q(o) + 5*d(o).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 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: Collect the terms in 247314532*s - 247314532*s + 0*s**2 - 23*s**3 + 0*s**2.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 88\/10 - 2\/(-10). Suppose -4*f + a*f = -15. Put 2, 1, f in descending order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -641*z**6\/120 - 707*z**4\/24 + 2*z**2 - 55*z. Find the second derivative of t(l) wrt l.\nAnswer: -3846*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 403 + -401. What is the nearest to 1\/4 in t, 2\/7, -5, -0.13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -112*z - 13. Let n(d) = -225*d - 27. Let x(h) = 13*a(h) - 6*n(h). Let y be x(3). Let o = y + 455. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-975)\/45 + (-5)\/45*3)\/(-2). Solve c*r - 9*r = -5*l + 8, -16 = -4*r + 5*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/2 + 25*v**3 - 263*v**2\/2 - 11100*v + 98568 = 0 for v.\nAnswer: -37, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 - -0.3\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 147980c + -10?\nAnswer: 14797cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035535 to five dps.\nAnswer: -0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4181 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -5\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16517946 and 2928.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - 13*t as h*t + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1402639 and 6795?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v + 8995 = -151*v + 75*v - 3437 for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -250, -374, -498, -622?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/130 - 5\/((-390)\/12). What is the third biggest value in -10, 1\/4, c, -3\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:32 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/((296\/(-36) - -7) + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 3*i + 3*i + (0 + 1 - 3)*(4*i - 4*i - i) - 4*i - 3*i + 4*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2170, 4336, 6500, 8668, 10846, 13040, 15256?\n\"Answer: o**3 - 7*o**2 + 2180*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, u: 4, t: 4}. Give prob of sequence tnnt.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 127487*y + 892405. What is c(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.632 to the nearest integer.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 8. Let d be k(8). Let n(y) = -d + 24 + 14*y + 25*y. Let x(u) be the third derivative of -u**4\/12 + 2*u**2 + 282*u. Calculate x(n(f)).\nAnswer: -78*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -38 - (14 - (2 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 45 = 3*m. Is 10 a factor of (40\/(-6))\/(3\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 50 - 3*j**2 - 14 + 3*j.\nAnswer: -3*j**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.3 (c) 0.7 (d) -284 (e) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*u + 139*u - 2380 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z. Let d(p) = -5*p. Let u(x) = 4*d(x) + 9*t(x). Suppose -5*l + 24 = 4*s - l, 0 = 3*s + 4*l - 15. Let n(w) = -7*w - 1 + s*w + 1. Give n(u(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/22*495\/1350. Let r be -3*2*1\/(-6). Let v be (-3)\/2 + r\/(-2). Which is the second smallest value? (a) s (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49973 and 41536.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*w**2 - 1850*w - 160.\nAnswer: -5*(w + 16)*(23*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -0.4 (c) 1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 598\/18 + (-12)\/54. Let y = v + 0. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = 13*w - 110. Let f(r) = r**3 + 11*r**2 + 22*r + 3. Calculate the remainder when f(w) is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*t**3 - 43*g**3 - 5*g*t**3 - 82*t**3 + 26*t**2 wrt t.\nAnswer: 12*g**3 - 30*g - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 29*i**2 - i + 35. Let a be f(29). Solve 4 = -2*l + a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 25299.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149520801 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*i + 17, 3*b = -23*i + 20*i + 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211100002011 - -2?\nAnswer: 11211100002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-2*(1 + 0). Let m(h) = 0*h**2 + 2*h**2 - 17*h + 1 + 18*h. Is m(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 41287\/(-12832) + -1 - -5. Let y = 1\/802 - d. Find the common denominator of y and 17\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**48\/(d\/(d**(2\/7)\/d))**(3\/17) assuming d is positive.\nAnswer: d**(11388\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000029612 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580190.\nAnswer: 2, 5, 13, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5 + 340495*c**4\/3 + 6505132*c**3 - 25841552*c**2 + 65018752*c\/3 + 6163440 = 0.\nAnswer: -61, -2\/9, 2, 37890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*n, 5784*x - 5785*x - 7 = 3*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9 - 1 + 3 + 0 - 17*m. Let o(s) = 11*s - 7. Determine 5*l(k) + 8*o(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 684, 999, 1312, 1623, 1932?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(15\/4)\/n)\/n*n**(-13\/4)*n assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 3184*s**3 + 2512078*s**2 + 35638512*s + 125283249.\nAnswer: (s - 1599)**2*(s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s + 7*s)*(1 - 1 + 1 - 3*s**2) + 2*s**3 - 3*s**3 + 3*s**3.\nAnswer: -19*s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 358 + -354. Suppose -2*p + 2*v = -w, -p + 4*p = -2*v - 19. Let j(r) = r**3 + 2*r**2 + r - 3. Give j(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9)*((-405)\/315)\/((-2)\/4)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 - 22*n + 8. Determine t(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*k - 53*k - 60*k - 53*k - 59*k.\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -h + 71, 5*h + 7*m - 2*m - 430 = 0. Let b(g) = 55*g - 177. What is the remainder when h is divided by b(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 49. Calculate q(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -41, -55, -59, -47, -13?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117743780 - 183.\nAnswer: 117743597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11941981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367.2222 millilitres to litres.\nAnswer: 0.3672222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92757906535 + 92757906535 + 18*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 54*d**3 + 14*d**2 + 9*d - 58. Let h(t) = 19*t**3 + 5*t**2 + 3*t - 18. Let f(y) = -17*h(y) + 6*v(y). Calculate f(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1\/183567?\nAnswer: 1\/183567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 e, and 1 t when three letters picked without replacement from {z: 5, h: 1, n: 3, i: 3, e: 1, t: 6}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 19*z. What is the tens digit of s(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3932228 by 6.\nAnswer: -1966114\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, a: 1, y: 5, r: 1, p: 2, t: 3}. Give prob of picking 1 y, 1 v, and 1 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 16) in base 3?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (25 - (24 + 22 + -20)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 28. Let c = d - 41\/2. Is c bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-852)\/16 + (-6)\/8. Let r be (4\/6)\/(2\/k). Does 6 divide (-12)\/r + 34\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 5*j - j)*(j + j - 3*j)*(4*j - 4*j + j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(405))*-3)**2.\nAnswer: -324*sqrt(5) + 3681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/3 + 3901*c**4\/6 + 945731*c**3\/6 - 2625439*c**2\/6 + 399187*c\/2 + 79707 = 0.\nAnswer: -489, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363374 is divided by 13233.\nAnswer: 6083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/2654 + -104821\/10616. What is the common denominator of f and -41\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavxxto. Give prob of sequence atao.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + 0 - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435 (base 7) to base 8.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93 - 93 + 20*g**2)*(3 - 3 + 1 + (0 + 0 + 2)*(0 - 1 + 2) + 1 - 5 + 3).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 887*g + 339858. Give q(-383).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 - 3*b**2 - 3*b. Let c be i(-3). Let r be (c\/4)\/(-3) - 1. Let a be -5*49\/(-35)*-1. Is a at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/(-6) - -5)*73. Let m = 653\/18 - z. Sort 0.2, -35, 5, m.\nAnswer: -35, m, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16446 + -16633.73. Let q = 198.6 + v. What is q rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 6262856?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 18, 33?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(1450\/1920) + (-12060)\/402.\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634381624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:37 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.032, 89599, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32709?\nAnswer: 3, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*h + 152*h - 665*h + 184*h.\nAnswer: -137*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - (25 - (86 - 42))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 27*u**2 + 308*u + 4238. Determine k(-13).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 4*x**4 + 2812*x**3\/3 + 10400*x**2 - 5376*x - 10302. Factor d(c).\nAnswer: 4*(c + 8)*(c + 168)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1403 - 1401. Is 150\/49 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/215 + 25537\/860. Let x = 30 - u. Factor 1\/4*b**5 - x*b**3 - 1\/4*b**4 + 1\/4*b**2 + 0 + 0*b.\nAnswer: b**2*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f - 9 = 0. Suppose 0 = -i + 1, 1400 = 3*k - f*i + 284. Suppose -k = m - 2*m + 2*g, 0 = -3*m + 2*g + 1119. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -35*f**3 - 8*f**2 - 4*f + 8. Let b(g) = -23*g**3 - 5*g**2 - 3*g + 5. Let n(t) = -8*b(t) + 5*w(t). Find the second derivative of n(q) wrt q.\nAnswer: 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/246 and 179\/60360.\nAnswer: 2474760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 17. Let v = y + 13. Calculate the smallest common multiple of v and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633014704 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.3 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -798, -777, -730, -645, -510, -313, -42, 315?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -36001.95?\nAnswer: -72003.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*u - 8, -1 = 5*u + i + 2. Let g(f) be the first derivative of 4\/3*f**3 + 0*f**2 + 4 + 0*f. Calculate g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 21*n**3 + 16*n**3 + 24.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 375*u - 1647 - 531 = 510 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 15. Calculate h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 90 - 334. What is the remainder when (-105212)\/(-348) + (4\/16)\/((-3)\/4) is divided by l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 q when three letters picked without replacement from {i: 4, x: 4, y: 1, l: 5, q: 1, n: 4}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + v - 8)*(-35*v - 12*v + 14*v) + (-2*v**2 + 2*v**2 - v**2)*(0 + 5 - 4) to n*v**2 + o + f*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 19*f - 16. What is m(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 3*n - 9 = 0, 7*n = -4*f + 6*n - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2219, 2\/9, 1\/3 in descending order.\nAnswer: 2219, 4, 1\/3, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 553*g. Let t(c) = -8*c**2. Determine i(t(y)).\nAnswer: -4424*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38862 and 9622.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/(4\/(-18)). Suppose -l*j - 2 = -8. Let n(m) = m**2 + 6*m + 3. Let h be n(-2). Put -1, h, j in descending order.\nAnswer: j, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00959834 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66480220 is divided by 2598.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 705706.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -165*o**5\/4 + 1145*o**4\/12 - 335*o**3\/6 + 15*o**2\/2 - 3403*o - 1. Determine a so that q(a) = 0.\nAnswer: 3\/55, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10203101 (base 4) to base 3\nAnswer: 221120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*b - 4 - 436*b + 876*b + 0 + 5.\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122*d**4 - d**2 + 52*d - 38894.\nAnswer: 488*d**3 - 2*d + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 51, 36, -4 in decreasing order.\nAnswer: 51, 36, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 29. Let c be t(5). Suppose -4*g + 8*y - 3*y = -191, -c*g - y = -221. Calculate the remainder when g is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 40 = -4*m, 3*m + 29 = 2*z + 6. Let v be (-31230)\/(-75) + 3 + (-3)\/m. What is the highest common divisor of 168 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -622, -620, -618, -616, -614?\n\"Answer: 2*y - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1261442 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 11\/234 (b) 2 (c) 7\/2 (d) -0.3 (e) -3 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 9. Let v(o) = o**3 - 25*o**2 - 54*o + 7. Let z be v(27). What is a(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839265639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1271)\/403 + 6\/39. Let n(d) = -2*d - 6. Let h(g) = -5*g - 12. What is y*h(w) + 7*n(w)?\nAnswer: w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -164873696 divided by 22688\nAnswer: -7267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 158285319*b*o**2 - 378556889*o**2 wrt b.\nAnswer: 158285319*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/6 + 5*h**3\/6 + h**2 + 3*h. Let p be i(-3). Let g = 16 + p. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23426.\nAnswer: 2, 13, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 5373 - 6549 = 0 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7015866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(968))**2 - (-2*sqrt(32))**2).\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3*(-36256)\/(-4120)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000140376 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -5, 2, -137, -4 in increasing order.\nAnswer: -137, -6, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17586101 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-632)\/17696)\/(1\/(-2))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 14. What is the remainder when 53*(2 + (-1)\/1) is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*84\/63. Let q(y) = -y**3 + y**2 + 3*y. What is the lowest common multiple of q(k) and 14 + -1 + 3 - 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4683, -4645, -4477, -4113, -3487, -2533, -1185, 623?\n\"Answer: 11*f**3 - f**2 - 36*f - 4657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 47674 = m + 8*m. What are the prime factors of m?\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58611818, 234447266, 527506346, 937789058, 1465295402?\n\"Answer: 58611816*b**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j. Let q(d) be the first derivative of d**4\/2 + d**3 - 2*d**2 - d + 10. Calculate -3*g(x) + q(x).\nAnswer: 2*x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 66.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116757153?\nAnswer: 3, 4324339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 48572122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 11 = w - 27*o + 27, -21*w - 11 = -4*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4693719387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -3 (b) -4 (c) 0.1 (d) -8.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -282732, -282953, -283174?\n\"Answer: -221*f - 282511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*y + 4. Let g be (-3)\/((-3)\/(-1))*y. Put -3, -2, g in decreasing order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -892 + 891.9. Sort 2, -5, 7.2, k in decreasing order.\nAnswer: 7.2, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1617822 - 37?\nAnswer: 1617774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 2991983?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 - 4*c - 1. Let y be p(5). What is the first derivative of -y + 10*u + 0 - 8*u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/(-4))\/13 - 1*12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 434*k**6*s**2 + 356988*k**3*s**3 - 322886917*k**2*s + k*s**3 wrt k?\nAnswer: 52080*k**3*s**2 + 2141928*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 515?\nAnswer: -4\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1324 - 1329. Let y(r) = 2*r**3 + 19*r**2 + 3*r + 19. Let i(b) = b**3 + 9*b**2 + 2*b + 9. Let s(l) = 7*i(l) - 3*y(l). Determine s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/9)\/((-63)\/271593) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 6 - 10)*(5*w**4 - 6*w**4 - 8*w**4) in the form r*w + i + s*w**2 + h*w**4 + p*w**3 and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/(-522))\/((-2)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 take away 44692681?\nAnswer: -44692944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552325.\nAnswer: 5, 31, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/5)\/(27\/10 - 3). Solve 16 - r = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2 + i - 1. Let o(m) = -8*m**3 + 6*m**2 - 6*m + 6. What is -o(v) - 6*r(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14460302 is divided by 199.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5802002.\nAnswer: 2, 2901001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/4*2\/(-3). Which is the second biggest value? (a) 1\/2 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 109800328?\nAnswer: 1207803608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/120 + x**5\/12 - x**4\/3 + x**3\/2 - x**2. What is the tens digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*((-54)\/(-20))\/((-6)\/(-8)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 330109?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:27 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 4*q - 3*q - h = 0. Suppose 3*p - 8 = -a, -a + 17 = q*a - 3*p. Solve a*j - 4*r = -1, 5*j + 0*r = r - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2884 - -0.263143. What is r rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 3*y**3 - 3*y**5)*(63 + 5 - 20).\nAnswer: -144*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*q**3 - 13 + 13)*(1630*q + 1583*q - 3097*q).\nAnswer: -2668*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -326313 - -14358527\/44. Let p = -120\/11 + f. Calculate the common denominator of p and -81\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116\/29*-3*(-2)\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 3*k - 4. Let j be s(-6). Let i be (-4)\/(-6) + j\/6. Which is bigger: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10*y + 2285 = 5*s, 3*s + 5*y - 1337 = 0. What are the prime factors of s?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3819 + -114551\/30. Let p = 28\/15 + x. Calculate the common denominator of 95\/4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39543 is divided by 374.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-144)\/288)\/((-3)\/(-2)). Let w = -0.8 - -1. Let y = w - 1.2. Which is the fourth smallest value? (a) y (b) o (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23e + -105068?\nAnswer: -104d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 246*q - 10165. Calculate x(43).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60134 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 + 263*z + 2. Give x(-12).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145203212 + 10?\nAnswer: 145203222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2 + (-16)\/(-10)). Let c = -5 + i. Suppose -3*f = -2*f + 3*m - 14, -3*f - 3*m + 18 = c. Solve -9 = -4*u + k, u + 3*k + 3 = -f*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*k + 170*k + 176*k + 174*k + 179*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - 55.2. Let q = 2023.5972 - 2036.4. Let z = c + q. What is z rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(5948 - 5948 - 65*p**3).\nAnswer: 130*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (26 - (-2135)\/(-105))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11111?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 7, v: 7, c: 3, i: 2}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 262 = -3*c, -l = -0*l + 2. Let w = c - 65. What is the highest common factor of w and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-70)\/8))\/((36720\/210)\/36)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1521 + 3.664. Let p = -0.74281 + b. Let z = p - -0.23. What is z rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403735.05 rounded to the nearest 1000?\nAnswer: -404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + (1 - -87)*1.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676162*x + 676162*x - 1112120*x**2 + 1112120*x**2 - 2*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 7 - (1 + 1 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 11286 = -3*p. What is the remainder when p is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 782637, 782636, 782635, 782634, 782633?\nAnswer: 782632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Suppose -3*z - 5*n = -z - 5, -o*n + 2 = z. What is the first derivative of -2*g**4 + 1 - 3 + z*g**4 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3\/5, -0.08, 0.01, -84.\nAnswer: -84, -0.08, 0.01, 1\/3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/((-4204125)\/(-175))*6\/(-7).\nAnswer: -2\/505","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64295952*s - 64295821*s = 17161 for s.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139573067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 16. Let p = 7.94 + 0.56. Let r = p - 4.5. What is the second biggest value in s, -2, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -441 < -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*a**3 + 2258 - a**2 - 2304 + 727*a**3 + a**2.\nAnswer: 1155*a**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from {h: 3, r: 9, t: 2, b: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -56512737\nAnswer: -56512732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 4*q + 5*k, 42 = -4*q + 5*q + 3*k. Suppose -12*c + q = -6. Solve -2 = 5*m + c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 99. Solve -3*r + 4 = -t, -l*r - 2*t + 16 = t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100.154 + 0.154. Let p = m + 99.914. What is p rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 179?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(5 - 85 - 6). Let a = c + -46. Calculate the greatest common divisor of a and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/60 + 3*g**4\/8 + 2*g**3\/3 - 19*g**2. Determine d(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*f = 74, 35 = 4*x - 4*f - 37. What is the remainder when 73 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/((-2)\/(-6)). Let i be 1\/t - (-39)\/(-6). Let g be 0\/4 - (-1)\/i. Sort 0.5, g, -0.05 in ascending order.\nAnswer: g, -0.05, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1968 and 11\/48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 212861 to the nearest 1000.\nAnswer: 213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1539) - (sqrt(19) - sqrt(57)\/sqrt(3)*-6 - sqrt(19)).\nAnswer: -1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*r + 2, -5*k + 11 = 5*r - 9. Let y(a) = -4*a**3 - a**2 + 1. Let f be y(r). What is the least common multiple of 12 and (f - 0) + (1 - -11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h + 2*h + 6*h**2 - 8*h**2 to the form w*h + c + l*h**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 + 46 + 60 + -83?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.064 - -0.906. What is w rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4\/8 - 437*x**3\/2 - 7623*x**2\/8 - 1177*x\/2 + 1761\/2 = 0?\nAnswer: -3, -2, 2\/3, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 852, 861, 870?\n\"Answer: 9*g + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 91. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i. Let l(s) = -5*s**2 + 4*s + 4. Let g(t) = 4*t**2 - 3*t - 3. Let r(h) = 4*g(h) + 3*l(h). What is r(k(u))?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-four fifths of a hour?\nAnswer: 31680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -61. Solve -a = b*c - 12, -2*c + c = -a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 3:26 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101000042 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - 9\/10. Let x(t) = -t + 7. Let s = -15 + 22. Let w be x(s). Which is the nearest to h? (a) w (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*l + 10 + 8 = 0, 18 = -5*i - 2*l. What is the nearest to 1 in 2\/9, -1\/3, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(270))\/(sqrt(10) - 1*sqrt(360)) - (4*-2*sqrt(243))**2*-4.\nAnswer: -6*sqrt(3)\/5 + 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 11*q + 12. Let f be z(15). Suppose 3*p + f = 78. Solve -10 = -p*d - 2*l, 0 = -2*d - 2*d + 2*l + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*(-4860)\/(-3780)*97\/(-3)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(51) - sqrt(153)\/sqrt(3)*2)\/(4*sqrt(27)\/sqrt(9)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2 + 4*r - 70. What is b(0)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.42? (a) -0.5 (b) -2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88551, -177193, -265835?\nAnswer: -354477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27379\/20 + 1368. Let z = -138\/41 + 1489\/820. Calculate the common denominator of z and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + 4 - 1 - 2 + (1 + 2 - 5)*(1 - 4 + 2) + 1 + 1 - 3 - 3 + 0 + 1 + 2 + 2 - 5 + 1 + 1 - 1)*(4*l**3 + 2*l**2 - 2*l**2).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + y**2 - 151 + 151.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 + 3 + 2*r - r. Let x be f(8). Factor 11*a**2 + 2*a**5 + 38*a**3 + 10*a**2 + 8 + x*a**4 + 29*a**2 + 6*a**4 + 32*a.\nAnswer: 2*(a + 1)**3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1036971770 + -0.05432.\nAnswer: -1036971770.05432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -23*o + 14. Let i be b(-4). Let s(d) = -3 - 7*d**2 + 59*d + 53*d - i*d + d**3. What is s(4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -38*y + 26. Calculate o(-2).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 14*p**2 - p + 28. Let d be ((-14)\/5)\/(3\/(-45)*-3). Let y be l(d). Find the third derivative of 42*i**3 - 5*i**5 - 8*i**2 - y*i**3 wrt i.\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.16, -4, -3\/73 in descending order.\nAnswer: 0.16, -3\/73, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 (base 6) in base 13?\nAnswer: 1c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 197 and 107759?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1248 and -113\/20202?\nAnswer: 323232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z = -45784 + 45406. Suppose 0*n = -4*r + 5*n + 58, 5*r - 4*n = 77. What is the remainder when r is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -21, -16, -11, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -10 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4\/4 + z**3\/3 + z**2\/2 - 12*z + 66. What is w(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -158\/5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 59182*k - 118226. What is x(2)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 268760?\nAnswer: 5912720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 16*g**2 - 13*g - 35. Let m be w(15). Sort 6\/11, m, -2 in decreasing order.\nAnswer: 6\/11, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w + 79 = 5*x, 3*x - 2*w = 47. Let u be ((-12)\/(-20))\/(1\/x). Suppose 12 = -8*t + u*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s - 3197 + 2812 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/5 + 2230084*o**2\/5 - 892036*o + 2230092\/5.\nAnswer: 4*(o - 1)**2*(o + 557523)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/529 - -39292\/23805. What is the common denominator of -89\/60 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -3\/4 (b) 1 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132443 (base 9) to base 4.\nAnswer: -103222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 5)*((-28)\/(-42))\/(-3 - (-7)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24764506 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3709445486?\nAnswer: 2, 67, 541, 51169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmggd. What is prob of sequence mgmd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 55*n. Let j(t) = 9*t. Give x(j(y)).\nAnswer: 495*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 20. Let y be m(0). Let q be 87\/285 - 4\/y. Which is the second biggest value? (a) 3\/2 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-7))\/5*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26.11 * 5\nAnswer: 130.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*a**5 - 5241*a**4 + 35502*a**3 + 6948*a**2 - 3240*a = 0. Calculate a.\nAnswer: -2\/5, 0, 2\/9, 9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Let y = -1 + u. Is (5 + y)\/(-3) - -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*s**4 + 42*s**6 - 33*s**2 - 18*s**6 + 139*s**4 wrt s.\nAnswer: 2880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from {x: 5, f: 13}.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:06 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7489*u. Let f(g) = -g. What is n(f(o))?\nAnswer: -7489*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8*z = 150. Suppose -4*d - 505 = -2*n + 77, -3*n - 4*d = -903. Calculate the remainder when n is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(4) - sqrt(8))*6 - sqrt(8) - sqrt(8))\/(-2*sqrt(324) - sqrt(4)).\nAnswer: 2*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 3*m**6\/4 + 71*m**5\/12 + 8*m**2 + 3*m. Find the third derivative of c(d) wrt d.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3978 and 7\/7191?\nAnswer: 186966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*24\/18*(-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 12*t - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 66, 100, 134?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1064? (a) 103 (b) -0.002 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 5*o**2 + 6*o - 8. Let i be ((-1)\/(1\/(-2)))\/(8\/(-24)). What is d(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t - 2*i + 464 = -34*t, 3*i - 923 = -2*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -435, -887, -1339, -1791, -2243?\n\"Answer: -452*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(4500) - 2*sqrt(4500)) + sqrt(45))\/((sqrt(9) - sqrt(9)*-2)*2).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16309*q + 1369946. What is c(-84)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-15)\/6*2)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b + 22. Let s be d(-12). Suppose -4*j - 42 = -s. Differentiate -8 - 15*i - 3 + j wrt i.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (64\/(-40))\/(4\/(-50)). Let r = 38 - l. Suppose -2 = -5*c + r. Sort 1, -2, c in decreasing order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.7 in -20, 2\/9, 1, 0.3, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.3. Let i = 0.2 - f. Suppose 8*l - 12*l - 20 = 0. Which is the nearest to i? (a) l (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.138, -1, 668\/23 in descending order.\nAnswer: 668\/23, -0.138, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j*j*j**(3\/7)*j**(-6)\/j**0 assuming j is positive.\nAnswer: j**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33368031 divided by 5\nAnswer: 33368031\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 4. Let w be f(-3). Let i = -4 - w. Suppose -2*u = -2 - i. Solve u*r - 2*x = 5, 4*r - 1 - 8 = 5*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 9) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.6 or -65.57?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002490998 to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 529618963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmpkpeakkkkmkkmkpkmm. What is prob of sequence amk?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from rwwrwrwwrrfrrwwrrqw.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/14 and -57\/1724.\nAnswer: 12068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5 - 14*u**4 + 38*u**3 - 50*u**2 + 32*u - 8 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - 0. Let t = 235\/618 - 29\/618. Which is the smallest value? (a) t (b) 0.03 (c) 2\/9 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let j(g) = 28275*g - 406. Let y(x) = -280*x + 4. Let w(a) = 4*j(a) + 406*y(a). Give l(w(k)).\nAnswer: 672800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -5*t**8\/84 - 5*t**4\/8 - 9*t**2. Find the second derivative of o(l) wrt l.\nAnswer: -400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/4 - c**3\/3 - 5*c**2\/2 - 4*c + 72. Calculate t(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c - 2. Which is greater: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 1161, 2629, 4643, 7179?\nAnswer: 10213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssbb when four letters picked without replacement from sbsb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-198))\/((-6)\/(-378))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002821809 rounded to seven dps?\nAnswer: -0.0002822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -412*g + 5053. Calculate the remainder when 6101 is divided by i(12).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.133 smaller than -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.2 (c) -300 (d) -697522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5 - 2 + 781*d + d**2 + d**2 - 778*d + d**3. Let n = 1 + -3. Determine z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**5\/5 - 8*n**4 + 31*n**3\/3 + n**2 - 57. What is the third derivative of o(r) wrt r?\nAnswer: -24*r - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36403*r + 36403*r + 36*r**2 - 5 to the form a*r + i + p*r**2 and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 - 5270*k**3 + 269760*k**2 - 523690*k + 259205 = 0. What is k?\nAnswer: -1103, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 370245?\nAnswer: 370245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 3. Let t(u) = -10*u - 14. Let o(v) = -16*p(v) - 3*t(v). Calculate the smallest common multiple of 10 and o(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 o, and 1 c when four letters picked without replacement from uorcuhrh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2*(346946\/(-4))\/((-1)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d + 4. Let i(a) be the first derivative of -11*a**2\/2 - 3*a - 185. What is -4*i(c) - 3*x(c)?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248433.\nAnswer: 19, 65707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3402) - (sqrt(3402)*3 - sqrt(3402)))*-4)\/((sqrt(12)*-2)\/sqrt(2) - (sqrt(72) - 5*sqrt(72))\/sqrt(12)).\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-3 - -11) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -452 - -729. Let l = w + -272.21. Round l to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-2992)*-17)\/(2\/11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 11*o**2 + 8. Let h be q(11). Suppose 1600 = -4*c + h*c. What is c rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m**2 + 2*m - 3. Let h be w(-3). Suppose 69 = 4*t - h. What is the remainder when 70 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/4 - z**3\/3 + 9. Factor v(u).\nAnswer: -u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:38 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yshthpyeppphhpphehey. Give prob of picking 1 h, 1 t, and 1 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111110001 (base 2) in base 11?\nAnswer: -838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17*h - 66. What is the remainder when 17 is divided by y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 26449668.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = -59*v - 35*v - 1392 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494861 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14499, 14418, 14333, 14244, 14151, 14054?\nAnswer: 13953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -4. Let v = 526.9 - 524.9. Which is the second biggest value? (a) v (b) 1\/9 (c) 3\/5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:29 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/(-6)*-6*(-1934)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/27 + (-856)\/6. Suppose 6*t = 3*t + 2766. Let i = d + t. What is i rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.05, 0.8, -1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/v**(-1\/4))\/(v*(v\/v**(2\/7))\/v))\/(v**(-2)\/v**10))**(-27\/5))**13 assuming v is positive.\nAnswer: v**(-133029\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.57 - 5.4. Let t = y + -0.38. Is t < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-48)\/(-288))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1293868 and 12427742?\nAnswer: 13721610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0 + 1\/120*u**5 - 1\/48*u**4 + 1\/240*u**6 - 1\/12*u**3 + 0*u + 4*u**2. Factor w(a).\nAnswer: (a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 6, -2*w = -171*s + 174*s - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y - 5*y**3 + y**2 - 24 + 6*y**3 - 13*y**2. Suppose -4*q = -6*q - 8, -32 = -4*r - 5*q. List the prime factors of i(r).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, f: 2}. Give prob of picking 3 d.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25022237 and -723872.\nAnswer: 24298365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 - -57 - -49) + (-1079)\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u + 2. Let i(x) = x**2 + 1. Calculate -3*i(g) + k(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 417*l - 39. Let p(r) = -4*r + 3. Let u(i) = -3*p(i) - s(i). What is the first derivative of u(q) wrt q?\nAnswer: -405","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {a: 1, s: 1, l: 1, u: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from vttctvvtt?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*t + 2*t**2 - 4*t + 13*t - 6*t**4 - 11 wrt t.\nAnswer: -72*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5688*y**3 - 6*y**2 + 37*y - 82. What is the thousands digit of g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1489894.309\nAnswer: -1489887.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -1530\/11, -17, 4 in decreasing order.\nAnswer: 4, 0.7, -17, -1530\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -10. Let z = -205403395\/30032856 - -2\/536301. Let g = -57\/8 - z. Do w and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 21*i - 45. What is n(22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7 = 19. Let o(b) = b**3 - b**2 - b - 3. Calculate the remainder when o(h) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -485246160 from 5.5506.\nAnswer: 485246165.5506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 1 - 5 - 8*o + 7*o - 15 + 3*o.\nAnswer: 2*o - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -1032, -1515, -1998, -2481?\nAnswer: -2964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*g = 35, 2*q + g + 2 + 0 = 0. Let l be 4\/36*q*6. What is the remainder when (-35)\/l*48\/40 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131979.8 decades in years?\nAnswer: 1319798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*c + 12. Let y = -487\/4 + 2241\/20. Find the common denominator of 260\/24*c\/(-10) and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14662413 (base 7) to base 16.\nAnswer: -1584e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 8*x - x**2 - 3*x**2 + x**2.\nAnswer: -3*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 7 (b) -4 (c) -3\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 25, 89, 205, 391, 665?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 926, 1894, 2918, 4028, 5254, 6626, 8174?\n\"Answer: 5*x**3 - 2*x**2 + 939*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 9*x - 13. Suppose -r - 15 = -6*r. Let d(t) = 2*t**2 - 8*t - 12. Let n(z) = r*q(z) - 2*d(z). Is 2 a factor of n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -8 in decreasing order.\nAnswer: 5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2*-2 - 2060\/(-5). Let a(j) = 410 - j + 2*j**2 - n + j. Let h(z) = -z + 211. Give a(h(b)).\nAnswer: 2*b**2 - 844*b + 89042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 11. Let h(k) = -2*k - 2. Let a be h(p). Let t(w) = w**2 + w - 65. Let g be t(-9). Solve -g = 5*o + a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + y**2 + 2*y**2)*(-12*y**3 + 10 - 10).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/2))\/b**(-1\/8))\/(((b\/((b*b\/b**(1\/6))\/b))\/b)\/b**(1\/5)))**31 assuming b is positive.\nAnswer: b**(6169\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z - 5. Sort -6, z, 4, -2\/7 in increasing order.\nAnswer: -6, z, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngp when three letters picked without replacement from {n: 3, p: 3, g: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4672*b**4 + 2155 with respect to b.\nAnswer: 18688*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 897984 and 165.\nAnswer: 49389120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972662 is divided by 3242?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -461, -443, -407, -347, -257?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -29622 (b) 1 (c) 1\/146 (d) -0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(720) + 2 - (4 + sqrt(720)*1)) + 2 + (sqrt(720) - -6*1*sqrt(720) - sqrt(720) - sqrt(720))**2)*-1.\nAnswer: -18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107317658*d**2 - 73*d - 319970 wrt d?\nAnswer: -214635316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.449 - -0.211. Let d = 0.472 + k. What is d rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -10. Suppose -a - 4*o = -2*o - c, 0 = 5*a + 2*o - 46. Let r be 1\/(-4) + a\/8. Put r, 0, 4 in increasing order.\nAnswer: 0, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -49. Let n = -4\/9 - 34\/45. Sort -1\/3, l, n, 3 in decreasing order.\nAnswer: 3, l, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(1 - -1) - -3. Find the second derivative of 24 - 11 - b*x - 13 - 3*x**5 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 4*t**2 + 3*t + 4. Let m be w(3). Let p = 46576 - 46572. Solve 0 = -p*b - l, 0 = -m*b - 6*l + l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3*c)**(-1\/4)\/(((c\/c**(-6))\/c*c*c)\/(c*c*(c\/c**(-2\/5))\/c)) assuming c is positive.\nAnswer: c**(-137\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4529814162 less than -0.2?\nAnswer: -4529814162.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 5, r: 6}. What is prob of picking 1 m and 1 b?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 32?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -14325, 3, -0.26, -3, -4, 1 in ascending order.\nAnswer: -14325, -4, -3, -0.26, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90)\/(-225) + 23\/(-20). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/2 + -3)*20\/25. Factor 12 - 7 - 64*n - 8*n**3 + 23 + 44*n**y.\nAnswer: -4*(n - 1)**2*(2*n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (223\/(-2899))\/(4\/(-26))*-44\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*q + 4*k + k, 0 = 5*q + 4*k - 18. Let x(g) = -11 + g**2 + 9*g - 4 + 0*g**q. List the prime factors of x(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from jkgijgggjki.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.3 (c) 3\/16 (d) -16\/13 (e) 0.18 (f) -1\/4 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 54. What is the lowest common multiple of h and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 185*t**2 + 1370*t - 1560.\nAnswer: 5*(t - 1)*(t + 12)*(t + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a - 2)*(-6*a - 4*a + 5*a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-90)\/15)\/(6\/(-4)). Let d = 2 - -2. Let v = d - 1. Sort w, 5, v.\nAnswer: v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 194.86534\nAnswer: 3507.57612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205377 and 2499?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2\/6 + 15*o - 91\/6 = 0.\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 - 114 - 110 + 63*m**3.\nAnswer: 63*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = 45. Is ((-161)\/(-21))\/((-3)\/a) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-5) + 69\/(-115). Suppose 2*b + 4500 = -0*b + z*k, -8976 = 4*b - 4*k. Round b to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*m + 9 = 0, 0 = -5*a - 10*m + 5*m - 15. Let o(s) = -s**3 + 2*s**2 - 1. Let w be o(a). Suppose 0 = -k + 10 - w. 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 ((-81080)\/(-283780))\/((-2)\/(-4) + (-138)\/28)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1170 - -1168. Let q be 1\/(30\/(-20) - j). Factor 20\/3*k - 4\/3 - 3*k**q.\nAnswer: -(k - 2)*(9*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 - 3*i + 26. Calculate n(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*v + 115 = 136*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 245\/(-77) + (18\/(-22) - -1). Sort -4, c, 5.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, 4, -0.3, -57.8, 1.1, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-30))\/((-5)\/45*-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28\/20*-1*(-7416)\/(-2163)\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3 + 4\/1. Let n(u) = -9 + l + 57*u + 384*u. Let j be n(-3). Round j to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189334342?\nAnswer: 2, 1567, 60413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 6*w + 5. Let t be n(6). Solve 4 = 4*r - t*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)\/s**13 assuming s is positive.\nAnswer: s**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3543\/7 + 5 + 348\/(-84). Factor r*n**3 + 40*n + 4*n**4 - 258*n**3 - 52*n**2 - 241*n**3.\nAnswer: 4*n*(n - 2)*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5688 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 r when three letters picked without replacement from {m: 2, f: 8, o: 3, r: 4, j: 2}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 73*p + 22*p - 60*p. Solve 2 = -5*d - 4*g, -p*g + 18 = -4*d - 5*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 13605*z**2 - 12339735*z - 3730713215.\nAnswer: -5*(z + 907)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 88 = -113 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 9:20 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-39 - -76) - -71.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 762620 and 340.\nAnswer: 762620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 0 + 2*o**2 + 0*o + 1\/3*o**4 + 7\/3*o**3. Let n(w) = 3*w + 5. Let c(g) = -5*a(g) + 14*n(g). Let v(f) = 2*f. What is v(c(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 963541.2um in meters?\nAnswer: 0.9635412","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 2. Let m(h) = -h - 1. Suppose -8 = 4*b, 5*b + 0 = -2*k + 2. Suppose 0*l = -2*l - k. What is l*n(f) - 8*m(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364\/3*z + 2\/9*z**2 + 2176\/9 = 0. What is z?\nAnswer: 2, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 15 (c) -4\/7 (d) -4 (e) 131\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 46. Let h be (2 + 40\/(-15))*24. Let y be s(h). Calculate the remainder when 151 is divided by 24\/(-56) + 440\/y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 539 - 506. Calculate the least common multiple of j and 76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 + 54*p + 60. Let d(r) = 15*r**2 - 110*r - 119. Let y(w) = -9*b(w) - 4*d(w). Is y(-33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 502 + -477.7. Let m = d + -20.3. What is the second smallest value in m, -0.2, 4.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 950924, 950832, 950740, 950648?\n\"Answer: -92*z + 951016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l**3 - 5*l**2 - 3*l + 3. Let n(u) = 71*u**3 - 15*u**2 - 8*u + 10. Calculate 3*n(k) - 10*p(k).\nAnswer: -27*k**3 + 5*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 - 2*j - 1. Let d be 39\/(1482\/(-1216)) - -30. Let t(s) be the second derivative of -s**4\/3 - s**3\/6 + s. What is d*o(f) + 3*t(f)?\nAnswer: -2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 448 - 2*z**2 - 2*z**3 - 12*z - 448 + 17*z**2.\nAnswer: -2*z*(z - 6)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 4. Let r(y) = -4*y**2 - 246*y + 1730. Calculate r(h(x)).\nAnswer: -36*x**2 - 834*x + 682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 48354135 divided by -16118045\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -3. Is 13 + v + -2 + 0 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 17 = 3*b, -5*f - 33 = -0*f - 2*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 2. Let r be i(0). Suppose 220 = 5*a - 5*x, 5*a - r*x + 4*x = 255. Let w = -32 + 60. Calculate the remainder when a is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 487*c**2 + 322*c**2 + 98*c**2 + 442*c**2 to the form f + u*c + q*c**2 and give q.\nAnswer: 1349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by 2305480.\nAnswer: 19\/576370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -283*j + 1785168. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (7 + -10)) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/7 - 33\/(-3). Solve 4*k = k + 5*d - 23, 5*d - f = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257784615*f*q**3 - 105359857*f wrt q.\nAnswer: 773353845*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*h + 24, 0 = 5*h + 4*g - 55 - 1. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 240.2 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 125730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + 2. Let v = g + -11. Suppose -m + 5*h + 6 = 0, 2*m + 3*h + 2 = 27. Is v <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 0*z - 10*z + 2*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 16. Let v be j(0). Suppose 7*t + t = 600. Suppose 2*g - 4*o = v, -5*g - 5 = -4*o - t. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(330\/(-48)) - (74472\/(-3335))\/(-12)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -7. Let r be (-885)\/(-33) + 4\/22. Suppose -3*z + y + r = d, -z - 2*y + 46 = 3*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 7*d - 4. Let j(u) = 0*u**2 - 3*u - 3*u + 2*u**2 - 3. What is -6*j(x) + 5*r(x)?\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (-36 + 18 + 8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5636*p**2. Let t(m) = -11*m - 1. Give t(v(g)).\nAnswer: 61996*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -663, -1122, -2425, -4998, -9267?\n\"Answer: -71*t**3 + 4*t**2 + 26*t - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 14*o**2 - 2. Is w(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3.5476\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 711873, 711830, 711797, 711780, 711785, 711818, 711885, 711992?\n\"Answer: b**3 - b**2 - 47*b + 711920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (23 + -3)\/5 - -3. Sort -1, -5, d in descending order.\nAnswer: d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 6*n + 8. Let w be t(6). Let v = -11 - w. Let o = v + -7. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11277662204 less than -11?\nAnswer: -11277662215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/30 - a**5\/15 + a**4\/8 - a**3\/6 + 4*a**2. Calculate the remainder when h(2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 6. What is the greatest common factor of s and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12265880?\nAnswer: 2, 5, 11, 61, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5 - 69*r**4 - 558*r**3 - 1722*r**2 - 735*r + 3087 = 0 for r.\nAnswer: -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 28 = -4*u, 5*n + 2*u = 20. Let o be (15\/(-6) + n)*2. Let j = 5 - o. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c - 96. Let t be l(17). Let x = 142 - t. Solve x = 7*q + 6*q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039824 divided by -346608?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 11*a**2 + 7*a + 2. Let f = -26 + 33. Is c(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 58*k**3 + 2*k**2 - 1847*k + 2. Let w(p) = -5*p**3 + 3*p**2 - p - 1. Let m(t) = r(t) + 2*w(t). What is the second derivative of m(c) wrt c?\nAnswer: 288*c + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4121120*g**2*i**3 - 2*g**2*i - 23*g*i**3 + 69*g*i**2 + 9*g - 4*i**2 + 1 wrt g.\nAnswer: 8242240*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let t(k) = -66*k**2 + 7*k - 27. What is t(f(z))?\nAnswer: -264*z**4 - 14*z**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 94, 149, 208?\n\"Answer: 2*n**2 + 45*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 226a0 - -40?\nAnswer: 22700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: c7da3 (base 14) to base 6\nAnswer: 14203335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n - 505. What is s(46)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*36\/(6 - 15). Suppose -4*v - 8 = 2*z, 0*v + 2*v - 2*z = -10. Is n less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*q**4 - 2*q**2 - q + 10 wrt q?\nAnswer: 540*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - -1 - (-1 + 0). Let u = t - -11. Factor g**5 - 1 - g**4 + 6*g**3 - 2*g - 2*g**u - 4*g**3 + 2*g**2 + g.\nAnswer: -(g - 1)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 7:31 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23.8, 560177, -2?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.5999195 + -13.6. What is p rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let r = 1 - -2. Let w(g) = 66*g + r*g**2 - 66*g. What is w(k(a))?\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -755143 (base 11) in base 6?\nAnswer: -41513425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**5 + 1\/12*g**4 + 11*g + 4 + 8\/15*g**6 + 4*g**2 + 1\/42*g**7 + 0*g**3. Find the third derivative of k(p) wrt p.\nAnswer: 60*p**2 + 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 65*a + 4. Let i be -2*1*27\/(-18). Is g(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + (29 - 32)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 3*t - 10 - 16, 20 = 4*w + 2*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3 - 3)*(0*k**2 + 0*k**2 + k**2 + 0*k**2 + k**2 + 2*k**2 + (1 - 1 - 3*k)*(-k + 3 - 3)).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45502, 90668, 135838, 181012, 226190, 271372?\nAnswer: 316558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**7\/105 - 41*a**6\/75 + 273*a**5\/25 - 1078*a**4\/15 - 2744*a**3\/15 - 126*a. Factor t(v).\nAnswer: 2*v*(v - 14)**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 2*m)*(-10*m - 5*m**2 + 6*m**2 + 6*m)*(-m + 3*m**2 + m) - 4*m**5 + 4*m**5 - 2*m**5.\nAnswer: -5*m**5 + 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139.868 + -1.768. Round x to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 4)\/(-2*(0 + -1)). Let m(g) be the second derivative of -8\/3*g**3 + y - 3*g - 8\/3*g**4 - g**2. Factor m(t).\nAnswer: -2*(4*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, m: 2, v: 13}. Give prob of picking 3 z and 1 m.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, u: 4, t: 2}. Give prob of picking 1 b and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(6) - (4 + sqrt(48))**2)*-1.\nAnswer: 28*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m - 92*m - 2 - 74*m + 273*m.\nAnswer: 30*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/5 - 4*t**3\/5 - 24*t**2\/5 + 16*t\/5 + 64\/5 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30012 and 348798?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-36))\/(232\/(-1566)))\/(3\/(-228))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 0)*(-8)\/(-6). Let f be (-54)\/(-30)*10\/3. Let w = 19\/3 - f. Which is the smallest value? (a) p (b) -1\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -16*h**2. Let f(r) = 18*r. What is f(o(s))?\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1455571)\/2158*4\/(-38).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1420 and 1183570.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - j + 0*j + (0 - 3 + 1)*(-3*j + 0*j + 4*j) + (4 - 6 + 0)*(-58*j - 76 + 76).\nAnswer: 113*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(17) + -1) - (1 + sqrt(1700))*6.\nAnswer: -40*sqrt(17) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 722\/7003 or -1.72?\nAnswer: 722\/7003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 8*j**2 + 46*j - 25. Let y be l(-12). Let x be 10*1\/12 - y\/(-3). What is the third biggest value in 2\/7, 23, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*o + 460 = n, -294 = 2*n - 3*o. What is the hundreds digit of ((-138)\/15)\/((65\/n)\/13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0338 times -233?\nAnswer: 7.8754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -24. Suppose -210 = -o - f*o. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f + 132 = 0. Let j be ((-128)\/12)\/((-2)\/(-6)). Let s = -17 - j. What is the remainder when f is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18437 divided by 103.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*r + 7*r. Suppose 3*p + 15 = 4*c, 5 = -2*c - r*p + 3*p. Suppose c = -2*f + 4 + 4. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 32. Let x be n(-15). Let a be 0 + 44*9*x. Does 22 divide (a\/(-54))\/(2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 + 4701331*t. Let l(b) = -b. Calculate l(w(n)).\nAnswer: 3*n**2 - 4701331*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -602, -1583, -3012, -4883, -7190, -9927?\nAnswer: -13088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {j: 1, e: 3, v: 4, u: 1, b: 8}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1200*t**3 - 11*t**2 + 30*t + 52. Let d(z) = -599*z**3 + 5*z**2 - 14*z - 24. Determine -13*d(j) - 6*k(j).\nAnswer: 587*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 60*m**5 + 272*m**4 + 92*m**3 - 152*m**2 - 32*m = 0.\nAnswer: -4, -1, -1\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -123*o + 2712. Determine q(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, 2\/17, 268?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 2*h - 295 = 0, -t - 4*h = -75. Suppose t - 116 = -3*p. What is the remainder when 41 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 11*a - 14. Let d be y(-9). Suppose 0 = -2*x + 8 - d. Solve v = 3*v + x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 3*r + 1. Let p be z(-2). Let h be 8\/3*(-6)\/(-4). Suppose -h = f - p. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n + 6. Let y be w(4). Suppose y = 3*c - 232. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 4) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 990 and 42405?\nAnswer: 254430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727096.\nAnswer: 2, 90887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*l - 88994 + 90456 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Suppose -4*o + q = -0*q + 21, -2*q = -o. Suppose -v + 3*j = 7*j - 19, -v = 5*j - 21. Calculate the lowest common multiple of v and c(o).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-4)\/(-4162))*18\/180. Let j be (-948)\/9 + (-1)\/(-3). Let b = a - j. Calculate the common denominator of b and -99\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 19*y**2 + 28*y - 51. What is h(-8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**3 - 303*x**2.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.503 rounded to one dp?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*g + 8*p, 62*g - 58*g - p + 16 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3224523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 263043*r**2 + 3156383*r - 2893341.\nAnswer: (r - 263031)*(r - 11)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8310 + (-27)\/(3 + -6) + (-14 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 193, 34.851?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 12 + -10 - (-2 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + -10 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135513 and 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 103 + s**2 - 1\/3*s**3 - s. Find o, given that w(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -1\/3, 2\/17, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331004 divided by 997.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072377666812 minus -0.01?\nAnswer: 1072377666812.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = 5*v, 2*c + 3*v - 10 = -2*c. Suppose -c*a - 19 = -3*u, 2*u = -4*a + 9 + 17. Let z = u + -5. Solve z*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*p + 236 = 0, r - 2*p - 36 - 11 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*f**2 - 5*f**2 + 92*f**2 + 7*f**2 as g + y*f + k*f**2 and give k.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 14.544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c9c - 298?\nAnswer: a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -3. Let t(p) = p**3 + 9*p**2 - p - 13. Let k be t(-9). Let v be f\/2*(k - -3). Is -1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d + 2*f - 536 = 0, 0 = 2*f. Let g = 355 - d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309618 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -1 - (-72 - (51 - 81)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i + 2, -2 = b - 2*i. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**20)**(3\/22)*q*q**(-2\/63)*q*q*q**(-5\/8)*q assuming q is positive.\nAnswer: q**(33655\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:13 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaaa when four letters picked without replacement from uafffufaaaua.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 105 = -3*u, -27*u + 5 = -28*u. What is the remainder when 35 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1 + (1 + 1 - 4)*(1 - 6 + 3) - 3 + 3 + 2)*(-1977*z + 2 + 1327*z + 4711*z) as g + x*z and give x.\nAnswer: 32488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -1, 0, 3, 121\/5, -342?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75, -154, -237, -324?\n\"Answer: -2*u**2 - 73*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 216*h**2 - 11*h - 13. Let s(m) = 108*m**2 - 6*m - 7. Let y(n) = 6*d(n) - 11*s(n). Is y(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*18\/540*-10*(-2)\/(-5)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213101434 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31933*v**3 - 3*v**2 + 482*v.\nAnswer: -191598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1960 and 2156.\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 258 = 3*z + 2*i, z - 2*i = 81. Find the common denominator of 5 + -3 + (-3)\/z + -3 and -39\/8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.021523ms in minutes?\nAnswer: 0.00038369205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-70)*2\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*w + 5*w + 4, -w + 2*p = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 2962278?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 54*l - 719. Let a be x(25). Solve a*g + 6 = 8*g + 2*h, -g - 3*h + 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-27 - -8) + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 4*a + 47, -32*j + 3221*a - 1616*a - 839 = 1610*a for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -2*c + 0 + 1\/6*c**3 + 36*c**2 + 5\/24*c**4. Let v(b) = -26*b - 6. Determine -16*q(p) - 3*v(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2064 and -0.3?\nAnswer: 619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3654785 divided by -730957.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50717 and 8659?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.3, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 18 - 20. Let w be ((-3)\/(-2) - 1) + -1. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmllmmmlmm. What is prob of picking 4 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/32)\/(1\/(-4)). Let d(y) = -y - 1. Let j(n) = -12*n**3 - 7*n**2 + 3*n + 3. Let b(g) = p*j(g) + 3*d(g). Find the third derivative of b(w) wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.32168738 rounded to 1 dp?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1380.427 + -1319.29. Let b = 0.137 - q. Let h = 61.00041 + b. What is h rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:30 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54747 - 27231 + 3901*z**3 - 22620 + z wrt z.\nAnswer: 23406*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -4*n - y, 0 = -5*n + 5*y - 73 + 208. Suppose 0 = 4*u + 3*l - 247, 3*u - 3*l + 57 - 237 = 0. Calculate the remainder when u is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**34\/(z**(-10)*z**5))**35 assuming z is positive.\nAnswer: z**651","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(5251*g - 15297*g - 12406*g + 3094*g).\nAnswer: -38716*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*20\/2400*(-40)\/(-4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -7*f + 99. Let x(c) = c**2 - 12*c + 32. Let y be x(f). Solve -y*m - 5 + 0 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12828.1687 and 5?\nAnswer: -64140.8435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 8664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 21*c**2 - 22*c + 3. Let j be u(22). Suppose 0 = -q - j*z - 11, 2*q - 5*z - 51 = 6*q. Which is greater: q or -15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 + 2*r + 4. Let d(v) = v**2 - 734. Let b be d(27). Determine k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204930 and 60786?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffm when three letters picked without replacement from xfxqxffxmhffxfmfmfmf?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 294\/4*(2 - (3 + 1)). Let t = -104 - w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968728.\nAnswer: 2, 3, 7, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:25 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 8*i - 20. Let q be j(10). Which is smaller: q or 1\/243?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/3 + 76*i**4\/3 + 722*i**3\/3.\nAnswer: 2*i**3*(i + 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*i - 2. Let s(f) = -3*f - 1. Let v(x) = 9*x + 2. Let w(l) = -8*s(l) - 3*v(l). Let p be w(i). Are p and -4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -6.43 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let m(f) = -10*f - 65. Let u(w) = -w - 6. Let s = 2 + -8. Let i(v) = s*m(v) + 65*u(v). What is i(h(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -12 + 30*(-4)\/(-10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 7:37 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25278\/221 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 888\/9775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133278 divided by 458.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/9854463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26408680 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 9 = 5*y, r + y + y + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 + 13*u + 2. Let j be t(4). What is the third derivative of 16*f**j - 58*f**5 + 6*f**6 + 58*f**5 - 21*f**2 wrt f?\nAnswer: 2640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(3\/41)\/(((h\/(h*h*h**(-3\/7)\/h))\/h)\/h**(2\/9)) assuming h is positive.\nAnswer: h**(2617\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d - 3*z = -18, -10 = -2*d - 2*z. Solve -3*r + 4 = 4*t, t = -d*t + r + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8687 and 2159.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9695 + 23055. List the prime factors of d.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3911 - 3917. Let c(l) = -5*l + 4. Determine c(a).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y - 1. Suppose 11 - 9 = -f. Let z(q) = 4*q**2 + 2*q + 4. Calculate f*z(w) - 6*t(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 + -8390497.387.\nAnswer: -8390531.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.95 - 2.05. Which is the second biggest value? (a) 1\/2 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 18 - 572 = 0. Calculate the remainder when a is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2451238822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/3*2 - 0. Suppose -4*z + 235 = z + r*n, -n + 5 = 0. Suppose 0*m + 3*m - z = 0. Calculate the remainder when 28 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-4 + -1)) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -28 + 38 + 3*n - 17 - 2*n. Suppose -10 = -s - 3. Determine z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9648979 or -1\/4?\nAnswer: 9648979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 481*n - 1224*n + 9659 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -1\/42*u**4 - 2*u + 0*u**2 + 1\/21*u**3 + 0. What is t in l(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15*v - 749. Let c(i) = i. Let b(n) = 19*c(n) - l(n). Give b(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148 - 59 - 5*u - 40 - 70 - 65 to f*u + j and give j.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*a - 2*v + 16, 5*a + v - 21 = 0. Suppose -28 = -d - 5*w + 26, 0 = d - 3*w - 14. Let y = 64 - d. What is the greatest common factor of y and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 1. Let w(t) = 17*t**3 - 15*t**2 - 5*t + 21. Let j(m) = 6*u(m) + w(m). Factor j(r).\nAnswer: 5*(r - 3)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*k - 1001*k + 155*k - 457*k in the form q + d*k and give d.\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 4 + 2 - 6 - 2*l. What is f(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 71, 10, -85, -208, -353, -514?\n\"Answer: b**3 - 23*b**2 + b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11343 + -6283. Suppose a + 3*a = -8, -5*a = -5*y + n. Round y to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 763876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*j**3 + 2*j + j**4 + 12*j**3 - 2*j**4 as u + s*j + g*j**2 + y*j**4 + z*j**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61318, -61319, -61294, -61243, -61166?\nAnswer: -61063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:31 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0014390759927 and 0.4.\nAnswer: 0.3985609240073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -12*f + 12. What is the lowest common multiple of f and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -238 - -241. Let c(v) = -2*v - 4. Calculate the remainder when c(-5) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1273, 608 in descending order.\nAnswer: 1273, 608, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/3 + 239*s**3\/3 - 23704*s**2\/3 - 48356*s\/3 = 0.\nAnswer: -314, -2, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -18352\nAnswer: 1\/9176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 515335, 515213, 515091, 514969, 514847, 514725?\n\"Answer: -122*d + 515457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 41.9. Which is the fourth smallest value? (a) -2 (b) -0.3 (c) s (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53721*m**6 + 38514*m**2 - 1 wrt m?\nAnswer: -6446520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 2*c + 7 = 0, -1287060*d + 2*c + 14 = -1287062*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0.1, 0, -29\/19, -10, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, 0, -4\/5, -29\/19, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -401*v - 388*v + 815*v. Let o(s) = 22*s**2. Determine o(b(g)).\nAnswer: 14872*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 + 219503*h*q**2 + 214801*q**2 wrt h.\nAnswer: -2*h + 219503*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -39. Is 13 a factor of ((-346)\/z)\/(-3*(-1)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 11 = h, 4*l - 23 = -3*h + 3*l. Let w(d) = -2*d**3 - d**2 + 3*d + 2. Let c be w(-2). Does c = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z = -118*z - 450 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3816 = -5*t, 0*c + 4*c - 2*t - 5114 = 0. Let d = -602 + c. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 2*h**2 - h**3 + 2*h**2 + 3*h**2 + 1. Let o(t) = 4*t**3 - 4*t**2 + 2*t - 3. What is o(a) + 3*r(a)?\nAnswer: a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15211 + 15211.1. Which is smaller: -202 or x?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, d: 5, y: 2, m: 3}. Give prob of sequence ymd.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1058 rounded to three decimal places?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.74? (a) -1\/2 (b) 5 (c) 1\/2 (d) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d**2 + d - d + 29*d**2 + 39*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and -13\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11580 - 11580 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1278c5b (base 14) to base 10\nAnswer: -8898481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g**2 - 3*g**2)*(225*g**2 + 26*g**3 - 225*g**2) - 3*g**5 - 4*g**5 - 2*g**5.\nAnswer: -35*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w. Give p(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847.1285 seconds in hours?\nAnswer: 0.51309125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*v + 43*v + 80 - 311 - 72 in the form u*v + x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3501, -7002, -10503, -14004, -17505?\nAnswer: -21006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 16 = 8*j. Solve 6 = -4*g + j*q, -3*g + 2*q = -q + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 21. Let r(w) be the first derivative of 0*w**5 - 1 + 0*w**4 - 1\/2*w**2 + 0*w + 0*w**3 + 1\/6*w**b. Find the second derivative of r(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.69 + -5.6154. Round w to 3 decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.384341 decades?\nAnswer: 43.84341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -214.05? (a) -0.4 (b) -7\/3 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -2) + -60 + 48?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 15*l**2 - 10*l + 20. Let n be i(8). Is n + (-11)\/2 - 6940\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 - 15*v - 90 + (5*v - v - 3*v)*(-4 + 0 + 2) to the form u*v + b and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-7 + 5 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 13*f**2 - 20*f + 17. Give s(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*t**2 - 31064*t**3 + 31057*t**3 + 3 in the form h*t + r*t**3 + m*t**2 + c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*f = -133*f - 3283. What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/108 - 31*p**3\/54 + 11*p**2\/3 - 115*p - 3. Factor w(l).\nAnswer: -(l - 2)*(l + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 289 + -290.5. Which is the third biggest value? (a) -0.4 (b) l (c) -0.1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/v)**(-42))**(18\/13) assuming v is positive.\nAnswer: v**(-2268\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 203712746 to the power of 1\/2, to the nearest integer?\nAnswer: 14273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 15*n**2 + 16*n + 7. Let c be o(-13). Let u(k) = 13*k**3 - 3*k**2 + 2*k + 2. Let p be u(2). Let x = c - p. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 957\/(-77) - (-9 - 3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 12*t**2)*(1 - 1 + 2*t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.062 less than -1383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2 - 3. Let n be t(-4). Let z be (2 + -3)\/(n\/54). Let x = -12 + z. Solve -x = -2*q + 6*o - 2*o, -5*q - 41 = 4*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.49 - -0.19. What is the closest to 1 in -3, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16)*(-4)\/(-4)*-16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -3ce274?\nAnswer: 3ce26f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191975 + 191975 + 338*s)*(-47 - 3*s + 47).\nAnswer: -1014*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*m + 14*m - 14*m - 15*m.\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14878128 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/13))**24\/(f\/((f\/f**(-2\/95))\/f)*f**(6\/11)) assuming f is positive.\nAnswer: f**(-121029\/13585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiuuwuiuuwuiuwuu. What is prob of picking 3 i?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48991010 and 171468535.\nAnswer: 342937070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(19))**2*1 + (sqrt(475)*1 + (1 + sqrt(76) - sqrt(19)))**2.\nAnswer: 12*sqrt(19) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -48820, 5, -5, -40, 4, -4 in descending order.\nAnswer: 5, 4, -4, -5, -40, -48820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403690*f**3*j**3 - 365*f**3 - 340833995*f*j**3 wrt f.\nAnswer: -2422140*f*j**3 - 2190*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34744803 divided by -174597.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39320?\nAnswer: 2, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1 - 4*o + 9 + 3*o. Let q be g(6). Suppose -3*z + 0 = -18. Solve -1 = j - q*y + z, -j = 4*y - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 - 25 = -2*p, 0 = -2*p + 5*m + 24. Solve -p*s + 1 = -0*s + 3*k, 0 = -5*k + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 + 15*d**2 + 31*d - 7. Let u(k) = 3*k**3 + 15*k**2 + 32*k - 6. Let a(j) = -7*u(j) + 6*w(j). What is the second derivative of a(s) wrt s?\nAnswer: 18*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76405, -76404, -76403?\n\"Answer: r - 76406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 3*l**2)*(-111*l + 165*l**3 + 111*l).\nAnswer: -495*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 6. Suppose 13 = o - 8. Suppose 0 = -3*k - d + o, -2*k - 3*k - 2*d = -35. Let h be i(k). What is the greatest common divisor of h and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90662570.38 rounded to the nearest 10000?\nAnswer: -90660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63622 + 3073 = 5*w - 4*q, -q = 5*w - 66720. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*w = 6790 + 2226, -5*w + 11240 = 5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 x, and 1 g when four letters picked without replacement from {x: 5, y: 1, u: 3, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2650692 and 3168.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.09528 - 2.90472. Let x = -0.1 - 0. Suppose 0*u + 8 = -f - u, 0 = -5*f - 3*u - 34. What is the closest to n in -0.2, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 95 - 35 = 0. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*(y\/((y**1*y)\/y)*y)\/y*(y\/(y**(5\/8)*y))\/y**(-5))**49 assuming y is positive.\nAnswer: y**(2891\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2175157925.2 and -22.\nAnswer: -2175157947.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i**5 + 41826*i - i**2 - 26*i**2 - 39693*i wrt i.\nAnswer: -240*i**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -585, -591, -597, -603, -609?\n\"Answer: -6*n - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10124, 10196, 10330, 10538, 10832, 11224, 11726, 12350?\n\"Answer: 2*d**3 + 19*d**2 + d + 10102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32965 + 32960. Sort 70, u, 4, -2, -16 in descending order.\nAnswer: 70, 4, -2, u, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k\/(k**(-3)*k))*k*k))\/(k\/k**(-1\/11)))\/((k\/(k**(-1\/3)\/k))\/k)**(1\/58) assuming k is positive.\nAnswer: k**(848\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54492 divided by -114.\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 18918.\nAnswer: -18917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 - 7*p**3 - 19*p**3 + 4*p**3.\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 752153747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 11:08 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1904*-12.\nAnswer: 2.2848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/16 and 31 + -35 + 7\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 15 = 24*i. Let c(h) be the first derivative of 0*h**2 - 13\/4*h**4 + 0*h**i - 15 + 18*h. What is the first derivative of c(y) wrt y?\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -123.9 and 10.95.\nAnswer: -1356.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112.7197 - 111.96. Round n to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101033.3 rounded to the nearest one hundred?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.740425l?\nAnswer: 4740.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 205, -2040.\nAnswer: -2040, -4, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 112*k - k + 1872 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 5*m**2 - 3*m. Let s be x(-2). Let p = 49 - s. Suppose -4*t = -0*t - 56. What is the remainder when p is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -56*l. Let b(j) be the first derivative of -8*j**3\/3 - 515. Give b(f(d)).\nAnswer: -25088*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 45258867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - (-8 - (0 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8786714*y**2 + 11421291 wrt y?\nAnswer: -17573428*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 - -0.3. Let r = -4.4 - z. Let s = r + 2.4. What is the nearest to -2 in s, 1\/6, 2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-21)*k**(-2\/3)*k)\/((k\/(k\/(k*k**7\/k)))\/k*k**20) assuming k is positive.\nAnswer: k**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/27*43\/((-5805)\/(-162)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-62)\/(-837) - (-2806)\/27 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u + 24, -3*i - 5*u = 31. Which is the fifth smallest value? (a) -6 (b) 4 (c) 0.13 (d) 14 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106)\/26235*895\/(-537)?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2849029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7591 + 7589. Put 69, s, 0.08 in increasing order.\nAnswer: s, 0.08, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478919 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/51 or -1?\nAnswer: -10\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15685, -15693, -15707, -15727?\n\"Answer: -3*y**2 + y - 15683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85842 divided by -85842?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8749*z + 35945 = 12232 - 16584 - 29695 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2533\/4 - -914357\/1444. Let r = 19897\/1083 + o. What is the common denominator of r and (1\/(-2))\/((-2)\/122)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19880, 19872, 19860, 19844, 19824, 19800?\n\"Answer: -2*z**2 - 2*z + 19884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*s - 4 - 129*s - 16 wrt s.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, q: 4}. Give prob of picking 2 e and 1 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - j + j. Let k(g) be the third derivative of 0*g + 0 + 7\/24*g**4 + 0*g**3 + 3*g**2. Determine k(f(t)).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j - 12 = 0. Solve -j = -5*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43969770 divided by 6.\nAnswer: 7328295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/65500 and 23\/660.\nAnswer: 2161500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-728*t**3 + 368*t**3 + 360*t**3 + 834*t**4)*(-1 + 1 - 4*t - 1).\nAnswer: -3336*t**5 - 834*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -71486 times 5\nAnswer: -357430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4716270 is divided by 214372.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1276*l - 2537. Calculate the remainder when 1\/(-4) + (-531)\/(-12) is divided by g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-1)\/(6\/9)))\/((-308)\/(-231)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 48370 = -24130. Let w = l - 2322. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64.055 + 62.7. Let t = 0.035 + l. What is t rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 31*w - 11. Let x be c(-15). Solve 0 = 2*h - x*r - 6, -h - 2*r - 13 = -0*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - -126?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 17. Suppose -w = 5*x - 28, -w + 3*x - 15 = -3. Let o be 66\/6 + (w - 1). What is the units digit of g(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 13 in decreasing order.\nAnswer: 13, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, -4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -1)\/((15\/12)\/5). Let i be 4 - 1 - (-6 - (5 - 5)). Find the second derivative of 304 - 304 - i*m**5 + a*m wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1\/16)\/((-1)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2\/4 - 10855*l\/2 + 1975086 = 0?\nAnswer: -22068, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + 33 - 55 + 26 + 2*t - 2*t - 2*t**2 + (0 + 0 - t)*(0*t + 4*t - 2*t).\nAnswer: -9*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2225, 3223, 4895, 7241?\nAnswer: 10261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 12*d + 8. Find the first derivative of -42 + 8 + 87*m**d + 21 wrt m.\nAnswer: 348*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 898, 907, 936, 991, 1078?\n\"Answer: x**3 + 4*x**2 - 10*x + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -18, -50, -106, -192, -314?\n\"Answer: -g**3 - 3*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 37*m = 23*m + 168. What is the fourth biggest value in 0.442, 1, -0.2, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 3*i**2 + 2*i - 4. Let w = -2 - -5. Let b be t(w). Which is greater: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129720 rounded to the nearest one thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*g*k**2*x - 2*g*k + 7*g*x**3 - 526*g*x + 20*k**4*x - k**3*x**3 wrt k?\nAnswer: 52*g*x + 240*k**2*x - 6*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = -18. Let c be (39\/p)\/((-3)\/(-6)). What are the prime factors of c*(-2 + 1)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/21 + -18\/7. Let s(x) = x**2 + 6*x - 10. Let t be s(-7). Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 170*a**2 + 176*a + 675. Determine x(-84).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25349 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 + 2*i - 4 - 10*i**2 - 106*i**3 + 104*i**3 + 27*i**2 in the form z*i**3 + v*i**2 + q*i + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 8*n**3 - 52626*n**2 - 408402*n + 461020 = 0.\nAnswer: -35\/4, 1, 6586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 12*i - 15*i. Let j be (i\/20 + 1)\/(16\/(-40)). Solve -5*b - 1 = -j*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 1365.\nAnswer: 60060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/2 + 7*g**4\/2 + 14*g**3 + 10*g**2 = 0 for g.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 59180*y**2 - 175113620*y.\nAnswer: -5*y*(y - 5918)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.353, -0.1, 9, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-3)\/10). Suppose 0 = -t + 2*u, t + l*u + 13 = -8. Let o(q) = q**3 + 8*q**2 + 3*q + 5. Is o(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (112 - 63 - 40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-6) - -15) + -25.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 93, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2611854 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, 60, 168, 294, 444, 624?\n\"Answer: d**3 + 89*d - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from aafnanna.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggdgggdgddgdddddgddg?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68340 - -1931. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - v**2 - 3*v**2)*(17*v**3 - 8*v**3 + 16*v**3).\nAnswer: -25*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -1\/2, -12001?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - c + c)*(-c - c + 3*c) - 3*c**2 + 3*c**3 + 3*c**2 + 22*c**3 + c + 64 - 64.\nAnswer: 23*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -638?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (172 - (108 - 20)) + -76.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + d + 11 = -0*v, -3*v + 27 = 2*d. Suppose -v*r = -2*r + 10. Let t = -629.8 - -630. Do r and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2.8. Let x = 22778 - 45555\/2. What is the closest to c in 0.2, 8, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + t**2. Suppose -4 = -u - 2. Let r(x) = 4 - 3*x**u + 1 + x**2 - 6. Determine -r(v) - 2*w(v).\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmkmkmkmm. What is prob of picking 1 m and 2 k?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1216) + 3)**2 + (sqrt(1216)*-4*-3)**2.\nAnswer: -144*sqrt(19) + 186057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115072 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*a - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -1. Let w = -315 + 314.99. What is the biggest value in d, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 806 + -806.0000002104. What is y rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum 69 and -0.009.\nAnswer: 68.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 18. Let a be q(13). Suppose -a = -3*w - 2, 333 = 5*b - 2*w. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 8 = 0, -2*h = 2*m + 11 - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.24825 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 8 - (7 - 1) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 12. Let o be g(8). Suppose o*q = 71 + 25. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*o**2 + 892*o**2 + 1620*o**2 - 768*o**2.\nAnswer: 2405*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x. Let n(o) be the third derivative of 0*o + 0*o**3 + 3*o**2 + 1\/12*o**4 + 0. Calculate n(d(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**3 + 7*j**2 - 12. Let d(g) = 11*g**3 - 13*g**2 + 22. Calculate 4*d(r) + 7*x(r).\nAnswer: 2*r**3 - 3*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/3010302 and 61\/738.\nAnswer: 3010302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:38 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 187 = 2*f - 29, 4*f + 8 = 0. Suppose 3*c - y + 49 = 0. Suppose -2421 = -c*x - x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38921 + 66480. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) + (-17)\/(-5). Suppose 0 = 2*w - i*w - 1. Let h be (w\/(-2))\/(4\/(-4)). What is the closest to 0.2 in 0.5, 2\/9, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100112 - -12?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than or equal to -89\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33202020103232 + 0?\nAnswer: -33202020103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**6*d)\/d)\/d*d*d\/d**4)\/(d\/d**1*d**4)*d**(-1)\/d*d\/(d*d*d*(d*d\/(d**(-3\/5)\/d))\/d)*((d*d**0)\/d)**(-6\/13) assuming d is positive.\nAnswer: d**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121684589.\nAnswer: 13, 17, 550609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - b + 6*b + b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 29*r + 613. Calculate l(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3. Let q(c) = 10*c**2 + 9*c + 10*c**2 - 8*c**2 + c**3 + 10 - 3*c**2. Let h = -35 + 27. Let s be q(h). What is g(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10151205.\nAnswer: 3, 5, 676747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 12:15 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0361698 greater than -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 1. Let d be (3\/(-2))\/(59\/(-28) - -2). Suppose -d = -5*n + 26. Let u(f) = -4*f**2 + 2*f - 8. Calculate n*y(r) + u(r).\nAnswer: 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 278096486123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31299763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9240\/23 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v. Let a(d) = 7*d**2 - 23. Give u(a(n)).\nAnswer: -42*n**2 + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.528 - -0.032. Let k = h + 1.24. Let u = k + -11.79999738. What is u rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*l**5 + 228792*l**3 + 6291*l**2 + 3*l + 2367?\nAnswer: -4500*l**2 + 1372752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12364121.\nAnswer: 7, 11, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by 5.\nAnswer: -399\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*g - 55. Let p = g + -71\/3. Let i = -0.3 + -0.7. Put p, i, 0 in decreasing order.\nAnswer: 0, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1157568 or 1157567?\nAnswer: 1157568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d**2 + 20*d**2 - 20*d**2.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32, -93, -192, -335, -528?\n\"Answer: -x**3 - 13*x**2 - 15*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (3 + -24)\/((-3)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -6.197 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-117)\/36)\/(1\/(-4)). Let j = 24 - c. Let o = 8 + -3. Calculate the remainder when j is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1\/3, -21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -22*b**2 - 188*b - 58. Let a(h) = -7*h**2 - 63*h - 18. Calculate -13*a(g) + 4*p(g).\nAnswer: 3*g**2 + 67*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1122\/2057 + 105\/(-11) + 232\/14. Determine z, given that -2\/7*z**3 - 342\/7*z + k*z**2 + 810\/7 = 0.\nAnswer: 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -20120?\nAnswer: -20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 101*x**2 + 315*x + 322. Let q be c(-104). Let h be -2 - (-3)\/3*5. Solve q + 2 = h*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48336353.5 to the nearest one hundred thousand.\nAnswer: -48300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 11 - 11)*(4*v**3 + 2 - 2) + (26 - 26 + 8*v**5)*(4 + 0 - 2).\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 3. Let f(i) = 7*i**2 + 2*i + 2. Let u be f(-1). What is z(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3093371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1181\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 10 = 208*d - 402*d + 197*d, 0 = 9*n - 2*d + 190 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -305102, -305095, -305088, -305081, -305074?\n\"Answer: 7*z - 305109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 72 = -9*r. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 2:26 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34905, -34881, -34831, -34761, -34677?\n\"Answer: -z**3 + 19*z**2 - 26*z - 34897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1269 = 44. Suppose 0 = -8*j + 3*j - y. Let s be (4\/14)\/((-7)\/j). Solve -3*u - s*u - 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 243 and 7269.\nAnswer: 588789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 4. Let q(l) = 1. Let w = -2 - -3. Let o(y) = w*u(y) - 5*q(y). What is o(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15)\/((-264)\/40 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1638 and 1238146?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*24\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 387 and 48?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 17*q**2 - 14*q - 5. Is k(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 7 + 13. Let d = -10 - -7. Is d\/(-6) + (-146)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 2. Let q be i(-5). Let d = q - -17. Let m(l) = l + 5. Let v(h) = h + 4. Let c be 11\/(-2) + 1\/2. Determine c*v(r) + d*m(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 68. Calculate the remainder when 170 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -128, -291, -514, -797, -1140, -1543?\n\"Answer: -30*i**2 - 13*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 3, -13, 0, -1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 10:07 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113766 is divided by 55.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 90\/13, 1, -0.3, -2 in descending order.\nAnswer: 90\/13, 1, 0, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, k: 3}. Give prob of picking 3 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-5\/4)\/u*u)*u**(-4))**11*((u*(u*u*u**(2\/15))\/u)\/(u**(-3)*u))\/(u**(-1\/11)\/u*u**(1\/9)) assuming u is positive.\nAnswer: u**(-6211\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**2 - 3. Let z(m) be the second derivative of 0*m**3 + 0 + 5*m - 1\/12*m**4 + 0*m**2. Calculate o(z(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -3.72?\nAnswer: -3.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (-20 - (-35 - 11)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223303300320 - 2?\nAnswer: -2223303300322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, -0.4, -103, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 - 220. Let g(a) = 352*a - 57. What are the prime factors of g(h)?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16593888, -33187802, -49781742, -66375708?\n\"Answer: -13*g**2 - 16593875*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5 + 2528*x**4\/3 + 124120*x**3\/3 - 407008*x**2\/3 - 976512*x + 698880 = 0.\nAnswer: -364, -60, -4, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*l + 2*q + 394 = 0, 4*q + 3851 = 3855 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*v - 723*v - 2*m + 13 = 0, v + 10*m = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52118\/483 - 2\/(-21) and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1\/12*b**4 + 1\/2*b**3 + 0 - 3\/2*b**2 - 40*b. Suppose 4*q + 16 = -4*u, 4*q - 2*u - 10 = -32. What is p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/4) - (-6 + 3). Suppose 4*b - 30 = -z*j, -3*j - 7 = -3*b + j. Solve 2*t + 2*o = 4, 5*o - 17 + 47 = b*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17679 = 742*d + 51327 for d.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 29\/2, -28, -0.4 in decreasing order.\nAnswer: 29\/2, 0.01, -0.4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241034342400 - 0?\nAnswer: -241034342400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*u - 3*u - 4, 4 = -u + 4*s. Suppose -31*q + 27*q - 68 = 0. Let k = u - q. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)\/(-16*(-65)\/1664).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n = 41*n + 6. Calculate the remainder when 17 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3\/4 (c) -27935\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 28*w**5 + 444*w**4 + 2120*w**3 + 2824*w**2 + 924*w - 196 = 0.\nAnswer: -7, -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62176?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1 - 4*z - 3 - 2. Let h = 13 - -43. Let v = -67 + h. Let y(f) = -7*f - 7. Calculate v*a(g) + 6*y(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 + 44*n**2 - 10*n**2 + (6*n - 3*n - n)*(n + 1 - 1).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24*b**3 - 265*b**2 + 37*b + 32. Is q(-16) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(7)*3*3 + -4 - (sqrt(7) + sqrt(63) + 1 - -1*sqrt(63)))**2)*-5.\nAnswer: -275 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 224, 1 in descending order.\nAnswer: 224, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 - (-14)\/(-4). Let r be -2*33\/(-18) - 4. Sort r, i, 4 in decreasing order.\nAnswer: 4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m**3 + 1016*m**2 + 3284*m - 12480 = 0 for m.\nAnswer: -5, 16\/7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 0*j**2 + 5\/3*j**3 + 0*j**4 + 3\/5*j**5 + 0*j + 5. Find the third derivative of m(f) wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 2*y**2 + 3*y + 4. Let o be f(3). Suppose -5*p = -o*r - 341, 6*p - p + 2*r = 347. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 84432 and 84432 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*z + 40 = 0, 16*k - 5*z = 12*k + 31. Solve -k = 2*h + r, 5*h + 8 = 4*r - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 6)*(0 + 1 + 2)*(0*z + z - 8*z) + z + 7*z - z + 1 - 1 + z.\nAnswer: -202*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 + 2*n**2 + 6*n**5 + 0*n**5 wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 461, 686, 907, 1124?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 o, and 1 d when four letters picked without replacement from oiwzozoioiooioziidw?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.266 * 4.885.\nAnswer: -1.29941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-3))\/2 - 0. Suppose o*h + 4*j - 57 = 0, 95 = -h + 6*h + 2*j. What is the remainder when (4\/2 - (-53 + -4 + -11)) + 3 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/104 and 6 + (-156)\/240 - 4.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4 + 25*f**3 + 155*f**2 + 215*f + 90 = 0.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - -298. Is r a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccwwc. Give prob of sequence cc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 + 2261*x - 32629. Determine h(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27253786991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + -6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 22, -154, -6, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = 5. Let j be (g\/1)\/((-4)\/12). Is 0 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 2*y + 5*y - 4*y + 2*y + 3*y + 1 - 1 - 2*y - 7*y + 3*y + 2*y + 2*y - 5*y + y + (-3*y + 2*y + 3*y)*(-1 + 0 - 1) + 4*y - 4*y + 2*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 110195848.\nAnswer: 330587544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 0.07, 3687.\nAnswer: 0.07, 44, 3687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/3 - 2326*s\/3 + 1352569\/3 = 0. Calculate s.\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 138574, 138705, 138862, 139051, 139278, 139549, 139870, 140247?\n\"Answer: j**3 + 7*j**2 + 103*j + 138463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3340563 and -0.2.\nAnswer: 668112.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200667347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916 or -367?\nAnswer: -916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7490781*i*x + 663054895*i + 12*x with respect to x.\nAnswer: -7490781*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 4. Let m(x) be the third derivative of -x**5\/30 - x**4\/6 - 2*x**3\/3 - 18*x**2. Let k be m(-2). What is b(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -200*k + 4133. Let c be v(21). Let f be (3\/(-2))\/(2\/60). Let b = f - c. Solve 5*u + b = -y, -2*u - 4 = -3*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -1.6432\nAnswer: -19.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 825 - 487 = 0. Let c = 512 - 353. Calculate the remainder when c is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrn when four letters picked without replacement from rutofrn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 9. Let x = -31\/3 + w. Is x <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, 69, 197, 387, 639, 953?\n\"Answer: 31*s**2 - 27*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/9 and (-1024)\/2496 + -1*(-2)\/3.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 18. What is the smallest common multiple of 10 and u(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*z - 14, -4*r - 5*z - 22 = -5. Let k(h) = 2*h + 31. Let o be k(-14). Differentiate -i**o - 20*i**r + 20*i**2 + 5 with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*o**3 + 7326506*o**2 - 7582260*o + 255582 = 0. Calculate o.\nAnswer: -42597, 3\/86, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -8. Let p = d + 22. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:17 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 21 = -10*s. Suppose -2*w - q - 16 = 0, s*q = q. What is the tens digit of (-326)\/(-10) + w\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, -3\/4, 0.2 in increasing order.\nAnswer: -303, -3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*i - 4 = -i, 2*m + 12 = 4*i. Let c(j) = j - 2. Let l(z) = z - 3. Let g(t) = m*l(t) - 3*c(t). Let o(f) = 2*f - 21. What is o(g(p))?\nAnswer: -2*p - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 87. Let m be p(13). Let r(j) be the first derivative of 0*j + 9\/2*j**m + 12*j**3 + 3 + 3\/5*j**5 + 12*j**2. Determine i, given that r(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence digd when four letters picked without replacement from {g: 3, i: 3, t: 6, d: 5}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 + 3925*q**2 + 1 - 1964*q**2 - 1 - 1951*q**2. Let x(f) be the second derivative of 3*f**5\/10 + 11*f**4\/12 - 6*f. Calculate 4*v(u) - 3*x(u).\nAnswer: 2*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.152 - 3.652. What is the second smallest value in u, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**7\/2520 + j**4\/8 + 2*j**2. Let m(t) be the second derivative of s(t). Let i(y) = -5*y. Calculate m(i(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 5814481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00102285 rounded to six decimal places?\nAnswer: 0.001023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 + -268. Suppose -t*v = -4*v + 5. Solve 6*l = l + v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 22 = 2*d. Suppose 0 = 7*x - d*x + 108. Suppose a = 60 - x. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + -9. Let i = 92 + k. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 - 28*s + 28*s.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4770 divided by 795\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + -89. Is 15 a factor of -4 - (764\/h - 6\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 4*m**2 - 7*m - 8. Let p(l) = -l**3 - 3*l**2 + 4*l + 6. Let y be p(-4). Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 93425475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 13*s**6\/30 - s**4\/2 - 6*s. Find the third derivative of f(t) wrt t.\nAnswer: 312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02423 and -0.76.\nAnswer: -0.0184148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/8967 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) + (-12)\/(-24). Suppose 0 = -4*g + 4 + 4. Suppose 2 = -2*f - g. Sort f, z, 4.\nAnswer: f, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**2 + 0 + 0*j + 1\/12*j**4 + 0*j**3. Let g(a) = -a**2 - a**2 + 0*a**2. Determine g(b(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(75) + (sqrt(75) - -4*((sqrt(75) + -5)**2 - sqrt(75))) - ((sqrt(75) - sqrt(75)*2) + sqrt(75) + -1)**2).\nAnswer: -210*sqrt(3) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13020131213 (base 4) in base 12?\nAnswer: -761b9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**1*h*h))\/h)**(-2)*(h**1)**(2\/23) assuming h is positive.\nAnswer: h**(140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 4*m**3 - m**3)*(-4 + 0 + 0)*(2 + 0 + 0)*(70 + 23 + 34).\nAnswer: -3048*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/22 and (-438)\/(-720) - (12\/9 + 0).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214797 = 36*b + 215913 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 278\/40*38\/(-59). Let l = d + -25\/59. What is the common denominator of l and 3\/2 + 287\/(-140)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 1951026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:06 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143958821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:15 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 3. Let m = -243 - -250. Let t(l) = 5*l - 10. Determine m*w(h) + 2*t(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -101, -104, -107, -110?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -873*m**3 - 3507*m - 211. What is the derivative of s(q) wrt q?\nAnswer: -5238*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 28.5. Let n be (32 - (1 + -3))\/((-2)\/(-10)). Let z = n - 172. Sort 2\/15, w, z, -0.3 in descending order.\nAnswer: w, 2\/15, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*a + 252 = 0, 13*g - a - 721 = 7*g. Solve g*y = 101*y - 140 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(4\/104). Let z be -2 + (25\/(-1))\/(10 - n). Let v = 5 + 0. Is z < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.248 and 1.\nAnswer: 5.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 6. Let u = -4 + 4. Suppose u*o = -5*o + 10. Suppose -6 = -o*t - 3*x, 0 = -7*t + 2*t - 2*x - 7. Calculate j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0.15, -1635\/4, 7 in decreasing order.\nAnswer: 7, 0.15, -0.06, -1635\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*t - 30. Let z(l) = l**2 + 5*l + 9. Let g be z(t). Solve n - 5*u + 1 = 0, -5*u + 3 = -g*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50871 or -50870?\nAnswer: -50871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1053) - 2*sqrt(1053)) + -1.\nAnswer: -9*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 10 = i. Suppose -4*m - 4*a + 8 = 0, -5*m + 9 = -i*a - 15. Suppose -5*n = 3*p + 338, -m*n - 2*p - 62 = -3*n. Round n to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (-2 - -9 - (-3 + 20 + 2))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 2*h**3\/3 - 8*h - 12. Determine g, given that u(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525075 by -7001.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s + 9. Let h(d) = -3*d + 2. Give -11*h(a) + 2*p(a).\nAnswer: 5*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 10. Let z be b\/((-1)\/(-28)*-2). What is the common denominator of 31\/10 and (2 - z\/4)\/(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.027 + -146.773. Let x = -147 - o. Let t be 1\/((-3)\/(-6) - 0). Put 3, t, 1\/14, x in decreasing order.\nAnswer: 3, t, 1\/14, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1*3 + (sqrt(2) + (sqrt(2) + (sqrt(2) + sqrt(2) + -1 + sqrt(2) + sqrt(2))**2)*-1 - sqrt(2)).\nAnswer: -33 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 879 + 831. What is the tens digit of 11634\/8 + 12 + (-294)\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009708.\nAnswer: 2, 569, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1237, 2429, 3621, 4813, 6005, 7197?\nAnswer: 8389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 44585.5 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 3:03 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3 - 3316*r**2 - 682240*r + 2076672 = 0.\nAnswer: -416, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49850718 divided by 4?\nAnswer: 24925359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(243)*-1 + 3).\nAnswer: -12 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d + 1. Let u(m) = -12*m**2 - 5*m + 5. Suppose -2*c = 5*c - 14. Suppose 14 = -2*s + 2*w + 2, -5*w = -c*s - 27. Give s*u(b) + 5*l(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 9, 0, 1, -2, -211 in increasing order.\nAnswer: -211, -2, 0, 1, 9, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-78) - (-12)\/(-9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 569091*w**3 - 95494*w - 4.\nAnswer: 3414546*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.158 - -7.158. Let m = -886\/11023 - -8\/151. Let b = m - -79\/219. Is b greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383 + 390. Calculate the least common multiple of 5 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 68 + 107*k)*(-2 + 1 + 2)*(-2 + 2 - 1)*((3*k - 2*k - 3*k)*(-2 - 5 + 5) - 4*k + 3*k - 2*k).\nAnswer: -107*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s. Which is the closest to -0.1? (a) -3 (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1923200 and 99\/6400.\nAnswer: 3846400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15706 - -5?\nAnswer: -15701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 9) to base 10\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -h - 3*h + 12, 4*x = -2*h + 6. Suppose 15 = 8*n - h*n. Suppose -2*l - 9 = -5*l - i, -n*l + 21 = -3*i. Solve 0 = -b + l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/4 - u**3 - 5*u**2 + 32*u. Let j be s(-3). Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*c - 19*c - 27*c + 3)*(-2 - 1 + 2) + (-4*c + 8*c - 11*c)*(1 - 1 - 2) to j*c + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 63592*z**2 - 505556394*z + 1010858436.\nAnswer: -2*(z - 15897)**2*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvww when four letters picked without replacement from {i: 2, v: 6, w: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-35))\/(2\/(-7)). Put 0, 10, r in descending order.\nAnswer: 10, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676 + -680. Which is the closest to -2\/7? (a) p (b) 0.02 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiluuuliiuuuui. What is prob of picking 2 l and 1 u?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 76. Let y be (-22)\/6*(-5 + 5 + -3). Does 21 divide p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15303586097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Suppose 4*c - 5*d - 3 - 15 = t, 0 = 5*c - d - 12. Suppose -5*m + 2*a + 28 = 0, -m + c*a - 4 = 4*a. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1291, 5, -0.3, -5, 0.101 in decreasing order.\nAnswer: 1291, 5, 0.101, 2\/21, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11875 and 875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 - 17.26. Let s = -17.76 - g. What is s rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 8 (b) 0.5 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 10350*i - 5356125.\nAnswer: -5*(i - 1035)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 105285 and -0.2?\nAnswer: 105285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.4 take away -0.052?\nAnswer: 482.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 154*g**2 - 12*g - 25. What are the prime factors of x(-5)?\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 9)*(-2*r + r**4 + 2*r).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -157, -342, -529, -718, -909, -1102, -1297?\n\"Answer: -o**2 - 182*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/8)\/c)\/c**(1\/23))\/(c*c*c\/c**(-1\/5)*c*c**16))**(-22) assuming c is positive.\nAnswer: c**(216249\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0 - 4*p - 1\/20*p**5 + 0*p**4 + 1\/3*p**3 + 0*p**2. What is the second derivative of d(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + a + 59126. Let r(m) = -216*m. Determine j(r(w)).\nAnswer: -139968*w**2 - 216*w + 59126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (118\/5)\/(3\/9). Let m = -71 + w. Let f = -0.14562 - -0.14562. Sort m, -5, f in decreasing order.\nAnswer: f, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {f: 8, j: 5, k: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = l - 33, 4*w - 9*w = 4*l - 27. Find the common denominator of (44\/(-12))\/(w\/((-252)\/32)) and 121\/156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + d - 4*d)*(-3 - 3*d + 3)*(-1 - 1 - 1) + (-3 + d + 3)*(4*d + 2*d - 5*d).\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21070580350 + -21070580668.99999483. Let n = 319 + b. What is n rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10182 divided by 6\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45794188 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -186 (b) 18 (c) 0.2 (d) -5 (e) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-14)*7*1. Let q be (-40)\/(-4)*5\/k. Solve 3*g = -q*n - 28, -5*n + n + 5*g = 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*9\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9271*f**2 - 8299*f**2 + 7*f + 17559*f**2.\nAnswer: -11*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.21304mg in nanograms?\nAnswer: 7213040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 7*h**3 + h**3 + (-3 + 2*h + 3)*(-h**2 - 4*h**2 + 3*h**2) + 0*h + 0*h + h**3)*(-2*h - 3*h + h).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 173605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 4912464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -125. Let d(h) = 99. Let x(t) = 4*d(t) + 3*j(t). Let i(m) = m - 1. Give -2*i(b) - x(b).\nAnswer: -2*b - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53498 - 0.3.\nAnswer: -53498.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3311 divided by -43\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8632979, -17265956, -25898933, -34531910, -43164887?\nAnswer: -51797864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 + 23*v**2 + 16*v + 25. Let i be w(-7). Let d(s) = s**2 - 9*s - 19. Calculate d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -244, -210, -176, -142, -108?\n\"Answer: 34*f - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80697033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -324 + -32?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 - 2)*(f + f - f)*(0 + 2 - 3)*(-15 + 11 + 10)*(3 + 2 - 1) + 4*f + 4*f - 2*f as u + j*f and give j.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 5*f - 3. Let d be i(4). Let l(g) = -g + 6. Let x be l(d). List the prime factors of x\/(2 - (-14)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(-6*-1*sqrt(1573)*2 - (-3 + (sqrt(1573) + sqrt(1573)*-2 + -5 - sqrt(1573) - sqrt(1573)))))**2.\nAnswer: -17699450 - 132000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + r - 32, 3*b + 18 = -2*r + 52. Calculate the smallest common multiple of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*p + 32, -p + 6*l - 2*l = -13. Suppose 0*v + p = v. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19061, -38035, -56963, -75845?\nAnswer: -94681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583214 is divided by 216?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -23716353.3 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/33)\/(c**14*c*c))\/((c**(-1\/3)*c)\/((c\/(c*c*(c\/c**(-2\/3))\/c*c))\/c)))**(2\/39) assuming c is positive.\nAnswer: c**(-446\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 7. Let w = g - -14. Solve -4*v + 1 = 3*r, -r + 9 = v - w*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -458\/5 + 92. Let x = 0.59 - 0.09. What is the biggest value in 1\/4, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 110 - 326 = 5*n, -5*n - 3*d - 226 = 0. Let r = n + 72. Suppose 0*k - k - m = -28, k - 3*m - r = 0. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 1}. What is prob of picking 2 v and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.6 and 4.\nAnswer: -58.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -165 + 166 + z**3 + 15*z + 3*z**4 - 2*z**3 in the form a*z + l*z**3 + y + q*z**2 + t*z**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 111 = -n + 181, -2*c = -3*n + 876. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 5. Suppose -u*i - 7 = 8. Let n(g) be the first derivative of g**2\/2 + g - 2. Give n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:43 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/33 and -19\/216?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -6.62 (c) 3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38355646, 76711292, 115066938, 153422584?\n\"Answer: 38355646*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 - w**3 + 4*w**3 - 4*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.5, -0.3, -6, 292, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 596 = 56. Suppose -k + 1 = 0, m + 3*k - 8 - 15 = 0. Let y = 32 - m. What is the highest common factor of t and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(2 - 4) + 7. Suppose 4*w - 2 = 6. Suppose w*a = -3*a + 320. Calculate the greatest common divisor of a and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-10 - 3 - -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j**2 + 2*j. Suppose 3*p - 103*w = -108*w - 556, 0 = p - 3*w + 190. Let a(c) = -1581*c**2 + 187*c. Calculate p*v(l) + 2*a(l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**5\/19 - 2*s**4\/19 + 12*s**3\/19 + 4*s**2\/19 - 6*s\/19 - 2\/19 = 0. Calculate s.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*x + 6. Let m be ((-5)\/x)\/((-1)\/(-8)). Does 10 divide 1 + m + 1\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 58 + 17 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 52, 94, 174, 304, 496?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 990*v**3 + 75612*v**2 - 155200*v.\nAnswer: 2*v*(v - 2)*(v + 97)*(v + 400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Suppose -4*o + 16 = u, 5*u + f*u - 58 = 2*o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/5)\/(22\/55). What is the third derivative of 2*t**z + 16*t**2 - 32*t**2 + 9*t**4 - 3*t**4 wrt t?\nAnswer: 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 11. Let t be z(8). Suppose 4*a - 5*k + 9 = 36, -4*k - 12 = 0. Factor 4*b + 2*b**2 - 3*b - 6*b**t + 4*b**4 - b**a.\nAnswer: b*(b - 1)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -72*k + 53*k + 46*k + 2. Let j be (-99)\/(-15) - 4\/(-10). Is f(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/15*u**4 + 0*u**2 - 2\/15*u**3 + 0 + 0*u = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11969928 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 1. Let o(n) = -2*n**2 - 3. Let f(b) = -3*l(b) + o(b). Let m(s) be the second derivative of -s**4\/6 - 4*s. Give f(m(d)).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*m - 0*m + 18, 5*m - 24 = -4*a. Solve 0 = 2*d - 7*d - 2*w + a, w = d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (795\/(-1060))\/((-35)\/20)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/60 + f**4\/24 - 19*f**3\/6 + f**2 + 24. Calculate y(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.773 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + (90 - 87).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1042.81236s to days.\nAnswer: 0.0120695875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 497 + -494. Solve 23 = 5*r + 2*a, -9*r - 2*a = -8*r - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121211002200 (base 3) to base 11\nAnswer: 1761125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*67\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 115, 262, 457, 700, 991, 1330?\n\"Answer: 24*y**2 + 27*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6375, 5037, 2805, -321?\nAnswer: -4341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -74631 > -74629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - -18. What is the remainder when z is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o*(o**(2\/3)*o*o*o)\/o)\/o))**(-11\/7)*(o**(-1\/6)*o)\/o*o*o**(1\/4) assuming o is positive.\nAnswer: o**(179\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 greater than 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 2096.\nAnswer: -8384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t - 10*t - 65*t)*(-4 + 10 + 8) in the form i*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 + 455*h**2 - 51983*h + 51529 = 0. What is h?\nAnswer: 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75\/7 - 11. Let i = -4\/12257 + -12221\/110313. Sort 0, i, -2, w in descending order.\nAnswer: 0, i, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.1. Suppose -5*d + s + 36 = -s, -2*d = 5*s + 3. Let i be 68\/22 - (5 + d\/(-3)). Which is the biggest value? (a) j (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 4*h**2 + 5. Let f be r(-4). Suppose 0 = -f*l + 479 - 24. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/((sqrt(20)*-3 - sqrt(20))\/sqrt(5)) - 2*sqrt(3)*-2*-2) + -1 + 5.\nAnswer: -33*sqrt(3)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * 1.7\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*s + 37, 4*i + s = i + 36. Let x(g) = i*g**3 - 1 - 2*g**3 + 3*g**2 - 8*g**3. Calculate x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*((-15 - 20 - 1)*(10*y + 10*y - y) + y - 4*y + 6*y) as k*y + h and give k.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109494643 is divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 5*r + 2. Let t be d(6). Suppose -11*s - t = -13*s. Factor 16\/3*z**s + 1\/3*z + 8\/3*z**3 + 0 - 7\/3*z**2.\nAnswer: z*(z + 1)*(4*z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.001 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 26*w**2 - 2*w + 12. Let t be c(-5). Suppose -t*o + 673*o = 17. Solve -3*y + 4*h - 15 = 5*h, -o = 5*y - h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*x - 3, j + 4*j + 2*x - 15 = 0. Suppose -4*a + 3 = j. Suppose 2*y - 210 = -a*i + 4*i, -2*i = 4*y - 470. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5703044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 72960472.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2400 (base 6) to base 7.\nAnswer: -1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 525850439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 10:20 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.21 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -2*g**5\/5 - 5*g**3\/6 - 9*g. What is the second derivative of b(q) wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -4, 0, -6, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*f + 434*f = 192 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 4 - 2\/15*u**6 + 0*u - 2\/5*u**4 + 0*u**2 - 2\/5*u**5 - 2\/15*u**3. Factor f(z).\nAnswer: -2*z**2*(z + 1)**2*(2*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(-2\/7)\/(p**(-2\/3)*p)**(1\/4) assuming p is positive.\nAnswer: p**(-83\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/28*21\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (9 + (-12 - -6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 13\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1673853*n*z**2 - n*z - 1464*n - 19*z - 9 wrt z?\nAnswer: 3347706*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 11*o - 9. Suppose -3*z + 7*z = 8. Sort -7, o, z.\nAnswer: -7, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 2\/371, -4?\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from gzzssbssglgligzsbzsl?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6719276 and -5?\nAnswer: 33596380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g**2 + 24*g**2 + 3*g**2 + 25*g**2 + 20*g**2 - 106*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kak when three letters picked without replacement from akakaaaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 125761?\nAnswer: 1383371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*p*p**(3\/14)*(p**(2\/13))**35)**(1\/45) assuming p is positive.\nAnswer: p**(535\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 795379.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 88. Let u(b) = 2*b + 5. Let q be u(-5). Let c(i) = -15*i - 9. Let a be c(q). What is the greatest common divisor of y and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 5*n. Let l(p) = 3*p**2 + 27*p + 7. Let w(x) = l(x) + 4*o(x). Calculate w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -7)*(-5 - (-81)\/18). Suppose -3 = -b*h - 0, -h + 21 = a. Suppose -4*q - 4*f + 2 = -6, -5*q = 3*f - a. Solve 3*n + 5 + q = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*j**2*n**3 + 3501*j**2 - 286*j*n**3 - 2*n**3 + n**2 wrt n.\nAnswer: -246*j**2 - 1716*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -12, -33, -74, -141, -240, -377?\n\"Answer: -x**3 - x**2 + 3*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*x - 2*x - 440 = 0, -2*v + 4*x = -184. Suppose 0 = 5*k + q - v, 2*q = -4*k + 2*k + 40. Put k, -3, -4, 0 in decreasing order.\nAnswer: k, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 9*m. Let c(o) = -13*o. Calculate l(c(x)).\nAnswer: -338*x**2 - 117*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26890.\nAnswer: 2, 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27362563\/8 - -3424725. Let l = h - 4411. What is the common denominator of ((-15)\/(-6))\/((-6)\/(-4)) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 113.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-83450.7.\nAnswer: 83450.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 9*t**2 + 70*t - 1070. What is r(11)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*b + 2*b, z - b - 15 = 0. Solve 3*m = -c - 15, -3*m = -5*c + 5 + z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101276, 202272, 302978, 403394, 503520, 603356?\nAnswer: 702902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 577*b - 590*b + 312. Factor 14*u**2 - 714 + 3*u**3 + 357*u + 43*u**2 + b + 1425.\nAnswer: 3*(u + 5)*(u + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-26)\/(-39))\/(25\/(-6)) and 91\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 > -402\/1555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19514 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 9 = 0. Suppose -s*y + 0 = 4*u + 4, 5*y - 5*u + 30 = 0. Let z(c) = -c**2 - 2*c + 3. Let r be z(-4). Sort r, y, 5.\nAnswer: r, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 - 2521.\nAnswer: -2520.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -910, 0, 0.2, -1\/3, 0.0914?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -231*x**3 - 4*x**2 - 110*x - 406. List the prime factors of w(-4).\nAnswer: 2, 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7426263.\nAnswer: 3, 13, 17, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 0) + (-588)\/(51 + -135).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10))\/((-1)\/(-15)). Suppose 5*m = 2 - f. Let s be (-20)\/70 - (-10)\/(-14). Sort s, m, 1.\nAnswer: m, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -16*(-252)\/(-32)*(-4)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1206 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27843900 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18 + 10 + 9581\/(-585))\/((-90)\/150)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -26. Suppose 9 = -3*x, 2*c - 6*c + h = 4*x. Suppose -c*p + 188 = -4*z, 5*z - 8 - 7 = 0. What is the greatest common divisor of p and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 20638294*i + 106484794807609.\nAnswer: (i + 10319147)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1535998, -3071995, -4607994, -6143995, -7679998, -9216003?\nAnswer: -10752010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2548 and 77077.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/((-63)\/6))\/(4\/(-18)). Suppose -99 = -3*q + b, 4*b = -z*q + b + 87. Suppose -32 = -4*d - 2*h + h, 0 = -4*d - 2*h + q. Solve 2*r = -2*r + d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 35*n + 82*n - 1160 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133246 less than or equal to 133245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6128279 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84814 - 84754. Let a(x) = x**2 + 150. Let z be a(0). What is the greatest common divisor of z and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*o - 950*o + 10686 = -536*o for o.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 741?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8034110*c - 2678013*c - 2678085*c - c**3 - 2678012*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - i - 1. Let u be 9 - 1 - (-234)\/(-26). Let d(n) = -2*n**3 + 0*n + n - 6*n - 6 + 6*n**2. Calculate u*d(r) + 6*b(r).\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 1. Let a(z) = 20*z**2 + 2. Let l be -1 - 30\/12*12\/(-10). Let u(v) = l*o(v) + a(v). Let f(i) = i. What is u(f(s))?\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2976*r + 1521*r + 524*r - 6 as i*r + v and give i.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -20. Let u be (n\/60)\/(2\/(-4)). Which is the nearest to -0.2? (a) -5\/4 (b) 5\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*i - 36, -2*t + 4*i + 3 + 1 = 0. Suppose -4*r = 3 - 15. Suppose -5*d + 35 = 2*c, -r*d - 3*c + 25 = -c. Solve -t = d*l + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(9\/3 + -4). Let p(y) = -y**3 + y**2 + y - 1. Let b(s) = 5*s**3 + 4*s**2 - 47*s - 106. Let m(u) = r*b(u) + 2*p(u). Factor m(f).\nAnswer: 3*(f - 4)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 369, -46.2, -2 in decreasing order.\nAnswer: 369, -1\/3, -2, -46.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1021*d - 5. Let f(t) = 2056*t + 12. Give -2*f(i) - 5*k(i).\nAnswer: 993*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191114 is divided by 9744?\nAnswer: 5978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/16 and -89\/124694686?\nAnswer: 997557488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 12*x - 7425. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 7 + 22 - 58 + 16.\nAnswer: -4*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {s: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 32 = 4*p, 4*d - 8 = 6*d. Let q(t) = -t**2 - 3*t + 2. Suppose -7*c - 6 = -4*c. Let u be q(c). Solve -p = -u*s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*20\/36*3. Let o(c) = c. Let x be o(3). Suppose -5*s + 3*s - 2 = 0. Put s, x, l in decreasing order.\nAnswer: x, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7122872843.\nAnswer: 503, 2729, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -105*d. Let z(p) = 8*p. Let a(q) = 2*n(q) + 27*z(q). Let j(x) = 709*x**2 - 88 - 706*x**2 + 74. Determine j(a(b)).\nAnswer: 108*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -2 - (0 + -1) - (212 + 169 - 378).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*s + 27*s + 7*s = 113322. Calculate the remainder when s is divided by 123.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*(((y*(y*y**(-4)*y*y)\/y)\/y)\/y*y)\/y)\/y)*y**(2\/17)*y**(-1\/4)\/y*y\/y**(-4\/5) assuming y is positive.\nAnswer: y**(1587\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144424 (base 5) to base 2.\nAnswer: 1100001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Find the second derivative of 0*m**3 + m**w - 3*m + 0*m wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 + 25710*q + 515000 = 0. Calculate q.\nAnswer: -20, 12875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.57, 0.1, 2\/11 in descending order.\nAnswer: 0.57, 2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -740685*-1559\nAnswer: 1154727915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 47 - 2. Let z(i) be the second derivative of -1\/12*i**4 + 1\/2*i**3 + 5\/2*i**2 + 0 - i. Give z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let v(r) = 360588*r. What is v(n(d))?\nAnswer: -360588*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3)*m\/(m**(5\/6)*m))\/(m**(-2))**(-2\/5))\/(((m*m**5*m)\/m**0)\/(m**(-4\/7)\/m**(6\/11))) assuming m is positive.\nAnswer: m**(-13283\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 31, -35 in decreasing order.\nAnswer: 31, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(7) + 3*sqrt(7)) + 3)*-4)**2.\nAnswer: -768*sqrt(7) + 7312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533718540 to the nearest integer?\nAnswer: 23102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -947\/3 in -4, 2\/13, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by 401\nAnswer: -133\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -9) + -2 - -1. Let y be -3145*(3\/g*1 - 1). Suppose y - 109 = 3*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*c - 156, -4*w + 8*c = 4*c - 156. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Solve c + f = -2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43536 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7649 (base 10) in base 6?\nAnswer: 55225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 minus 177563?\nAnswer: -177561.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (78\/2 - 1). Let g = -13 + u. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*k + 7 + 54 = 0, m = -5*k + 19 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15280, -30559, -45834, -61105, -76372, -91635?\n\"Answer: 2*p**2 - 15285*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(147) - (-2*sqrt(147) - sqrt(147))**2).\nAnswer: -1326 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -432 (b) -66 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -34. Solve f = -2*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2)\/(-8)*-5) + ((-6)\/2 - -3).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/(z**6\/z))**(-19)*((z\/z**(-1\/4))**(1\/24))**(-7) assuming z is positive.\nAnswer: z**(27325\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (7 - -6) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9095 rounded to the nearest one hundred?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 8172\/315 - (-10)\/(-175).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 679581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 17. Let i(v) = v**2 - 6. Let f(q) = 8*i(q) + 3*l(q). Let s(g) be the first derivative of f(g). Let t(w) = 2*w. Give s(t(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121414121 + 2?\nAnswer: -121414115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 12 + 0 - 6 + 2 - 2*r.\nAnswer: -2*r - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2467 is divided by 104.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 11. Let j(o) = 2301*o**2 + 867*o. Calculate b(j(w)).\nAnswer: -4602*w**2 - 1734*w + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.3 in 4\/9, -0.4, -1444?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -762 + 3?\nAnswer: -75b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 28a3?\nAnswer: -28a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v)**(-4\/3) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -102739, -102469, -102211, -101965, -101731, -101509?\n\"Answer: -6*k**2 + 288*k - 103021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i - 184 = 0. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3611 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3 (c) 0.4 (d) -0.01 (e) -1\/3 (f) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 666430 to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1437177 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 9*j**2 - 16*j - 70. Determine w(7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**5 + 7*y**5 - 28 + 0*y**3 + y**3 + (y - 2 + 2)*(0*y**4 + 3*y**4 + y**4).\nAnswer: 3*y**5 + y**3 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 3384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*n = -n - 3222, -3*v + 1938 = -3*n. Suppose 0 = 4*y - 116 - v. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3762 and 266.\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-10)\/(-45) - (-1966)\/18 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2931823.\nAnswer: 2931823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*j**4*w**2 - 12*j**2*w**2 - 33*j*w**2 + 2 wrt j.\nAnswer: -132*j**2*w**2 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f. Let p be h(-1). Let m be ((-1)\/p)\/((-4)\/(-8)). Let n be 8\/(2\/1) + -2. Solve -l = -n - m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226.92275 - -0.02275. Let z = y + 227. What is the second smallest value in -0.4, z, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 13770?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6637932 and -41\/4770?\nAnswer: 33189660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and 128.37356.\nAnswer: 144.37356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y - 10. Let g be n(-7). Suppose -11*d + 3*d = -128. Let f be d\/(-140)*(-21)\/18. Which is the second biggest value? (a) f (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 - 4*y**3 + 4*y**3 + (y**4 + 0*y**4 - 3*y**4)*(-4 - 7 + 4).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4 + 8*r**3 - 16*r**2 + 20. Factor g(o).\nAnswer: -4*o*(o - 4)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + -284?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, 4, 56.889?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 less than -18\/643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -85872263 rounded to the nearest one hundred thousand?\nAnswer: -85900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 22 = v. Suppose 5*l + 9 = 4*q, 30 = 3*q + q + 2*l. Suppose 0 = 2*m + q*c - 2*c - 14, -c = -5*m + 24. Solve m*f - v = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -3, -70, 15491 in decreasing order.\nAnswer: 15491, 47, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(1\/3)*y))**(-2\/7)*y**(-1\/4)*y**(-6) assuming y is positive.\nAnswer: y**(-517\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let a(h) = -32*h - 16. Let c(r) = r + 4. Let u(i) = -a(i) - 4*c(i). Calculate u(d(q)).\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1693011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)\/(2\/(-6)). Let u = 26 - 30. Let z(l) = -l**3 - 4*l**2 - 1. Let y be z(u). Sort -5, y, t.\nAnswer: -5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*b - 12, 3*b + 3 = 6*b + d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-6))\/((-16)\/(-24)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -96, -137, -178?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4817.\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -2\/23, -2\/19, -1 in decreasing order.\nAnswer: 5, -2\/23, -2\/19, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2506 and 50484?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10)*4)\/(8\/10)*(-232)\/1972.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85675?\nAnswer: 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -103, -357, -785, -1393, -2187, -3173?\n\"Answer: -k**3 - 81*k**2 - 4*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*o + 35 = -85*o. Does 16 divide 0 - (o + -11) - (-327 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.1 + -66. Let z = -2716556 - -2716555.90000006. Let j = z + i. Round j to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1131*z + 1117*z - 42 + 3*z**2 - 9 - 2*z**2. What is the tens digit of a(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 183, 147?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**12*z)*z)\/(z*z**(-1\/5)))**(-14)\/((z**0\/z**6)\/((z*z*z**(-7))\/(z\/(z\/z**(-4))))) assuming z is positive.\nAnswer: z**(921\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:20 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = p - 5*p - 5*n, -p + 3*n + 72 = 0. Let b be p\/42*((-20)\/(-3))\/2. Solve -b*s = -2*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 + 5*n**5 - 2*n**5)*(12 + 5 - 2) - 3*n**3 + 3*n**3 - 2*n**5 + 2*n**4 + 0*n**5 + n - 2*n + n**5.\nAnswer: 74*n**5 + 2*n**4 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -11) + (-51 - (-40 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6416 (base 14) to base 13\nAnswer: -7b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 3. Let l(o) = -6*o - 3. Let g(s) = 2*s**3 - 37*s**2 - 27*s - 657. Let m be g(20). What is m*l(u) + 2*a(u)?\nAnswer: -8*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 48. Let g = t + 74. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 412140481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44452.315 + 32.03?\nAnswer: 44484.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087.72 rounded to the nearest ten?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/(-2)*1)\/((-26)\/260). Let q = i - -59. Is (6412\/q)\/(-2) - (-24)\/36 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddy when four letters picked without replacement from {d: 4, y: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 3\/(-3 - -6). Suppose -3*t = -0*t - 3*k - 45, -4*k - 40 = -o*t. Solve 2*p + t = 7*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10268*g - 6 - 2861*g + 43*g**2 + 6.\nAnswer: 43*g**2 + 7407*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-531 + 35 - 88 + 2*f)*(0 + 6 - 3).\nAnswer: 6*f - 1752","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((115\/(-40))\/(-23)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = -3*p. Sort -0.5, p, 5 in increasing order.\nAnswer: p, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/159*((-25)\/625 + (-290)\/250)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2522*c - 7268 - 16499 + 48006 + 56465 = 0 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 6. Let c be (-6)\/(-10) + 3\/(-5). What is the biggest value in a, c, 0.03?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:11 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -336*q - 336*q + 670*q. Let v(u) be the second derivative of -2*u**4 + 2*u. Calculate a(v(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4889 rounded to 2 decimal places?\nAnswer: 10.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*v - 202, -236*v = -k - 241*v - 36. Put -1, k, -0.067 in increasing order.\nAnswer: k, -1, -0.067","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m - 7. Let y(u) = -28*u - 24. What is 19*t(x) - 6*y(x)?\nAnswer: -3*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1100992 and -89\/420.\nAnswer: 115604160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 16*m**2 - 53*m + 163. Give s(18).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 14) in base 6?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*c**4 - 19087*c**2 - 632083 wrt c?\nAnswer: 28*c**3 - 38174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*a + 27*a - 61*a)*(-14 - 2*a**2 + 14 + (-3 + 2 + 2)*(a**2 + 3*a - 3*a)).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)*x*x**(-2\/5))\/((x\/x**(-3\/4))\/x*x)**(-30) assuming x is positive.\nAnswer: x**(431\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*q - 9, 0*q - 4*o = q - 14. Let c be ((-2)\/(-10))\/((-5)\/(-35)). Which is greater: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 872 - 572. Calculate the remainder when t is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64420.38 litres in millilitres?\nAnswer: 64420380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 223*(-1)\/(-5) + 62\/155 and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o + 243*o**2 - 252*o**2 + 218*o**5 + 6*o wrt o.\nAnswer: 13080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 2*h - 7. Suppose -15*v = 2*j - 20*v - 14, -5*j = -3*v - 35. Calculate y(j).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - (5 + -2 - 3). Let b be 18 + 0 + 15\/d. Suppose h - b = -2*l, h + h = 2. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (4 - 4) - (1 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 378\/(-1274) - 2\/(-13)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -13\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 14, -39, -2?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -7. Let h(k) = k**3 - 4*k**2 - 6*k + 13. Let i be h(3). Let x = w + i. Solve -t + x*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26139577 and -26139579 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 3355890*q + 3355887.\nAnswer: 3*(q - 1118629)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35 and -240784615.\nAnswer: -240784580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(3 + 1 - 6)*(4*d + 0*d + 0*d) to the form n + t*d and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 60909684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 9*u**5\/5 + 13*u**4\/3 - 10*u + 4. What is the third derivative of n(b) wrt b?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 518 - 231838.552.\nAnswer: -231320.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4603 is divided by 3765?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110556621 to three dps.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6908d8 (base 16) to base 12\nAnswer: -237b648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 + 216. Let n be s\/(-482)*(-31)\/20. Let i = 1\/241 + n. Find the common denominator of i and 73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g + 3. Calculate the remainder when d(-4) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3567\/(-44) + (-9)\/12. Let c = x + 82. Is -1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**22*i**(-3\/16)*i**(2\/19)*i\/((i*i**(-5))\/i) assuming i is positive.\nAnswer: i**(8487\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1034, -1042, -1064, -1106, -1174?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l. Let v(p) = 127172*p**2. Calculate f(v(o)).\nAnswer: -2543440*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.4 - 2.4. Let f = i - 12. Let k = f + 2.000071. Round k to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 13*i + 5. Let n be m(-13). Suppose -n*h = 2*k - 21292, k + 42612 = 5*k - 4*h. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67473209, -67473207, -67473207, -67473209, -67473213, -67473219?\n\"Answer: -r**2 + 5*r - 67473213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 25. Suppose 16 = -r + 18. Suppose a - 16 = -4*i - 3, 4*a = r*i - 2. Calculate the remainder when g(18) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (682 + 2*s - 682)*(0*s + 5*s - 2*s)*(-7 + 5 + 7).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -x - 6 + 3, -3*x - 5 = -4*f. Let i = -35.8 + 2.8. Let m = -33.2 - i. Which is the nearest to m? (a) 3\/2 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(1\/62)\/(w**1)**(-12)*((w**2\/w)**(-1\/4))**50 assuming w is positive.\nAnswer: w**(-63\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1703*s**4 - 901*s**3 - 28*s**2 - 524*s - 2 wrt s.\nAnswer: -40872*s - 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, p: 1, o: 1, r: 1}. Give prob of sequence ro.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from {k: 3, a: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542539636 and 5028?\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30 (b) 5 (c) 1\/3 (d) 2\/9 (e) -10 (f) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307233, -614319, -921405?\nAnswer: -1228491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 74, 181, 334, 539, 802, 1129?\n\"Answer: w**3 + 17*w**2 + 49*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*t - 2676, -2*t + 3*t = -2*l - 1338. Let r = l + 35456\/53. Is r less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + h - 3 = 2, -2*q = -h + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c**2 - c**2 - 7*c + 7*c + 19. Determine y(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -950, 1514, 3954, 6364, 8738, 11070?\n\"Answer: -p**3 - 6*p**2 + 2489*p - 3432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 939735 and 8505.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -3. Let z = t - -5. Suppose 2*m + 4*d + 2 + 4 = 0, 0 = m - 3*d - 12. Solve m + 6 = -z*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27*o - 52. Suppose 11*b = -2 + 79. What is the remainder when k(b) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100644 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3 + 1224*g**2 - 114*g?\nAnswer: -12*g + 2448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 17 - d**2 - 19 - 8*d + 0*d. Let v(l) = -l**2 - 7*l - 1. What is 3*s(f) - 4*v(f)?\nAnswer: f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 1. Let w(k) = 4*k**2 - 2*k. Let t = -5163 + 5160. Give t*b(a) + w(a).\nAnswer: a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3820*z + 805 = -3815*z. What is the highest common factor of z and 7889?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26990, 53955, 80920, 107885, 134850, 161815?\n\"Answer: 26965*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 626*n**2 + 958*n - 1580.\nAnswer: -2*(n - 158)*(n - 1)*(2*n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -48, -104, -144, -162, -152?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 - 137201?\nAnswer: -136519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5151972 divided by 3\nAnswer: 1717324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*l - m, -2*l + 3 = -5*m - 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15030430 is divided by 167004.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8141238 (base 10) to base 2.\nAnswer: 11111000011100110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Let g(b) = -1. Let v(w) = w. Let o(s) = -s + 16. Let p be o(15). Give l*v(y) + p*g(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1439*n - 25. Let j(z) = -1066289*z + 18520. Let a(b) = 3704*c(b) + 5*j(b). Let r(k) = 3*k. Calculate r(a(q)).\nAnswer: -4167*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42434098 and -0.189566.\nAnswer: -42434098.189566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -634*s**6 - s**2 + 180*s wrt s.\nAnswer: -76080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 3)*80\/(-120) + 0. Suppose -2*v + 4*j + 12178 = 0, 8*v + u*j - 24306 = 4*v. Round v to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 101302864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 12:03 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/5222 and -19\/7833?\nAnswer: 15666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(28) - sqrt(7)) - sqrt(4))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14943.328 to the nearest ten.\nAnswer: -14940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j - 4. Let l be n(-2). Suppose -w + 10 = l. Suppose 3*o - 4*z = 144, 3*o = -w*o + 4*z + 248. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + (sqrt(2299)*-1)**2*-2)*1 + 4).\nAnswer: 18368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74961934, 149923875, 224885816, 299847757, 374809698, 449771639?\nAnswer: 524733580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*i + 56 = 341. Sort -3, i, 23, 2.\nAnswer: -3, 2, i, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:45 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (22 - 39)) + -17 + 134.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b + 126. Let w be s(-11). Suppose 0 = -4*q - n - 152, 0 = w*q + n + 15 + 176. Are q and -37 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -624, -1222, -1822, -2424?\n\"Answer: -j**2 - 595*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 10*o - 8. Let y be j(-7). Suppose -25 = 3*q + 5*i - y, 4 = i. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5250 - -1.\nAnswer: 5251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 5*n + 1. Let x(k) = k**2 - k. Let t(s) = u(s) + 2*x(s). Calculate t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 952*u**2 + 954*u.\nAnswer: -2*u*(u - 1)*(u + 477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -165a6a8?\nAnswer: 165a6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 24 + 1 + 1 + (18 - 3).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206917057?\nAnswer: 241, 858577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 58*f + 11916206 - 11916206.\nAnswer: -f**2 + 58*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -161\/16, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79 and 3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m + 275 = -161*m + 109*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*r - 16. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5\/4, 7\/15, -7.4, 0.1?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2415380 divided by -5.\nAnswer: -483076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165498 + -165411.0936. Let x = -0.1936 - q. Let g = x - -87. Which is smaller: g or 0.02?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.2 + -38.2. Put -1, 2\/15, -4, i in increasing order.\nAnswer: -4, -1, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*y = 104, 446*r - 445*r - 107 = 3*y. What is the least common multiple of r and 493?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195756148 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + h = -h - 4 + 16, 39*a - 43*a = -38*h - 66 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5 - 3*w + w + w**2 + 4*w. Let j be k(-4). Suppose -v - j*v + 388 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/366 and -57\/244?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8505, 0.1, -1\/8.\nAnswer: -8505, -1\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.546907 micrograms in kilograms?\nAnswer: 0.000000000546907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 9*j = 12*j - 9, 4*j = -2*z - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 5, n: 3, y: 1}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59)\/(-295)*3*15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/7 and 18\/(-24) + -5515*(-6)\/45432.\nAnswer: 13251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002426 to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 9. Suppose -5*r - 3*v - l = -37, 2*r - 18 = -4*v. Suppose 10 = 2*j + 4*w - 2*w, -r*w + 25 = -5*j. Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.044*-0.02\nAnswer: -0.02088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2c9d6 (base 15) to base 10\nAnswer: -143976","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j**3\/3 + 4*j**2\/3 - 8*j\/3 - 4\/3.\nAnswer: 4*(j - 1)*(j + 1)*(2*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -3. Let b be 0\/i + 1 + -70. Let d be (-8)\/6*b\/(-2). What is d rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22956000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i. Let a(b) = 3*b - 15*b**2 - 30*b**2 - 3*b. What is a(n(r))?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 26. Is q(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1434 and 564929797.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 1 - 1)*(-133 + 133 - 2*a)*(-7*a + 7*a + 2*a**2) in the form y*a**3 + r + j*a**2 + m*a and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/2)\/(3\/(-2)). Suppose 4*r - 10 = -2*j + 10, -5*r + 20 = 0. Sort 3, j, d in descending order.\nAnswer: 3, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18647\/12897 - 2\/1433. Find the common denominator of 101\/6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/5? (a) -8 (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19334c (base 15) in base 3?\nAnswer: 2022021120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4699 divide 356339267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2158.\nAnswer: -1\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7423\/3 + -2473. Solve -10\/3*j + s - 2\/3*j**3 + 8\/3*j**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475974.812 rounded to the nearest 1000?\nAnswer: 476000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254254 times 7?\nAnswer: 1779778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (46\/5)\/((-36)\/(-15) - 2). Let d(a) = -a**2 + 21*a + 43. Let k be d(m). Sort 1, k, -4, -24 in ascending order.\nAnswer: -24, -4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3511, 7054, 10593, 14128?\nAnswer: 17659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456109 is divided by 35063?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -5605.\nAnswer: -5606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30619 + -21408. Is 134 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 8*p + 4. Let z be w(-8). Let d be -75*(-2 + z)\/(-2). What is the common denominator of -49\/2 and 6420\/d*2\/16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 111467454?\nAnswer: 111467455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-97)\/(321846\/(-158)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:33 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51783b (base 14) to base 4.\nAnswer: 22132333031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 811*s**2 - 2*s + 119. Let h(b) = -172*b**2. Calculate q(h(v)).\nAnswer: 23992624*v**4 + 344*v**2 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*d**2*k + 938*a**2*d*k + 6*a*d**2*k + a*d*k + 1088*a*k + 254066*d**2*k wrt d?\nAnswer: -4*a**2*k + 12*a*k + 508132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 49 = -4*u + c, 0 = -u - 4*c - 1. Let h = u - -16. Let p = 7 - h. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 21*v**2 - 9*v + 189. Let g be p(21). Is -112\/79 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n + 269*n + 227*n + 9765 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 237090003 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5764452kg to milligrams.\nAnswer: 576445.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0 (b) 1\/3 (c) 64\/383 (d) -0.1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27.002, 6\/19, 0 in decreasing order.\nAnswer: 6\/19, 0, -27.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:24 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 7*t + 3 = 0, -7*l - 4*l + 4*t - 18 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*x + 5053 - 5029 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 3*z = -226, -3*t - 654 = -3*z. Let p = t + 300. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 199416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.1 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*f = 14411189 + 2647919 - 1659082. What are the prime factors of f?\nAnswer: 2, 3, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 1 - i + 3*i + 4*i**2 - 7. Let x = -7 - -13. Let y be x\/((45\/(-6))\/(-5)). Give j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v + 35*v + 46*v - 176*v + 35*v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 1\/6*x**3 - x + 0 + x**2. What are the prime factors of h(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7224.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 31*v + 223. Let k be s(-12). Let w(h) = 6*h + 8. Calculate w(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528044 times -0.1?\nAnswer: -52804.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4425 and 576300.\nAnswer: 34001700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*m + m + 845 = 0, 4*x - 670 = 2*m. Let w = 828\/5 - x. Which is the biggest value? (a) 51 (b) 1\/6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-166 - 233 + 18)*(-s**3 + 3*s**3 - 3*s**3) in the form d*s + y*s**3 + z + q*s**2 and give y.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 2\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -66*z - 2315. What is t(-35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**5\/4 - 1305*s**4\/2 - 113535*s**3 - 6585030*s**2.\nAnswer: -5*s**2*(s + 174)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(8)\/sqrt(4)))**2 - (1*sqrt(6) - sqrt(6))\/sqrt(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 4*y - 5*y)*(-y**4 + 2*y**4 + y**4) + (-48*y**4 + 42*y**4 + 2 + 0)*(2*y + 3 - 3).\nAnswer: -8*y**5 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 + 7143*b - 565973. What is u(76)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 962, 1895, 2838, 3797, 4778, 5787, 6830, 7913?\n\"Answer: z**3 - z**2 + 929*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4*o + 3044*f**2*o + 169*f*o + f + 2*o wrt f?\nAnswer: -24*f**2*o + 6088*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -1*(-4)\/(-7). Let n = 274.2 + -254. Let t = n - 20. What is the nearest to 0.2 in f, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12 = -2*u, 6 = 3*u + b - 3*b. Solve u = -4*r - 8, 3*s + 5*r + 1 = -0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 s when four letters picked without replacement from {h: 3, v: 1, p: 6, s: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26130066865368 and -0.02.\nAnswer: -26130066865368.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2*y - 144 = -209 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14993 - 14985. Solve -5*f - 72 = 3*n - 61, -4*n = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4121425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (560\/(-30))\/(2\/(-3)) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 835, 2634, 5633, 9832, 15231, 21830, 29629?\n\"Answer: 600*a**2 - a + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -155*w - 2. Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = a. Let z = a - -10. Suppose -g + s = -6, z - 3 = -g - 3*s. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -121675 (base 9) to base 5\nAnswer: -4322304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3) + 6 + 1. Let d be -3*((-37)\/12 - -3). Which is the nearest to 1? (a) q (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.096 smaller than -1.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24352 (base 7) in base 6?\nAnswer: -45234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**8)\/(t\/(t*t**11))*t**(-13)*t*t*t**(1\/10) assuming t is positive.\nAnswer: t**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -2 - 0 - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57790257 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.9. Let j = 7280 + -7276. Which is the closest to v? (a) j (b) -2\/9 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 1. Let x(q) = 8*q + 3. Suppose -5*t + 2 = -8. Let w(i) = t*x(i) + 5*b(i). Let r = -75 - -74. What is w(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -92. Solve 3*d - 2 = l, 5*d + 0*d - j = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/137 (b) -0.3 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (9 - (54 + 18 - 37)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + 102 = 0. Let h be (0 - 76)\/(34\/o). Let u = h + 186. What is the highest common divisor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -1)*(-990)\/50. What is the smallest common multiple of 27 and ((j\/5)\/3)\/((-5)\/25)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 43*c + 266. Give m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 - 15*z**2 - 11*z - 40. Let q(k) = 11*k**3 - 31*k**2 - 22*k - 81. Let g(y) = 13*b(y) - 6*q(y). Is g(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*k - 312 + 37 = 0, -k = 5*z - 430. What are the prime factors of z?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*c + 29 + 25, 8*c - 14*o = -9*o + 109 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:30 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*b**3 + 9*b**2 + 3*b + 7238 with respect to b.\nAnswer: -210*b**2 + 18*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1983464100 to the nearest 1000000.\nAnswer: -1983000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81.5 - -103. Let z = 0.0243 + -22.0243. Let i = z + q. Which is the nearest to -0.3? (a) 0.3 (b) i (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 - 128 = 34*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 2123*o**3 + 1501668*o**2 + 353391120*o - 354894912.\nAnswer: (o - 1)*(o + 708)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 10, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*s + 8, y + 3*s = -s + 2. Let a = y - 2. Suppose -22 + a = -2*g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30436 + 32004. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 4*w - w + 4*w - w - w + w + 3*w - 2*w - 1 + w + 1 + (7 - 4 - 2)*(w - 3*w + 3*w) + 2*w - w + 0*w)*(0 + 5 - 1) as u*w + s and give u.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**4 - 131*w**3 - 35*w**2 + 7*w - 501. Let i(b) = -b**4 - 5*b**2 + b - 2. Let u(p) = 14*i(p) - 2*x(p). What is the first derivative of u(c) wrt c?\nAnswer: -8*c**3 + 786*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -79. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18947040.\nAnswer: 2, 3, 5, 7, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.999828 + 28. Round d to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, -1, -2\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 3*j. Suppose 5*w - 49 = 3*u, -5*w + 5*u + 18 = -27. Suppose -w = -h - 8. Sort j, h, -2 in ascending order.\nAnswer: -2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-3*x + 4*x + x) - 2 - x + 2 + (-5 + 2 - 2)*(3*x - 5*x + 4*x) - 48*x + 493*x + 17*x.\nAnswer: 445*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1467*a - 1454*a + 2923*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 3 + 47 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3236 + -495110\/153. Suppose 0 = -4*l - 3*w - 3, 2*l + l = -w - 1. Suppose 2*u + 2*x + 0*x = l, 0 = -5*x. Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -38?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**6\/2160 - t**5\/72 - t**4\/16 - 26*t**3\/3 - 80. Let z(c) be the third derivative of x(c). Factor z(n).\nAnswer: -(n + 1)*(n + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/12 - 138*t**2. Let n(l) be the second derivative of 7*l**4\/12 + l. Give w(n(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicicbc. Give prob of sequence bi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - q + 2. Let l be v(5). Let m be 4\/6 - 4\/l. Let g(p) = -2*p + 1 + m*p**2 + 3*p**2 - 4*p**2. Give g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 + 3*n - 3. Determine u(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 80*z**2 - 11*z - 11. Let p(c) = 16*c**2 - 2*c - 2. Give 2*g(j) - 11*p(j).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33 - ((-106)\/(-22) + 10\/55). Solve -2*w = -u - 11, 3*u + b = 5*w - 0*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4\/11 + 1962*d**3\/11 - 9758*d**2\/11 - 1962*d\/11 + 9760\/11 = 0.\nAnswer: -1, 1, 5, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.2 (c) 2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4157\/11 or 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -18 (c) -1173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0165769278 rounded to 6 decimal places?\nAnswer: -0.016577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1321123?\nAnswer: -1321130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 3*d - 16, -4*t = -77*d + 82*d + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1) + (0 - 11). Let r be -2 + (-1)\/1 + 1\/(-1). Is (37\/r - 1)*p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-915)\/75 - 2\/15)*3. Let l = d + 39. Suppose l*g + 55 = 45. Put g, 2\/9, -4\/5, 0.5 in descending order.\nAnswer: 0.5, 2\/9, -4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8358014 weeks to days.\nAnswer: 5.8506098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16007.\nAnswer: 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 2100.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 - 22*o. Let c(v) = v + 14. Let s(n) = 7*n + 56. Let x(r) = -4*c(r) + s(r). What is i(x(f))?\nAnswer: -36*f**2 - 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*v - 2 = 0, 12*v - 11 = -5*d + 23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:36 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10617 (base 12) to base 6.\nAnswer: 244031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -25*o + 22*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 - 409 + 208 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/55 - -49\/165. Let o = -83 - -78.9. Let l = o - -0.1. What is the closest to 1 in l, n, 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -17*t + 12*t. Solve -r + 4 = t, r - 11 = -u - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.005 - -0.031. Let x = a - 0.526. Let u = -11\/90 - 5\/18. Sort x, u, 0.4.\nAnswer: x, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 36. Suppose -5*m + 4*n = -21, -n + 7 - 6 = 0. Suppose 0 = z - m*w - 14, -5*z + z - l*w + 6 = 0. What is the greatest common divisor of z and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337451, 337453, 337455, 337457, 337459, 337461?\nAnswer: 337463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5790 is divided by 855?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295 + -305. Let t = 39 - 25. Calculate the least common multiple of t and (-120)\/(-21) - u\/35.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 475 - 473. Let x(i) = -9*i + 5. What is x(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3.1 (b) -2 (c) 21 (d) -1\/2 (e) -0.06 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 5 (c) 1289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhhhhhhh. Give prob of picking 2 h and 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:11 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/59, -68, -2\/13, 0, -14 in decreasing order.\nAnswer: 0, -2\/59, -2\/13, -14, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11248 + 7*m + 11248.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 1445*o**4\/12 + 170*o**3\/3 + 10*o**2 + o - 114. Let k(w) = 0. Calculate w.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 10 = z. Let g(o) = 22*o + 22. What are the prime factors of g(z)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 5:17 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/6)\/((-10)\/15). Let z = -2 - g. Suppose s = t - 19, z*s - 6 = 3*s. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3132415, -6264832, -9397249, -12529666, -15662083, -18794500?\nAnswer: -21926917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1561 + 1561 - 378*s.\nAnswer: -378*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.3172323 to two dps.\nAnswer: 330.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 8. Let c be t(-7). Let k(d) = -40*d**3 + 38*d**3 + 0 - 1. Give k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-11))\/((-1635)\/(-436)*(8 + 190\/(-25)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.03, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 826 (b) 2\/17 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 7*v - 5*v)*(v**4 - v + v).\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 201253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 2198486.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 35, 28.\nAnswer: -5, -4, 0, 28, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 - 28*m + 8328. Let f be i(0). What is the highest common divisor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -7.26594.\nAnswer: -6.86594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. Let n(s) = 2*s + 28*s**3 + 0 + 3 - s**2 - 6 + 2. Does 14 divide n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 4*y - 2. Let q = 251 - 442. Let n = q + 189. Let k(h) = -6*h**2 + 0*h**2 - 1 + 3 + 20*h - 13. Determine n*k(d) + 11*j(d).\nAnswer: d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567845 is divided by 141959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o + 47. What is the hundreds digit of x(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1502, -6265, -14274, -25529, -40030, -57777, -78770?\n\"Answer: -1623*g**2 + 106*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 481918844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(3\/5)*w))**(-37)\/(w**(-15)*w**15\/w))**(1\/41) assuming w is positive.\nAnswer: w**(-69\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 6796667869 = 691667914. Suppose -5*a - g = -0*a + 3*v, -244199999 = 3*a + v. What is a rounded to the nearest one million?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9474 by 5.\nAnswer: 9474\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4\/2 - 732*k**3 - 109620*k**2 - 3269808*k + 268669224 = 0.\nAnswer: -174, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 6*x = -16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/507 - (1760\/26)\/(-2). Let l(o) = o**2 - 65*o - 14. Let t be l(f). What is t rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 8 = 0, 5*p + 0*p - 4 = -2*o. Let c(m) = -m**3 + 7*m**2 + 2. Let i be c(7). Solve w - i = -o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/4 - 3*h + 6. Let o(t) = -5*t**2. Calculate o(f(y)).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 50*v - 290. Let o be (34\/9)\/(-1) - (-10)\/(-45). Let g(c) = 2*c**2 + 51*c + 291. Let j(z) = o*g(z) - 6*t(z). Factor j(f).\nAnswer: 4*(f + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/26)\/((-75)\/99 - 33\/(-363)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1\/2, 3\/92, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*1*(3 + (sqrt(13)*-2 - sqrt(13)))**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - s = -o + 5, 0 = -5*o - 4*s - 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwoewowwwowwe. Give prob of picking 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 + 88*m - 2179 - 2177 + 4358)*(4 - 2 - 3) in the form d*m**2 + p + v*m and give v.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 85*g + 24. Let j be m(2). Let b = -196 + j. Let r(c) = -4*c - 1. Give r(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*t - 8*u + 149, 2*u - 151 = -5*t. Suppose -t = 3*a - 4*a. Suppose i = -9*h + 4*h + a, 4*i - 19 = h. Solve p + o = 1, 5*p - 35 = -o + i*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**11)**(-1\/17)*(d\/((d**(-9)*d)\/d))**(-12) assuming d is positive.\nAnswer: d**(-2030\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07283 + -0.0728298794. What is k rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 120 = -w + 97, -46 = -p - 3*w. Suppose -u + 15 - 77 = -3*q, -3*q + 58 = -2*u. Calculate the highest common divisor of p and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Solve -q - i*r - 5 = -3*r, 9 = 3*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwwc when four letters picked without replacement from {d: 2, w: 3, c: 3, b: 9}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.115323 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21626462 - 0?\nAnswer: -21626462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -109 in ascending order.\nAnswer: -109, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1839674235 to the nearest integer?\nAnswer: 42891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 572\/3*n + 0 - 1\/3*n**2.\nAnswer: -n*(n - 572)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:41 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*1 + 29736\/3060 - 4\/(-10)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(162) + -4 - (sqrt(180)\/sqrt(144))\/sqrt(10)) + (-4*(sqrt(10) + sqrt(90)))\/(sqrt(5) + (sqrt(30)\/sqrt(6)*-6 - sqrt(5))))**2.\nAnswer: 374*sqrt(2)\/3 + 36121\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Let h(o) = -o - b + 3. Let a(f) be the third derivative of -f**4\/8 + 3*f**2. Determine h(a(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258323793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/7*21\/(-24)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 14*h = 18*h. Suppose -y + 2*y - 2 = 0. Suppose h*p + 1\/4*p**y + 0 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 12)*(-3 + 1 + 4)*(-2 - 3 + 3)*(0*w + 6*w**2 + 5*w + 2*w**2).\nAnswer: 384*w**2 + 240*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1123342441 (base 5) to base 2\nAnswer: -1001110000110010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2716*s**2 + 24457*s + 130. Determine j(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -2. Let i = -1288.462 + 1287.462. Let r = -6 + 6.3. Sort i, 0.6, r, y in ascending order.\nAnswer: i, y, r, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2165280 and 780?\nAnswer: 2165280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/2))\/(b*b*b*b\/(((b*b\/b**(-2))\/b)\/b)*b)*b*b\/(b*b**(-2))*b*b*b**5*b*b assuming b is positive.\nAnswer: b**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4094*h = 4089*h - 10. Let j(b) = -b**3 + b**2 - b - 1. Let v(p) = p**3 - 3*p**2 + 2*p + 1. Determine h*j(r) - v(r).\nAnswer: r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 12*r**4 - 208*r**3 + 588*r**2 - 392*r = 0.\nAnswer: 0, 1, 7\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**5 + 11*g**3 - 105*g**2 - 2 wrt g.\nAnswer: -120*g**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v + 0*v - v**2 - 7 + 0*v. Is w(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249195348.\nAnswer: 2, 312298837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -1 + 1\/42*s**4 - 8*s**2 - 71*s - 55\/21*s**3. Find j such that r(j) = 0.\nAnswer: -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 11, -7, -43, -103?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 2 k when four letters picked without replacement from kllclrrrllrlkk?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3 + 69*f**2 + 441*f + 675 = 0.\nAnswer: -3, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5 - 4837*w**4 + 4822*w**3 + 67728*w**2 - 116064*w = 0.\nAnswer: -4, 0, 2, 3, 4836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 40 + -40 + 32\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, -2577, -1\/4, 0.2, -74 in ascending order.\nAnswer: -2577, -74, -0.3, -1\/4, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllnllllnlnlnllllll. Give prob of picking 2 n.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*d + 50 = 0, -401 + 374 = 2*w - 3*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/13))**(-1\/7) assuming h is positive.\nAnswer: h**(-3\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -1. Let f be (2 - 3)*((-12)\/(-3) + 109). Let w = 108 + f. Which is the biggest value? (a) s (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10044 + 84*z**2 - 10044 - 10*z + 405*z**2.\nAnswer: 489*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -15 + 16 + (-27 - 7) + -83?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1848 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 3:40 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/20*3*2\/9. Which is the nearest to h? (a) 0 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 11*k**3\/3 - 3*k - 5. What is the derivative of z(m) wrt m?\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086534431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-10) - 390\/(-150). Suppose 0 = -21*p + 26*p - 10, -1 = 3*u - c*p. Let g(f) = -5*f**2 - 3*f + 2. Calculate g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*c + 2 = -0*c, 3*r - 2*c = 6. Let j(i) = -i**2 + 4*i**2 + 9*i**r. Let z(b) be the second derivative of b**4\/6 + 13*b + 31. What is j(z(k))?\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*v + 2)*(2*v**2 - v**2 - 4*v**2) - v**3 - 4*v**3 + 4*v**3 + 3*v + 17*v**3 + 5*v**3 - 3*v.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(((-2)\/(-42))\/1). Let k be (7\/(c\/18))\/2. Suppose 4*g + 9333 = h - 3469, -12806 = 4*g - k*h. What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -90, -192, -326, -486, -666, -860, -1062?\n\"Answer: n**3 - 25*n**2 + 4*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 47*v + 63. Let s be g(-21). Let u = 485 + s. Solve 0 = 2*c + u*t + 6, -14 + 4 = -2*c + 2*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1823\/8, -3, 5, -1\/495, -2?\nAnswer: -1823\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5574 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + 2*x**2 + 4. Let j be q(-3). Let v(y) = -2*y**2 - y - 1. Let t be v(3). Let z = t - j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:07 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 + 146122?\nAnswer: 146230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**2 - 6*w**3 + 2*w**3 + 35*w**4 + 29*w**3. Let o(z) = -z**4 - z**3. Let p(m) = 50*o(m) + 2*u(m). What is the third derivative of p(i) wrt i?\nAnswer: 480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4551275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 435, 447, 459, 471, 483?\n\"Answer: 12*j + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5262687573 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, 1 y, and 1 c when four letters picked without replacement from xytytyxcytpttxyc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -0.5 (c) -1\/10 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3013.12 to the nearest ten.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s - 4. Let v be j(3). Suppose -2*r + 12 = -0. Let p = r + -2. Solve v = -p*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65829 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32450 divided by -55\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*o - 30 = -2*o, 0 = -o - 3. Is 1131\/6 + h\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8*s = -20. Suppose 8*t = -s*t + 20. Let x be 0\/(t - (1 - -3)). Let k(i) = i**3 + i**2 - 1. What is k(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 times -11?\nAnswer: -15664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9f9 (base 16) to base 7.\nAnswer: 10305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.5 (c) -2\/13 (d) 5 (e) 36757 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11762897683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*g - 12 = -0*o, -3*g - 404 + 420 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 21. Let i be f(0). Let p = 21 + i. Suppose 4*d - 5*z - 123 = p, 4*d + z = 61 + 44. Solve 5*v + 7 = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3421399 is divided by 4021?\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 4. Let r be v(15). Let x be r\/(-10) + 15\/(-25). Suppose 2*c = -x*p + 28, -c - 3*c = 2*p - 40. What is the highest common factor of 72 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 - -29.5. Let s = x + -23. Which is the second smallest value? (a) s (b) 0 (c) 1\/2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316651 smaller than 949957\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8093*o**2 - 3 - 2*o - 8091*o**2 to u*o + m*o**2 + c and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/5 - 15362*d**2\/5 + 1947519*d\/5 - 61471872\/5 = 0.\nAnswer: -15488, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*-1)\/((sqrt(11) + sqrt(11)*-3)*-6) - ((-5*sqrt(13)*-2*5)**2 - (1*(sqrt(13) + sqrt(39)\/sqrt(3)) + 4 + ((sqrt(117))**2 - sqrt(13)))).\nAnswer: -32379 + 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 11 (b) 1\/7 (c) -1\/34 (d) -0.1 (e) -3 (f) 1\/3 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205233163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.34*131538\nAnswer: -44722.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3 - 751*t + 28 - 2898*t. Is k(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 781873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5684\/401895 - -2\/2977. Let y = 8346 - 8345. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:20 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -169*w - 8. Let f(j) = 14028*j + 668. Give 4*f(z) + 334*o(z).\nAnswer: -334*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3)\/(((-22)\/66*-14)\/(-1)).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -0.78. Let h = f + -0.32. Which is the biggest value? (a) 1 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*u = u - 104, 4*x = -u + 148. Let n(a) = -9 + a - x - 4 - 11. Let m(f) = -f. What is n(m(c))?\nAnswer: -c - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/28*(476\/(-12))\/(-17). Put p, 13, 4 in ascending order.\nAnswer: p, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -600*x + 98*x - 7 + 0 + 1 + 7 as g*x + q and give g.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 3 + 2)*(5*b**2 - 3*b**2 + b**2) - 2*b**2 + b**2 - 6*b**2)*(-b + 7*b - 3*b) in the form f*b**2 + l*b + s*b**3 + m and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 86566171634?\nAnswer: 86566171639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 383393 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*f**3*u**2 - 301*f**3 + 13*f*u**2 + 4 wrt u.\nAnswer: 218*f**3*u + 26*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 96. Let h be t\/(-8) + (-1)\/(-4). Does 5 divide 1 + 1 - 44\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(304)*2 - 1*sqrt(228)\/(sqrt(48)\/sqrt(4))))**2.\nAnswer: 504*sqrt(19) + 8523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 533 + 472. Suppose 269*p - 266*p = r. List the prime factors of p.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/669 and -4\/15.\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249565?\nAnswer: 5, 19, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 128*r - 130*r. Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = 2. Suppose 3*g + b*g = 10. Suppose g*l - 115 = -3*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473590 is divided by 236770?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 1898?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64845?\nAnswer: 3, 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 4*b**2 - 2*b + 2. Let j be l(-5). Let w = -957 + 957. Solve w = z - 42 + j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1071641, 1071634, 1071627, 1071620, 1071613, 1071606?\n\"Answer: -7*k + 1071648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - u - 2, -9*y + 6*y + 2*u + 7 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 29, 85, 177, 311, 493?\n\"Answer: i**3 + 9*i**2 - 8*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -1\/227 (c) 17 (d) 0.5 (e) 2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 2*n = -103568, -5*n = -3*w + 77669. Let d = 60016 - w. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.58 + -0.58. What is the fourth smallest value in -5, 0.4, 2\/7, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Let p be 1 + a\/(-1) + -3. Suppose p*n - 60 = -4*n. Calculate the remainder when 29 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 817, 3261, 7343, 13063, 20421?\n\"Answer: 819*x**2 - 13*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p*x**2*y + 2*p*x**2 - 2*p*x*y**2 - 438*p*y**3 - 3*x**2*y**3 + 38*x**2*y + 10*x*y**2 wrt x?\nAnswer: 10*p*y + 4*p - 6*y**3 + 76*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/(-4))\/(3\/12). Let z be (-111)\/21 - (-4)\/i. Let g = z + 15. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2412 times -10.54\nAnswer: 25422.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91930)\/(-13314) - 4\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u. Let j = -8 - -10. Suppose 5 = 4*m - 19. Let c(h) = j - 2 + m*h + 7*h**2. Give -c(w) - 6*q(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 191?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -14, -10, -6, -2?\n\"Answer: 4*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/3 + 6786*j - 101840\/3 = 0.\nAnswer: -10184, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:12 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*s + 22 = 0, -s = -4*y + 7*s + 100 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 106746611 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 588307355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*i**4*o*y + 33*i**4*o - 4*i**3*o + 5*i**2*o*y - 2*i*o*y - 2*i*y - 3*y wrt i?\nAnswer: -1464*i*o*y + 792*i*o - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 92848 divided by 3316\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33011332 (base 4) to base 5.\nAnswer: 3434242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 10) in base 12?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2885)\/(-10) + 1\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9992 - -9989. Sort -2, h, 41\/6 in descending order.\nAnswer: 41\/6, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 761, -1, -21 in decreasing order.\nAnswer: 761, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060 take away -17159698988.6?\nAnswer: 17159697928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4522.645 years to centuries.\nAnswer: 45.22645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let o be 2916\/1045 + 4\/(-2). Let v = o - -2\/209. What is the third smallest value in v, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3\/2 (c) -0.4 (d) 7328 (e) -5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77403 is divided by 15438.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1964*x + 11 = -1963*x, 0 = -3*c - x + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 1743537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, v: 1, o: 4, n: 2, e: 2, m: 2}. What is prob of sequence enn?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 14. Suppose -3 = a - 2*g, -z*a - 2*g + 12 + 3 = 0. Suppose 2*x - 7 = a. Solve 5*b + 8*d = 3*d - x, d + 4 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v\/(v\/(v*v\/v**(10\/9))))\/v)\/v*v)*(v\/(v**26*v))\/v)\/(v**(1\/3)\/v**(1\/9)))**(1\/7) assuming v is positive.\nAnswer: v**(-235\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 + 786141*l + 3144580 = 0. What is l?\nAnswer: -4, 786145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.276239343 + 868800\nAnswer: 868799.723760657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 8*v - 6. Let k be i(-7). Let r be (-243)\/(-21) - k*(-9)\/21. List the prime factors of 1838\/r - (-9)\/(-54).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/5*q - 6\/5 - 3\/5*q**2 = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**5\/60 + v**3\/3 - 2. Let a(f) be the third derivative of m(f). Let p(l) = 5*l**2. Give p(a(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -71. What is the remainder when 134 is divided by (-5 + 13)*34\/s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 354\/18. Suppose -h*q + 23*q = 177. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24383084*z**3 + 49961827 wrt z?\nAnswer: -73149252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 198447 or 13692790\/69?\nAnswer: 198447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 8*t + 14. Calculate o(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/135119420 and 125\/81071652.\nAnswer: 405358260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/4, 251\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3441.997349 - -3442. What is t rounded to four decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4*(-21)\/(-2072)). Is n greater than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 8. Let m be k(-4). Suppose -i - m + 32 = 0. Calculate the remainder when 46 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 1485396?\nAnswer: 5941584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 0*y**2 + 0 + 1\/18*y**4 + 7\/540*y**6 + 1\/6*y**3 - 6*y - 1\/20*y**5. Let k(c) be the second derivative of d(c). Factor k(x).\nAnswer: 2*(x - 1)*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + g**4 - 2*g**4 - 2*g**5 + (-g + 0*g + 0*g)*(412*g + 35*g**4 - 412*g).\nAnswer: -36*g**5 - g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94751, -189670, -284589, -379508, -474427?\nAnswer: -569346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 307823627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3) + (0 - (7 + -4)) + 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + a + 1. Suppose 32 = 3*f + 5. Suppose -3*r = -0*r + f. Give q(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11907 = -11885. Let t be 2 + -5 + (-356434)\/(-60) - -7. Let p = t + w. What is the common denominator of -22\/45 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -4\/7 (c) -12 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2178 and -48489779.\nAnswer: -48491957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 23*m + 3. Let v(l) = l**3 + 4*l**2 + 2*l - 2. Let o be v(-2). Let u(x) = 24*x + 4. Let t(i) = o*u(i) - 3*c(i). Does 10 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 36*q**3 + 9*q**2 - 9*q + 9. Let t = -1876 - -1880. Let c(z) = 9*z**3 + 2*z**2 - 2*z + 2. Give t*f(n) - 18*c(n).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*r + 309, -3*t + 3*r + 305 = -25. What are the prime factors of t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76056827573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and -864.22270783.\nAnswer: -851.22270783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - f + 7)*(117 - 415 + 159) - 32 + 3 - 4*f - 10 in the form a*f + h and give a.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*k + 10911, 5*z + 1129 + 26168 = k. What is the common denominator of -55\/6 and z\/1134 + 3*2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75934.9 millennia to months.\nAnswer: 911218800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 28*m + 0*m**2 - 2 - 1\/3*m**3. Let p(a) = 283*a**2. What is p(y(d))?\nAnswer: 1132*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 + -6?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)\/(v**13*v))**(-33) assuming v is positive.\nAnswer: v**858","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -92*x - 536. Determine y(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 4 (c) 299 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6457382977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {k: 2, d: 1, u: 2, z: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.043 - 1.957. Which is the biggest value? (a) 2 (b) -2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-13 - -16) + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/(-12) - (20\/(-12))\/5 and 101\/(-10) + (-2 - -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 83 = 4*s + 22, -4*s + 42 = -2*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 12, 6, 0, -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(2*s + 0*s + 0*s) - 3*s + 2 - 2)*(-2*s + s + 5*s).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, 0.3, 6, -123\/2, 4?\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, z: 1, l: 1, f: 10}. Give prob of sequence sff.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 323173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -11 - 9) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 8. Let x be (-77)\/385*(-1 + 0). Which is the closest to x? (a) -1\/4 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 491.41 - 491. What is the second smallest value in j, -1\/5, -5\/3, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f - 222. Let l be c(-13). Let d be 6*(-12)\/(-8)*(-6)\/l. Solve 4*a - 3 - 1 = -w, -d*w - 3 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9792 and 6579?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11941*l = -11938*l - 21. Solve -l = 5*u + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3161 (b) 3\/178 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 13. Let z(v) = -v. Let y(a) = -b(a) - 5*z(a). Let m be y(6). Let g(u) = 66*u - 10. Let t be g(m). What is t rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2835)\/80)\/7 - (-29 + -5 - -29)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 25*v + 132. Let g be 11 + v + (9 - 4). Solve 13*y = g*y - 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 0.12. Let t = u + -3.8. Put t, 0.3, 2\/9 in descending order.\nAnswer: 0.3, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -21*m + 10. Let z be 3\/2*10\/(-3). Let g be n(z). Let s = g + 264. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 38*c**2 + 3 - 20.\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52 + -3253?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 4, -10, -4 in increasing order.\nAnswer: -10, -4, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (176\/(-312) - 54\/(-234)) + (-138392)\/(-6)?\nAnswer: 5, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -22510?\nAnswer: -22502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**4\/9 - 49*g**3\/3 + 434*g**2\/9 - 32*g = 0.\nAnswer: 0, 1, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 3. Let m(c) = 4*c - 3. Let z = -4088 + 4093. Give z*m(w) - 6*r(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -24. Solve 5*w = t*z - 10, -w + 2*w = 2*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130703300 by -37940.\nAnswer: -3445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 323\/13. Suppose -5*r + 4*q + q - 10 = 0, 2*q - 5 = 3*r. Let y be ((-1)\/(-6))\/(r\/8). What is the second smallest value in x, -2\/23, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 147 = -5*t - 168, 0 = -5*y + 7*t + 36 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-414)\/48) + 7.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 + -268. Suppose 5*p = -4*d + 53, 3*p + 23 = 5*d + 3. Factor 3*f**2 + t + 9 + 12*f - d.\nAnswer: 3*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -107.00000296. What is l rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20122100100 (base 3) to base 9\nAnswer: -218310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094329 to 4 dps.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62585, 125175, 187767, 250361?\n\"Answer: b**2 + 62587*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100110 - -1011000?\nAnswer: -10101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = 3*y - 117, -179 = -5*y + 3*s. Suppose -5*r + 41 = -y. Let z(n) = n**3 - 12*n**2 - 22*n + 20. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4226, 61 in descending order.\nAnswer: 61, 1, -4226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68, 67, 66, 65?\n\"Answer: -a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8481\/(-6939))\/((-209)\/6)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 8 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 5593\nAnswer: 24\/5593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10065*d = 10150*d - 85. Suppose 4*o - 5*j - 6 = 0, -2*o = 3*o - 3*j - 1. Sort -2, d, o.\nAnswer: -2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/961422 and -48\/1762607?\nAnswer: 10575642","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**6\/15 + 9*v**2\/2 - 7*v. What is the derivative of c(t) wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141614652.62113 + -141613474. Let j = 769.623 - v. Let q = 409 + j. Round q to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 11*g - 7. Let q be a(9). Let u(w) = 11*w + 4*w - 2 - 8*w. Let l be u(2). Is q at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 2*s**3 - 6*s**3)*(0 + 7 - 3 - 5*s).\nAnswer: 25*s**4 - 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -44 + 192. Let v(n) = 7*n**2 + n - 2. Let c be v(2). Suppose 2*u = 3*h + 2*h - k, 2*u = 4*h - c. Calculate the greatest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1*(1 + -1). Solve -4*v - n + 16 = 0, f*n + 12 = 3*v + n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q + 20. Let j be f(0). Calculate the highest common factor of j and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432507977 to the power of 1\/2, to the nearest integer?\nAnswer: 49320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 70509*g - 9603426.\nAnswer: -3*(g - 23366)*(g - 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {z: 1, r: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffyfffffffy. Give prob of sequence yfy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1123, 1122, 1121, 1120, 1119, 1118?\n\"Answer: -o + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15*s**2 + 364*s - 1799. Determine h(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 - (-37 - -43).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*9\/(-108)*((-198)\/77)\/((-16)\/546).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*z + 2525 - 2525)*(-25 - 7 - 2).\nAnswer: 1428*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -21010 (base 11) to base 16\nAnswer: -77a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 14*n - 78 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:10 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 (base 7) in base 6?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4364331431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**2 - 7088. Let r(x) = -8*x - 6. Calculate l(r(w)).\nAnswer: 16*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 1 = 0. Is (5 + p)*234\/36 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 4. Let t = -61 + 80. Suppose -x*i - t + 107 = 0. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2374252 and 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2636 divide 21897252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12372278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*x + 100*x - 2460 = -37*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 17, t: 3}. Give prob of picking 2 t.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**4\/24 + b**3\/3 + 3*b**2. Let k be l(2). Solve 3*a - 4*o - 7 = k, 3*a + o - 2 = -0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cirui. Give prob of picking 2 i and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let a = k + -4. Let v = -1.144 + -3.856. What is the nearest to 4 in v, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + o)*(-450 + 999 - 764) + (6 - 2 - 2)*(5*o - 1 + 1).\nAnswer: -205*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0169263 (b) 38 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 3*h - 5*h - 2*h. Let n(y) = 2*y - y + 7*y - 7*y. What is b(n(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 58, 82, 104, 124?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(117) + 0)**2*2.\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 489, 488, 485, 480, 473, 464, 453?\n\"Answer: -x**2 + 2*x + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, 4, -1, 1 in descending order.\nAnswer: 5, 4, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 224*j**3 - 5*j + 5. Let n(k) = 225*k**3 - 6*k + 6. What is 4*h(s) - 3*n(s)?\nAnswer: 221*s**3 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5731251 to the power of 1\/2, to the nearest integer?\nAnswer: 2394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6409867 times 0.3\nAnswer: -1922960.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 20 = 6*w + f, -w + 2*f + 14 = 0. Suppose 2*y + 2 - w = 0. Let g(r) = -2*r - y*r + 6*r - 3*r. Let i(v) = 2*v. What is g(i(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1427002 (base 9) to base 12\nAnswer: 31a948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147 + 319 - 2*q - 7*q**2 - 171 to y*q**2 + h*q + g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 18*u + 8. Determine x(13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 95 = -6*o - 3*r, 3*o = -r + 153. Calculate the greatest common factor of 416 and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630 and 9.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 142643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-576)\/8*(-8)\/6. Suppose 3*n = -5*a + 75, -5*a = -3*n + 9 + g. Calculate the least common multiple of n and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + 0*f**3 - 3*f**3)*(0 - 3 + 5) - 3*f**3 - 5 + 5.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 + 13 - (-1 + 3)) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*u + 154*u = p + 12, u - p = -6. Suppose 3*a - 23 - 20 = 5*t, 5*t + 55 = 5*a. Let f be u\/(-3)*a\/3. Solve 0 = -n - n + f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 270*r. Let n(j) = 7*j. Give -4*n(g) + y(g).\nAnswer: 242*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -13*a + 16*a - 18, -5*g + 25 = 8*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 2. Let z be b(3). Let c be 5\/1 + -4*(1 + -4 + 2). Solve -c = -z*n + 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3. Let w be h(0). Suppose 2*r + w*r - 410 = 0. Suppose -3*z - 159 = -4*d, 4*z = 5*d - z - r. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psii when four letters picked without replacement from {p: 2, i: 4, w: 4, s: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:57 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*t = 6608573, 0 = -4*m + 4*t + 985637 + 5622963. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 6 + 0 + 3*c**4 - 59 - 2*c**4 + 61 - 5*c**4 - c - c**4 + c + (2*c + c**3 - 2*c)*(-3 - 2*c + 3).\nAnswer: -8*c**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**4 - b**4 + 2*b**4)*(13 + 28 + 10) to the form t*b**4 + q*b + f*b**2 + s*b**3 + v and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + r + 1 + 0 - 7*r - 26*r + 0*r + 2*r - r + 5*r - r - 1 + 1 + (1 - 3 + 0)*(4*r - 3*r - 2*r).\nAnswer: -25*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuucacuucuuccuuuc. Give prob of picking 1 u and 1 c.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-3))\/((-1)\/2). Let b(j) = -j**2 - 4*j + 1. Let w be b(v). Let y be (1 - 4\/2) + w. Solve 2*c - 4 + 2 = y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 24 = 39*k - 35*k - 6*h, 5*h - 5 = -125*k + 127*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33130 (base 4) to base 2\nAnswer: 1111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 n when three letters picked without replacement from {f: 1, n: 2, m: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 18*r - 132. Are r and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*o - 116, 10*u = 2*o + 11*u - 116. What is the first derivative of -7*i + 115 + i**4 + 12*i + o wrt i?\nAnswer: 4*i**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824371 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 553 (c) -2 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44491 is divided by 1117?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-8))\/(2\/(-520)*1). Suppose -o = y - 40*y. What is the third smallest value in y, 2\/3, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 1239, 4118, 9715, 18942, 32711, 51934, 77523?\nAnswer: 110390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11001111011011 (base 2) to base 10\nAnswer: -13275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 6*h**2 - 2*h - 7. Let v be o(8). Let n = v - 148. Is n not equal to -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 5*i - 105 = 0. Let l be (2 + (-260)\/i)\/(6\/27). Let j = l - 71. Solve -2*h + j - 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1219859 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/10)\/((-266)\/7))\/(3*5\/(-30))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498 - 206 + 396 = -82*l + 594 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8)*1\/(-2). Which is the closest to 3\/17? (a) m (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 11*r + r**2 + 0*r**3 - 1\/4*r**4 + 0. Let w be (-2)\/7 - 240\/42. Let o(d) = 19*d**2 - 13. Determine w*o(g) - 39*b(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-16)*(-2)\/(-3). Suppose 4 = 5*d - 56. Let g be 2\/16*d\/(-9). Is g < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*s**3 + 27*s**5 - 28*s**2 + 15*s**4 - 8*s + 2*s**3 - 2*s**3 + 12*s**4.\nAnswer: s*(s - 1)*(3*s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (0 + -4 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -3\/8, 1\/4, 1\/3, 1, -5.\nAnswer: -5, -3\/4, -3\/8, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.086+345368879\nAnswer: 345368878.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1484*d**5*k - 82*d**2*k**3 - 2*d*k - d - 134*k**3 - 221 wrt d.\nAnswer: 29680*d**3*k - 164*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f - 12. Let q = -340\/1239 - 2\/177. Let s = 214 - 213. Which is the closest to f? (a) q (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -316*q**2 + q + 8. Let t(y) = 947*y**2 - 3*y - 22. What is 4*t(j) + 11*v(j)?\nAnswer: 312*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0*j - j)*(2*j - 53172*j**2 + 53100*j**2 - j) to z + w*j + t*j**2 + i*j**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - c**3 - 2)*(-1161 + c + c + 1219) in the form l + g*c**4 + a*c**2 + x*c**3 + f*c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-15))\/((-234)\/45 - -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*w - 4*w - 9 = 0, -5*t = -5*w + 15. Suppose -f + t*f - 9 = 0. Let g(b) = b**2 - 6*b - 2. Is g(f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -129*u**3 + 5*u**2 + 5*u. Let k be o(-1). Calculate the highest common factor of 86 and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3492 and 144434358.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16316588?\nAnswer: 2, 1307, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 4*w + 4. Let j(r) = 4*r**2 + 5*r + 3. What is -5*f(i) + 6*j(i)?\nAnswer: -i**2 + 10*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*j - 303*j**3 - 272*j + 549*j.\nAnswer: -303*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2254\/6)\/(-3*(1615\/405 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -25 + 10 - s + 15. Let y(d) = 7*d. Let o(k) be the second derivative of k**3\/6 + 3*k. Let g(j) = -18*o(j) + 2*y(j). Determine g(q(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n**2. Let k be a(-1). Let s(o) = -6*o**2 + 8*o - 5. Let t(v) = v**2 + 1. Let w(i) = -s(i) - 5*t(i). Let j be w(k). Solve j = 4*h + 9 + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -0.21\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4141 or 335512\/81?\nAnswer: 335512\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -492*g**2*j - 544*g**2 with respect to j.\nAnswer: -492*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 105*s**2 + 7*s - 7. Let j be n(5). Suppose -5*d + j = 2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 142*b**2 - 314*b + 92. Is 91 a factor of f(-71)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -190 + 207. Solve s*n - 13*n + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 61. Which is the third biggest value? (a) m (b) 1\/5 (c) -1\/5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*b + 3, -c + 347 = -3*b + 354 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) - -7 - (37 - 33). What is the second derivative of 14*n**3 - 36*n**f - 805*n + 822*n wrt n?\nAnswer: -132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5846971567 to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + 7*o - 5. Let q be (24\/(-3))\/(-3 - -1). Calculate f(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.06, -69, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5357, 1219, 2 in descending order.\nAnswer: 5357, 1219, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgggxpgxgxppppl. Give prob of sequence gxgg.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 22. Let k(y) = -2. Let a(b) = 66*k(b) - 6*x(b). Let o(l) = -8*l. What is a(o(g))?\nAnswer: 384*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0 (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 3. Let v(b) = 2*b - 2 + 5*b - 12 + 3*b. Let d(r) = -6*v(r) - 28*w(r). Let o(i) be the third derivative of i**4\/24 - i**2. Determine o(d(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -47719 divided by -17\nAnswer: 2807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134171388 and 8?\nAnswer: 268342776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3358 + -3359 - (31 + -1 + -1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 divided by 167?\nAnswer: 223\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (8 + -3)) + 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 - 3*k - 2. Suppose 0*o + 2*o = 0. Suppose 0 = -2*n - o*n + 14. Calculate the remainder when h(-2) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5 + 3*i - 5 + 10 + 2*i**2. Let a be l(-3). What is the greatest common divisor of 63 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 10*b**2 - 6*b. Give m(10).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**2\/2 - 11*s - 21. Suppose 2*x + 62 = 4*n, 5*n - x = 2*x + 80. Let o = n + -7. Determine q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 748123*j**2*z - 79*j**2 - 5063*j + z wrt z.\nAnswer: 748123*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 907\/5 or 180?\nAnswer: 907\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7225378 divided by 3?\nAnswer: 7225378\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31606, 126056, 283466, 503836, 787166?\n\"Answer: 31480*j**2 + 10*j + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + r**4 + 0*r**4)*((-3 + 1 + 0)*(-1 + 0 + 0) + 3 + 2 - 2).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 2, b: 1, e: 3, c: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 337*g**2 - g - 11. Calculate b(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -361015 bigger than -361017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 8. Let c(d) = -d**3 - 5*d**2 + 2*d + 4. Let o be c(-5). Is a(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000135356 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*r - 100*r + 162*r - r**4 + 4*r**2 - 5*r**3 to the form p*r**4 + k + n*r + m*r**2 + j*r**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -3.535?\nAnswer: 3.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - k + 2238, 2*b + 21*k - 1128 = 25*k. Is b a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i**(2\/3))**(-4\/9)*((i\/(((i**(-6)\/i)\/i*i)\/i))\/i*i)\/(i**1*i)*i**(3\/4)\/(i*i*i*i**(-1\/4)) assuming i is positive.\nAnswer: i**(103\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i, -3*k + i - 423 = -1102. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4614248994 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l + 215. Let s be (108\/(-42))\/(6\/28). Let a = s - l. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s - 1 = 3*d, 5*d = -5*s - 5. Sort s, 3, 8, 2 in increasing order.\nAnswer: s, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1191 - 1c?\nAnswer: -11ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l**2 - 4*l**3 + l**3 + 7*l**2 - 6*l**2 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = 4*p + 42, 4*i + 122 = p + 126 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30211121011 (base 4) to base 10.\nAnswer: -3298885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - 4*n + n + (44 - 126 + 62)*(-1 + 1 + n) in the form u + k*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 + 3)*(8*x - 8*x - 4*x**4 - 3*x**2) to h + f*x**3 + v*x**2 + a*x + l*x**4 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -856 + 596. Calculate the common denominator of s\/(-77) - (-2)\/(-7) and 55\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(q**3 + 2*q**3 - 4*q**3) + (2 - 2 - q)*(-2*q**2 - 4*q + 4*q) + (0 - q + 0)*(-3*q - 2*q**2 + 3*q) + 126*q - 30*q**3 - 126*q.\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let u = 489 - 491. Put -1, w, u in decreasing order.\nAnswer: w, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 + 22*l - 2*l + 46*l - 101)*(4*l**3 - l**3 - 4*l**3).\nAnswer: -66*l**4 + 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65936075 and 45475?\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 59. Let u be (-1304)\/(-17604) - (-12956)\/54. What is the greatest common divisor of y and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 38 = -10*v + 4*c, -5*v - 5*c + 125 = 0. Solve -33*j + v*j + 50 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 362\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8832818 decades?\nAnswer: 0.08832818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + 1\/5*-978. Is -189 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1479\/(-986))\/(3*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7748*t**2 + 262593*t wrt t?\nAnswer: -15496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/4*(-4)\/2. Let t be (-12)\/(-21) - (-60)\/(-7). Let p = t - a. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7242*t**4 + 7*t**3 + 99587*t**2.\nAnswer: 173808*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2201, 8822, 19857, 35306, 55169, 79446?\nAnswer: 108137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + v - 2 = 0, -4*v + 2 + 9 = 5*s. Suppose 0 = -3*t + s, 76 = 3*h + 3*t + 61. Solve y = h - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4)*y)**(-7\/6)\/(y**(-3\/5))**19 assuming y is positive.\nAnswer: y**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900 is divided by 1896.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*s + 1475 = 0, -s - s = -3*c + 4411. List the prime factors of c.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 + 21*c + 4. Calculate the remainder when 43 is divided by d(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*-1 + (-5*-1*sqrt(5) - sqrt(5)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 929382415 to the power of 1\/3, to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1039492888 to the nearest integer?\nAnswer: 32241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1\/4, 7\/5, 1.502 in increasing order.\nAnswer: -1\/4, 0, 7\/5, 1.502, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + o. Let k(q) = 10*q**2 - 3*q. Let l(f) = -k(f) - 3*v(f). Let g(a) = -2*a**2. Determine g(l(z)).\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:35 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -359044.74*-2\nAnswer: 718089.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582609494 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 6. Let z = -55 - -93. Let r = -27 + z. What is the remainder when r is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.048. Let c = r + 3.148. Let g = 6.2 - c. What is the second biggest value in -1, g, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*a**2 - 2 - 49*a**2 + 2.\nAnswer: -172*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109516 and 29722066?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from fzzszsszshs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 172\/(-36) + 2\/(-9). Suppose 0*t = 3*t + 36. Let f = -59\/5 - t. What is the biggest value in z, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -174*l**3 - 102*l**3 + 5*l + 341*l**3 + l**5 + (l**3 + 3*l**3 - 2*l**3)*(3*l**2 + 0*l**2 - 5*l**2).\nAnswer: -3*l**5 + 65*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3723186 is divided by 674?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -11. Suppose 100 = 3*b - o. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, 4, -5, -147, 2, 1.\nAnswer: -147, -5, 1, 2, 4, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7173.476 days in microseconds?\nAnswer: 619788326400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) -21\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from vhhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 158*g**3 + 202*g**3 - 364*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1968.1 + 1968. What is the third smallest value in -0.212, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 46769 = -2*z, -5*z - 37422 = -12*c + 8*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/133757 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 230929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82265 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -27 + 27 - 31228*p + 29886*p. Let s(o) = -6*o**2. What is s(f(z))?\nAnswer: -10805784*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4646.999990459 - -4647. What is n rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8835 and 105?\nAnswer: 61845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 58*j**4 - 1 + 2*j**2 + 60*j**4 + 2*j**3 to k*j**4 + i*j + o*j**2 + d*j**3 + v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47295808479 - 47295808245.99999837. Let s = 233 - l. What is s rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3*18*7008\/5184.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 7*q**2 + 3*q + 15. Calculate d(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)*2 + ((sqrt(78)*-2 + sqrt(78))*-4 - sqrt(78)))\/((sqrt(294) + (1*sqrt(294) - sqrt(294)))*5).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d - s, -5*d + 21 = -d - 5*s. Which is the nearest to -1? (a) 3 (b) -4\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -416 - 1018.358\nAnswer: -1434.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d. Let x be t(1). Suppose 4*b - 5*k - 20 = 0, 3*b = 3*k + 20 - 5. Solve -y - 20 = -b*h, x = 4*h - 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230846 by -14.\nAnswer: 16489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3398*a**3*l**2 + 3315*a**3*l - a**2*l**2 - 42322*a**2 + 391*a*l**2 wrt a.\nAnswer: -20388*l**2 + 19890*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.098 - -0.102. Let g = -0.1 + 0.3. Is g > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 8 - (4 + -4 - 2). Let o be l\/(-4) - (-20)\/(-9). What is the biggest value in -27, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4151*s + 103769. Determine z(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.08, 4\/3, 11, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36285333?\nAnswer: 3, 7, 246839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-273)\/(-78) + 12\/8. Let d be 2\/4 - 2\/(-4). Solve d = c - 3*m, -z*c - m = -3*m + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(30) - (sqrt(270) + sqrt(30))) + -5*sqrt(480))\/(sqrt(60)\/(sqrt(160)*-2)))**2.\nAnswer: 392000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 89, -0.3, 0.2, 3?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.0368mg in grams?\nAnswer: 0.1360368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 2*(sqrt(405) + 1)**2.\nAnswer: 45*sqrt(5) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175.8 + 1.2. Let k = 177.8 - z. Which is the third biggest value? (a) 3\/5 (b) -2\/3 (c) k (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h. Let d(s) = -20*s + 1. Calculate d(o) - 6*g(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b73 + -3b8?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -0.1 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -963389 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -15\/4*i**2 - 25\/4 + 45\/4*i - 5\/4*i**3 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 10:36 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1469*c + 3888*c + 243*c + 2803*c - 1420*c)*(2*c**2 - 2 + 2).\nAnswer: 13966*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 5. Suppose 3*m + 52 = 5*m. Suppose -28 + m = j. Let x(a) = a**2. Let r(k) = j*x(k) - 2*u(k). Find the first derivative of r(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/81137421 and -65\/4527.\nAnswer: 81137421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y - 4*y)*(1615 - 882 - 853).\nAnswer: 360*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:44 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -157\/896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 4. Suppose -4*w + w + 0*w = 0. What is x(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 + 64\/36 + 18. Solve -v = -4*w - 0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 8. Suppose x = 3*d - 18. Let a(t) = -3*t**3 - 5*t**2 + 5. Let n(q) = 5*q**3 + 8*q**2 - 8. Give d*a(m) + 5*n(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52438314 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.63 from -0.0368456.\nAnswer: -15.6668456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11710786?\nAnswer: 2, 5855393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s - 5 = 0. Let v = -23 - -19. Let x = s - v. Solve 3*b - 3 = 4*f - 3*f, x = -2*b + 3*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 0.033. Sort -2\/3, 2\/3, m, 1 in descending order.\nAnswer: 1, 2\/3, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15067, -30223, -45469, -60805, -76231?\nAnswer: -91747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a - 28. Let u be t(-8). Suppose -3*s + u + 88 = 0. What is the second derivative of -3*b + 20*b**2 - 27*b + s*b wrt b?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-5))\/((-149156)\/3805)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + x)*(-30 - 28 + 25) in the form l*x + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3*r\/r**(4\/7)*((r\/(r*r**3))\/r)**(-47) assuming r is positive.\nAnswer: r**(1340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33902123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 + 5*h**2 - 3*h - 6. What is k(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1163716*z**2 + 0*z**3 + 1164518*z**2 + 4*z**3.\nAnswer: 4*z**3 + 802*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2888 divided by 1?\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**2. Let u(a) be the first derivative of 14*a**3\/3 + 319. Give u(x(h)).\nAnswer: 1134*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206971 is divided by 15791?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28284 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 9, n: 2, r: 1, o: 7}. What is prob of sequence njjn?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 122, 422, 1008, 1976, 3422, 5442?\n\"Answer: 16*o**3 - o**2 + o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d - 1. Let w(h) = -5580*h + 7. Determine 21*c(x) + 3*w(x).\nAnswer: -16593*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (693\/28)\/(1\/4). Suppose -f + 3*t - r = -3*f, 3*f - 146 = -5*t. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*h**3 - 1\/3*h + 2\/3 - 2\/3*h**2.\nAnswer: (h - 2)*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 14, -109?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:03 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -40\/5737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -88 - 21428844178\nAnswer: -21428844266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.8043863 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30445 + -24816. List the prime factors of o.\nAnswer: 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5939 - 13 = 571*i - 926 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1874*u + 829*u = -887*u + 1422 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 6*d - 7. Let z be 8 + 6 + -1*2*1. Is x(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 169, 177, 165, 121, 33, -111?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -4*u. What are the prime factors of (2 - 5)*(-211)\/u?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {p: 2, c: 3, j: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(1584))\/(6*sqrt(16) + sqrt(4) - -2*sqrt(196)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1756 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 11 - 11)*(-5*d**2 - 100*d**2 - 3*d**2).\nAnswer: 432*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58971)\/6*(-6 - (-10 - -6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -42*r - 62. Let l(b) = 17*b + 25. Let y(j) = 5*d(j) + 12*l(j). What is the first derivative of y(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 105303299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - p = 13, 10*l - 6*l - 24 = 3*p. Factor -37*b**l - 136*b**2 + 176*b**2 + 5*b**5 + 107*b**3 + 35*b**4.\nAnswer: 5*b**2*(b + 1)*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.7 and -84.75.\nAnswer: -567.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*c - 5*c + 6*c)*(2 - 6 + 2) + (c + 44 - 44)*(-4 + 2 + 4) as h + v*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.8 + 19. Put 0.3, l, -30 in ascending order.\nAnswer: -30, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -40. Let b = g - 50. Solve -2*m = -7*m - x + b, m - 5 = x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.23 + -40.23. Let u = c + 39.999992. Round u to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -2.41, 0.12, -1\/3, -0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*g**3 - 34*g**3 + 69*g**2 + 11*g**3 wrt g.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l - 26. Let a(v) = -v + 4. Let y(n) = -4*a(n) - x(n). What is the lowest common multiple of y(-2) and 25?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.3. Let l be -2*(0 + 10 + 17536\/(-1792)). Which is the third biggest value? (a) 7 (b) l (c) -0.5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 9. Let y be h(-9). Let x = 3 + y. Let r = -1 + x. Solve 0 = -3*z - 3, r*l - 5*z = -10*z + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2 + 1344*n + 8208 = 0.\nAnswer: -6, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 70 + 242 = 0. Calculate the common denominator of 21\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 83*g - 405. What is i(69)?\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -268?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*((368\/84)\/(-23))\/((-3)\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -l. Let k(c) = c**2 - 12*c + 15. Let y be k(11). Suppose y*s + 2 = l*s. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -11 + 1\/2*w**2 + 8*w. Determine t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/14 + (-1)\/(28\/(-248)). Calculate the highest common divisor of 207 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 1. Suppose 9 = -z + 4. Is x(z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - (-3 + 4) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/20 + 114*g**2. Let x(i) = -i**2 - 56*i. What is s(x(a))?\nAnswer: 3*a**4 + 336*a**3 + 9408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 151, 0 in decreasing order.\nAnswer: 151, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 - 2*v - 2. Let m(z) be the third derivative of 7*z**5\/60 + z**4\/12 + z**3\/3 + 13*z**2. Determine -5*b(a) - 4*m(a).\nAnswer: 2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 990, 5, 2, 3 in descending order.\nAnswer: 990, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -188, 6, 178, 316, 408, 442, 406, 288?\n\"Answer: -2*j**3 + j**2 + 205*j - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 4*p**2 + 211 - 211.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2261529439\/49 - 46175025. Let y be ((-4)\/6)\/((-2)\/64086). Let s = y + l. Calculate the common denominator of -53\/5 and s.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -608*u**2 + 67*u + 37. Calculate q(-2).\nAnswer: -2529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/3 - 5236*a**2\/3 = 0.\nAnswer: 0, 2618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(1\/(-2) - 1). Suppose -v*d + 8 = -0*d. What is the remainder when 14 - 2 - (2 - 3) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1 + (1 + 0 + 0)*(-3 + 0 + 1))*(15 + 18*g - 15).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3423001 (base 5) to base 8.\nAnswer: 167111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 329*j - 79*j - 89*j - 72*j - 79*j - 108*j**2 as g*j**2 + d*j + f and give g.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 a when three letters picked without replacement from {r: 2, a: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 + -289. Let b be (2 - (-15)\/(-7)) + (-34)\/j. What is the nearest to b in -2, 10, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19652850.\nAnswer: 2, 3, 5, 7, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-2) - 1 - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 - -88. Let q = g - -6. Sort 1, q, -10.\nAnswer: -10, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12c8 + 1?\nAnswer: -12c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*z - 6626, -h + 699 = -5*z - 5933. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 40275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222 - -229.8. Let w = x + -7.80068. Round w to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*h - 143, 22 = 4*h + 3*x - 129. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6263, 6070, 5735, 5264, 4663, 3938, 3095, 2140?\n\"Answer: n**3 - 77*n**2 + 31*n + 6308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2aa37 - a466?\nAnswer: 20581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*v + 3*v + 37 = 0, -5*f + 43 = 3*v. Let p be 0 + (-2)\/6 + (-5)\/(-15). Solve 5*u - f = 2*h, -h + p*u = -2*u + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhhhhhhhhhmmmhhhh. What is prob of picking 3 m?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*a - 15 + 80, 0 = 4*n - 12. What is the remainder when 37 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -656620*i**3*n + 769*i**3 - 4*i**2*n**2 - 19*i**2 - 2*i wrt n?\nAnswer: -656620*i**3 - 8*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 447*g**3 - 50*g + 1 wrt g?\nAnswer: 2682*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163 + -162.95. Put -3, -1\/5, u, 5 in descending order.\nAnswer: 5, u, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/30 and 68\/3126603.\nAnswer: 31266030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27442855 a multiple of 936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 9. Let c be 46\/42 + t\/(-21). Put -1\/3, 8, c in ascending order.\nAnswer: -1\/3, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-576 - 7704 + 4746 - 9818 - 9037 - 1343)*(2*g**2 + 2*g**2 - 5*g**2) as i*g + v + f*g**2 and give f.\nAnswer: 23732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(1575)\/sqrt(9)) - (sqrt(88) - -3*sqrt(88)*4 - sqrt(88))\/sqrt(8).\nAnswer: -59*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.4917ns in microseconds?\nAnswer: 0.7174917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27548140 divided by -5\nAnswer: 5509628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4612.1 times -5\nAnswer: -23060.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -37. Let x(n) = n**2 - 5*n + 1. Let z be x(f). Is (1\/z)\/(-2)*-1658 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11743?\nAnswer: 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = k - 19, 0 = -5*u - 2*k + 14 - 54. Let y(z) = 2*z**2 + z - 26. Is y(u) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29128567 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -29 - (-28 + 29 + -27 - (-37 - -11))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -2*t**7\/21 - 76*t**6\/45 - 44*t**5\/5 - 8*t**4 - 63*t + 14. Let w(y) be the first derivative of z(y). Factor w(n).\nAnswer: -4*n**2*(n + 6)**2*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**4\/96 - y**3\/24 - 3*y + 27. Let j(u) be the first derivative of f(u). Suppose j(n) = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + 4 - (0 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 5*y**2 + 2*y + 1. What is f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 2*i + 0*i - 1 + 2*i**3)*(5*i - 2*i + 0*i).\nAnswer: 6*i**4 + 6*i**2 + 51*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*s**3 - 25587 + 810*s**3 + 25587.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 - 2*u + 3. Let n be o(2). Let q(r) = r. Let w be q(1). Let t = -22 + 17. Which is the closest to n? (a) t (b) w (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*c**3 - 307*c**3 + 474*c**3.\nAnswer: 658*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2122, -2492, -2878, -3286, -3722, -4192?\n\"Answer: -s**3 - 2*s**2 - 357*s - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.322435 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = -20. Let h(o) = d*o**2 + 8*o**2 - 11*o**2. Let s(j) = -j. Let p(u) = -3*u. Let a(r) = 4*p(r) - 10*s(r). What is a(h(g))?\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 + 861\/4662. Let p be 2\/5 - 7\/5. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 52*w**3 + w**2 - w. Suppose -5 = k, -k = -l + 6*l. Let x be v(l). Suppose -q = q - x. What is the remainder when q is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/(-12)*(-1 + (-6)\/(-10)). Let o(m) be the second derivative of 0 - 1\/3*m**3 - m + m**a. Differentiate o(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 3 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.6. Let m = 22110 - 331522\/15. Let d = m + -46\/5. Put 2, d, q in descending order.\nAnswer: 2, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 27\/30)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -1 + 4 - sqrt(108)*-2 - (0 + sqrt(972))*-6)**2*-3.\nAnswer: -136188 - 2214*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 + -0.1688. Round f to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = -2*b + 7, -4*b + 20 = 0. Solve -4*c = -3*n + 6, 4*c = 4*n - q*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296957 and 14900.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s**2 + 6. Let f(w) = 23*w**2 + 17. Let t(q) = -6*f(q) + 17*r(q). Let c(a) = -26*a**2. Give t(c(l)).\nAnswer: -1352*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a**2 - 2*a. Let w(m) be the first derivative of 4*m**3\/3 - 1421. Give w(f(y)).\nAnswer: 324*y**4 - 144*y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33033 (base 6) to base 4.\nAnswer: -1013031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -15. Let t = y - -11. Let n(f) = 3*f + 3. Let p be n(t). What is the highest common factor of 30 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 + 9742*a**2\/3 + 285185*a\/2 + 631800.\nAnswer: (a + 5)*(a + 39)*(a + 19440)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 smaller than -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*j - j - 83 = 0, j = -3*d + 45. Factor 3*m**2 - 6*m**2 + 4*m**2 + 3*m**2 + 8*m - 2*m**3 - d.\nAnswer: -2*(m - 2)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001705036473 to six dps.\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - s = 2 + 3, -s - 3 = 0. Let r be (-120)\/y*9\/12. Calculate the remainder when 27 is divided by 56\/42*r\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318370991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 890 and 623?\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 0*s**4 + s + 0 + 1 - s**4 to the form f*s**3 + g + r*s**2 + o*s + m*s**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus 622149661891?\nAnswer: 622149661891.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-2)*n*n))**0)**49 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45550764 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 110*z - 34*z + 48 + 53*z + 3 + 16. Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 24. Suppose 2 = 6*g - d. Suppose 0*t - 5*t + 250 = 0. Calculate the greatest common factor of t and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13996.\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 5. Let c = -82.7 - -83. What is the nearest to 1 in 3, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 + 5.19. Let a = 3 - 1. Let g = a + -3. What is the third smallest value in g, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o - 13. Suppose 87 = -5*i - 18. Let h be (i + 22)*(-4 + -1). Let k be r(h). Let d(g) = g**2 + g + 2. Give d(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 153, 154, 155, 156, 157?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52490189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/2 - 136*x**2 + 19197*x\/2 - 186615 = 0?\nAnswer: 33, 65, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 18*v + 52. Let c be 0\/(-1*(-3 + 2)). Suppose n + 739 = -c*i + v*i, 4*i - 738 = 2*n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 3. Suppose 11 = x + 2*j, g = 5*x + j - 5. Let c(z) = 7*z**3 - z**2 + z - 1. Let y be c(x). What is the highest common divisor of 48 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/3, 6914\/11, 2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + 0 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -423, -838, -1247, -1644, -2023, -2378, -2703?\n\"Answer: c**3 - 3*c**2 - 413*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.142 + 0.213. Let o = 8.095 + v. Round o to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 645 = -m - 2*m, 207 = -u - 5*m. Let w be u\/(-1) + 1 - -2. Suppose -s = s - w. Round s to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1689007?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 132. Let y = -172.4 - j. What is y rounded to 0 dps?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0643 + -0.1357. What is the closest to -0.2 in 2, 12, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 + 2*h + 2. Let m be p(-3). Suppose -280 = -82*f + 198 + 998. Sort m, 3, f.\nAnswer: m, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:24 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4 + 16. Let t(q) = -v*q + 178*q**3 + 3 + 0 - 179*q**3 + 8*q**2 + 11. Let u be t(8). What is the biggest value in -1, u, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931)*2*-4)**2 - (sqrt(931) - (sqrt(931) + 3 + -2))) + -5*(5 + (-1*sqrt(931) + -1)**2 + sqrt(931)).\nAnswer: -64268 - 98*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8232)\/196*(-30)\/20?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7051224 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: What is prob of picking 2 t when two letters picked without replacement from hhtzhthttw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13319 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*i = 137*i + 2585*i + 11525 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1959*t + 191394 = -2598*t for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 507\/5 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 2383944?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92749965 is divided by 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 - -256. Suppose n + 8*n = -297. Let y = n + f. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 e when four letters picked without replacement from vfveffxvexvfxefxxex?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*a)*(2*a - 4 + 4)*(-2 + 0 + 0)*(2 - 3 - 3) + 10*a**2 - 10 + 10 in the form p*a**2 + k + v*a and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*6194.\nAnswer: -3097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 775 - 769. Let q = -16.91 - -17. Let i = -0.31 - q. What is the smallest value in i, 0.1, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1. Let b(h) = -h - 4. What is 4*b(q) + 22*g(q)?\nAnswer: -4*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133960 divided by -2133960?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -36*f**2 + 2557*f - 139. Give g(71).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2439d + -159?\nAnswer: 24244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1655 divided by -5\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q - 68 + 359 - 72 - 149 - 70.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:43 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**6\/360 - p**5\/120 + p**4\/6 + 17*p**3\/3 - 22. Let m(q) be the third derivative of o(q). Determine m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.33 - 22.67. Let x = 0.313 + 52.087. Let s = j + x. Which is smaller: 0.05 or s?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 10:22 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1117 and 196886.\nAnswer: 219921662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1795082 and -23\/9312.\nAnswer: 86163936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1021 + 1113. What is the highest common factor of g and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1383338 or 1383340?\nAnswer: 1383340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1\/((-10)\/50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*j + 101 + 7, -2*x = 4*j - 88. What is the smallest common multiple of 2\/2 + -7 + (-485 - -495) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = -0*g, 0 = l - 2*g - 12. Suppose -2*a = -0*a + 24. Let s = 18 + a. Calculate the remainder when l is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 6:42 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**2 - 6*c + 6*c)*(-82 - 29 + 35).\nAnswer: 608*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 8083?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4 + 1*sqrt(1053))**2 - (0 + sqrt(1053) + 2)**2)*6.\nAnswer: -864*sqrt(13) - 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(1\/7)*c*c**(-2\/17)*(c*c**1*c)**(-6\/11)*((c\/(c\/c**(1\/4)))\/c*c**(-3))**(25\/4) assuming c is positive.\nAnswer: c**(-488715\/20944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Suppose -3*y + 31 = 49, 3*y = -f - 14. Which is the nearest to s? (a) f (b) -0.4 (c) -0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -664101 divided by -7.\nAnswer: 664101\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/6 - 7*u**4\/2 + 29*u**3 - 355*u**2\/3 + 475*u\/2 - 375\/2.\nAnswer: (u - 5)**3*(u - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40 and -0.087?\nAnswer: 39.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + 6*b - 4. Let y(s) = 7*s**2 + 50*s + 82. Let u be y(-5). Let z(f) = -9*f**2 - 11*f + 7. Give u*p(m) + 4*z(m).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4778, 9547, 14312, 19079, 23854?\n\"Answer: y**3 - 8*y**2 + 4786*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 16*u**2 + 14*u + 23. Let t be z(15). Suppose -t*g + 9*g = 4. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.248 - 7.248. Put w, 1, 2\/3, -5, 20\/7 in decreasing order.\nAnswer: 20\/7, 1, 2\/3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6727, -13319, -19917, -26527, -33155?\nAnswer: -39807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5409320 is divided by 2704656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 + 192. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**6\/36 + b**5\/24 + 5*b**4\/24 - 25*b**3\/36 + 5*b**2\/6 + 2*b. Determine j, given that s(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 59*h**2 - 19*h + 54. Let s be i(3). Suppose -49485 = 525*j - s*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*2\/63)\/((-168)\/(-196)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -15272\/17?\nAnswer: -15272\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rree when four letters picked without replacement from {r: 2, e: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006355 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1149*m + 2323*m + 3 - 34*m**2 + 7 - 6*m**3 - 1174*m to the form l*m**3 + d*m**2 + o*m + z and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 - 34*a**2\/9 + 74*a\/9 - 38\/9.\nAnswer: -2*(a - 1)**2*(a + 19)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79208 - 229774*n**2 + 79208.\nAnswer: -229774*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/1965 + -3881\/13755. Let a = -86 - -1033\/12. What is the closest to c in a, -2, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*h**3*t + 582*h**3 - 2*h**2*t**3 wrt t?\nAnswer: -17*h**3 - 6*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 3429, 11512, 27243, 53172, 91849, 145824, 217647?\nAnswer: 309868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 361, 365, 371, 379?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 4*t + 5*x + 10, -4*t = -5*x - 8. Suppose -2*r = t*r. Solve 0 = 3*w - 2*c + 2, -w + 3*c - 1 - 2 = r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1763*a**3 + 26*a**2 + 39*a - 3. Let h(b) = 3524*b**3 + 54*b**2 + 71*b - 7. Let n(c) = -3*h(c) + 7*j(c). Find the third derivative of n(o) wrt o.\nAnswer: 10614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -1)\/(3\/3). Let u(f) = f + 10. Let c be u(-13). Sort m, -5, c.\nAnswer: -5, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/4 + 10*o**3\/3 - 7*o**2 - 6*o - 2. Suppose -3*c + 9*q = 5*q + 53, q - 5 = 0. Is 11 a factor of y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -718, -1434, -2150?\nAnswer: -2866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567*i + 1567*i + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 9*y = -18*y + 76185. What are the prime factors of y?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6090004 is divided by 818?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 57*t**2 + t + 16. What is the units digit of s(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591894 to the power of 1\/2, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174229286 take away -0.3?\nAnswer: 174229286.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 25. Let c(i) = i**2 + 15*i - 38. Let l be c(-17). Sort 4, l, h in increasing order.\nAnswer: l, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 720936509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -657*d**3 + 21*d - 37. Is h(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-22) - 18\/99. Suppose -j + 2*j - 13 = -4*c, j + c - n = 0. What is the tens digit of j\/(-12) + (-219)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -220*f + 441*f + 4 - 220*f + 1. Let x(p) = p**3 - 3*p**2 - 2*p - 2. Let w be x(3). Calculate o(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*o**2*v**2 - 164*o**2*v + 5781*o**2 + 24*o*v**2 + 44*o*v - 14*o - 790 wrt o.\nAnswer: -38*v**2 - 328*v + 11562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/23 (b) 10 (c) -0.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlld when four letters picked without replacement from {d: 5, l: 8, w: 1, h: 5}?\nAnswer: 175\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Let h be (-6)\/(k*2\/(-12)). Suppose -7*l + h = -4*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 672, 1000, 1312, 1602?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 + (-10)\/2. List the prime factors of d*3\/6*-4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6969721, -6969771, -6969823, -6969877, -6969933, -6969991?\nAnswer: -6970051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 55\/2. Let n = 143\/6 + g. What is the common denominator of -53\/11 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -4\/11*h + 3\/11*h**2 + 16\/33*h**3 + 3\/22*h**4 + 8. Solve v(l) = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = a + 5, -5*n + 4*a = -2*n - 2. Factor 0 - 3\/2*i**3 - 3*i + 9\/2*i**n.\nAnswer: -3*i*(i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 109733286404.\nAnswer: -109733286408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:22 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*4 + 5)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 30 (b) -3\/5 (c) 2 (d) -0.2 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 2083776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-7)\/(-14) - 0). Suppose 4*s + 11*a - 9*a - 1170 = 0, a + 1 = d. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1 - (-43)\/(1032\/48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 20. Suppose 2*p + 2*p + s*g = 8, -3*p + 3*g = -6. Let m be (108\/(-24))\/(p\/(-4)). Calculate the highest common divisor of m and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -462*n**2. Let p(m) be the second derivative of -m**3\/3 - 462*m. Determine p(v(t)).\nAnswer: 924*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -48 - -25 - -15\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 14 = m + 4*u, -9 = 3*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 7 + 2*d**2 - 7*d**2 + d**2 - 4*d. Let x = -279 - -284. Let w be l(x). What is the greatest common factor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-77) - 26\/(-22). Let a(o) = 7*o**3 + 2*o**2 - o. What is a(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615 and 8405?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 10*w + 18. Give c(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d + 1. Is 70146\/36 - d\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2. Let i be s\/(-4) - (-126)\/8. Suppose -4*t = -4*k - 2*t - i, 2*t - 8 = 0. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (664\/(-913))\/(8\/88)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1421625 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2 + 7*m + 1. Let i(a) = 10*a**2 - 15*a - 2. Let g(s) = -9*c(s) - 4*i(s). Let o(y) = y. Let r be o(3). What are the prime factors of g(r)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by -18\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/7)\/((-2)\/(-6)). Let c be ((-5)\/t)\/(2\/6). Solve 4*v - 7 - c = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*k + k. Let m be k\/(-36) - 7\/(-9). Let n be m\/6 + 58\/12. Solve n*a - 3*c = 0, -4*a - 2*c + 22 = -0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 7*p**3 + 0*p**3 + 6*p**3 + p**4 + 3*p**2 + 1 - 54*p + 1 in the form v*p + g*p**3 + u*p**4 + z*p**2 + c and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 - 177*i - 1425. Let j be o(-8). Calculate the greatest common factor of j and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1439 or 1435?\nAnswer: 1435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 19 = 5*i, -5*i = -2*w - 3*i - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-178)\/(4*4\/(-296)). What is the thousands digit of (r - 58)*2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261563 is divided by 99?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2241*h + 0 + 0 + 2131*h to b*h + g and give b.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -14671044.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126\/36*(0 - (-80)\/14). Let f(h) = -1. Let o(l) = 2*l**3 + 10. Calculate r*f(b) + 2*o(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204459151?\nAnswer: 13, 37, 425071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) + 18\/30*3. Let z be 213\/6 - (-1)\/q. What is the greatest common factor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 968 = -5*g + 1193, -225 = s - 5*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79096 and 4296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -268216 (base 9) in base 14?\nAnswer: -43809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25200 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8376*x + 217768. Give b(-26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13403052071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 25344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7090, 28002, 62736, 111292, 173670?\n\"Answer: 6911*m**2 + 179*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*12*(84\/980)\/((-27)\/(-30))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/36 - o**3\/9 - 5*o. Suppose d(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -9386\nAnswer: -7\/9386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - (-47 + 42)) + -42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let b be z(5). Let k(m) = m + 1. Let h be k(-5). Is b at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvk when three letters picked without replacement from {v: 7, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -3066, 5 in ascending order.\nAnswer: -3066, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18167 is divided by 14183?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4\/7 - 45*f**3\/7 - 138*f**2\/7 + 288*f\/7 + 384\/7 = 0.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1541 and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 3*(sqrt(11) + sqrt(539))) + sqrt(11) + sqrt(275) + 5)*2.\nAnswer: -34*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15893 and 129697?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 131791872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -6. Let y be (-94)\/n + 2\/(-4). Solve 2 = -5*p - y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 9*t**2 + 12*t - 9. Let i be o(10). Suppose r + 5*g - i + 25 = 0, 5*g = -20. Calculate the remainder when 33 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*z = -z + 64852. Is 53 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 + 6*m**2\/7 + 18*m\/7 - 54\/7.\nAnswer: -2*(m - 3)**2*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Suppose 0 = 2*f - n - 9, -2*f + 6 = -4*f - v*n. Solve -3 = -2*l - f*q - 19, 7 = -4*l + q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7*c = 2*c - 1924, 2*y + c - 3815 = 0. Calculate the highest common factor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57\/2 of a tonne?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from qoqnzwjz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -123232?\nAnswer: 123242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -2*(-81)\/6. Let d = k - -16. Let t be ((-20)\/6)\/(8\/d). Solve u = 2*a - 6 - 1, -t*a - 2*u = -31 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 563721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/720 + d**5\/120 - 19*d**4\/6 - 15*d. Let p(u) be the third derivative of o(u). Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1936017 + -4835252.8063983. Let n = 4835254.59999932 + o. Let p = 0.6 - n. Round p to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 14\/(-10) + (-2)\/(-5). Calculate the remainder when 1\/(r\/141)*(4 + -3) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 46*o - 346810 + 346810 - 45*o. Let q(x) be the third derivative of 17*x**4\/12 + x**2. What is w(q(k))?\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1080 - -1627. Is (-1)\/(y\/677 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167058441 to the nearest integer?\nAnswer: 12925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1216877585 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 5\/2, -47\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1 - 7) + 0 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(-1)))**(2\/9)\/(v*v\/v**(-4)*v**(1\/3)))**(-12\/5) assuming v is positive.\nAnswer: v**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**4 + 2*k**3 + 312*k**2 - 6167*k wrt k.\nAnswer: -48*k**2 + 12*k + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(76))\/(sqrt(4) + sqrt(24)\/(sqrt(12)\/sqrt(2))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116\/3 + -818\/21. Let z be (-96)\/28 - 1 - (-27)\/63. Put a, z, -6 in decreasing order.\nAnswer: a, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/15*1 - (-3)\/15. Suppose 0*m + 5*m = 15, p = k - m + 44. Suppose 2*s - 5*q + 148 = -2*s, 118 = -3*s + 2*q. Are s and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152086 - -221930. What is the lowest common multiple of x and 6?\nAnswer: 209532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -44. Suppose c = -y*u + 2*u + 55, 159 = 3*c - 4*u. What is the remainder when 97 is divided by c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:53 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81377*u**3 + 2755*u**2 - 2 wrt u.\nAnswer: -488262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2) - -3 - -52. Suppose -5*p - 104 = 2*j, 13*j + 3*p - 177 = 16*j. Let i = u + j. Sort 5, 2, 0, i in descending order.\nAnswer: 5, 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15698069923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 87*h**4 + 171*h**4 - 83*h**4 + 20*h**3 to the form j*h + u*h**4 + f*h**2 + c*h**3 + b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u = -45*u + 32. Suppose -24*v - u = 16. What is the second biggest value in 9, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/27*-15)\/(120\/180). What is the third derivative of 101*w**2 + 27*w**4 + 24*w**4 + 5*w**5 - 10*w**4 + 8*w**4 - 8*w**z wrt w?\nAnswer: -180*w**2 + 1176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*j + 30. What is the remainder when 26 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12 = 4*o, -5*o = 3*u + 238 - 226 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*j*m**4 - 42*j*m**2 - 7*j*m + 2*m**5 + 2*m**3 wrt m?\nAnswer: 1008*j*m + 120*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513 = 2*z - 523, 0 = 4*i + 3*z - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*r**2 + 146*r**2 - 265*r**2 + 6*r)*(-2*r**2 - 3*r**2 + r**2).\nAnswer: -16*r**4 - 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (53 - -26) + (0 - 0 - (-13 + 0))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h*r**4 - 9*h*r**3 - 16*h*r**2 + 9*h*r - 3*h - 59*r**4 + 16*r**3 - 14*r wrt r.\nAnswer: 168*h*r - 54*h - 1416*r + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 187135 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*w = -2*r + 10, -5*w + 21 = -4*r. Let a(l) = 5 + 5*l - l**3 - 4*l**2 + l**2 + 0*l**2. Give a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1\/2)*o*o)**(-48)\/(o**(-1))**26*(o**(2\/21)*o*o\/(o*((o\/(o**(-11)*o*o))\/o)\/o*o))**(3\/19) assuming o is positive.\nAnswer: o**(-19052\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2896 is divided by 574?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-2)\/(-6))*-9. Suppose -5*r = -f*w - 31, -2*w + 0*w - 19 = -3*r. Suppose r*v - 75 - 20 = 0. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19810 (base 10) to base 16.\nAnswer: 4d62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 800944.5km in centimeters?\nAnswer: 80094450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtnn when four letters picked without replacement from iitttqnuitntuiiinit?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 9*n - 14*n, n + 4*v = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -2\/11 (b) -24 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2628, -20775, -69906, -165477, -322944, -557763?\n\"Answer: -2576*q**3 - 36*q**2 - 7*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let a = g + 1.9. Let u = -5.01 + 5.04. Which is greater: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o - 35. What is a(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + -52 - -125.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5946, -5928, -5910, -5892, -5874?\nAnswer: -5856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -399523 divided by -9\nAnswer: 399523\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59184312 and 5380392.\nAnswer: 59184312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2*x + 2. Give r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/343125 and 14\/2745.\nAnswer: 343125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.98 - -0.98. Let c = 131\/5 - 27. What is the closest to g in c, 4, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - ((-10 - -23) + (-5675)\/335). What is the nearest to n in -1, 3, 25, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 16*n**2 - 58*n - 10. Let d be j(-5). Suppose 4*s + 1 - 13 = 0. Suppose u - 4 = 6. Solve -d*r + u = s*a, -4*r - a = 4*a - 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + -4 - (0 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 72\/(-176))*18\/(-27)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34074+-0.5\nAnswer: -0.84074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose 2*l + 2 = 16. Let y = l + z. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + x**4 + x**4 + (-1 - 3 + 11)*(2*x**4 + x - x).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -11719, 18, 2, 0, -5.\nAnswer: -11719, -5, 0, 2, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 3*u + 5 = 7*b, 0 = -2*b + 4*u - 26. Let k(r) = -2*r - 14. Let v be k(b). Sort 2, 4, v in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/18 + -3*(-10)\/135.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*x**2 - 43*x**2 - 10*x + 1 - 38*x**2)*(-x**2 - 4 + 4) as q*x + u + c*x**2 + a*x**3 + z*x**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from rhwhwrhhdhrdr.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g)*(12752*g**3 - 2*g - 85306*g**3 + 2*g - 29830*g**3).\nAnswer: 102384*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((-75)\/350)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 7. Let y be b(5). Let n(m) = -21*m - 43. Let x be n(-2). What is the closest to 2 in y, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8278*i + 5. Let n(a) = -a. Determine n(b(y)).\nAnswer: -8278*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.031 + 45. Let l = -28.031 - j. Let p = -29.3 - l. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -28.6. Let j = 27 - k. Let g = 49\/110 - 1\/22. What is the closest to 2\/7 in -5, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22276?\nAnswer: 2, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (-10 - (-4 + -12 - -9))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/25))**13)**44)**(1\/21) assuming n is positive.\nAnswer: n**(1144\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 5*o**2 + 5*o - 1. Let c be w(4). Find the second derivative of -202*z**4 + 105*z**4 + z - 9 - z**c + 102*z**4 wrt z.\nAnswer: 60*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 5*t + 5. Let c be d(-5). Suppose -f = 3, 91 = c*h - 3*f + f. What is the highest common divisor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(41*s**2 - 1548 + 1548).\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 - 8*n + 13. Let x(f) = f**2 + f - 1. Give -2*q(w) - 18*x(w).\nAnswer: -2*w**2 - 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpchphhhcc. Give prob of picking 2 c and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92080535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.55 - 0.05. Let a = -4.6 - l. Let p = a + 2.4. What is the second smallest value in 2\/11, p, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2127 + 13479 = 0. Is (-2)\/(-12) + s\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 39 = -4*x, 0 = 19*x - 3*j - 817 + 624 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 + 137 - 73 = 4*o - k, -2*o = 2*k - 85 + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 31*o - 180921. List the prime factors of o.\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let n(v) = 6*v + 16. Let z(m) = -1 + 2*m + 6 + 0*m. Let a be -12*((-7)\/3 + 1). Let b(i) = a*z(i) - 5*n(i). Calculate b(w(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 6*i - i)*(-105*i + 105*i + 4*i**2)*(-6 + 9 + 7) as s*i**3 + k + t*i + j*i**2 and give s.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.462714 micrometers to centimeters.\nAnswer: 0.0006462714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5878 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -54*d + 1. Let r be 1\/(-3) - (-44)\/6. Let u = r - 10. Is l(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 4. Let z(p) = p**2 + p - 2. What is the units digit of z(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from hrrxrxxknxnxrrrxn?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1103*u**4 + 814 wrt u?\nAnswer: 4412*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2404\/17 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.7 (b) 0.5 (c) -18 (d) -8 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 5\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**3 - 4*m**3 + m**3 + (-2*m**2 + 0*m**2 + 3*m**2)*(-1 - m + 1) + (-23*m + 6*m - 23*m)*(-25 + 25 + 2*m**2).\nAnswer: -79*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 30. Calculate the remainder when 15 is divided by a\/7 + 6\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*i**4 + 910*i**2 + 11*i - 912*i**2 + 19*i**3 - 18*i**3 in the form t*i**2 + r*i**3 + y*i + l + s*i**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/((-3)\/(-16)))\/2. Solve -5*w + v*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 - -237. Suppose 3*f + 351 = 4*f. Suppose -5*h + f = -i. Calculate the greatest common factor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0 + 0 - 3 + 3 - 2*b + (-3 + 2 + 3)*(2*b + 2*b - 2*b))*(-2*b - b + 2*b) + 0*b + 0*b - 2*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 12370?\nAnswer: 12364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k + 36*k + 21*k + 17*k + 12*k - 63*k.\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 415.9998832 - 416. Round p to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 25252*c + 92. Let s be r(-6). Let d = 6580 - s. Round d to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 13 + 32 = 2*c, 8*c + 4*i = 52. Solve 4*g - 30 = c*w, -2*w - 6 - 18 = -4*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - -3) - (60 + -60)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*g = -654*g + 1877*g - 11207 - 2152 for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 5, 10, 19 in ascending order.\nAnswer: 5, 10, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 - 4*l**2 - 2*l**2. Let q be 6\/(-9) - 10\/(-15). Let m(g) = q*g + 5*g - 4*g + 0*g. Give m(i(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*p - 0*p - 13, p = -5*q + 20. Suppose -p*z + 15 = -10. Sort z, 2, 3 in descending order.\nAnswer: z, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 + 23)\/(-8))\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -1331*r**6\/150 + 121*r**5\/20 + 99*r**4\/10 + 62*r**3\/15 + 4*r**2\/5 - 6*r. Factor v(k).\nAnswer: -(k - 1)*(11*k + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/120 and 13?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*x - 114 = 0, -5*i + 49*x = 50*x - 234. Let q = 47 + -34. What is the remainder when i is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*w**2 + 10*p**3*w - 822*p**3 - 9*p**2*w**2 + 18*p*w**2 - p*w + 6*w wrt p.\nAnswer: 6*w**2 + 60*w - 4932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2169144, -8676564, -19522256, -34706214, -54228432?\nAnswer: -78088904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*c - 2145 = 2018 - 406 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbjdvjbjpv. Give prob of sequence bp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449931 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 2*u**4 - 3*u**4)*(2 - 2 + 4*u) + (u**2 - u**2 - u**3)*((-u - u - 2*u)*(1 - 1 - 2*u) + 0 + 3*u**2 + 0).\nAnswer: -23*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.67 + -6.67. Sort -27, t, 0.5, 0.\nAnswer: -27, t, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-5595)\/(-243) + (-1058)\/46).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*372\/18*-6. Let g = -61 - l. Which is the closest to g? (a) -1\/5 (b) -6\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93239249.\nAnswer: 1069, 87221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 3*g + 4. Suppose 4*c - c = 5*t + 9, t + 5*c - 15 = 0. Suppose t = -2*u - 4*w + 4, -w - 2*w = 5*u - 17. Calculate d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591609 divided by 12?\nAnswer: 1591609\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, y: 1, h: 3}. What is prob of sequence yeee?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 63 = -9*x. What is the least common multiple of x and (10*-1 + 3)*(-6)\/14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfmmmmffm. Give prob of picking 1 m and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 1 + 536*s**2 + 597*s**2 as j + p*s**2 + m*s and give p.\nAnswer: 1133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -4) + (-30)\/(-2). Suppose 5*r = 2*u + 23, -5 = -5*r - 2*u + 2. Suppose -2*x + 1 = -r. Solve 3*t = -15, p - t = x*t + v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {s: 2, k: 5, b: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = r + 5*c, 0 = 6*c - c - 5. Calculate the remainder when 12 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.5, -3\/2, -1\/10, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-14)*(-189)\/81?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 381 + -375. Which is smaller: -10 or a?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 31. Let y be d(6). Suppose y*q - 1260 = -182. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 12*u + 248. Calculate a(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246942 is divided by 489.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*f = -2*j + 23, -f + 21 = 19*j - 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + y**2 + y**2 - 79 + 423 in the form m*y**2 + h*y + z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k*k**(-2)*k)\/k)\/k)*k**(-5\/3))\/((k*k**(3\/7))\/(k**(-8)\/k)) assuming k is positive.\nAnswer: k**(-191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62627012 divided by 2588.\nAnswer: -24199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from kkrdkggrppkkpkdppr.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 43*q**7\/70 + q**5\/20 - 2863*q**4\/24 - 2592*q**2. What is the second derivative of l(w) wrt w?\nAnswer: 1548*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjdnnvvnnivvnvnvj. What is prob of picking 1 n and 1 v?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.0669, 2\/3, -1\/7, -9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495 + -2133. Let m be 224\/s*122\/(-4). Let f = -11\/39 + m. Find the common denominator of -143\/6 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2*2\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-442)\/4)\/(39\/6 + -6). Let g = -183 - k. What is the remainder when g is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 + 17*y**2 - 11*y**2.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*l + 371*l + 8280 = 58*l + 137*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6061994*u. Let l(b) = b. Give t(l(w)).\nAnswer: 6061994*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*b + 501*b - 132 = 0. Let q be 165\/b + 7503\/(-4). Round q to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) -7 (d) 1\/346 (e) 9.5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1058*w**2 + 2 - 2 - 1063*w**2. Let s(t) = -7*t. Calculate s(v(r)).\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(567) + 1 - sqrt(567)) + 0 + sqrt(567) - sqrt(567)) + sqrt(567) + 0 + sqrt(567) + 3)*-6*2)**2.\nAnswer: 20736*sqrt(7) + 328896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-288)\/27 + 11.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 5*a + 4. Suppose 17 = 5*s + 4*f, -4*s - 2*f + 14 + 2 = 0. What are the prime factors of w(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101061404?\nAnswer: 2, 29, 211, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 880458946 to the power of 1\/2, to the nearest integer?\nAnswer: 29673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(91) - -1*sqrt(91)*-5))\/(((sqrt(448) + sqrt(448)*1)*-6 - sqrt(448))*6).\nAnswer: -5*sqrt(13)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204*f**4 - 93*f**2 + 3*f?\nAnswer: -4896*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11951\/11275 - 171\/164. What is the common denominator of -49\/36 and d?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-112)\/(-2)*672\/392. What is the greatest common factor of 384 and c?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(1 + -21) + 23919\/1005?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 - 3*o + 4*o + 0 + 1 to x*o**2 + d*o + r + u*o**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 367.5 or -31\/17?\nAnswer: 367.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21579, 86443, 194559, 345933, 540571, 778479?\n\"Answer: l**3 + 21620*l**2 - 3*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -380001?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -17.5. Let a = 8 + i. Let v = -1.7 - -2. What is the nearest to 1 in 0.5, v, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 + 61 - 46)*(0*r - 2*r + 3*r) - 2*r + 2*r + 3*r to the form j + u*r and give u.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260064 + 1820452\/7. Factor -4\/7 - v*b**2 + 8\/7*b.\nAnswer: -4*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (-1 + 89)\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18)*3)\/((-17)\/(-4))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*f**2 - 206*f - 11 + 206*f.\nAnswer: -279*f**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674*i + 12255 + 8591 = 53 - 11013 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11157 - 202 = 35*y. Suppose x = -2*c + 407, -x + y + 108 = -5*c. List the prime factors of x.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 11) to base 12.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*q + 2*d - 49, -d + 19 = -2*q. Let j = -7 - q. Solve -j*v + 2*v - 5*y - 3 = 0, -6 = -v + 5*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9425 = 449*b - 57925. What is the remainder when 152 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 11\/440228, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/3614*1\/(1\/2). Let j = -288 - -288. Is j at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1704, 6817, 15342, 27279, 42628?\nAnswer: 61389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y - 60*y = -102 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-175)\/(-56) - 1537\/(-8). Suppose -193*j - 2303 = -h*j. Round j to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u - 19*u + 178*u.\nAnswer: 147*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*r - 1101 + 5742 for r.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 234 + o - 2*o - 232. Let g be y(3). Is 16\/((4\/(-24))\/g) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from zzlzzzzzzzzllzzllz.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 + 90 = -313*u + 230*u. What is the lowest common multiple of 16838 and u?\nAnswer: 84190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -522399908*f**3 + 1666457*f**2 + 4 wrt f.\nAnswer: -3134399448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.37 + 30.7. Let c = 234.67 - 235. Let r = c + d. Do r and -0.05 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*t = 19, b - 5 = t - 0. Calculate the highest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1458\nAnswer: -1\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 - 7*m + 9. Let y(l) = 5*l**2 + 3*l + 10. Let z(h) = h**2 + h + 1. Let c(n) = y(n) - 6*z(n). Give 9*c(f) - 4*w(f).\nAnswer: 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {o: 1, s: 1, m: 1, d: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9, -3, 212?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 9:17 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**3 + 0*j**2 + 0*j + 2\/5*j**5 - 6 + 1\/2*j**4. Suppose q(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 437?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7271\/5010 + 3\/167. Find the common denominator of w and 22\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7805 times -0.01\nAnswer: 78.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*q = -394, -2*z + 5*z - 406 = -2*q. What is the remainder when z is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + ((sqrt(66)\/sqrt(2))\/sqrt(3) - (sqrt(11) + sqrt(99)\/(sqrt(18)\/sqrt(2))) - 6*(sqrt(176) + 1)) + -3)*-2)**2.\nAnswer: -27824 - 1800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3242 - 3239. Suppose 0*o + 108 = 4*o. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 26. Let o be 72\/33 - w\/11. Solve 5*s - o*c - 15 - 18 = 0, 0 = s - 3*c - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/24 - 2*q**3\/3 - 11*q**2. What is d(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 5*w - 9. Calculate j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - 6*j + 4. Let l be p(4). Let d = -14 - 33. Let z = l + d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100 - 101?\nAnswer: -10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29748 is divided by 29004.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 5*u + 110, -4*j = 34*u - 39*u - 30 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-57)\/(-14) + 12\/6 and (-714)\/126*10\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50130 = -26*u - 19*u. List the prime factors of u.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3598*u + 9100*u - 4173*u to f + r*u and give r.\nAnswer: 1329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i + 23. Suppose 7*m = -7*m. Give u(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 7*u**2 + 9. Let k be b(7). Let i be (-3)\/k + 1\/(-6). Which is smaller: 2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -834, 4, -3, 7 in decreasing order.\nAnswer: 7, 4, 0, -3, -4, -834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057231453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -6. Suppose 0 = -4*t + j - 0*j + f, 2*j + 6 = 2*t. Suppose t*m = 4*m + 14. Let q(g) = g**2 + 8*g + 3. Give q(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 7*i**2 - 6*i. Let n be j(-6). Let d = -51 + n. Solve 3*u + d = -2*t + 4*t, 4*u + 3*t = -11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11839086 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -237635 - -862?\nAnswer: -236883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rterkevevkvzkr. Give prob of sequence kz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 236 = 3*x, 4*p - 63 = -5*x + 317. Suppose -r - 18 = -6. Let j be (16\/r)\/(1\/(-6)). Calculate the highest common divisor of j and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*i - 4)*(4000 - 2080 - 1573)*(1 + 2 - 2).\nAnswer: -694*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -1, 173, -9, -19 in decreasing order.\nAnswer: 173, -1, -4, -9, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 929 divided by -3\nAnswer: -929\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 1930*h - 415371. What is m(641)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - (sqrt(3) + 1 - sqrt(3))))*-5 - (sqrt(3) + 1 + -2 + sqrt(3))**2 - -2*(sqrt(147) + 0 + 4).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqfcqfcffwffqcccf. Give prob of picking 1 f and 3 q.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3162*g**5 - 1663*g**2 + 5. Let z(a) = 1581*a**5 + 832*a**2 - 3. Let r(f) = 3*o(f) + 5*z(f). What is the third derivative of r(i) wrt i?\nAnswer: -94860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(128))\/(-1*sqrt(6)\/sqrt(3)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**5\/5 - 4*f**4\/3 - 8*f**3\/3 + 5*f. Solve z(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -6*o - 5. Suppose -o = -3*g + 23. Calculate the smallest common multiple of g and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*1 - ((-4)\/(-4) - (117 - 146))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**5 + 0*v**2 - 2*v**2 + 3*v**5 - 3*v**5 - 7*v**5 + (-4 - 1 - 7)*(-3*v**5 + 2*v**5 - 14*v**2 + 15*v**2).\nAnswer: 4*v**5 - 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-16\/7)*i*i\/(i\/(i*i*(i\/(i**(-13)*i))\/i)) assuming i is positive.\nAnswer: i**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 246, 369, 492?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*g + 21, 53*w = 2*g + 48*w + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122888 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -3 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/13308 and -121\/20.\nAnswer: 66540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9\/2, -0.17, -3, 1267?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - d)*(5*d - 5*d + 5*d) - 2*d**2 + d - d + (-d + 3 - 3)*(-d - 4*d + 4*d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 57 + 19. Let v = o + 21. Suppose -396 = v*x - 5*x. What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**2)\/z**1)\/(z**(6\/5)*(z\/(z\/(z*z**(3\/2)*z)))\/z) assuming z is positive.\nAnswer: z**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z - 4. Let x be (96\/(-300))\/((-8)\/(-20)). Which is the nearest to z? (a) -2\/11 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51*(-9)\/(-4590)*(-45)\/(-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 3*c**2 + 3*c + 4. Let v(t) = -t**3 - 8*t**2 + 9*t - 2. Let h be v(-9). Let m be k(h). Solve m*u + 12 - 2 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.41, 4, 2, 2\/7, 5, 2\/5 in ascending order.\nAnswer: 2\/7, 2\/5, 1.41, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13*c - 64 = 9*c, -3*c = 3*f + 33. Let j = 645025\/175186 - 1\/7963. What is the common denominator of ((-10)\/f)\/(24\/(-80)) and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 3*w. Suppose -52 = -13*f - 0*f. Let m(i) = -i**2 + i. Give f*m(r) + c(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89811 is divided by 3592.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 = -3*k + 12, -5*q = 3*k - 22. Let b be 2525\/(-7) + (-4)\/14. Is k\/(2 + 723\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50.53 - 50.39908. Let c = 0.132 - q. Round c to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 74*v**2 - 79*v - 1. What is m(-75)?\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**3 + 5*b**2 - 5*b + 5. Let w(y) = -6*y**3 - 4*y**2 + 4*y - 4. Let n(o) = 3*o + 2. Let h be n(1). Let r be 2 + -4*1\/(-2). Give h*w(a) + r*v(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268200 is divided by 11175.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -963.\nAnswer: -5\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6576 is divided by 439?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 308\/819 - 2\/9. What is the nearest to 1 in z, 0.1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2 + 9*t**2 - 17*t**2 - 9*t**3 + 10*t**2 + 10*t**3 - 6*t + 3*t. Let x = -2 - 2. Determine u(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-r - 8 + 8)*(5 - 2 - 2) - 188*r - 2 + 0 + 200*r to the form h*r + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 - (53 - 52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, l: 12}. Give prob of picking 1 l and 2 e.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boomhmcc. What is prob of picking 1 h, 1 m, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d - 1451 = -5201. Calculate the highest common divisor of d and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(720) - sqrt(720)*-1)*-2 + -1 + (sqrt(165)\/(2*sqrt(3)))\/sqrt(11).\nAnswer: -479*sqrt(5)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 6 + 14*x - 25*x)*(5 - 5 + x)*(3*x - x - 3*x + 2).\nAnswer: 2*x**3 + 2*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -7 (b) 0.1 (c) 1\/6 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7870742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c - 1. Let o(t) = 8*t**2 - 14*t + 14. Let f(a) = 6*n(a) + o(a). What is the units digit of f(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616785 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: Let t(c) = 110*c**2 + c + 7. Let i = 262 - 264. List the prime factors of t(i).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22910 = -12*n + 66814. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 divided by -10252?\nAnswer: -139\/2563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 + -282. Solve 2*l + o = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 830549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/(12\/60). Let p(z) = f + z**2 + 0 + 28*z - 27*z. Give p(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1447*u - 393*u**3 - 1447*u - 28 + 28.\nAnswer: -393*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -679 + 1570. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30824 and 9091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -37028d?\nAnswer: 37028d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 323 - 323.5. Sort -7, g, -3, 1 in decreasing order.\nAnswer: 1, g, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 5*p - 735*p**3 + 733*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101552 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(448) - sqrt(448))\/(sqrt(4) + (sqrt(256)*-2 - sqrt(256))).\nAnswer: 12*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c. Let d be w(-1). Suppose -3*q = -23 + 8. Solve -q*v = -3*y - 19 - 0, 12 = 4*v - d*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 199 - 48?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3227 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5939 - -6155. Calculate the greatest common factor of n and 1422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0184987417 to 5 dps.\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5963460?\nAnswer: 2, 3, 5, 99391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1645370 and -12.\nAnswer: 1645358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-70) + (-2)\/(-10). Suppose -2*g + 4 = 5*v + 2*g, 5*g = -3*v + 5. Which is the nearest to v? (a) 0 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555322.\nAnswer: 2, 17, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -93 in descending order.\nAnswer: 4, 1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + 0*q + (-39*q + 6*q - 88*q)*(-2 + 5 - 2)*(21 - 15 + 4).\nAnswer: -1212*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 12) in base 6?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:54 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r + 30. What is z(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2857472695?\nAnswer: 5, 7, 11, 127, 58441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66800 and 800?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 3 - 3)*(-2 - i + 2) - 4*i**2 + 5*i**2 + 47*i - 8*i to f + p*i**2 + b*i and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*o - 5, 2*x + 3*o - o - 22 = 0. Solve x*j - 29 = 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19630 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -21*m - 4. Let w(i) = 986*i + 187. Give -187*p(q) - 4*w(q).\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -31. Suppose r + f - 24 = 0. What is the smallest common multiple of r and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z + z + 8*z - 3*z in the form f*z + y and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 49, 74?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 292, 547, 768, 955, 1108, 1227?\n\"Answer: -17*t**2 + 306*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136750 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 434\/(2 + 4 + -4). Let d = y - 129. Suppose -d = 3*f + 50. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3040, 1\/10, 1 in increasing order.\nAnswer: -3040, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 59 = -19. Solve 3*r - 13 + 43 = 5*y, 0 = r + m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3637 + -6557\nAnswer: -6557.3637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.8179 + -0.0521. Let p = y + -395.13. Is p > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = 3. Let h = 1340 + -671. Let q = 679 - h. Solve 2*t = -s*j - j - 7, -3*t - 4*j - q = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2081 - -4245\/2. Let f = s - 41. Factor 5\/4*z**4 + f*z**3 - 1\/2*z + 0 - 5\/4*z**2.\nAnswer: z*(z - 1)*(z + 1)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 3*w**2 + 2*w - 3. Suppose -3*d - 18 = 4*n - 5, 1 = -n. Give c(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 31. Let m = -20.2 - t. What is the nearest to 2\/3 in m, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -0.1, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 25 = -5*v, 3*v - 2 = 4*h + 21. What is the third smallest value in 0.02, 0, 4, h?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-9)*9\/2. Suppose -5*b = a - 25, -4*b = 3*a + 3 - 23. Is 37 a factor of (a - -1 - 484)*j\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 34 - 28 = 0. Suppose 2 = i - k. Solve i*h + 11 = 4*h - 4*s, 4 = -2*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -306 divided by 102\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 10. Let v be n(7). Let c(x) = 6*x - x**v + 0*x - 4*x**2 + 12 - 2. What is the units digit of c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1735 + 1213. Let p = x + 626. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 32*v - 1. Let n(a) = a**3 + 5*a**2 + 2*a - 3. Let o be n(-4). Is i(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105960*h**3 + 2147*h**2 - 5*h wrt h?\nAnswer: 635760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12701 is divided by 438.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-18)\/l)**1)**(2\/11) assuming l is positive.\nAnswer: l**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112.5 - -112.6. Let u = 0.4 + -0.2. Which is the smallest value? (a) 1\/3 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 136?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 188?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (1*(sqrt(275) + 0 + sqrt(275)) - (3 + 1*sqrt(275)))) + -1)**2.\nAnswer: 60*sqrt(11) + 9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 16*n**2 - 16*n + 19. Let f be c(-17). Solve 2*a + 3*m = 16, 0*m - f*m = -3*a + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0076238734 rounded to 5 dps?\nAnswer: 0.00762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58417*c - 54 + 58417*c + 45*c**2.\nAnswer: 45*c**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5075 (base 12) in base 3?\nAnswer: 102222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 177?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 4, 39, 234, 3 in decreasing order.\nAnswer: 234, 39, 4, 3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003825208 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -210120?\nAnswer: 210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-17)\/(1768\/117)*104\/6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -15*a**4 - 1437830*a**3 - 20605425*a**2 + 37377830*a - 15334560 = 0.\nAnswer: -95841, -16, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 908*r + 55057 + 2147 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 divided by 37?\nAnswer: -429\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*p + 24 = -2*m + 83*p, -2*p - 44 = 3*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 14) in base 7?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**3 + 15*g**2 + 37*g. Let f(n) = -3*n**3 + 8*n**2 + 18*n. Let y(r) = -5*f(r) + 3*h(r). What is the second derivative of y(a) wrt a?\nAnswer: -18*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*v**2 + 1240*v**2 + 3929*v**2.\nAnswer: 5600*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose -g*q - 2*m = 4, 5*q - 2*m - 3 = 1. Which is bigger: q or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/((-9)\/108). Suppose 4*y = 4*h, 0 = h - y + m*y. Solve h*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.8, -2\/13, 7\/9, 0.5 in ascending order.\nAnswer: -10.8, -2\/13, 0.5, 7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 1113, 2576, 4637, 7290, 10529?\nAnswer: 14348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.0583 millilitres to litres.\nAnswer: 0.3560583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 2*b - 10. Let v(y) = -16*y + 631. Let c be v(39). What is l(c)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797359.4 litres in millilitres?\nAnswer: 797359400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/27 - (-7)\/(378\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 13*p**2 - 4*p + 15. Determine b(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 547\/6 + -89. What is the common denominator of 2\/9 + 122\/(-18) and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 82. Let c be -1*(-27 - i)*(-4)\/(-8). Solve 0 = 6*g - c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/238 + -41183\/714. Let u = -59 - g. Which is the third smallest value? (a) u (b) 0.4 (c) -2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Suppose -2*v - u = -6*v - 9, -2*v + u - 5 = 0. Let n be ((-2)\/(-6))\/(v\/(-12)). Let d(k) = -k**2 - 7*k**2 + 0*k**n. Give d(t(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31048 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 76*s + 4407. Give m(-54).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5 - 6*k**4 + 80*k**3 = 0.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*a + 18. Let k be (-4)\/(-8) + a\/(-6). Suppose x - 2*b = 3*x - 6, x - 5*b = -21. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:42 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -19, -26, -37, -52, -71, -94?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7223 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: Multiply -0.5 and 6042462.\nAnswer: -3021231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3467 + 2237 = 636*u + 1152 - 8168 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.06 (b) 4 (c) 5\/28 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 0 + 0 - (1 + sqrt(343) + -2 - sqrt(343)))**2.\nAnswer: 14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65503\/9880 - -6\/1235. What is the common denominator of -51\/10 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18384379 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l**(28\/5)*l))\/(l**13*l*l)*l\/l**(-20)*l\/(l*l*l**(-18)) assuming l is positive.\nAnswer: l**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 341, 1, 60, 2 in decreasing order.\nAnswer: 341, 60, 2, 1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g - 4. Let a be (-15)\/(-4) - 2\/(-8). Suppose 0 = d + 4, 3*h - 5*h - 2*d = 6. Let c(v) = v + 1. Determine a*c(m) + h*p(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 13. Give q(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018, -2029, -3036, -4039?\nAnswer: -5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8739003029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*r + 6111 = -11409 - 8706. What is the greatest common divisor of r and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5cc051 (base 13) to base 11.\nAnswer: 1290168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - 4399*r**2\/5 + 48226*r\/5 + 184296\/5.\nAnswer: (r - 4388)*(r - 14)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17442\/11, 0, -1072?\nAnswer: -17442\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 56?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -695 - -90. Let s = 756 - k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/49*273\/(-130))\/(73\/1095).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/((-322)\/(-70) + -5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36.90803 millilitres?\nAnswer: 0.03690803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**4 + 8*j**3\/3 - 3*j**2\/2 + 3*j - 1187. Let n(x) = -9*x**3 + 17*x**2 - 7*x + 7. Give -6*n(l) + 14*q(l).\nAnswer: -2*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z = -25*z - 52. Solve -2*a + z = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 656916*k**3 - 1712*k**2 - 429 wrt k.\nAnswer: 3941496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*w + 1261 = 0, -4*p + p = -5*w - 3753. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17320041.\nAnswer: 3, 31, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 401*y + 76*y + 945 = 0. Factor 0 - 3\/2*u**2 + 15\/2*u**y + 3\/2*u**4 - 15\/2*u.\nAnswer: 3*u*(u - 1)*(u + 1)*(u + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2416*m = 2408*m + 32. Solve -4*u - 40 = m*t, 0*t - 5*t - 35 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9))**17)**29*h**(-8)*h\/(h*h\/(h**(-6)\/h))*(h**(2\/3))**19 assuming h is positive.\nAnswer: h**(-1016\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 554.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6215 divided by -5?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -46*a + 18*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1689034 to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*(-3)\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32476695 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2504, -11237, -25794, -46175, -72380, -104409, -142262?\nAnswer: -185939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 9*p**3 + 2. Let q = -35 - -37. Let m(x) = 0*x**2 + 4*x**2 - x**q - 2*x**2. What is m(b(u))?\nAnswer: 729*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68722076 at least as big as 68722080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3099\/(-22726) + 3\/506 + 112\/1035?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2959*b**2 + 7106*b - 77. Let k(l) = 78*l**2 - 187*l + 2. Let x(z) = -2*g(z) - 77*k(z). What is the second derivative of x(u) wrt u?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 + -149. Let t(h) = h**3 + 3*h**2 - 2*h. What is t(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**14*x)\/x**(-1\/21))\/((x**14*x*x)\/(((x\/(x*(x*x**(3\/2)\/x)\/x))\/x*x*x)\/x*x)) assuming x is positive.\nAnswer: x**(-1153\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 26*n**2 + 2*n + 1. Let z be l(-1). Suppose -3*w = -2*s - 10 + z, 0 = 2*w + 6. Put 4, 2, s in ascending order.\nAnswer: 2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 u when four letters picked without replacement from kukkkwwkwujjuukku.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -0.05.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 3*l. Let p be a(-3). Suppose p = 5*t - t + 16. Suppose -5*i + 9 = -2*i + 3*g, 0 = g + 1. Put -2, t, i in descending order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 13*n**2 - 10*n + 9. Does 8 divide q(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*q = -4, -2*q + 3 = r + 4. Suppose -2*w - c + 12 = -3*c, w - 5*c - 22 = 0. Suppose -w*i - 6 - 2 = 0. Put 0, r, i in increasing order.\nAnswer: i, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k - 5. Let i be u(4). Let f = -25 + i. What is the highest common divisor of f and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1728 = 23*q. Solve 5*l - 91 = -w - q, -4*w + 3*l = 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - m + 5, -2*m + 4*m = -4*a - 6. What are the prime factors of 28106\/138 + a\/(-6)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from {q: 4, s: 6, f: 3}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202372 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3491140 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Find the third derivative of 9*f**6 + 10*f**6 + 6*f**6 - d*f**2 - 18*f**6 wrt f.\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 + -1.5. Let f = -11.8 - j. Let r = f + 13. Which is the closest to r? (a) -4 (b) -5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 332 and 123524252.\nAnswer: 123524252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 2, m: 2, f: 2, s: 4, g: 1}. Give prob of picking 1 f, 2 m, and 1 g.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 317.29 (c) -3\/7 (d) 2\/13 (e) -3 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-3\/4)\/v)\/v)\/((v*(v*v**9)\/v)\/v))\/(v**(-3)\/v**(-1\/12)))**(-29) assuming v is positive.\nAnswer: v**(1537\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wow when three letters picked without replacement from oooooooooooowoooww.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-20) + (-35)\/350. What is the first derivative of 5*s**2 + d*s**2 + 32 + 35*s**2 wrt s?\nAnswer: 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -759, -1176, -1593?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-318)\/(-1007)*874\/6.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 915*y**3 - 2*y**2 + 80*y + 1. Let j(m) = 2744*m**3 - 7*m**2 + 239*m + 2. Let o(z) = -2*j(z) + 7*v(z). Find the second derivative of o(h) wrt h.\nAnswer: 5502*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3561 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -3698, 12, 142 in increasing order.\nAnswer: -3698, 4, 12, 13, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (218 - 212) - (54 + -2 + 4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-2)\/(-66) - (-48)\/(-990). What is the third biggest value in a, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8001, 15079, 22157, 29235, 36313?\nAnswer: 43391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*d**3*f*s + 2*d**3*s**2 - 2381*d**2*f + d*f*s**2 - 42335749*f*s**2 + 4*s wrt s?\nAnswer: 4*d**3 + 2*d*f - 84671498*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -129, -117, -99, -75, -45, -9?\n\"Answer: 3*g**2 + 3*g - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 34*d**3 + 6*d**2 + 6*d + 6. Let b(a) = -33*a**3 - 5*a**2 - 5*a - 5. Determine 6*b(r) + 5*x(r).\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {v: 1, d: 6, n: 7}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.906 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254628470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8537.\nAnswer: 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 45549, 2\/9, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, -1 in increasing order.\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**2 + s**4 + (s**2 - 2 + 2)*(s**2 + 0*s**2 + s**2) - 484*s**4 + 1264*s**4 + 220*s**4.\nAnswer: 1003*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/5 - (891\/(-15))\/9. Let x(a) = -2*a + 34. Calculate the remainder when 218 is divided by x(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 5*z**4\/24 - 3*z**3\/2 + 2*z**2. Differentiate y(l) wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + (sqrt(39)\/sqrt(3))**2)*-3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*c + 49 = 0, -2*l + 8*c = 12*c + 68 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 10:49 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*q - 2*q + 217, 2*l + 94 = 2*q. Suppose 0 = -3*i - g - 0*g + 35, 5*g + q = 5*i. Let t = 17 - i. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**3\/3 + 16*q. Let w = -4 - -89. Let h(d) = -162 + 77 + w - 40*d. What is h(z(o))?\nAnswer: 80*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11\/7)*p)\/p**(-25) assuming p is positive.\nAnswer: p**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -426542 + 2?\nAnswer: -426540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-1944)\/(-45))\/(-18))\/((-9)\/15). Let m(r) = r**3 - 5*r**2 - 7*r + 50. Determine m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 11 = 5*n + 5*g, n - g = 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1363 - 1368)*(160\/25 + 0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3206, -2.2, 3\/8, -5, 0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 137392\/(-1932) + -7 + -2. Let w = v - -561\/7. Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 + 4*z - 2. What is b(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -41*x**2 + 16*x - 82. Let h(p) = 29*p**2 - 11*p + 55. What is -7*h(t) - 5*j(t)?\nAnswer: 2*t**2 - 3*t + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(5*-2*sqrt(8)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1755)\/7695*19)\/((-2)\/3).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 23. What is k(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121212 (base 4) to base 6.\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*r = -4*r - 94, 0 = 5*p - 3*r - 91. Calculate the highest common divisor of 25 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -227\/3?\nAnswer: -227\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -635. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-5)\/(-70)*7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3249496 or -3249683?\nAnswer: -3249683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 235634 and -128718.75.\nAnswer: 106915.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -44?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.139 + 0.039. Is -2\/61 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2101, -4199, -6297, -8395?\nAnswer: -10493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*f - 53*f + 56*f + 14 + 117*f to x*f + l and give x.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:42 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, -144056 in decreasing order.\nAnswer: 16, -4, -144056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4446\/1235*(282\/45 + (-4)\/(-10))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + (-138)\/(-30). Solve -s - 4 = 3*t, v*s - t + 7 = -3*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c*(c\/(c*c**(-13)*c))\/c*c*c)\/c*c**(-1\/4)*((c\/(c*(c*c**0)\/c))\/c)\/(c*c**(-5\/3)) assuming c is positive.\nAnswer: c**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - 6*r + 4. Let s be f(-2). Suppose -b + 180 - 21 = s. Is b a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*l = 7*b + 24 - 6, 0 = 3*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 29. Let k(b) = -b**3 + 6*b**2 + 8*b - 7. Let a be k(7). What is the remainder when n(a) is divided by 30\/(-135) - 137\/(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2*s + 16. Let f be j(0). Suppose -2*b - 25 = -2*d - b, 2*d + 3*b - 21 = 0. Calculate the highest common factor of f and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14631.6 + 17940. Round x to the nearest 10.\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632 (base 10) in base 12?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = -s - 2, 2*s = -3*g + 25. Suppose 5*b - s = 114. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c6139 (base 15) to base 14.\nAnswer: -3dc4d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 24. Determine n(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280 = -419*y + 504*y + 2035 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 13 - 48 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**4 + 6*z**3 - 25*z**2 + 4*z + 8. Let m(a) = a**4 - 11*a**3 + 49*a**2 - 8*a - 17. Let u(q) = 4*m(q) + 7*s(q). What is h in u(h) = 0?\nAnswer: -3, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/10813730 and -11\/2890.\nAnswer: 3125167970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {z: 5, l: 8, b: 2, c: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-22) - 3)\/(139\/139) - (-4)\/(-286)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = -2*o - 165 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38895626 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8156730203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**3 - 10*q**2 + 3*q - 6. Let a(u) = 55*u**3 - 60*u**2 + 17*u - 34. Let s(r) = -6*a(r) + 34*y(r). Find the third derivative of s(z) wrt z.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*s + 2*b, -3*s + 2 = -0*s - 4*b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 49856485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 + 2. Let c(a) = -3*a + 4. Let x(n) = n - 1. Let o(j) = -5*c(j) - 20*x(j). Calculate o(u(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3554 + 3556. Solve 4*u - 8*i + 11*i + 10 = 0, u = l*i - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/639632 and 47\/3015408.\nAnswer: 21107856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1392 divided by 2\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 - 13?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(2\/(-20)). Let u = 101 - 36. Suppose 0 = 5*i + 5*g - 80, -o*g - u = -3*i + 15. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/14629654 and -119\/4056?\nAnswer: 175555848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.9 + -2.9. Let x = 49 - y. What is the nearest to x in -1\/2, 0.1, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17182626.\nAnswer: 2, 3, 2863771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1, -133719, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -37. Let t = m + -7. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11863, -12764, -13665, -14566, -15467, -16368?\n\"Answer: -901*z - 10962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.3 - -32. Let o = -0.4 - u. Let z = 4.1 + o. Which is the nearest to 0? (a) z (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9\/(t*t*(t*t*t**(3\/5)*t*t)\/t))\/(t**(1\/2)*t**(-4\/3)\/t))\/(t\/t**(-2)*t**(-5\/9))**24 assuming t is positive.\nAnswer: t**(-1603\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-34 - -9) + 8 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -113\/3, 0, 10\/11 in descending order.\nAnswer: 10\/11, 0, -113\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)*5)\/sqrt(2).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a73b - 1?\nAnswer: -6a73c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2176)*-3*2)\/(sqrt(4)\/(sqrt(6)\/sqrt(3)*-2))*5.\nAnswer: 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*n**2 + 0*n - 245*n**2 + 6*n - 2*n.\nAnswer: -675*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:50 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 6:23 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 23*t**2 + 54*t - 96. Let o be d(25). Suppose 5*u - 2*h = -7*h - 15, -13 = -o*u + h. Factor 1\/3 - 2\/3*z + 1\/3*z**u.\nAnswer: (z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2 and -53\/1662.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 583560*v + 4084675.\nAnswer: 5*(v + 7)*(v + 116705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 185 = -2*f. Let w = 126 + f. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 1\/41, -1, -1.8?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**5 - 2*k**5 - 3*k**5 + (-9*k + 5*k + 0*k)*(-2 + k**4 + 2).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - 6*h + 7. Let d(g) = 2*g**3 + 5*g - 6. Let t be (12\/(-8))\/((-2)\/(-4)) + -3. Calculate t*u(n) - 7*d(n).\nAnswer: 4*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 10*v**2 - 24*v + 5. Determine b(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2064, 2710, 1940, -246, -3848, -8866?\n\"Answer: -708*o**2 + 2770*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 11*i - 40. Let t be v(-13). Suppose 2*x + 16 = -2*x. What is the tens digit of 1775\/35 + x\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32591\/7 or 4655?\nAnswer: 4655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42340014 (base 5) in base 16?\nAnswer: 56d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 93.2848 centuries?\nAnswer: 9328.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 523 (c) -2\/21 (d) -3\/7 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4928*k = -4902*k + 468 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4728.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 8. Let d be w(7). Suppose 235 = 5*r - 5*n, r + n - d = -3*n. Calculate the remainder when 84 is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 divided by -219?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 20*k**2 + 20*k + 22. Let i = 15923 + -15942. Determine j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20a755 (base 11) to base 8\nAnswer: -1220677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 171*s**2 - 4*s - 3. Let j(f) = -170*f**2 + 3*f + 2. Let l(q) = -2*d(q) - 3*j(q). Is l(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:30 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-44)*(-80)\/(-25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (-2 + sqrt(720) + -1)*-4*5*-1))**2*-4.\nAnswer: -1167376 + 119040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 27 + r**2 - 16.\nAnswer: 4*r**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 2. Let y(o) = 9*o + 4. Let f(l) = -11*u(l) - 6*y(l). Calculate f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/4470050 and -73\/825240.\nAnswer: 53640600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2046*l**3\/5 + 521*l**2\/5 - 6*l.\nAnswer: l*(33*l + 10)*(62*l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/20 - 47*v**4\/12 + 17*v**3 + 19*v**2\/2 - 92*v. Is z(-51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218*h**4 + 16*h - 6 wrt h.\nAnswer: 2616*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -7*x**6\/720 - x**5\/120 - 49*x**4\/12 + 2*x - 8. Let t(l) be the third derivative of q(l). Differentiate t(k) wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16849*x + 117924. Determine g(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1323) + -4 - (5 + -6*(sqrt(3) + sqrt(3) + 0 + -1*sqrt(3)))) + 5)**2.\nAnswer: -108*sqrt(3) + 2191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 476?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*n + 118. Let m be 0\/n*(-2)\/(-6). Suppose 0 = -3*r - g - 11, -5*g - 1 = -0*r - 3*r. Which is the third smallest value? (a) -0.4 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/4 - 29*n**3\/3 + n**2 - n - 18. What is the tens digit of a(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 - 3 = 0. What is the least common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1700\/(-50))\/(5\/2). Let s = -529\/40 - u. Let w(v) = -v**2 + 4*v. Let i be w(3). Which is the smallest value? (a) s (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233600267 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 b when four letters picked without replacement from {b: 5, o: 1, f: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9 - 55*q - 9 + 99*q. Let t(i) = 2*i. Give u(t(r)).\nAnswer: 88*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 5*f**2 - f - 2. Let d be w(-5). Suppose 0 = 2*c - c - 3. Solve -c*m + 0 = d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((6 - -1) + -2 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s - 1. Let h(f) = f**2 - f - 1. Let r(z) = 2*h(z) - 2*j(z). Let r(v) = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655, -1257, -1833, -2383?\nAnswer: -2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*i - 3*n + 2, 5 = 3*i + 5*n. Suppose -z = -5*q, i*q = z + z + 5. What are the prime factors of ((-15)\/1 - q)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + -1) - (11 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 101*o - 210*o - 53 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b4 - 122?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060*q**3 - 1042*q**3 + 2961*q**3 - 1134*q**3.\nAnswer: -275*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((-6)\/(-8)*2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/7 - 1560*o**2\/7 + 15837*o\/7 - 4770.\nAnswer: -3*(o - 7)*(o - 3)*(o + 530)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwahggwgggyhh. What is prob of sequence ag?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195.2 + 40.8. Let y = f + -236.000462. What is y rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/9 + 11774164*a**2\/3 + 17328867237362*a = 0. What is a?\nAnswer: -8830623, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**3\/c**(2\/23)*c\/(c\/c**0*c)*c*c**5 assuming c is positive.\nAnswer: c**(182\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8767777716 to the power of 1\/3, to the nearest integer?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38902 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 1.08. Let g = -2.98 + f. Let u = 2.9 + g. Is u less than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let i(z) be the second derivative of -z**3\/6 + 4*z. Suppose 0 = -51*h + 26*h + 12*h + 52. Calculate h*k(r) - 5*i(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s + 2. Let p(j) = -62496*j**2 + 9*j + 10. Let a(d) = 2*i(d) - p(d). Let u be a(-2). Round u to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**(17\/3))**(3\/25) assuming v is positive.\nAnswer: v**(-17\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -61 in decreasing order.\nAnswer: 5, 2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/210 - 11*l**5\/105 - 5*l**4\/6 - 50*l**3\/21 - 8*l**2. Factor y(u).\nAnswer: -4*(u + 1)*(u + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2599035112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -373 + 261. Find the common denominator of -93\/22 and (-6)\/14 - 1042\/n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18559349873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/2)\/(1*9\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.08 (b) -3 (c) 1\/10 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -125628\nAnswer: -3\/41876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (0 - -2 - (-43 + 35)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5763796\/26793 - 36\/2977. Let j = -898764779\/144 + 6241639. Let f = j - c. What is the common denominator of -57\/8 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 471448 and 15208?\nAnswer: 471448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * 11107.\nAnswer: -21103.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + sqrt(1008)*1*-5)\/(2*sqrt(144)*-4 + sqrt(144)).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3404853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*z + 225*z = -1815. Suppose 5*l - 20 = -0. Sort -21, 1, l, z in ascending order.\nAnswer: -21, z, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 216 + 252\/5*l + l**3 - 138\/5*l**2 + 1\/5*l**4 = 0.\nAnswer: -15, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, q: 2}. What is prob of sequence qjj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*b - 170*b = -355 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 6*h**2 - 6*h + 1. Let i(x) be the second derivative of x**4\/6 + 5*x**3\/3 + 13*x**2\/2 + 13*x. Let r be i(-7). Let p = r + -36. Determine t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 31 (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2. Let n(c) be the first derivative of -7*c**4\/8 + c**2 + 12*c - 35. Let v(t) be the second derivative of n(t). What is p(v(f))?\nAnswer: 1764*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 112250361 to the power of 1\/2, to the nearest integer?\nAnswer: 10595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 9520*d + 4766*d = -4765*d + 4, -c - 3*d = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2408718, -4817415, -7226098, -9634761, -12043398, -14452003?\nAnswer: -16860570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.045 - -0.295. Let w = 16.66 + j. Which is the biggest value? (a) 0.5 (b) w (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 32. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 191 (b) -1\/4 (c) 4 (d) 1\/5 (e) 0.1 (f) 2 (g) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(250))\/(sqrt(2) - sqrt(128))*5)**2.\nAnswer: 50*sqrt(5)\/7 + 3174\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/50 + (-199)\/(-5). Suppose -4*b = -b + 15, 0 = -5*s - 5*b + 15. Calculate the greatest common divisor of g and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 10*j - 33. Calculate the remainder when 62 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4031490 is divided by 2015600?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -27. Let g be 141\/(-15) + 4\/v. What are the prime factors of 6*7*(-6)\/g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 91*v**2 + 335*v + 5. Give s(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.85 and -1524789.89.\nAnswer: -1524789.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -99. What is the highest common factor of p and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:42 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -21*h - 21*h - 31 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 - 44*q**2 + 21*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**3\/3 + 4*w + 498. Let z(l) = l + 1. What is u(v) - 5*z(v)?\nAnswer: -v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.125 - -3.125. What is the biggest value in j, 4\/5, -0.65?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose f + y = -9. Let c be ((-1)\/(-1))\/(-3)*f. Solve 3*n + n - c*i + 32 = 0, 45 = -5*n + 5*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 79138836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 602 - 197 + 0*z**2 + 0*z**2 + 1643.\nAnswer: z**2 + 844","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21509856499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*h**2 + 2*h - 5 - 78*h**2 + 41*h**2 - 3*h in the form f + v*h + g*h**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 = -10*h + 467 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ook when three letters picked without replacement from {d: 1, o: 3, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 + 1 + -3. Suppose -57 = -5*f + z, 3*z = 4*f + f - 51. What are the prime factors of (l + (-22)\/(-4))*f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 120 = 3*o. Let x = -45 - o. Suppose -3*i - x = 51. Which is greater: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108357669 by 4711203.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-72) + 7904\/(-2688))\/((-106)\/2597)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.089*0.0119\nAnswer: 0.0129591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 96. What is the nearest to 0.2 in f, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*x + 26. Suppose 0 = 2*p - c - 18 + 4, 0 = x*p + 2*c - 20. Let f(b) = b**3 - 6*b**2 + 4*b - 8. Does 4 divide f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -54617\/13 + 4199. Let a = -98\/65 - y. Let z = 3.2 - 3.2. What is the smallest value in -0.4, z, a, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -76, -21, 1, 5, 10 in decreasing order.\nAnswer: 10, 5, 1, 0, -7, -21, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 207.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -21 - (-22 - (58 + -112))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82.169 + 82.8. Let i = 0.631 - q. Which is the fourth biggest value? (a) -4 (b) 0.4 (c) 1\/18 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 - 943\/5. Let h = -1 - -3. Solve 0 - 4\/5*n**h + 2\/5*n + q*n**3 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/3))**(-46) assuming x is positive.\nAnswer: x**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3090, -3153, -3260, -3411?\n\"Answer: -22*v**2 + 3*v - 3071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 12*g + 49. Let o be l(6). Suppose -11*p = 2*p + o. Which is the smallest value? (a) -1\/3 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107*-4.93.\nAnswer: -527.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/((-6)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*d - d + 1627, -4*d = 4. Let q = 2987 - c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 4. Let t = -10.7 - -0.7. Let p = h - t. Which is the biggest value? (a) 1 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -4*t**3\/3 + 9*t**2\/2 - 1. Let s be d(8). List the prime factors of s\/(-10) + (-10)\/25.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -522?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o + 3. Let g(k) be the third derivative of 4*k**4\/3 + 4*k**3\/3 - k**2. Let i be (3404\/598 + -6)*26. Determine i*w(c) + 3*g(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -183*(-3)\/9 + (-8)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -20. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*i = 7*i + 3, -4*n - 2*i = 2. Which is the nearest to n? (a) 0.4 (b) -1 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5)*5*-1. Let k be h\/9 + 5\/9. Let g = -13\/20 + 2\/5. Which is the closest to 4\/5? (a) -5 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 188 - 209. Which is the closest to 1? (a) 1 (b) -1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366*d*l**2*v**2 - 2*d*l**2*v - 7*d*l*v**2 - 1091*d*l*v + 2*l*v + v**2 wrt v.\nAnswer: -732*d*l**2 - 14*d*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468783.9ug to grams.\nAnswer: 0.4687839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 + 3\/(-9)*3. Suppose 1 = q - r. Suppose -95 = -4*x + q. What is the greatest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, -9, 0 in decreasing order.\nAnswer: 3, 0, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3531 - -1.534.\nAnswer: -3529.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zewe when four letters picked without replacement from {e: 13, w: 2, z: 5}?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 231*t + 3237. Determine o(14).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, b: 1, t: 1, h: 1}. Give prob of sequence dbt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 23 = -4*t. Let n be (-3)\/t - 314\/(-5). Suppose 0 = 102*q + 13*q + 169*q - 1988. What is the highest common factor of q and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321 and 38016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-48)*6*1825\/4. Let p = 457 + q. Factor 9\/4*y + p*y**3 + 9\/4*y**2 + 3\/4.\nAnswer: 3*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 53*n**2 - 48*n + 106. Let y be p(-52). Put 2, y, 0.5 in increasing order.\nAnswer: y, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12762.4 rounded to the nearest 100?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12661 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37280353 rounded to two decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 4*q**2 + 0*q**2 - 2*q**3 + (2 + 2 - 3)*(q**3 + 2*q**3 - 2*q**3) - 49*q**2 + 6*q**3 + 49*q**2.\nAnswer: 5*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 + 4. Let a be h(-7). Suppose 2*n + 5*l + 20 = 0, -5*l + 3*l = a. Let g be (2\/n)\/(3\/(-30)). Solve -m - g = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -900\/29 - -4846\/87. Let d = -3356\/5 + 666. What is the common denominator of d and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m**2 - 2*m + 2*m)*(-66 - 428 - 136 + 117) to z*m + w + q*m**2 and give q.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 3. Calculate the remainder when 22 is divided by (o\/(-4))\/(1\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194542 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 8) to base 3\nAnswer: -10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5475 and 96725?\nAnswer: 290175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -467? (a) -2\/3 (b) -0.2 (c) 17 (d) 8 (e) 1\/6 (f) -39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = -4*y, 4*m + 4 = -4*y - 0. Let j = y - -13. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzgzzgxxgxg. What is prob of sequence xxg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 332 + -330. Suppose 156 = 4*i + 4*c, 3*i - x*c = -3*c + 107. Calculate the greatest common divisor of 187 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - -4?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54 and 0.013.\nAnswer: -0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146488096 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = 35*h. Suppose 3*u = r - 6 + 3, -2*u + 3*r - 9 = h. Solve -3*f + 4*f - 3 = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3500, 7024, 10550, 14078?\n\"Answer: s**2 + 3521*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22300002 = 5*j + 2*r, -8*j - r = -9*j - 4459999. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - (-9 - (-6 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 942, 6575, 21906, 51789, 101078?\n\"Answer: 809*o**3 - 5*o**2 - 15*o + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 + 13*c**2 - 65*c + 7. Let m(b) = b**3 + 4*b**2 - 22*b + 2. Give -7*m(d) + 2*q(d).\nAnswer: d**3 - 2*d**2 + 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*f**4 - 8*f**3 + 397*f**2 wrt f?\nAnswer: -768*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + (sqrt(891) - sqrt(891)*2) + 3 + sqrt(891) + sqrt(891) + 4*-1*sqrt(891))*5*1)**2.\nAnswer: -2700*sqrt(11) + 89325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -887 + 1775\/2. What is the nearest to -1\/3 in -0.4, y, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 8 = 0. Let n(j) = -j**2 - 13*j - 25. Let p be n(-10). Suppose p*u - 90 = 10. What is the greatest common divisor of u and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.332 or 0.1?\nAnswer: 4.332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1516661 (base 8) to base 14\nAnswer: -b4025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -13.5 (c) -1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*u - 3*m - 8, 0 = 2*u - 5*m - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.306, -0.2?\nAnswer: -0.306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 87 - 85, 4*x - 13 = 5*m. Let y be ((-578)\/193 - -3)*-3. Are y and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from wuxauwtwwzwwwuuwwww.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + ((-504)\/(-273) - 2\/(-13)). Put 429, 5, d, -5 in decreasing order.\nAnswer: 429, 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/1268775 and -63\/7330700.\nAnswer: 65976300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571688 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a. Let b(c) = -2*c + 27. Let n be b(12). Let l(g) = n - 4 - 10*g + 1. Determine m(l(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h - h. Suppose 4*z = 5*u - 117, 5*z + 3*u - 4*u + 141 = 0. Find the common denominator of h - 2*82\/(-32) and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -888 - -934.84. Let z = 46 - u. Let d = 0.839927 + z. What is d rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -289 - -291. Suppose t = 5*d + 2 + 40, t + m*d = 77. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**2*w**3 + r**2*w**2 + r**2*w - 59515*r**2 + 5*r + 643017*w**3 wrt w?\nAnswer: 6*r**2*w + 2*r**2 + 3858102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006208229 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(19\/4)\/l)\/l)**(-2\/19) assuming l is positive.\nAnswer: l**(-11\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*a - 29, -24 - 14 = -2*o + 2*a. Let w = -318 + 321. Solve o = -2*k + 5*y, 0 = k + k + w*y - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4246 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2.1, -2.7, 1\/13?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722798 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:05 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 12*z**2 - 12*z - 28. Let q be d(13). Let k be (-49)\/(-3) - (-6)\/(q - 3). Suppose 0 = -9*f - 7 + k. Is f < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54159 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -808142 greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1936 and 7920?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99587055 rounded to 2 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/8 + 369*n**2\/4 - 17667*n\/8 + 27885\/2 = 0. Calculate n.\nAnswer: 13, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/11 + 2392\/88. Let d = y + -14. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let t(h) = -4*h + 104828. What is l(t(v))?\nAnswer: 4*v - 104828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2636, -2639, -2642, -2645, -2648?\n\"Answer: -3*d - 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + (-2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 0*o + 0*o)*(-3*o**2 + 0 + 0) + 112*o**4 + 1477*o**4 + 654*o**4 in the form x*o + y*o**2 + w + f*o**4 + s*o**3 and give f.\nAnswer: 2240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 12 = 0. Solve 0 = -y*w - 3 + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) -4 (d) -2 (e) 5 (f) 1\/4 (g) 137\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 100 = 5*l, -8*y + 3*y + 69 = 2*l. Let h be 217118\/l + (-2)\/(2 - 4). What is h rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 1\/3, 39?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115233 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -703b + 11d9?\nAnswer: -5c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16*o + 35. Let x(a) = 3*a + 7. Let t(h) = 2*i(h) - 11*x(h). Give t(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.2 + 46. Which is greater: m or -12.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -13195026\nAnswer: -1\/13195026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0 - 1\/3*n**3 + 0*n - 5\/24*n**4 + 4\/15*n**5 - 2*n**2 - 3\/40*n**6. Find j, given that u(j) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**3 - 2*y**2 + 19. Let w(a) = -45*a**3 - 11*a**2 + 97. Let f(v) = 11*c(v) - 2*w(v). Differentiate f(b) with respect to b.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 36*u + 183 = 0, -2*c = 3*u + 11 + 23 + 5 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86748 - -93?\nAnswer: -86675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 2. Let s be w(4). Let m(z) = -13*z - 1. Let h be m(-1). Suppose 5*o = -7 + h. Sort s, o, -4 in decreasing order.\nAnswer: o, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 - w - 176. Let g(f) = f**2 + 3. Let c be (2 - 0)*(-13 - 368\/(-32)). Let a(s) = c*g(s) + b(s). Differentiate a(v) wrt v.\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 386 - 173 + 211 - 380)*(-2*s + s - s).\nAnswer: 1630*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -5. Let z(h) = -h - 10. Let c(t) = t + 11. Let m(d) = 3*c(d) + 4*z(d). Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21111 + 1020112120011?\nAnswer: 1020112211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, -58, -184, -374?\n\"Answer: -32*x**2 + 34*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 5*p - 33*p**3 - 2*p.\nAnswer: -33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (12 + (29 - 26) + -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65, -64, -63, -62?\n\"Answer: g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84238799*n**2*r + 2*n*r + 680691*n + 4*r wrt n.\nAnswer: 168477598*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4409091?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -147*w**3*z**2 - 3*w**3*z - w**2*z - 15*w*z wrt z.\nAnswer: -294*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001475 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 + b + 4. Let k be r(3). Let h(j) = 6*j - 20. Let f be h(-6). Let p = k - f. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/11)\/(c\/c**(-1\/2)))**(-49)\/(((c**9\/c)\/c)\/((c\/(c**(2\/7)*c)*c*c)\/c*c))**22 assuming c is positive.\nAnswer: c**(-7275\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.101 - -0.007. Let z = o - 20.908. Let k = z - -2.5. What is k rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*a = -0*a - 38, -a + 22 = 3*d. Let w(j) = j**3 - 6*j**2 - 15*j - 12. Calculate w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110*-14*(-25)\/1750\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1413 and 37\/7?\nAnswer: 9891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -35. Suppose 16 = m - 5*g, -d*g = 5*m - g - 80. Suppose 12*x - m*x = -96. Solve -a + 12 = -4*u, -a - 7*u = -2*u + x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 4*q + 6 + 9*q - 48. Let o be j(-5). What are the prime factors of (6\/(-20))\/((-6)\/(-15))*o?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*p = -81*p + 4640. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20205, 31893, 43581, 55269, 66957?\n\"Answer: 11688*p + 8517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 18483.314989\nAnswer: -18481.314989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 12 = g, 0*g = 5*t - 4*g - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (276\/10)\/((-15)\/(-50)). Suppose -p + 937 = 5*l. Let u = l + -120. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.003 (b) -2\/3 (c) 2\/15 (d) 0.3 (e) -199\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 12, s: 1, i: 1}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/126 and -3 + 8 - 2258\/462.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-28))\/(((-36696)\/10472)\/(-139))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -345*g**2*j + 208*g*j**2 + j**2 + 262134 wrt g.\nAnswer: -690*g*j + 208*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/69)*w\/w**3)\/(w**(-5)\/w*(w*w*w**(-21))\/w))**(-2\/7) assuming w is positive.\nAnswer: w**(-3316\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -342454 + -163?\nAnswer: -342627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-296)\/36 - 4\/(-18). Let g(w) = -w**2 - 10*w - 16. Let z be g(j). Solve 20 + z = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b - 52. Let n(t) = 13*t + 129. Determine s(n(w)).\nAnswer: -169*w**2 - 3341*w - 16564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -108*l**4 - 465*l**3\/4 + 2622*l**2 - 3537*l - 756 = 0.\nAnswer: -6, -3\/16, 2, 28\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 1 z when three letters picked without replacement from xzzvpzzpvzlzzk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (10218*y - 2 - 4 - 6 + 12)*((2 - 2 + 2*y)*(-2 + 0 + 3) + y + 2 - 2 - 2*y + 3 - 3 + 2*y + y - y - 2 + y + 2) as q*y**2 + x*y + u and give q.\nAnswer: 40872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/24*6 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 158 + 10. Let g = c + 125. Let f = g + 72. What are the prime factors of f?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 771002 - 136196 = 0. Let k be (q\/(-56))\/(15\/(-50)). Let m = 12601 - k. Calculate the common denominator of m and -39\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 divided by 13?\nAnswer: 284\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2490 divided by 15?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 120, 2\/13, -5, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 11*c + 1. Let d(w) = -w**2 + w + 1. Let x(g) = 4*d(g) - p(g). Let i be x(-7). Let u(t) = 3 - 4*t - t**2 - t + i*t. Determine u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 821 + 731 = -13*z + 3*d, 36*z = 4*d + d - 998 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = -5*j - 122. Let g be 253\/j + (-4)\/(-10). Let n = -517\/4 + 129. What is the fourth biggest value in 4, g, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12, 0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -10)\/(2 - 1). Suppose 5*s = 10*s, 4*y + 4*s + v = 0. Put y, 11, 1 in descending order.\nAnswer: 11, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14*s. Suppose -16*k = -39 - 9. Suppose -23*t + k*h + 20 = -18*t, 4*t - 3*h = 13. Let l(o) = 5*o. Determine t*l(i) + 2*q(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 300*t**3 + 1272498608*t**2 + 1349377273101596*t + 35983393044488 = 0. Calculate t.\nAnswer: -2120831, -2\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/62 - (-226)\/(-20) and -34\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 42*i - 349. What is the lowest common multiple of 28 and t(15)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/3, 3, 4, -0.1521 in decreasing order.\nAnswer: 4, 3, 2\/3, -0.1521, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 193 + 193 - 3*i - 2*i**2)*(-i - i + 3*i).\nAnswer: 2*i**4 - 2*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = g + 3*n - 6*n, -3*g - 3*n = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/128 and 67\/336?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1263\/421*(-2)\/34?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + 43. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/33741 and 61\/269928?\nAnswer: 269928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24)*-4)\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2647, 2645, 2643?\n\"Answer: -2*m + 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-320)\/35 - -6)\/((-2)\/7). Solve -a - b = 5*s, 3*a + s = 6*s + 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 4. Suppose 12*r = 13*r + 4. Let i(j) = j - 5. Calculate r*q(o) - 3*i(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 500\/1140 - (-4 - 390\/(-95)). Suppose -3*m + u - 15 = 3*u, m - 2*u = -13. What is the third smallest value in z, m, 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -52. Suppose b + 4*q + 36 = 3*b, 0 = -4*b + q + s. Calculate the remainder when 16 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11101001?\nAnswer: 11100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76160 = -938*h + 921*h. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + 20 + -86 - (7 + -31).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 352062081 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 9, -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*x + 17 + 5, -4*y + 12 = -2*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2269568 and 1043?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(6\/36). Let x be 128 - q*1\/(-3). Let t = x + -3301\/26. Find the common denominator of 37\/12 and t.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -4*z + 2 + 1\/4*z**4 + 5\/3*z**3 + 0*z**2. Let q be s(-4). Solve 2*i + q = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23371413.\nAnswer: 3, 13, 17, 35251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 4, r: 2, i: 2, e: 3}. Give prob of sequence iq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 843318.7 years in millennia?\nAnswer: 843.3187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -247 - 11*d + 35*d**2 + 240 - 30*d**2. Let h(r) = r**2 - r - 1. Give -6*h(s) + z(s).\nAnswer: -s**2 - 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 551472 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 971077957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1122 = -3*w + 3505, -w + 1568 = -4*s. Calculate the highest common factor of 84 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9593440*z + 4796235*z + 4797207*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3944\/986 + (0 - (1 + 22\/8)). Which is the closest to w? (a) -0.2 (b) 6.7 (c) 3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321 and 4173?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (24 - (-10 + 24)) - -52.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - ((-84)\/(-18) - 1). What is the nearest to -9 in -5, n, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364237*i - 5037 = -364456*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a, -2*k - 2*a + 36 = 0. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-684)\/570)\/((-10)\/(-25))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = 11*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(272) - (sqrt(272) - sqrt(272)*-5 - sqrt(272)))**2 + -4.\nAnswer: 4347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665974?\nAnswer: 2, 832987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*f**2 - 14*f**2 - 44*f**2 + 2*f**3 to the form y*f**2 + h*f**3 + a*f + x and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/(-23 + 1292\/56)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12032223 + 32101?\nAnswer: 12130330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-8)\/3)\/(6\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*u + 205*u + 7854 = 28*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 15*c - 27. Let r be w(-11). Suppose 32*k = 28*k + r. What is the highest common divisor of 38 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8428727 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 4014080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - 3.95. Let o = -3.5 - w. Let l = 0.29 - 6.29. What is the third smallest value in -5, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 18 = 0. Let j(g) = 3*g**2 - 5*g - 7. Is j(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by 31?\nAnswer: 270\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 10990?\nAnswer: -1\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2\/3 + 139801*w\/3 + 1957018\/3 = 0.\nAnswer: -139787, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 2*j)*(3*j**4 - 7*j**4 + 2*j**4) + 6*j - 6*j - 9*j**5 + 0*j**2 + 0*j**2 - j**5 + 5*j**5 - 72*j**5 - 36*j**5.\nAnswer: -117*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -582 + 5847\/10. What is the common denominator of -68\/9 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-792597)\/65)\/(25\/(-125))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110166638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.08 - -6.08. What is the fourth biggest value in -33, 2\/3, -6, p?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.103453 * 0.153\nAnswer: -0.015828309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + -12 + 107 - 133.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 smaller than -3928655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*z**2 + 29*z + 5 wrt z.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2\/r**(-2)*r\/r**(-2)*r*r\/(r**(5\/6)\/r)*r*r**1*((r*(r**(-5)*r*r*r)\/r)\/r*r)\/r*(((r\/(r**(-1\/5)*r))\/r*r)\/r*r)\/r**(-4) assuming r is positive.\nAnswer: r**(371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 4693894 + 4693894.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343986 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19*y - 18. Calculate the remainder when 15810\/(-62)*1\/(-3) is divided by i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.8. Let q = 86 + -82. Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -46*x - 13. Let y = 184 + -187. What are the prime factors of s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + 2*sqrt(5) + sqrt(5) + sqrt(60)\/(sqrt(36)\/sqrt(3)) + (-4*sqrt(245)*1 + sqrt(245))**2 + 1.\nAnswer: 4*sqrt(5) + 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 + -209 + 195 + (1 - -4 - (14 - 11))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/9, 1\/23, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1599\/123)\/(8*286\/19536)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 2)*(0 + 2 - 1) + 19 + 75 - 31)*(-2*w - 2 + 2) to the form l*w + p and give l.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 935*m + 9 - 4 + 0 - 5 in the form v + z*m and give z.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 114142 (c) 1906 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 3. Let g(f) = -6*f - 1. Let s(d) = -12*d - 1. Let a(t) = z*s(t) - 13*g(t). Calculate the remainder when a(7) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -41, -48, -57, -68, -81?\n\"Answer: -l**2 - 2*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1387 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95951482 and 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 2*o**2. Let q be p(-2). Suppose b = -3*d + 17 - 1, -5*d - 3*b + 28 = q. Suppose d*y = -6 + 21. Calculate the highest common factor of 9 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1506.358152 to one decimal place.\nAnswer: 1506.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 8*q**2 - 6*q + 6. Let b be z(-7). Let l be (-2*(-3)\/(-6))\/(b\/9293). Suppose -l = -4*i + 4*p - p, 2*p = -5*i + 11599. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(1053) - -5*sqrt(1053)))**2 - (sqrt(13) + (-5 + sqrt(52))**2).\nAnswer: 19*sqrt(13) + 36440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q, 3*s + 3*q + 10 = 151. Which is the closest to 0? (a) -3 (b) -0.5 (c) s (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18125.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 662.4721 litres?\nAnswer: 662472.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445 = 156*k - 652 - 1399 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2547223\/15410 - 5\/1541. Let w = -684\/5 - z. Calculate the common denominator of 77\/10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-122)\/(-8) + 2\/(-8). Let n be 4\/6 - (-2870)\/z. Suppose 6*v = -n + 654. What is the remainder when v is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -126059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d**2 - 81*d**2 - 118*d**2 + (d + 0*d + d)*(2*d + 3*d - 4*d) in the form f*d**2 + l + s*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7 minus -3622.1182243?\nAnswer: 3632.8182243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 8. Does 16 divide n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40*(-7)\/(-224))\/(2\/(-56)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.15, -1, 0.33, 3, 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f**2 - 9 + 0*f - 1\/3*f**3 - 1\/8*f**4. Let s(b) be the second derivative of m(b). Calculate s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16341 and 16491 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q, -41*w - 3*q = -36*w - 2757. Calculate the remainder when w is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1314 and 13575591.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmm. Give prob of sequence mm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {p: 1, z: 5, y: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 18 - 21 - 23 - 23 to w + o*y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 4. Let r = w - 80. What is the units digit of r + 51 + 3 + -10 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 13*m - 18. Let d be y(15). Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = -240. Suppose -3*z + v = 3*p - 186, -3*p = -3*z + 282. Calculate the greatest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -96, -142, -188, -234, -280?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2914 - 2911. Solve 5*y + v*b + 24 = 0, -4*b = 12*y - 9*y + 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326484?\nAnswer: 2, 3, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 68*l**3 - 19*l**2 - 204*l - 439. Calculate q(-3).\nAnswer: -1834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1144551\/44 + 139081\/11. Let r = -38467 + w. Let y = r + -2225\/12. Which is bigger: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asswsssssssmsmscsw. Give prob of sequence mmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2. Let c(v) = 0 + 2 - 7 + v**2. Let o(y) = 1. Let j(r) = c(r) + 5*o(r). Give p(j(f)).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + 2, 5*z = -p + 14. What is the third derivative of n**2 - 6*n**z - 2*n**3 - 4*n**2 + 4*n**2 wrt n?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7299*u - 58394. Determine i(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 7*k + 12. Solve -18 = k*q + 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1169.998144 - -1170. Round y to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/3 + 13*c\/3 + 4 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 5. Let n be u(6). Let j be n*1*6\/(-1). Suppose -k - j = -3*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-16))\/(33\/11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*g + 7*g - 34 = 0, g = 4. Let x = 26 - 25. Calculate the remainder when 8 is divided by x\/y + 17\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 2*y**2 - y - 1. Let t be (-15)\/2*4\/(-3). Let q = t + -5. Let b = -3 + q. What is d(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4842, 4158, 2308, -1290, -7218?\n\"Answer: -97*m**3 - m**2 - 2*m + 4942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k - 72 = 68*k. Let f be ((-21)\/(-3) + -7)*2\/k. Solve n - 5*b = 7, 6 = n - f*n - 4*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 3*sqrt(170)*2 - sqrt(170))*-3)\/((sqrt(160) + sqrt(160) + sqrt(160) + sqrt(160)*2)*6).\nAnswer: -3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 285343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -4. Suppose j - 4*y - 3 - 11 = 0, -z*y - 12 = 0. Solve 0 = q - 5*c + 12, j*q = 4*q - 5*c + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 2*t - t)*(-6*t + 38 - 72 + 31) in the form c*t + f*t**2 + x and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + n - 63 - 60 + 41 - 2*n.\nAnswer: 2*n - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1 + (1 - 6). Put 4, z, -5 in descending order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j**2 - 535*j + 18. Let k(o) = 6*o**2 + 268*o - 8. Let v(f) = 9*k(f) + 4*p(f). Determine y, given that v(y) = 0.\nAnswer: -136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/3 - k**3\/6 - k**2\/2 + k. Let i(c) = 11*c**2 - 3*c - 2. Let f = 2504 - 2512. What is f*s(d) + 3*i(d)?\nAnswer: d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18342000 rounded to the nearest 100000?\nAnswer: 18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128582138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, y: 12}. What is prob of picking 3 k and 1 y?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**5\/3 - s**4\/12 + s**2 + 3*s + 293. Let r = 3 + -1. Let o(h) = -r*h + 2*h + h. Determine f(o(x)).\nAnswer: 20*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 723 - 52. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1\/4, 0.7, 15\/8, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9638421 divided by 4663\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(104)*2)\/sqrt(8).\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**2 + 2*l - 32. Let c(j) = -42*j**2 - 11*j + 161. Give 2*c(m) + 11*i(m).\nAnswer: 4*m**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2, r: 1}. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - 2) - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 - 161\/(-49). Suppose -3 = -k + h. Let q(t) = -t**3 + 5*t**2 + 7*t - 5. Determine q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -492977.7962 - -493019. Let u = y - 41.2. Round u to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4045.5 and 13.1.\nAnswer: -52996.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1331812, 1331710, 1331608?\n\"Answer: -102*p + 1331914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 86*c + 600. Let w be k(8). Suppose 5*j = 6*y - 3*y + 66, 0 = -y - 2. Suppose -x - w = -5*x - 5*d, -j = 3*d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11931815 divided by 5.\nAnswer: -2386363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 4816*p - 4544064 = 0. What is p?\nAnswer: 1288, 3528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -16*a. Let x(w) = -w**2 - 2*w - 1. Let h be x(-1). Let b(z) = h*z - 4*z + 6*z. Give u(b(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o - 3*h + 3 = 0, -5*h = -4*o - 23. Let u be (-3 + 2)*o\/(-1). Let i(j) = -34*j - 1. Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20353692 is divided by 251280.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21710 and 416?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*((z*z**(-3\/8))\/z)\/z*z**(-2\/19)*(z*z\/(z*z**0))\/z**(5\/3)*(z**(-1\/2)*z\/(z**(5\/6)*z))**(-41) assuming z is positive.\nAnswer: z**(8135\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 205478.\nAnswer: -205477.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 7*u**2 + 21*u + 2. Calculate the remainder when k(9) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 11, w: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**2))\/(d**(-14)*d)*(d**(-4)\/d)**(-37) assuming d is positive.\nAnswer: d**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -203333 (base 5) in base 6?\nAnswer: -51034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*v + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -102*d - 10112. Calculate s(-99).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, y: 1, f: 1, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52 - -44 - (1 + 0 + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -1\/2, -2\/5, -2\/11 in decreasing order.\nAnswer: 3, -2\/11, -2\/5, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -3\/2, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2664 - -12663. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + 2.5. Let t = j - 3.1. Let n be (-3)\/60*2 + (-2)\/(-4). Which is the closest to n? (a) 2\/15 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138424496 by -138424496.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4436, 5174, 7174, 11066, 17480, 27046, 40394?\n\"Answer: 105*a**3 + a**2 + 4330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2478\/2065)\/(2\/(560\/(-12))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4542158235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 (base 14) in base 2?\nAnswer: -1101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102323013 - -11021?\nAnswer: -102311332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1288 + 3*d + 2576 - 1288.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0. Suppose -5*j + 6 = -2*j. Let m be ((-9)\/18)\/((-3)\/j). Put m, o, 3 in descending order.\nAnswer: 3, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56118703 to the power of 1\/2, to the nearest integer?\nAnswer: 7491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -5\/12*i**4 - 1\/360*i**6 + 1\/30*i**5 + 0*i**3 + 0*i**2 - 6*i + 0. Let j(g) be the third derivative of y(g). Calculate j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 346\/(-2) - 2. Suppose 2*i - j = 6*i. Let h be (2\/16)\/(7\/i). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/343 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 5*k + 15. Let b(g) = -5*g**2 - 9*g + 29. Let y(j) = 4*b(j) - 7*r(j). Let w be y(0). Suppose h - w = 1. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 45 + 43. Let b = -21 - t. Suppose -7 - 7 = -7*g. Solve -v + b = -g*z - 6, -5*v = 5*z - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/(-9))\/((-2)\/3). Let v(s) = s - 9. Let i be v(o). Which is the nearest to 0? (a) -1\/5 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 3997509589 - 3997509589.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62493, -62492, -62491, -62490?\nAnswer: -62489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2296127917 at least as big as -2296127916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4079321?\nAnswer: 31, 131591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -543 (b) 5 (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7996.\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(3500) - (sqrt(3500) - (-2*sqrt(3500) + sqrt(3500))))\/sqrt(7) + (1 + sqrt(20)\/sqrt(4))**2*-3).\nAnswer: 108 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 19*w**2 + 59*w + 40. What is s(15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/i**(-4))\/i*i*i)\/i*i*i**(-5\/6))**(-2\/129) assuming i is positive.\nAnswer: i**(-37\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1026117 and -2.5.\nAnswer: 2565292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2151\/1025 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433 by -11.\nAnswer: -433\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 43067694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 25, -35, 1 in increasing order.\nAnswer: -35, -1, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 3*r + 1. Let h(k) = -21*k**2 - 16*k - 4. Give -11*c(v) - 2*h(v).\nAnswer: -2*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 + 3 = 4*u, -5*u = 0. Let i(c) = -c**3 + 19*c**2 + 4. Let j be i(19). Let v be j\/d + (-44)\/28. Let t(m) = 11*m**2 - m. Determine t(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 1, 20, 57, 118, 209, 336, 505?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 7. Let g(w) = -w**3 - 6*w**2 - 8*w - 7. Does 7 divide g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w. Let j(k) = k - 3 - 8 + 3 + w*k. Let q be j(6). Is -5\/2 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278109*m*o**3 + 21*m*o**2 - 5*m + 42*o + 4 wrt o.\nAnswer: 1668654*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1351998 = s, 2*s = 6*u - 10*u + 1351996. What is u rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 1367?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -1 (c) 34 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acacxxooxcoxcmxoxcmx. What is prob of sequence oacc?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 363749701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9081.437 litres to millilitres.\nAnswer: 9081437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + 57. What is the remainder when x is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -2.\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1190, 5383, 12400, 22235, 34882, 50335?\n\"Answer: -y**3 + 1418*y**2 - 54*y - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = -3*v. Let b(r) = 11*r + 8. Let k be b(v). Suppose -4*c + k = 2*x + 3*x, -x = c - 17. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**2\/2 + 127*x. Let a(y) be the first derivative of 3*y**2\/2 - 7*y + 1. Calculate a(o) - 5*h(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*m + 3*m. Suppose m*r = -3*r + 45. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9763.1668 - -0.1668. Let g = y - -9763.9006. Let p = g + -0.9. What is p rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*p**5 + 18*p**5 + 22*p + 6 + 51*p**5 wrt p?\nAnswer: 2500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 2*x + 8 = 2*o, 5*x - 19 = 3*o. Let t = o - -3. Factor -2\/5*m**3 + t*m + 0 + 2\/5*m**2.\nAnswer: -2*m**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-13 + (-3 + 7 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:24 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15974002.\nAnswer: 2, 11, 726091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*t = -68, -2*x + x = 3*t - 10. What is the highest common divisor of 117 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 + 3178*s**2 + 135 + 1600*s**2 - 271.\nAnswer: 4778*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r - 9*r - 6*r + ((-4 + 6 - 1)*(-2 + 2 - 1) + 3 + 0 - 4 - 4 + 5 - 2 - 3 + 2 - 1 + 1 + 5 - 4)*(-2*r + r + 2*r) to the form y*r + n and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272181415 - 272181415 - 9759*c)*(-2*c**2 + 0*c**2 + 4*c**2).\nAnswer: -19518*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2686639, -2686635, -2686631, -2686627?\nAnswer: -2686623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140732443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -175 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-4*c + 2 - 2) - 2 + 2 + 4*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/12 - 8*s + 100\/3 = 0. Calculate s.\nAnswer: -100, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -560 + 647. Calculate the remainder when 160 is divided by s.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from gggggkgkgygggggkxxg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -430273?\nAnswer: 25816.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2*c - c)*(4*c**3 - c**3 - 2*c**3).\nAnswer: -3*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 24 = -2*y - 2, -9*z + 14 = -4*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*a**3 - 2*a**2 + 2*a**2 + 131*a**3.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 558406 - -16?\nAnswer: 558423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 3*y - 1. Let s(l) = -l. Let f(g) = -2*s(g) + v(g). Let t(w) = 2*w**2 - 4*w - 4. Let k(x) = -4*f(x) + t(x). Let h(i) = -i**2. Give h(k(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2c736 (base 13) to base 2\nAnswer: 10100101011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -28556?\nAnswer: -28557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48263479 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 - 0.14. Put d, -0.2, 2\/5 in descending order.\nAnswer: 2\/5, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780978 divided by 70998?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/90 - 2*c**3\/45 - 20*c - 106. Let a(v) be the first derivative of j(v). Find d such that a(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 48*h + 3. Let q be l(12). Suppose 4*w + w - 1655 = -q*k, 5*w + 4*k = 1650. List the prime factors of w.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + v**4 - 2*v - v**3 + 4*v**4 + v**3 + (-1 + 1 + 2)*(0*v**4 + 5*v**4 - 4*v**4).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3687735 * -65.\nAnswer: -23.9702775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -516 - 46507.\nAnswer: -47023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 0*f**4 - 2\/75*f**5 + 0*f**3 + 0 + 0*f - 1\/420*f**8 - 24*f**2 - 8\/525*f**7 - 1\/30*f**6. Factor c(o).\nAnswer: -4*o**2*(o + 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 529\/4 + -2571\/20. Let j be 2872\/(-66)*(-34)\/12. Let s = -1126\/9 + j. Find the common denominator of s and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 v when four letters picked without replacement from {v: 9, d: 3, i: 1, a: 5}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 27.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25262378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238038?\nAnswer: 2, 619019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(8\/5))\/w**(1\/37)*(w*w*w**(3\/16))**(7\/9) assuming w is positive.\nAnswer: w**(113869\/26640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13338 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 - 185 = 11*d. Suppose 47418 = -d*g + 36*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 5*h**4\/12 + 5*h**3\/6 - 5*h**2 + 7*h. Determine u, given that p(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.0347.\nAnswer: 0.1041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + (-14 - (-32 + 24 + 31)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -17*j**5\/20 - 41*j**3\/6 + 4*j. Find the second derivative of v(f) wrt f.\nAnswer: -102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 4:37 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (225\/495*(-54)\/(-45))\/1\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5333209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1190.054 + 1186. Round t to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - 73?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071247 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j - 15 - 271 = 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i**0*(i**0)**(-2))\/(i\/i**3*i**(3\/2)*(i**(-5\/4)\/i)\/i**5) assuming i is positive.\nAnswer: i**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7269, -1, -2\/11 in ascending order.\nAnswer: -7269, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168643 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 5, -2\/5 in decreasing order.\nAnswer: 5, 4, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1079997030 - -1240?\nAnswer: -1079995790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:55 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 36*o**2 + 38*o + 1050. Determine z(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/3 - 512*z**2\/3 - 193442*z\/3 + 193952\/3 = 0. Calculate z.\nAnswer: -209, 1, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.7 + 2032?\nAnswer: 2018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/73117 and 12\/1428185.\nAnswer: 412745465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/60 - b**4\/12 + b**3\/2 - 9*b**2. Let j be z(8). What is the greatest common factor of j and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9394529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 0*x - x = 0. Solve -7*q + 14 = -x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792199 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110020223120 - -11?\nAnswer: 110020223131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 1. Let h(m) = -2*m + 0*m - 4*m - q - 5*m. What is the units digit of h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 186 = 4*c + 310, 4*s = c + 644. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4 - -2)*(4 - (-9 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1058?\nAnswer: -1\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - l**4 - 2*l**5 + (4*l**2 - 6*l**2 + 4*l**2)*(-33083*l**3 + 16300*l**3 + 10973*l**3).\nAnswer: -11622*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 5*m**2 + 11*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**4 + 766573*g**3 + 294151*g**2 + 4*g wrt g.\nAnswer: -72*g + 4599438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 10 = -24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 131*x**2 + 2*x + 4. Let j be y(-1). Suppose 252 = 5*m + 1067. Let w = j - m. Is 43 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 5\/3 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(-5*c + 0*c + 3*c)*(0 + 3 + 0)*(18*c - 33*c + 2*c).\nAnswer: -312*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-11 - -19) - 0 - (14 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, 23303, 297, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1829\/1101 + 2\/367. What is the second smallest value in o, -3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.415 - -0.416485. What is z rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 34 = 4*n, -2*c - 7*n - 33 = -2*n. Find the common denominator of 27\/10 - 2\/1 and (3 + -2)*c\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -3 - (6 - (-10 + 10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15. Suppose -310 = -5*z - 5*t, 0 = c*t + 1 - 10. Let r = 122 - z. What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - 118. Suppose u*z = 4*s - 8*s + 370, 2*z + 440 = 5*s. Calculate the highest common divisor of s and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5581906 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520862 (base 13) to base 12.\nAnswer: 78428b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2893.2 - -2893. What is the third smallest value in -59, s, -13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810) + 3*sqrt(810)*-2)\/(-2*(sqrt(5) - (sqrt(5) + sqrt(10)\/sqrt(2))) - sqrt(315)\/sqrt(7)).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8660 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -623, -930, -1237?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-4 - -1) + -3 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -428*((-1043)\/298)\/((-2)\/(-1)*7).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.083, -9420, -2 in descending order.\nAnswer: 0.083, -2, -9420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -14*y**2 - 461*y + 76. Is 6 a factor of g(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/((n**(3\/20)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/45 - (1 - (0 + -1)). Factor 0 - l*o**2 - 2\/5*o.\nAnswer: -2*o*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147483, 2294970, 3442459, 4589950, 5737443, 6884938, 8032435?\nAnswer: 9179934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*v - 3*o - 54, -63 = -4*v - 3*o. Let z(n) = n**3 + n**2 - 13. Let d be z(0). Let l = d + v. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 44.6. Let r = 42 - n. Let l = 4.7 - 5. Which is the closest to 1? (a) l (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205354*n - 51357*n - 51333*n - 51347*n - 51382*n.\nAnswer: -65*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + o + 33 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 5. Let y(v) = -5. Let h(s) = 2*x(s) - 2*y(s). Let z(a) = -3*a**2 - 108. Give h(z(k)).\nAnswer: -6*k**2 - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 3*z**2 + 51)*(0*z - 5*z - 12*z) as t*z + l*z**2 + h*z**3 + u and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 116*-0.7\nAnswer: -81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -1758, -3\/5 in descending order.\nAnswer: 0, -0.5, -3\/5, -1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from xpxoroopvrxpppf?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuduuudd. What is prob of sequence uduu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -366 + 367. Calculate the greatest common divisor of p and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 4872*t + 143460.\nAnswer: 3*(t + 30)*(t + 1594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 26 = 5*d + 6, 4*n + 3*d + 28 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -26*c + 8. Suppose 11 = -3*a + 4*m, 10*a - 5*m + 6 = 14*a. What is the units digit of n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.3036 and 0?\nAnswer: 3.3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477151086 and 670?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5 + 135*s**4 + 120*s**3 - 260*s**2 = 0 for s.\nAnswer: -26, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1763 * -56714\nAnswer: -99986782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i - 6*i**3 - 11*i - 17*i**3 + 6 - 6 - 2*i**3 + (-2*i + 1 - 1)*(2*i**2 - 7*i**2 + 3*i**2).\nAnswer: -21*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 0*h - h - h**3 - h + 6*h**2 + 7 - 2*h**2. Let v be x(5). Let c = 45 + v. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 18 + 0 = 2*y, 4*t = -4*y + 44. Suppose 4*c = y*c + 30. Suppose -3*o - 14 = -f, f = -4*o - 0*f - 28. Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115575*u**2 - 2*u**3 - 12 - 115575*u**2.\nAnswer: -2*u**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 + 69 - 26 + 94 to j*f**2 + n*f + y and give y.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107416 is divided by 10927.\nAnswer: 9073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35 + r - r**4 - 61*r**5 - 97*r**2 + 97*r**2 wrt r.\nAnswer: -1220*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f - 2\/15*f**3 - 2\/25*f**5 + 0 - 1\/5*f**2 + 7\/30*f**4. Factor d(c).\nAnswer: -2*(c - 1)**2*(4*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 390 = 5*o, -o = -2*o - 3*m + 61. Suppose 0 = -4*n + 9 - 1. Find the common denominator of -49 and (-3)\/((-84)\/o)*n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1 + 40*h**2 + 0 + 12*h + 0 + 3 + 15*h**3. Let m(t) = 15*t**3 + 41*t**2 + 12*t + 5. Let r(k) = -5*i(k) + 4*m(k). What is y in r(y) = 0?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511739149?\nAnswer: 47, 231661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1797.9 - 1.82453.\nAnswer: -1799.72453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8768 - 9790 = -6*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 154*t + 795. Let d be l(-5). Let u = -6 + 5.6. What is the closest to d in -2.3, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7994 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 2*g. Let j be v(0). Suppose -5*f + 160 = -0*f - 5*m, 3*f + m - 88 = j. Let d = -8 - -18. Calculate the greatest common factor of d and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 - 3*g**4 + 2*g**4 + (-4*g**3 + 2*g**3 + g**3)*(-2*g + 0 + 0) + (-3*g**3 - g**3 + 2*g**3)*(2 - 2 + 2*g) - 9*g**4 - 3*g**4 - 3*g**4.\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 699*i - 2. Suppose -2*f - 5 = 4*s - 5*s, -s + 6 = -3*f. Let b be h(s). Suppose -17*l - b = -22*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71681.86um in kilometers?\nAnswer: 0.00007168186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 725 - 730. What is the third biggest value in -8, j, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 63*x - 399 - 135 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 36056?\nAnswer: 36056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 7. Let z be v(-3). Let w = -19 - -33. Calculate the greatest common factor of w and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p - p**2 - 3*p**3. Let k be g(-1). Solve 0 = -4*a - 6 + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let q(v) be the second derivative of -121*v**3\/6 - 185*v. Determine q(i(f)).\nAnswer: -121*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4.1 (b) 5 (c) -0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11430144 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 + 917*g**4 - 56178*g**3 + 1156682*g**2 - 420473*g - 680943 = 0.\nAnswer: -3\/5, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -570*g - 10*g**3 + 95*g**3 + 565*g to r + h*g + z*g**2 + c*g**3 and give c.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 47*w + 130. Calculate f(22).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x. Let v(n) be the third derivative of -n**5\/60 + n**3 + n**2. Let h(d) be the first derivative of v(d). Determine h(s(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -o + 23, -r - 235 = -3*o - 2*o. Suppose -1206 = -8*j + 426. What is the remainder when o is divided by (4 - (-120)\/(-32))\/(3\/j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 5, t: 8}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(245) + -2*sqrt(245) + sqrt(245)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*t - 2372, 3*t = -4*j + 1022 + 1350. What is j rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.2673 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.07 + 6.93. Let v = 0.01 - -34.99. Let p = v - a. Put -2\/15, -0.4, p in descending order.\nAnswer: p, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from cmbmmsmsmccmcmmcb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npqppnn. Give prob of sequence pq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let w(d) be the first derivative of 5*d**3\/3 + 8. What is w(c(o))?\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71734.6167 rounded to the nearest 100?\nAnswer: 71700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 + 2*s + 1. Suppose -1 = 4*w + 3. Let x(k) = k**3 - k**2 + k + 1. Calculate w*o(c) + 2*x(c).\nAnswer: -c**3 - 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -501*s + 384. Let p(l) = 125*l - 95. Let z(u) = 2*o(u) + 9*p(u). Differentiate z(r) wrt r.\nAnswer: 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 16) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2295567*u**3 + 3*u**2 + 59*u - 60. Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/5)\/((-21)\/70). Let w = 80 + -79. Suppose 4*v + w = 3*a - 0*a, -v = -a + 1. Solve 2*t - 3*h = -9, -4*t - 2*h = v*h - g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2. Let l(o) = -o. Suppose 0 = -4*t + 4*g - 28, -3*g - 1 = t - 2*g. Let n(f) = -2*f. Let k(b) = t*n(b) + 7*l(b). Determine k(x(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v - 16*v**2 - 19*v + (0*v - v - v)*(0*v - v - v))*(440*v - 440*v - 192*v**2).\nAnswer: 2304*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*u + 0 + (3 - 3 + 2)*(-2*u - u + u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 992?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 39*c - 117. Let f be s(4). Suppose 3 = 5*v - 12. Let q = f - v. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2214 and 23499072?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111002130 - -2?\nAnswer: -111002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/91 + 109\/819. Let a(h) be the first derivative of 0*h - 1\/6*h**2 - d*h**3 + 2. Factor a(g).\nAnswer: -g*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 18*j + 19*j - 12*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {f: 2, c: 7, i: 7, z: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z + 3*z**2 - 11*z - 9 + 24*z to b*z + x + f*z**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + -3 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*3\/(-12) - -92. Let y be (-6)\/33 + s\/(-33). Let m be y\/(-1) + 1\/(7\/112). Solve -2*d - 5 = -3*t, -7*d + 2*d - 3*t + m = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37109 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/99)\/(8\/9840*-25)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*p - 8850, -4*z - 5*p - 2696 - 4384 = 0. Let a = -547 - z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1365 - -956. Let k = p - -634. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let h(p) = -49*p**2 - 11*p. What is h(s(y))?\nAnswer: -49*y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 2. Let j = -3 - -18. Calculate the remainder when z(-5) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464903.5 + 376871. Let b = 88031.0000018 + w. Let p = b + 1.5. Round p to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348739712 to the power of 1\/2, to the nearest integer?\nAnswer: 36725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129 + 149. Solve 0 = 5*g - 0*g + h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -88*j**2 + 150*j + 477. Give p(-3).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4637070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/83)\/((d\/(d*d**18))\/d))\/((d**(-28)*d)\/(d*(d*d\/(d\/(d\/(((d**(8\/9)*d)\/d)\/d))*d))\/d)) assuming d is positive.\nAnswer: d**(35210\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 - 268*y + 8978 = 0 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yffs. Give prob of sequence yf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34483082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 + 5*b. Determine u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 8:24 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:08 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -15, 90.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.41557 to 2 decimal places.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 4*s + 4. Let q be a(4). Solve 0*t = -q*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/10 at most -0.03204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -37*p. Let z(r) = 101*r - 205. Give z(a(s)).\nAnswer: -3737*s - 205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*k + 5*i + 7, 4*k + 31 = 5*i. Let z = 491 + -489. Sort k, z, -3 in decreasing order.\nAnswer: z, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:54 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 (base 9) in base 14?\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 5*w**3 - 11 - 1 - w + w**2 + 36*w.\nAnswer: 5*w**3 + w**2 + 35*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*o - o**3 + 66*o + 6 - 124*o as v*o**2 + z*o + r*o**3 + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -354*b + 63776. Give d(180).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011000 (base 2) in base 3?\nAnswer: 222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -21, 334 in descending order.\nAnswer: 334, 11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 - 18 - 27*j**2 - 16 + 31 to the form a*j**2 + s + q*j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t + 1. Suppose 6 = -4*p + 2. Let i be y(p). Suppose 0 = -2*z + 8, i*a = z + 101. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -767546785 and -0.077.\nAnswer: -767546785.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -8*a**4\/7 + 2*a**3 + 4*a**2\/7 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -24\/3541?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/3 - 11*m\/3 - 42 = 0.\nAnswer: -7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171204?\nAnswer: 2, 3, 11, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 7, y: 1, o: 3, u: 1}. Give prob of picking 1 s and 1 j.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, 1\/2, 59, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(1 + sqrt(1100)))**2.\nAnswer: 360*sqrt(11) + 19818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24028031 is divided by 861.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 8) to base 12.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3484 and 1340?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39 - -42 - (-4 + 6 - 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107.543 - 100.4. Let s = -48.427 - q. Round s to 0 dps.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luqlplplpppupulupu. Give prob of sequence puql.\nAnswer: 35\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72062, 72620, 73178, 73736, 74294?\n\"Answer: 558*p + 71504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132246 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 - 4*i + 168. Suppose 81*d - 41*d = 0. Let j be g(d). Calculate the greatest common factor of j and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, -117, -300, -481, -660?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 + o**5 + (1 - 1 - 2*o)*(0*o**4 + 0*o**4 - 2*o**4) - 10*o**5 + 16*o**5 + 14*o**5.\nAnswer: 25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-8)\/(-2) + -11). Let w = -1 - -1. Solve w = -t + n + 8, t - c = 3*n + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) -2\/3 (c) 6 (d) -1.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 8*c - 86. Let o be n(13). Put 3, o, 1, -5 in decreasing order.\nAnswer: 3, 1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 39*i = -30 - 33. Solve -2\/13*f**5 + 10\/13*f**4 - 10\/13*f + 2\/13 + 20\/13*f**2 - 20\/13*f**i = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10146 and 32737.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 137*t - 2531. Give f(-23).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94662635 and 246122851?\nAnswer: 1230614255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 34*y + 4. Let c(i) = i**3 - 9*i**2 + 6*i + 14. Let u be c(8). Give a(u).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 147 + 93 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -21*p**5\/20 + 19*p**2\/2 + 13*p - 24. Let k(d) be the first derivative of r(d). What is the derivative of k(c) wrt c?\nAnswer: -63*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/10 + (2124\/(-60) - -36). Let v(i) be the third derivative of 0 + 0*i + 0*i**4 + n*i**3 - 25*i**2 + 13\/60*i**5. Let r(l) = -2*l. Calculate v(r(s)).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11529927 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l**4 + 1363*l**3 - 17*l**2 + 9*l. Let a(f) = -2*f**4 - f**2 + f. Let s(g) = -6*a(g) + j(g). Find the third derivative of s(b) wrt b.\nAnswer: 24*b + 8178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 132 = 32*u. Solve -3*i + 4*n = -8 + u, 4*n = 4*i - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 13*b**2 - 39*b - 4. Let u be p(-17). Is -497 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0844 + 0.0844. Which is the nearest to -2? (a) -0.1 (b) y (c) -0.3 (d) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*n, 12*z - 7*z - 4 = 3*n. Factor 2\/3*w**z + 2\/3*w + 0.\nAnswer: 2*w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8896 and 939840.\nAnswer: 130637760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39918067 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 116, -1, -3300, -3 in increasing order.\nAnswer: -3300, -32, -3, -1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5693 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 3:36 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**4\/4 + 135*m**3\/4 - 1985*m**2\/4 - 4815*m\/4 + 1665 = 0. What is m?\nAnswer: -37, -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = s + 2, -3*s = 3*o + 2*s - 6. Let h be 7 + 2 - (1 - o). Suppose -2 = -4*i + h. Solve -3*k = 5*u - 22, 0 = i*u - 15 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q. Let v(t) = 2*t**2 + 7*t - 4. Let d(l) = 3*o(l) - v(l). What is the remainder when 146 is divided by d(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5 = 6*w - u, -3*u + 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 58*b**2 - 13*b + 3. Let i be p(-39). Suppose 6*n = 3*n + i. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {v: 1, e: 4, b: 2, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.8 and 0.010613989.\nAnswer: 1.810613989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 5. Let a(j) = 13*j**2 - 148*j + 25. Let w(l) = a(l) - 5*r(l). Let x be w(11). Solve x = y - 2*t + 2, 2*t - 32 = -5*y - 2*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**50*(o**(3\/5)*o*o)\/(o*o**(-4))*(((o**12*o)\/o)\/(o*((o\/(o**(-1\/16)\/o*o)*o)\/o)\/o))**11 assuming o is positive.\nAnswer: o**(62511\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 + 0*g**3 + 8*g**2 - g**3 + (-5 - 2*g + 5)*(-2 + 2 - g**2) in the form h*g**2 + y*g + v*g**3 + w and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 6*v - 4. Let x(h) = h**2 - h + 1. Let p(d) = 2*x(d) - z(d). Let u be p(-3). Solve 0 = 2*f - u*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7779849837 to the power of 1\/3, to the nearest integer?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1571551191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-477)\/2 + -4)*(-12)\/5. What is the common denominator of 53\/33 and 1 + 0 - k\/90?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2410558, -2410561, -2410564, -2410567?\nAnswer: -2410570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/179, 6, -1\/8 in decreasing order.\nAnswer: 6, 4\/179, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-390) - 23*(-66)\/(-11385)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, c: 2}. What is prob of sequence cic?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r - 3*r)*(-8 - 12 + 16) - 159*r + 482*r - 215*r.\nAnswer: 132*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-30) - 13)*(2 - (-1)\/1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 8:57 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 9. Let g = 12 - l. Put 1, g, -2 in increasing order.\nAnswer: -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(-20)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 21*x**2 - 80*x - 82. Let r(u) = -3*u**3 - 31*u**2 - 120*u - 124. Let i(l) = 5*r(l) - 8*w(l). Let i(a) = 0. What is a?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f**1\/f))))**(9\/2))**(-2\/55) assuming f is positive.\nAnswer: f**(-9\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-12 - -6) + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12840499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 7)*(-1 - 2 + 2)*(-2*o + o**3 + 2*o) + (-4*o**2 + 4*o**2 - o**2)*(-2*o + 5 - 5).\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 42, -4, 30, -53, 1 in descending order.\nAnswer: 42, 30, 1, -4, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 5. Suppose -q + 4*p - 5*p + 7 = 0, -5*p + 7 = -2*q. Let c be (-444)\/(-8) - 2\/q. Let h be 4\/(-66)*-3 + (-230)\/c. Calculate m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12390095 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -922278*s**5 - 95*s**3 - 128615596*s wrt s.\nAnswer: -18445560*s**3 - 570*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 6. Let d be k(-3). Let s(p) = -5*p**2 - 18*p - d*p**2 + p**3 + 19 + p**2. Let x be s(17). Solve x = q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1691025 decades?\nAnswer: 20.2923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*y - 13, 6*y - y - 1 = 2*v. Factor -2\/3*s + 1\/3*s**v + 1\/3.\nAnswer: (s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*n - 298*n + 514*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 146*n + 2968. Let w(t) = -t. Give w(v(f)).\nAnswer: -146*f - 2968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27858434.\nAnswer: 2, 41, 181, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506196 divided by -126549.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 2*d + d. Let p(c) = 24*c - 14. Let q(o) = -5*o + 3. Let b(f) = 3*p(f) + 14*q(f). What is x(b(u))?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06154 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 6*c - 55 - 63 + 2 - 81 to h*c + o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.9. Let x = 6 - 8. Let q = x + 2. What is the closest to q in k, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 9*f - 138. Let z = f + -31. Let n = z - 6. Solve -2*h - 4*d - 11 = 7, -n = 2*h + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 7430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 367*m**3*n**2*r + 33*m**3*r**2 - 19*m*n**2*r**2 + 111*n*r**2 + 9*r**2 wrt n?\nAnswer: 734*m**3*r - 38*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23 and ((-18)\/(-15))\/((-12)\/(-21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 766 in -111, 8, -1, 4\/9, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -10. Calculate the least common multiple of o and 23.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-1 - -2) + -1. Suppose 4*a - 2*k = 46, -2*k = -0*k - l. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33158 (base 10) to base 9.\nAnswer: -50432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395058917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*r = -7, 3*y = 4*r - 8 - 8. What is the third smallest value in -0.6, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/6 - c**3\/6 + 2*c**2. What is the units digit of x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from sswwsww?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.105 + 0.005. Put f, 2\/7, -7 in descending order.\nAnswer: 2\/7, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 550011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1920 by 5.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1231\/5 - -248. Suppose 5*z + 45 = 55. Solve 12\/5*c**3 + 2\/5*c + c**4 + 0 + t*c**z = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.27 - -85.73. Is v at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*t + 168*t = 3*s + 35, 2*t = -3*s + 5 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*g - 422*g - 83394 = -795*g for g.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30653?\nAnswer: 7, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*o - 28, o = -0*o + n - 2. Find the third derivative of 76*s**2 + 34*s**2 + 10*s**3 + 55*s**3 + 34*s**o wrt s.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d + 40*d + 44421. Which is bigger: d or -2612?\nAnswer: -2612","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 84 (b) -6 (c) -5 (d) -1247 (e) 3\/7 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 210b3 + 5?\nAnswer: 210b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.1 or -5\/3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-16) - 10)\/((-10)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80618251199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 416100 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 - 1 - (1 - 35991\/7371) and -125\/312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117253230 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 373007 - -1.3.\nAnswer: 373008.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x + 33*x + 3*d = -21, -2*x = 2*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(12)\/sqrt(4)) - sqrt(13) - (0 + sqrt(13) + sqrt(13))*-2)**2 + -5 + (-2*((sqrt(1872) - (-1 + sqrt(1872)))*-4 - sqrt(1872)))**2.\nAnswer: 384*sqrt(13) + 7755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246026575 to the power of 1\/2, to the nearest integer?\nAnswer: 15685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91575 and 10125?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*1.3.\nAnswer: 59.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 4*g)*(-356 - 300 + 322).\nAnswer: -334*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*r - 50*r - 7*r**2 as z*r**2 + o*r + d and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52459.2 and -0.1.\nAnswer: -5245.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -1\/7, -2\/3, 2\/3, 21754\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -0.37, 1, -2\/15, -3562?\nAnswer: -3562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 2 r when four letters picked without replacement from {r: 3, i: 10, l: 1, h: 3, d: 2}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -95*g**2 + 3*g - 24. Suppose 3*l - 26 = 5*v, -7*v - 2*l = -2*v + 41. Let j be w(v). Round j to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1592043 + 0.01.\nAnswer: 0.1692043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2\/495 in decreasing order.\nAnswer: 1, 0, -2\/495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:37 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z**2 - 5 + 2*z**2 + 5 + 32*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 35*m**2 - m - 2. Give v(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 57 = 5*o, -14*o - 90 = -4*t - 16*o. Suppose -3*k - 2*u + 13 = 0, -23*u + t*u - 36 = -4*k. Let v(g) = g - 6. Determine v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 66a + 1?\nAnswer: 66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 9*k**2 - 9. Let l be p(8). Suppose -l = -5*i - 0*i. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*d - 19*d - 2*d + (0*d + 0*d - 4*d)*(-1 + 3 - 1) to v*d + u and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -26*d - 1. Let j(i) = 100*i - 86. Let y(n) = -j(n) - 4*q(n). What is y(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(300)*-2)**2 - sqrt(300) - sqrt(300)).\nAnswer: -20*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/15 + 8\/15. Let f be 10\/6 + (-5)\/(-15). Find l such that -d*l**3 - 3\/5*l + 6\/5*l**f + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, v: 4}. What is prob of sequence vvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*q = 69, 0 = -3*h + 2*h + 2*q + 69. Let k = h - 38. Suppose 0 = -4*m - 0*m + 5*w - 33, 3*m + k = 5*w. Sort m, 3, -7 in ascending order.\nAnswer: -7, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (36\/(-15))\/(-4)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220833034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - o + 6. Let w(f) be the first derivative of -7*f**3\/3 - f**2\/2 + 11*f + 150. What is 6*w(k) - 11*y(k)?\nAnswer: 2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose 3*i + 12 = 0, -5*r = -r - d*i - 8. Sort r, 3, -5 in ascending order.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*c**2 + 256*c**2 - 12 + 0 + 3*c + 10 + 3*c wrt c?\nAnswer: 664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -0.36 (c) -25 (d) -1.52 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043985 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3 + 2 + 11*o + 13. Suppose -r = -l - 10, l = -4*r + 4*l + 35. What is the tens digit of j(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -230 + 230.6. Sort -1, h, -0.2 in increasing order.\nAnswer: -1, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(24) - sqrt(24))\/sqrt(8).\nAnswer: -4*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.73593 rounded to 2 decimal places?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 336447515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*q + 533, 3*q + 1235 - 448 = f. Which is smaller: q or 21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8247 to two dps.\nAnswer: 3.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -832 + 832.1. Which is smaller: -1\/4974 or l?\nAnswer: -1\/4974","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -951*m**3*q + 1859*m**3 - 14*m**2*q + 50*m*q + 65*m + 3*q - 40 with respect to q.\nAnswer: -951*m**3 - 14*m**2 + 50*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13*c = 12*c - 82, 4*x - 5*c = 74. Suppose -x*b + 73 - 9 = 0. Let f(g) = -g**2 + 4*g + 5. Give f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1035\/115*17\/3. Solve -g*j = -14*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*(-5 - 10) + -3 + 1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10210 (base 3) to base 4\nAnswer: -1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, 5606, 0?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 62. Calculate the remainder when 21 is divided by (-26)\/(-6) - s\/42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 247 + (12027 - 12156).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 185238, 185239, 185242, 185247, 185254?\n\"Answer: q**2 - 2*q + 185239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -199. Are j and -73 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - 5*m - 8*m to k*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120100222 (base 3) to base 14.\nAnswer: b383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11062.15893 to the nearest 10.\nAnswer: -11060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 357502\nAnswer: 29\/178751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.006 + -0.006. Let m = 7.004 - 5.004. Which is the closest to 0? (a) d (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1949564771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 11 + -12 - (0 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 - 23 = 0. Let s be (0 - 2) + q\/4. Let a = -36644\/105 - -7333\/21. What is the third smallest value in s, 5, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 4)*6\/(-10). Let f be 0 - (9 - (-9)\/r). Let g be 4\/f - (-18)\/12. Which is the smallest value? (a) -1 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(sqrt(245)*-3 + sqrt(245)) - (-1 + (sqrt(5) - (sqrt(5) + sqrt(5)*3))*4)**2).\nAnswer: 320*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21*(((-192)\/(-10))\/16)\/(4\/(-300)*63)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391086965.\nAnswer: 5, 78217393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2896973 at most as big as -2896972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0102986 rounded to 5 decimal places?\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/33*((-20)\/150)\/(168\/(-105))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 + 2*f**2 - 10. Let v(u) be the second derivative of -u**5\/20 + u**4\/12 - 3*u**2\/2 - 340*u - 2. Calculate -3*i(m) + 10*v(m).\nAnswer: 2*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d - 5*d - 8*d. Suppose -48*q - 12 = -44*q. Let t(x) = 5*x. Let i(v) = -6*v. Let p(g) = q*i(g) - 4*t(g). Calculate j(p(y)).\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*n - 63, 0 = 2*d + 160*n - 158*n - 34. Let m(i) = 5*i**3 + 12*i**2 + 4. Let q(r) = 14*r**3 + 37*r**2 + 11. Give d*m(k) - 4*q(k).\nAnswer: -k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 59. What is the third derivative of b**2 - j*b**4 - 13*b**2 + b**2 wrt b?\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18114.4 * 515\nAnswer: 9328916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2629049 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -144000, -144094, -144188, -144282, -144376?\n\"Answer: -94*h - 143906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 1. Let b = 1 + 0. Let m be z(b). Sort -4, -3, m.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-86)\/60 - ((-108)\/30 + 1)) + (-5 - -5)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - 3*u**3 + 3*u**3)*(0 - 2 + 3)*(0 + 2*u + 0).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -512\/13 + 64\/13*z - 2\/13*z**2.\nAnswer: -2*(z - 16)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-111))\/(1*12\/(24\/6)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*(sqrt(396) - -1*(sqrt(396) + 1 + sqrt(396))) - ((-3 + sqrt(396))*-5 - sqrt(396) - sqrt(396))*-2))**2.\nAnswer: -3552*sqrt(11) + 26713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -189226 divided by 1\nAnswer: -189226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 111 = 19*p, 0 = 4*p - 2*k + 4*k + 30 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:42 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 719845702 to the power of 1\/3, to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-6))\/(1\/3). Suppose 313 = t*r - 3*v + 43, 54 = r + 3*v. What is the greatest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 144 = 15*c. Solve -9 + 29 = -c*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6345, 13075, 19805?\nAnswer: 26535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20100 - -2202211002?\nAnswer: 2202120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.915 or 9832?\nAnswer: 9832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + 4050. What are the prime factors of f?\nAnswer: 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*u - 109, 0*u - 77 = -4*q + u. Let a = 14 - -7. Let f = 15 + a. What is the remainder when f is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869251.\nAnswer: 1869251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {q: 3, m: 1, o: 2, j: 1, x: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.07297159 + 4.37300739. Let v = f - -42.7. Round v to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11539989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -92*o**2 - 409*o + 209*o - 25*o**2 + 18*o**2 + 198*o. Let m(t) = -2*t + 4. What is u(m(h))?\nAnswer: -396*h**2 + 1588*h - 1592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 587 + -465 + (-70 - -7).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 17072*z - 34148.\nAnswer: (z - 2)*(z + 17074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 42. Let c(b) = 50*b**3 - b**2 + 1. Let u be c(1). Calculate the greatest common divisor of u and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a**3 - 1\/15*a**6 + 0 - 11*a**2 - 1\/6*a**5 + 0*a - 1\/12*a**4. Factor w(h).\nAnswer: -2*h*(h + 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3314*u - 2020*u - 3576*u - 222034 + 222034 in the form c*u + j and give c.\nAnswer: -8910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 - 21*r**2 - 46)*(0*r**2 + 8*r**2 + 33*r**2) in the form n*r + b*r**2 + q*r**4 + t + v*r**3 and give q.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 153541 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 3*l = -3*k + 18, k = -3*l + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 7*o + 10. Let j be m(8). Let r = -9 + j. Let p = r + 10. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - (2 - (7 - 4) - (13 + -25)) - -9?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*u = 153*u - l - 14, -2*u + 3*l + 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201 + -182. Let t(x) = 3 + u + 73 - x + 2*x - 9. Let j(b) = -2*b. Give t(j(a)).\nAnswer: -2*a + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*a - 522 - 542, -3*a + 1604 = -g. What is the remainder when a is divided by 163?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 621974813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + w = 6, 0*w + w = -2*y + 2. Suppose y = -b - 12. Let h be ((-1)\/b)\/(13\/(-52)). What is the closest to 2\/3 in 4\/3, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4 (c) -21 (d) -2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1328*b + 1333*b - 4*g + 20, 0 = 3*b - 5*g + 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Suppose -3 = -d*z + 3. Differentiate z*g**2 - 15 - 6*g**2 + 12 with respect to g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3261*t - 3713. Is 16 a factor of d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 7*f + 8. Let q be g(6). Suppose -4*b - a + 64 = -b, 2*a - 2 = 0. Suppose 0 = 11*h - b*h + 280. Solve h = q*o + 4*n, 5*n = 4*o - 6 + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Find the common denominator of 1 + -1 - 20\/(-14) and (s\/(-9))\/(4\/(-195)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and -3*(-3 - (-4 + 4)\/(-4)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108.20000121 + 108.2. What is l rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -5 (c) 1 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i = 20. Let o = -385 - -387. Which is the nearest to 1? (a) 5 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*m + 4019 - 11999, 5*m + 2*h - 7938 = 0. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 23 = 2*z + 2, 0 = 2*z + 3*m - 19. Suppose -2*u - 8 = 0, 3*l - 243 = 11*u - z*u. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/2, -3\/7, 0.4 in decreasing order.\nAnswer: 2, 0.4, -3\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4501 - 2641. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 105 = 27*f. Suppose 4*m + 20 = 0, -f*g - 5*m - 64 = -24. Let z(k) = -k**3 - 2*k**2 + k - 6. Determine z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/120 + a**4\/3 - 53*a**3\/3 + 9*a + 1. Let z(r) be the second derivative of x(r). Let y(k) = -3*k. Determine z(y(v)).\nAnswer: -3*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 6:13 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/22? (a) 10\/21 (b) 3 (c) -0.2 (d) -3 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21001 (base 3) to base 8\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.004729131 * -0.07\nAnswer: 0.00033103917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 468 = -14*u, 2*a - 6 = -a. Solve u*n - 28*n + 36 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) 2 (c) 5 (d) -4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 7*a**2 + 1 + 7*a - 3*a. Calculate y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 87 and 96 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 4 (c) -5 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10545, 21078, 31615, 42156, 52701, 63250?\n\"Answer: 2*p**2 + 10527*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (3 - 2) - -22. Let p = -3 - c. Let u = p - -57. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(245) + -2.\nAnswer: -6 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 - 159. Suppose 2*j + 5*s + 2 = 0, 4*j - 2*s = j + v. Which is the nearest to -1\/3? (a) 3 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 716 - -93. What is the remainder when g is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + o - 117, 5*o + 175 = -0*q + 5*q. Suppose a - 3*k - k - 14 = 0, 5*a + 4*k - 46 = 0. Calculate the remainder when q is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/189 and -113\/42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39715 is divided by 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 59*v - 3263. Calculate b(-35).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - p**2)*(-1 + 2 - 6*p - 2*p).\nAnswer: 8*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*sqrt(220) - sqrt(220)))\/(1*(sqrt(30)\/(sqrt(6) + sqrt(54)) - sqrt(5))).\nAnswer: 56*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 7*i + 4. Let m be v(4). Let z(y) = 4*y**2 + 2*y + 3. Let f(x) = -11*x**2 - 7*x - 11. Let s(u) = m*z(u) + 3*f(u). Calculate s(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**3 + 236*x + 89.\nAnswer: 6*x**2 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 32)\/4 - 4. Suppose c*n + 0 = -6. Let b(s) = -2*s - 2. Determine b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -47, -123, -243, -413, -639, -927, -1283?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - a**3 - 5*a**3 + (-3*a + 3*a + 2*a**2)*(427*a - 144*a + 359*a + 78*a).\nAnswer: 1436*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172396.4 - 172389. Let r = -417\/5 - -83. Put r, -3\/4, 0.3, h in decreasing order.\nAnswer: h, 0.3, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*x = 13251, -27*x + 9 = -24*x. Let q be 3\/8 - j\/(-160). Solve -u + 1 = -r, 4*u + 8*r + q = 4*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Suppose -4*x + 16 = 0, h*a - 190 = 5*x + 155. Calculate the remainder when a is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2736)\/(-1520) - ((-4)\/10)\/2. Let c(r) = 8*r**u + r**3 + r - 3*r + 14*r - 10 - 4*r**2 + 5*r**2. Give c(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 481854 and 1847107?\nAnswer: 11082642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4315*s**3 + 85*s**2 + 16.\nAnswer: -25890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrryrysyba. What is prob of sequence ay?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 140 = -2*h. Let z = h + -103. Let g be z\/(-22) - 14\/12. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-6 - -4) - -14. Let h(n) = -n**3 + 7*n**2 + 10*n - 4. Let j be h(8). Let p = j - 1. Is p equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 6 - (1 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -136, -137, -138, -139?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j - 4*z = -16, -4*j + 2*z + 58 = 0. Suppose -134*k = -138*k + j. Let t(c) be the third derivative of -c**5\/60 + c**4\/6 + c**2. Calculate t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302033 (base 4) in base 11?\nAnswer: -2463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208020*l**3 - 2510*l + 5?\nAnswer: 1248120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111100?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27577865 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.0589 decades in years?\nAnswer: 3590.589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h**5 + 48*h**4 - 1965*h**3 - 1380*h**2 + 29136*h + 9792 = 0.\nAnswer: -17, -4, -1\/3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8128384 microseconds to days.\nAnswer: 0.000000000032556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.918 + -0.192. Let p = d + 2.2. Let g be 54\/63*((-4255)\/(-12432) - (-2)\/21). What is the nearest to 0 in g, -3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - 5*y - 4. Let v be 17\/4 + 5\/(-20). Suppose -2*g - 30 = 3*g + v*a, g = a - 6. Is 10 a factor of i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -6. Let a be m - ((-18)\/3 + -3). Calculate the common denominator of 65\/18 and (-332)\/264 + (-2)\/a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 5. Determine m(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 88718981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-35) + 51\/(-42). Is c != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.84 + -0.16. Let c = -2\/57 + -53\/114. What is the smallest value in p, 3\/7, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3 - k + 6 + 1. Let c(a) = 70*a - 146. Let i be c(2). Calculate f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**4*t + 3*i**3 + 73*i*t - 667*t - 12 wrt i?\nAnswer: 4*i**3*t + 9*i**2 + 73*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.91218m in millimeters?\nAnswer: 98912.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1770)\/4*(-72)\/108.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.066, 1.01, -2\/19?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-248)\/(-18) - 20\/(-90). What is the second derivative of -13*u - u**5 + 0*u**5 + m*u - 6*u**5 wrt u?\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (-46 - 48) + 22\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*d**4 + 18372935*d**3 - 55118727*d**2 + 55118701*d - 18372896.\nAnswer: -(d - 1)**3*(13*d - 18372896)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + c = -7, -3*r - 3*c - 1 = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c - 4. Let w be f(-4). Suppose -2*k + w = -0*k. Let g = -41\/2 + k. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 14*m + 4*s = 6*m + 52, -3*m - 707*s + 692*s + 15 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.44 - 32.84. Let o = g + 30.399708. Round o to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -53*o**2 + 16*o - 11. Let z(q) = 27*q**2 - 8*q + 6. Let j(k) = 6*y(k) + 11*z(k). What is the second derivative of j(x) wrt x?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, 4, -36 in increasing order.\nAnswer: -36, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, v: 4, w: 1}. Give prob of sequence wvv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 594?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 444024?\nAnswer: -444032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*a + 118, -4*d = 121*a - 125*a - 212. Solve 75*v - 68*v = d for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 14. Let o(n) = n - 9. Let l(v) = -8*o(v) + 5*t(v). Let j(d) = -10*d + 7. Determine 4*j(y) - 14*l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {h: 5, w: 3, c: 1, o: 3, r: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -43, 19\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 27 = -5*c, -4*c + 9 = o - 10. Suppose -4*n - 14 = -d - 0*d, -n - c = -d. Suppose -u - 4*q - 7 = 0, d*u = -5*q - 0 + 1. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w\/w**(-4\/11))))\/(w\/(w**31*w*w)*w))\/((w**(-2\/73)\/w)\/w**(-25)) assuming w is positive.\nAnswer: w**(7541\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 536 = -5*c, 0 = 3*b + 4*c + 127 + 414. Calculate the remainder when 69 is divided by (-4)\/(-22) + (-2210)\/b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 2*x**2 + 20*x\/7 - 32\/7.\nAnswer: -2*(x - 8)*(x - 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 o when three letters picked without replacement from fokokkqokcokkocqko?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 + 4*n + 3. Let c be v(4). Let y be (-1965)\/(-4) + 979\/356. Suppose -w = -1 - 4, -c*r = w - y. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -4) + (2\/12)\/((-690)\/240120).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*w + 4 = 0, b = 3*w - 22 + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (13 - 37 - -17) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1680351532 to the nearest integer?\nAnswer: 40992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23073041?\nAnswer: 3067, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064605 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16002\/168 - 52 - 31?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.63*124.3.\nAnswer: -8903.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 1. Let b be f(-5). Suppose -b*v = -3 - 37. Let c(o) = -11*o - 6. What is the remainder when c(-4) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 14*o**3 + 4.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8082823g in milligrams?\nAnswer: 808.2823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*u**2 - 49 + 104 - 52.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/5 - (-6)\/(-10). List the prime factors of -2 - -69 - p*2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.22 + 11. Let a = n - 0.78. Let t = -0.7 - 0.3. What is the closest to t in -2\/13, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3828 and 1218?\nAnswer: 26796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.0361 (b) 8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 3, s: 3}. Give prob of picking 2 s and 1 y.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = x - 129, -604*k + 605*k - 3*x - 16 = 0. Which is the fourth smallest value? (a) 2\/5 (b) k (c) 1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/8 + c**3\/18 + 2*c**2\/3 + 2*c\/3 - 580. What is a in x(a) = 0?\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 846 divide 81215722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.1102 + 0.05?\nAnswer: -266.0602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 + 3*t**2 - t**4 + 2*t**2 - 235 + 543 - 130 + t to h*t**4 + o*t + r*t**2 + j*t**3 + f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -3. Let z = 8 - g. Let p be 1 - (-13)\/10*z. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**1)**(-24))**(-2\/47))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -56. Let v = 33 + q. Suppose -5*r - v*x + 75 = 0, -4*r + r + 45 = 5*x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/7 - 84106*w**3\/7 - 2856996*w**2\/7 + 1776760*w - 12773776\/7 = 0.\nAnswer: -42019, -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/6 (b) 0.2 (c) 82.5552\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-2)\/(-1))*(-3082)\/(-69) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 560 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, -110 in increasing order.\nAnswer: -110, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**4 + 8*q**3 - 6*q**2 + 4*q - 5. Let r(n) = -5*n**4 - 14*n**3 + 10*n**2 - 7*n + 9. Let a(x) = -7*m(x) - 4*r(x). Find v, given that a(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12418006.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4 = -c, 0 = 606*q - 604*q - 12*c + 58 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98663.2 plus 0.95?\nAnswer: 98664.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32203912907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 + 5. Let f = 8.731 - 9. Let g = -0.369 - f. Which is the second smallest value? (a) 2\/9 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244059339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/240)\/((-10)\/(-360)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35133625627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5, -458 - 179 = -4*o + 5*b. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - b = 11, -2*b = -7 - 3. What is the remainder when v is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145216 >= -145220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**2 + 7*q + 4. Let p be x(-4). Suppose 0*s - 3*s = p. What is the remainder when (s\/90)\/((-1)\/50) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 3*g + 3*g - 3*g + (g**4 + g**4 + 0*g**4)*(-5 - 14 + 9).\nAnswer: -21*g**4 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 5:47 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.8 - -31.1. Let r = -1517\/4 + 378. What is the nearest to 1\/6 in r, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {m: 2, w: 6, y: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113401 (base 7) to base 12.\nAnswer: -67aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 17*m**3 - 11*m**2 + 5*m - 11. Let r(u) = -9*u**3 + 6*u**2 - 3*u + 6. Suppose -16*j - 24*j = 440. Give j*r(p) - 6*g(p).\nAnswer: -3*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489 - 489 + 9*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -260.2004 * -0.5\nAnswer: 130.1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 6*g - g, -2*j = -5*g - 30. Suppose -3636*p + 3627*p = -90. Suppose -p + j = -5*q, o - 4*q = 0. Solve -4*a - 4 = -x, 3*a + o*x = -0*a + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (-1*sqrt(88))\/sqrt(11)) + sqrt(8))\/(sqrt(768)\/sqrt(12)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81074309?\nAnswer: 17, 109, 43753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -952 - -964. Solve -4*k - 2*m = -v, 4*m = -3*k - 2*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and -7?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/2379 and 49\/39.\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*l + 50*l - 362 + 134 = 0. Put 0, -45, -1, -5, l in increasing order.\nAnswer: -45, -5, l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*x = 367*x - 5*c + 28, -5*x + 5*c - 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/19 - 80\/133. Which is the closest to -1? (a) n (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 2*j**2 - 3*j - 4. Calculate r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c**4 + 1\/504*c**8 - 1\/315*c**7 - 1\/30*c**5 + 0*c**3 - 10*c**2 - 1\/36*c**6 + 0 + 0*c. Factor u(m).\nAnswer: 2*m**2*(m - 3)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*t + 33*g**2*v - 40*g - 2*t*v**2 - 2*v**3 with respect to v.\nAnswer: 33*g**2 - 4*t*v - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 230215635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*f + 15, 15 = -2*f - f + 4*i. Is 216\/1 + (f - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1331 - 613 + 7770*m**2 - 7768*m**2 to n*m**2 + x + v*m and give x.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*p + 420 - 30. Let n = -6 - -10. Suppose n*m - 6*m + 10 = 0. Calculate the highest common divisor of m and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.228 - 4.228. Let z = 3 - 2. What is the closest to -1 in o, 1\/9, z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)\/n)**7*(n**(3\/7))**(9\/7) assuming n is positive.\nAnswer: n**(-3060\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, f: 4, n: 2}. Give prob of picking 3 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2318921 + 3c?\nAnswer: 2318960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**2 - 15*g - 326. What is o(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29576114*j**4 + 3*j**2 + 219088348*j wrt j.\nAnswer: 354913368*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*o + 492, -4*t - 2*o + 3*o = -472. Is t a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/(-55))\/(337\/(-305) + 1) and -75\/208?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3453 - 1059. Suppose g = 5*z - 4*z. Let m = 16721\/7 - z. Find the common denominator of m and -61\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1555410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36136 (base 10) to base 15.\nAnswer: -aa91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.3313497 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-3 - 0))\/(-1). Solve -5*d - 3*b + 2*b = q, -b = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/16*464\/7482)\/2?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 8*h**2 - 25*h + 83. Let g be x(6). Suppose -4*i + 8 = -8*i. Put g, 0, 2, i in ascending order.\nAnswer: i, 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34742\/9 - 3855. What is the common denominator of -1 + 1 + (-292)\/192 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**3 - 273*q**2 + 40*q - 178. Let s be y(34). Solve -34 + s = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21889 + -197003\/9. Let z = -1.6 - -0.3. Suppose -b = 3*h - 2*b + 4, -5*b = 10. What is the closest to -0.1 in z, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -s - 30, 0 = t - 2820*s + 2824*s - 27 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khdh when four letters picked without replacement from dkhhh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 2, c: 1, e: 1, r: 1, w: 1}. Give prob of picking 2 a, 1 r, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -5*u**4\/24 - 14*u**3\/3 + 189*u**2 - 2*u - 2. Calculate b(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -3*g**5\/10 + g**3 + 4*g - 16. Let s(c) be the first derivative of t(c). Find the second derivative of s(y) wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1625978 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/11 - 26588*s\/11 + 22001715\/11 = 0?\nAnswer: 855, 25733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + 6\/10. Let l = a - -3. Find the third derivative of 4*q**2 + 10*q**2 + q**l - 13*q**5 - q**4 wrt q.\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 146 = 65*d - 64*d, d - 3*i - 166 = 0. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*-42092*3\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z + 2*z)*(-362 + 233 - 485) + (1 - 1 - 1)*(-2 - z + 2) - 1 - 3*z + 1 - 2*z + 0*z + z.\nAnswer: -617*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*b + 11*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12849, -3, 2, 5, 0 in ascending order.\nAnswer: -3, 0, 2, 4, 5, 12849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-4)\/(-16)*0. Let p(h) = -h**2 + 2. Let o be p(u). Let j(y) = -2*y**3 - 3*y**2 - 2*y - 3. Give j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:35 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let d(r) be the third derivative of -61*r**4\/12 - r**2 - 3629*r + 2. Determine l(d(x)).\nAnswer: -29768*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 105\/(-9) + 0 + 2\/(-6). Let z = -9 - s. Solve -2\/11*b + 0 + 2\/11*b**z + 0*b**2 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-474)\/(-39) - 15\/((-195)\/52) - (-6)\/(-39).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 526.247422 to 0 decimal places.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -6*p + 17. Suppose -9 = 4*b - b, 0 = p*n - 3*b - 17. Suppose n = -2*y - u + 4, 4*y = 4*u + 16. Calculate the smallest common multiple of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(270)\/sqrt(3))\/((-1*sqrt(50))\/sqrt(10)))**2.\nAnswer: 18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -104. What is the smallest common multiple of 5 and s?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26958062 and 76?\nAnswer: 1024406356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 12963.\nAnswer: 38889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -96 - (-150 + 33 + -67)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 2021423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.3476, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374\/(-51)*(-9)\/(-22)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*w - 2*w = 57*w + 2465 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*j**2*z**2 - 572*j**2*z + 3*j*z**2 - 3*z**2 + 65*z + 8 wrt j?\nAnswer: 8*j*z**2 - 1144*j*z + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:52 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/13)\/o)\/o)\/o)**(-44) assuming o is positive.\nAnswer: o**(1804\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -2111?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-8)\/(-60)*-5). Suppose 3*w - 5*t - 114 = 0, -14 = f*t - 5. Solve 2*j - 8*r = -3*r - w, 4*r - 20 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(1\/4))\/k))\/k**(-1))\/(k*(k*k**1*k)\/k*k)**33*(k\/(k\/k**(-2\/7))*k*k**(1\/19))**17 assuming k is positive.\nAnswer: k**(-62357\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.353 rounded to one dp?\nAnswer: -28.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1806880 equal to -37944509\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5 + 4. Let c = 72 + b. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6451 + -6444. Let b(a) be the second derivative of -a**3\/6 + 11*a**2\/2 + a. Let t be b(8). Solve t*n + x = 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 1046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471362717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 - 11*v**3 + 5*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28\/27, -4, -5, 1\/25, -3\/8 in increasing order.\nAnswer: -5, -4, -28\/27, -3\/8, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6951761?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56883 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 141*p**3 + 90*p**3 + 1548*p + 1118*p**2 + 3*p**5 - 46*p**3 - 32*p**4 + 648 - 2*p**5 = 0.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21030 (base 4) to base 5.\nAnswer: -4323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4121 - -4124. Solve 7 = m*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:57 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 48 = -5*c, 4*l - 3*l + 42 = 5*c. Suppose -2*w + 49866 = 4*i, -c*i = -4*w - 9*i + 99739. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**2 - 11 + 40*z**3 + 34*z**3 - 73*z**3 - 27*z. Let m be v(-13). Solve -2*j + m = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 3*a**2\/2 + a + 15. Determine t(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, -42, 2\/57, -249 in decreasing order.\nAnswer: 5, 2\/57, -0.1, -42, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -27*d**3 + 9*d**2 - 5*d + 5. Suppose h = -2*v - 10, 3*v + 7*h + 15 = 2*h. Let o(t) = 40*t**3 - 13*t**2 + 7*t - 7. Determine v*o(f) - 7*p(f).\nAnswer: -11*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-24) + 52\/((-39)\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -131*b + 153*b + 129 - 8. Let w be h(-8). Sort w, -3, 0 in ascending order.\nAnswer: w, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/168)\/((-10)\/(-60)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92237 * 2.6.\nAnswer: -239816.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**3\/3 - s**2\/2 + 20*s. Calculate h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122023 (base 6) in base 5?\nAnswer: 321230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3700, 7442, 11274, 15244, 19400, 23790, 28462, 33464?\n\"Answer: 8*u**3 - 3*u**2 + 3695*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = 3*k - 6*k. Suppose 0 = -3*w + a + 19 - 8, -5*w - 15 = 5*a. Find the first derivative of 69 - 2*i - k + 3*i**w + 2*i wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1680 = 5*t, -376*t = 5*g - 381*t - 8340. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.1 - -11975?\nAnswer: 12105.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58779862902 - -16347.\nAnswer: -58779846555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-10)\/2)*-1*(3 - 4). Which is bigger: q or -3\/280?\nAnswer: -3\/280","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + p - 17 = 0, -5182*p + 5184*p - 4 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*x + 10, -x + 10 = -2*n - 0*x. Let o = 4 + n. Let s be o + 2 + (-1)\/1. Put s, -3, -4 in increasing order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 43 - 107 = 0. Let u = -45 - i. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*b**2 + 318*b + 24.\nAnswer: -3*(b - 4)*(27*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4.2 (b) 4 (c) 22\/7 (d) -0.03 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247.42 + 249. Let o = t + 6.42. Which is the closest to o? (a) -2 (b) 4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9354125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 3*g**2 + 5*g - 6. Give p(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 12) to base 8\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 8*j - 1. Suppose 2*c = 15 - 45. Let n be 15*(-1 - 81\/c - 4). Give a(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9141004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2400 and 3283600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 6*w + 2*w + (-2 + 6 - 3)*(-2*w + 2*w + w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -33800?\nAnswer: -337ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1319, -68, 0, -1\/3, -0.3?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -205 + 205. Put r, 2, -11, 5 in descending order.\nAnswer: 5, 2, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19663 is divided by 3928.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 6*v + 5. Let u(j) = -j + 1. Let n(f) = -9*f + 12. Let p(t) = -n(t) + 15*u(t). Let h be p(4). Let m = h - -17. What is y(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*s + m + 49, -s + 21 = -3*m. Let u = 11 + 5. What is the remainder when u is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -288*b - 18. Let d(c) = 4*c + 1. Give -18*d(y) - s(y).\nAnswer: 216*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**2 - 1016*i - 8494. Let k(n) = -3*n**2 - 290*n - 2427. Let r(x) = -18*k(x) + 5*t(x). What is j in r(j) = 0?\nAnswer: -19, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -20*x**2. Let m(l) = l**2 - 2*l + 2. Let j(u) = 3*u**2 - 7*u + 7. Let q = -9 - -11. Let a(r) = q*j(r) - 7*m(r). Determine a(i(c)).\nAnswer: -400*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkcebbbbcebvbeq. Give prob of picking 2 e and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 = -6. Let w be h\/(3 - 4 - 0). Suppose 0 = -d + w*q - 5, 5*q - 8 - 2 = 0. Solve -d = 2*k + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563057 (base 8) in base 5?\nAnswer: 222221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1659 divided by 21.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*j - 7*j - 30681, -4*b + 40891 = 3*j. Suppose 0 = 3*f, -13*f - b = -5*z - 9*f. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 238?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2 - 4 + 3 + 2 + r**3 - r + 1164*r**2 - 1165*r**2. Let j(a) = 14*a**3 - 28*a**2 - 28*a - 28. Determine -28*c(n) + j(n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y + y)*(-3*y**2 - 9*y**2 + 2*y**2) + 3*y**3 + y**2 + 11*y**2 + 3*y**2 to the form h*y**2 + b*y**3 + r + o*y and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31476, 55195, 78916, 102639, 126364, 150091, 173820?\nAnswer: 197551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {w: 1, a: 5, z: 1, k: 5, t: 2, h: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6717735 and 5265?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25104*x - 6 + 2*x**2 + 1 - 19 - 25107*x + x**3 to the form p*x**3 + y + f*x**2 + z*x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89030681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u + 1. Let s = -11 - -10. What is c(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:19 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (3 - -4)*-1*-3. Let t = z + 25. Suppose 3*o - 8*o = -t*x + 268, -4*o - 512 = -4*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + 0 - (4 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/19 in -1, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - 3 + 2 - 1. Let v(l) = -l - 5. Suppose -4*t - 38 = 6. Suppose -5*m = -q + 27, 25 = m - 6*m. What is q*v(u) + t*d(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 1 - 1)*(5*x - 3*x - 3*x) - 43*x - 2 + 2*x**2 + 42*x - 12*x**2.\nAnswer: -14*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -563621, -1127251, -1690881, -2254511?\nAnswer: -2818141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10039.5 - 10040. Which is the closest to 1\/5? (a) 61 (b) -1\/7 (c) x (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 3316904*l\/3 - 13267600\/3.\nAnswer: -(l + 4)*(l + 3316900)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -30. What is the second smallest value in -5\/3, x, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143\/392 - -1\/98. Suppose 2*h + 55 = 7*h. Let j be h\/22 - (-3)\/(-2). Do k and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 + 283\nAnswer: 290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.017667, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 6*r + 10. Let n be f(7). Suppose -5*x + 2 = 2*d, 5*d - n - 11 = -x. Calculate the greatest common factor of 24 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.93. Let r = -5.1 - b. Let m = r - -6.000045. Round m to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and -2169.\nAnswer: -2179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120.864 - -11.276. Let r = -132 + c. What is the nearest to 2\/7 in -2\/9, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 3*x - u, x = -4*u - 16. Let k be 2\/(-11) - (-6)\/33. Suppose -4*f - f = k. Is f at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-6)\/4)\/((-12)\/872). Let z = 112 - l. Suppose -3*p = -2*p - 11. Sort -1, -4, p, z in descending order.\nAnswer: p, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -20.4.\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 1.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23529, 47067, 70619, 94191, 117789, 141419, 165087?\nAnswer: 188799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-850)\/100 + 1 + (6\/63 - 207\/189)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 43 + 8 = 0. Suppose -4*n - 5*m + 50 = -12, 4*n - v*m - 42 = 0. Are n and 14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454510 divided by -10\nAnswer: 45451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34664656024.5 less than -29?\nAnswer: -34664656053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8232215 (base 9) to base 4.\nAnswer: 100300000133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*l**2 - 123*l**2 + 362*l**2 - 126*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {s: 6, g: 4, k: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 738003 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22776 + 22781 - 68288 + 22731 - 169*t**3.\nAnswer: -169*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (7 + -1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24890746 to the nearest integer?\nAnswer: 4989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 9317?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20804 + 62805 - 2*x**2 - 20991 - 21010.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, j: 2, f: 8, x: 1, l: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(500)\/sqrt(10) - sqrt(50)))\/(sqrt(640)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 2208.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/7 + 698329*s\/7 - 10475160\/7 = 0. Calculate s.\nAnswer: -698344, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*r = -20, -5*r - 16 = -2*w - 3. Sort -4, -1, 3, w in ascending order.\nAnswer: w, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 2778449840.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrr when three letters picked without replacement from zzzrrrrrrzrzrzrrrr.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 - 91 = 11*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*d + 0 - 4 = 0, d = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 15, -1, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -9, 0 = -y - 5*j + 2879 + 699. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*8\/32*(-1775)\/3195.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**3\/6 + 11*b**2\/2 + 8255*b. Let i(j) = -3*j - 33. Give 3*i(m) + 8*p(m).\nAnswer: -m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 5*w - 6. Let a = 162 - 167. Let j(x) = 3*x - 3. Determine a*j(t) + 3*d(t).\nAnswer: 3*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*l = 217*l + 16. Put -14, -5, -2, l in decreasing order.\nAnswer: -2, l, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -391*d + 627. Is c(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(120)\/sqrt(3) - (sqrt(10) - (sqrt(90)\/sqrt(3))\/sqrt(3)))*-6)\/(4*(sqrt(1620) - 2*sqrt(1620))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69056*q**2 - 39738*q**2 - 15305*q**2 - 973*q**2.\nAnswer: -125072*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 2, y: 1, q: 4}. Give prob of picking 2 q and 2 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 - 64. Let i(x) = 2*x**2. Give i(w(p)).\nAnswer: 32*p**4 - 1024*p**2 + 8192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257 - 511 + 326*g**3 + 254.\nAnswer: 326*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5))**(2\/61)*(x\/((x*x**(-4)*x)\/x))\/(x*x\/x**7) assuming x is positive.\nAnswer: x**(2741\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 - 51 = -4*u, -63 = -5*b + 2*u. Let n be 3\/(-2)*4\/(-3). Suppose -n*c + b = -7. Solve -f = -2*y + c, 4*f + 5*y + 4 = y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206 and 58607?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1523*l - 6. Let j(b) = -24365*b + 95. Calculate 6*j(k) + 95*t(k).\nAnswer: -1505*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 2*d + 3*d + 2)*(0*d - 3*d + d + (1 - 3 + 0)*(2 - 2 + d) + d - 117 + 58 + 47) to u + b*d**2 + s*d and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r + 4 = 66*r. Suppose -5*g = r*g - 7. Solve 20 = -3*a + 5*d - g, -d = -a - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 times 202206.9\nAnswer: 107169.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let s = -4 - -5. Let p = 0.6 - s. Which is the closest to t? (a) p (b) 0.4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 37. Suppose o = -5*f + 2*f + t + 112, 0 = 3*f - 2*t - 110. Find the second derivative of -54*y**3 - 12*y - 5*y + f*y**3 wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 31 + 51. Let q be (2 + 1)*2\/3. Solve -1 = d, -6*d + 2*d - i = q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 22*z**4\/9 - 17816*z**3\/9 + 1264448*z**2\/3 - 74443936*z\/9 - 13660768\/9 = 0.\nAnswer: -2\/11, 22, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-20) + 4\/10. Let p be 1*(-5 - -1)*o. Solve -10 = 2*s + p*y, -4*y - 3 = -5*s - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2. Let j(v) be the second derivative of -11*v**3\/3 - 30*v. What is j(p(l))?\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -14 + -2)*((-2)\/(-3) - 1). Suppose 0 = -4*t - 4, -2*w + 15 = -0*w - 5*t. Solve l*y = 25, -4*f - 2*y - 35 = -w*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 4 + h + 3 + 0. Let o be q(4). What is the units digit of (8\/3)\/(1\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 288, 965, 2276, 4431, 7640, 12113?\n\"Answer: 35*b**3 + 2*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/18 and 4 - (-5)\/(90\/87).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 18*m + 29. Let y be p(2). Put y, 3, -4, 269 in decreasing order.\nAnswer: 269, 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (179560\/187600)\/(4\/280).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 725579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 659607.8 centuries?\nAnswer: 65960780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -44. Let o be j\/(3\/27*-3). Suppose -5*i = -o - 21. Calculate the remainder when 46 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -1, 1.5422, -2\/9, -2, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -3*j + 13. Find the second derivative of j*d**2 + 70*d - 30*d - 5*d**2 wrt d.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = m + 2*m. Suppose -167*a + 327 = -2975 - 205. What is the remainder when m is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17741 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2644 and 25978622?\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 39. Solve w = 5*u - 3*b, 0*u + 5*u = b - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-30) + (-6)\/45. Suppose -3*k - 5*g + 9 + 10 = c, 0 = -2*k + 4*g + 20. Solve -2*d - v = -k, 5*d - 20 = -0*d - v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (286\/(-13) - -50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 4, r: 3, u: 3}. Give prob of picking 3 r and 1 u.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*f - 2224 = 1816, -2*j = -3*f - 2020. Let p(q) = 3*q - 6. Calculate the remainder when j\/40 + 2\/(-8) is divided by p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143517, 574038, 1291573, 2296122, 3587685?\nAnswer: 5166262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0 - 1\/90*r**5 - r + 2\/27*r**3 + 0*r**2 + 1\/54*r**4. Factor s(y).\nAnswer: -2*y*(y - 2)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 4:51 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 3.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1543 divided by -421.\nAnswer: 1543\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3273 or -1587?\nAnswer: -1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216) + (sqrt(19) - (sqrt(19) - (-5 + sqrt(19)*-2))))**2 - (sqrt(152)\/(1*sqrt(72) + sqrt(72) - sqrt(72)))**2 - (3 + -1*2*sqrt(931) + 3)**2.\nAnswer: -27559\/9 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5934)\/4945)\/(1\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1499*a - 13940 = -4287*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1195, -3 in increasing order.\nAnswer: -3, 4, 1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/(-1330)*301 - 48\/(-304)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 49208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -47*w - 5437. Determine b(-116).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41.98 in 2.3, -11\/2, -5?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.161 take away -0.16915269?\nAnswer: 0.33015269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-712.\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/12 - 628277\/9354\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -153.1 from -378.\nAnswer: -224.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 10*v**2 + 10*v - 10. Suppose -t + m = t + 20, -3*t - 27 = -3*m. Let r be p(t). What is the nearest to r in 2\/13, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 12*v - 180. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 11 + 37)*(4*q + q - 6*q) - q + 5*q - 2*q + (1 + 2 - 5)*(2 + 2*q - 2) + (-4 + 4 + 1)*(3*q - q + 7*q) to g*q + c and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17760 = -4983*i + 4971*i. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y**3 + 71*y**3 - 240*y**3 + 59*y**3 + 64*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 31. Let k = j + -40. Is (-1 + 34)\/k*-47 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n. Let u(p) = p - 6. Let j be u(6). Are n and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -1. Let r = -15 + 20. Suppose 3*n - 3 = -3*v, -5*n + r*v - 8 - 7 = 0. Sort k, 1, n.\nAnswer: n, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (121 + 2*k - 85 + 122)*(4*k + 4*k - 5*k) as f*k + m + z*k**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2954759?\nAnswer: 277, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 4, r: 3}. What is prob of sequence ra?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60494721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.6 + -23.6. Let t = j - 11. Is -0.21 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*l - 3*p + p, 4 = -l + 2*p. Let m be 3 + (-3 - 0) + l. Let s = m - -49. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654428.\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1100*k**2 + 1070*k**2 - 2128*k**2 - 57 - 42*k**4 - 7*k**5 wrt k?\nAnswer: -420*k**2 - 1008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13831583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9 - 43. What is f rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -736 + -31745\nAnswer: -32481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -101, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 4*g - 3. Let n be k(3). Suppose 5*p = -n*i - i + 480, -3*i = -3*p + 270. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 + 175. Which is the nearest to -5\/6? (a) d (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + ((-4)\/12)\/(2\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g. Let d(m) = 6*m**2 + 8*m. Let l(a) = d(a) - 4*x(a). Determine r so that l(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29604*i**3*v + 61*i**3 + i**2*v - 585*i + 7*v - 54 wrt i.\nAnswer: -177624*v + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.031 - 0.031. Let m = k - 13. Which is the smallest value? (a) 5 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 8. Let x = k - 2. What is the remainder when x*(-2)\/(-6)*32 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1480, 1920, 2646, 3652, 4932, 6480, 8290?\nAnswer: 10356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - t - 2318 = 0, 2*u - 13*t - 1160 = -12*t. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 40 = 7*k. Suppose -4*c - 12 = -5*c. What is the highest common divisor of c and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1. Let p(x) = -x**3 - 2*x**2 - 2*x + 2. Let o be p(-2). Suppose 0*s = 5*s. Let q = o - s. Let a(f) = 2*f - 6. Calculate q*v(i) + a(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q + 44 = 0. Let x = 5 - 3. Solve -h + 3*l - 12 = 0, -4*h + 0*l = x*l - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:47 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8108, 64795, 218690, 518399, 1012528, 1749683?\n\"Answer: 8101*f**3 - 2*f**2 - 14*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30158144 times -5?\nAnswer: 150790720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1447 - 885. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 g when four letters picked without replacement from {l: 5, g: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5065480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 29*s**2 + 925*s - 94. Give l(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.13 + 0.13. What is the closest to 1\/4 in -2\/3, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 140094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2368 + 183*w**2 - 44*w**2 - 48*w**2 - 2368 - 44*w**2 - 54*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5 - 2740*g**4 + 451090*g**3 - 20841200*g**2 + 313993665*g - 950688900 = 0. Calculate g.\nAnswer: 4, 23, 35, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 672*h**5 - 360*h**5 - 315*h**5 - 431*h + 895*h**5 + 1 + 533*h**5 wrt h?\nAnswer: 28500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 25 + 29. Solve -v = n - 2*s, -3*n = 2*n + 2*s + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 1\/2*j**3 + 0 + 3*j + 0*j**2 + 0*j**4 - 1\/540*j**6 + 1\/180*j**5. Let l(h) be the second derivative of v(h). Factor l(a).\nAnswer: -2*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j**2 - 25*j + 50. Let w(d) = d**2 + d - 2. Let s(p) = -2*v(p) - 50*w(p). Let n(r) = r**2. What is s(n(u))?\nAnswer: -30*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5 - 7245*l**4 - 7248*l**3 = 0.\nAnswer: -1, 0, 2416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1275850 and 21\/12069541?\nAnswer: 603477050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -99923 - 5822217?\nAnswer: -5922140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.238 - 0.5.\nAnswer: -4.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4309 and -0.087.\nAnswer: -374.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:46 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.956384 tonnes in milligrams?\nAnswer: 8956384000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 591517 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -559085 by -18035.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 4*h**2 + 14*h + 12. Let y be l(-5). Let n = y + -111. List the prime factors of n.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.3 (b) 4 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 2*b + 4. Let d(r) = r. Let c(v) = 5*d(v) + z(v). Let h be c(5). Let q(n) = -n**3 - 7*n**2 - 6*n + 4. Give q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 - -7)\/(2 - 12). Which is the nearest to t? (a) 0.5 (b) -2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 2. Let s = -6 + 6. Let n be i(s). Let l(o) = o**2 - o**2 - 3*o**2 + 4*o**n. Let x(b) = 2*b. Give l(x(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 5\/381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*m + 70*m + 76*m - 218*m + 181 to n + x*m and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 10 - n**5 - 5\/2*n**2 + 0*n**3 + 0*n**4 + 0*n. Find the second derivative of g(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 3 + 3 + 1. Let p(l) = l**3 - 2*l + 1. Let r be (24\/(-10))\/((-8)\/20). Suppose -r = 3*g + 4*z, -4*g + 2*g - 2*z = 2. Give g*p(q) - 4*b(q).\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*(-18)\/(-4)*(-16)\/(-60).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 372*v**2 + 52*v**3 - 372*v**2 + (2*v**2 - v + v)*(0 + 1 + 0)*(0*v - 3*v + v + (1 - 1 + v)*(1 - 4 + 6) + v + 2*v - 2*v).\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 4*h**5 + (-21*h - 2297 + 2297)*(2*h**4 + 0*h**4 + 4*h**4).\nAnswer: -130*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*t = 104*t - 236*t. Solve 12*n + 10 = -5*a + 9*n, -3*a - 2*n - 5 = t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -177524154 and 0.2?\nAnswer: 177524154.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 931 = 3*s + 934, -3*h + 11 = 4*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-14) + 14927\/1610. Let s = 352\/35 - d. Solve 0 - 2\/7*x**3 + s*x**2 - 4\/7*x = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2289 + -1626. List the prime factors of p.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. What is the tens digit of s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 490?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.538 + -21.496851. What is n rounded to 4 decimal places?\nAnswer: 0.0411","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 192 and -0.02692?\nAnswer: -5.16864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 4*t**2 - 5*t - 7. Let z be k(5). Let x = 12 + z. What is the greatest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -30*u**3 + 20*u**2 + 2*u - 4. Let b(v) = 20*v**3 - 13*v**2 - v + 3. Let n(q) = -8*b(q) - 5*p(q). What is the second derivative of n(w) wrt w?\nAnswer: -60*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.4 - 257?\nAnswer: -272.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 22*d - 60. What is o(21)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 2 = -8*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -228.6207*0.7\nAnswer: -160.03449","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -19 less than -3339.08?\nAnswer: -3320.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7493 + 21870. Is 133 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 59900339*p. Let s(m) = 2*m. What is a(s(y))?\nAnswer: 119800678*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*l + 52360, -33638 - 8276 = -4*l + 2*z. Suppose -3248 + l = 4*o. Suppose o = 4*i + 9*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605919 is divided by 201949?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 46)*21\/((-756)\/10929000). What is z rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -0.22 in descending order.\nAnswer: 6, -0.22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1415*c - 5629. Give y(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -14. Suppose -g = u*g. Suppose g*t + 2*t = 0, 3*n - 102 = 3*t. What is the lowest common multiple of 14 and n?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r = -103*r + 3024. Solve -5*f + r = -17*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169064 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/3 or -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 2, 7, 24, 59, 118, 207?\n\"Answer: o**3 - 3*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803069.793 rounded to the nearest 100?\nAnswer: -1803100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/22 - 2*t**3\/33 + 3. Factor g(o).\nAnswer: -2*o**2*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(160\/(-174)))\/((-252)\/(-105)) and 13\/1684.\nAnswer: 13472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66333377 < -66333351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 - 1485 = 225*w + 935 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238278 is divided by 165.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 713802, 1427617, 2141444, 2855289, 3569158, 4283057, 4996992?\n\"Answer: b**3 + 713808*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 1548*u - 3083. Give o(772).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29870*d**3 - 86404*d.\nAnswer: 179220*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.44 (b) -0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4*m + 5 + 2.\nAnswer: -4*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 12*q**2 + 13*q - 20. What is f(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*d = -958*d + 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose 3*a + a - 2*z = k, 0 = -4*a + 3*z + 2. Suppose 5*c = -v - 1, -c + a*c - v - 1 = 0. Solve c*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823998943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in 0.1, 0.5, -2\/19, 3.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*a + 2. Suppose 4*c - a*j = 10, 4*j = -4*c + 8*c - 8. Suppose -c*f = -f - 12. Solve -2*y = -f*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2588 + 2593. Suppose -m = -3*m + 22. Suppose a*h - m = -z, 5*z + 0*z + 4*h = 34. Calculate the smallest common multiple of z and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -55*b + 452. Let n be i(8). Let d be (2 + -20*3)*-2. Let r = d - 56. Calculate the greatest common divisor of r and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930942 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1683 - 9963. Let m = -745281\/64 - w. Find the common denominator of -123\/200 and m.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452601 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose f*m - 90 = -m. Calculate the smallest common multiple of 3 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from eaevveeaveeeeveeexxe?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12594934 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.09, 1143.9 in increasing order.\nAnswer: 0.09, 0.1, 1143.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 347146860691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 621034606?\nAnswer: -621034602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from ehehlhehlhyel.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*w + 51562 = -245*w. Let s = w - 11282. What is s rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6975 divided by 602?\nAnswer: 6975\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 2*s + 1. Let z be p(1). Suppose -3*j - j = z. Suppose j = 3*y - 7 - 44. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480, 941, 1402?\nAnswer: 1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25656817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1115356315 and 1.2.\nAnswer: 1115356316.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**3 - 11*c**2 - 11*c + 19. Let h(g) = 8*g**3 - 12*g**2 - 12*g + 18. Let n(s) = 6*h(s) - 7*l(s). Let z be n(5). Solve -2*y + z = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t. Let v(b) = t + 2 - 3*b**2 + 3*b**2 - 3*b**2. Let d(i) be the first derivative of -i**2\/2 - 442. Give v(d(s)).\nAnswer: -3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhhhhhppphphhhhhhhh. Give prob of sequence hhpp.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1152 and 2016.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98025886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18275*t + t**2 + 18275*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*h + 2*j, 0 = -3*h - 2*j + 21 + 5. Solve 2*t + h = 2*a, 3*t - 10 = -3*a + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29753?\nAnswer: 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 = -5*m + 4*g, -4*m + g = 5*g - 448. Suppose -4*d + 103 = -1. Calculate the highest common divisor of d and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 2. Let m be 5\/4 - ((-2)\/(-8) + -1). Suppose y = -m - 0. Let f(s) = 4*s + 9. Determine y*f(k) - 9*h(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-70)*7*(-2 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2240)*-1)\/(-2*sqrt(7)*5))**2 + 2 + (sqrt(605) + (sqrt(605) + -3)*-6)**2.\nAnswer: -1980*sqrt(5) + 77271\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 7*z. Let m(h) = 5*h**2. Determine m(c(t)).\nAnswer: 20*t**4 - 140*t**3 + 245*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56\/3 in -3\/5, -2, 10, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-18)\/(-2))*-15*-1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 444?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 223*i**2 + 551*i - 108. Is c(-114) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -3\/17*o**2 + 2\/51*o**3 + 0 + 5*o + 1\/102*o**4. Factor v(r).\nAnswer: 2*(r - 1)*(r + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59382 is divided by 675.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11831.9l in millilitres?\nAnswer: 11831900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -c - c - 4*t, -4*t = 5*c - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1122)\/63)\/11 - 1*(-7)\/21?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10240733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 17*u - 56. Let i be g(11). Let h(n) = -n**3 + 22*n**2 - 41*n + 4. What are the prime factors of h(i)?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14\/241 - 11414\/2651. Let r = v - -683\/154. Find the common denominator of -7\/6 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, s: 7}. What is prob of sequence sbz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*p + 6*p - 146*p + 33*p.\nAnswer: -189*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, c: 11}. Give prob of sequence cnc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 8 = 6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*o + 5*y - 111, 2*o - 2*y - 88 = 0. Suppose -o = -6*g - 23. Solve -2*p = -3*i - 5, g*i - 3*p = 2*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bboobb. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Let w = 2 - t. Suppose -10*b + 25*b = 75. Solve -4*g - 8 = 4*l, 30 = -w*g + 2*g + b*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + z + 1433 - 1453 = 0, 0 = 4*d + 2*z - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/20*(-188)\/3666*-1014?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**3 + 5*j**2 + 8*j - 2. Let v = -14956 - -14961. Let c(o) = 10*o**3 + 6*o**2 + 9*o - 2. Calculate v*c(p) - 6*m(p).\nAnswer: -4*p**3 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/18)\/(8\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027873053.\nAnswer: 3, 719, 158843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycyccccy. What is prob of sequence cy?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/401148 and -139\/534864.\nAnswer: 1604592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppnnpppppn. Give prob of sequence nn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5 + 1. Suppose -2*l - v*b = 19, 5*b - b + 31 = -3*l. Let z = -12 - l. Solve -5*n = -4*a + 18, -z*n - 8 + 0 = a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0 - 1\/24*l**4 - 10*l + 1\/6*l**3 - 15\/2*l**2. Let d(q) be the first derivative of o(q). Give d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45312 is divided by 45301?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313113?\nAnswer: 3, 29, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7990 divided by -5.\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5101*h**4 - 1876*h**3 + 94358406 wrt h.\nAnswer: -20404*h**3 - 5628*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40937 - -2?\nAnswer: -40935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -6, -4\/145, -4?\nAnswer: -4\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 235\/300 - 6\/8. Let d(q) be the third derivative of 2*q**2 + 0*q**3 + 0*q + 0 + 0*q**4 - w*q**5. Let c(j) = -2*j**2. Give d(c(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*n = -m + 86, 0 = -m + 5*n + 96. Let r = m - 95. What is the tens digit of (r + 3 + -217)\/(5 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13202210 (base 4) to base 11\nAnswer: 21227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67306, -134613, -201920?\nAnswer: -269227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - 2.29. Let o = -2 - -2.06. Sort n, o, 1\/6, 3\/2 in decreasing order.\nAnswer: 3\/2, 1\/6, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36738 = 5*o - 4*y, -4*y = -3*y - 3. Suppose 6*d = -0*d - o. Let i = -522 - d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m - 12. Let n be f(4). Suppose n = -4*d + 7 - 3. Let h(s) = 20*s**3 - 2*s + 1. What are the prime factors of h(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26592 and 3024.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z**2 - 6*z + 10. Determine g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 38 = -14. Let j(x) = -x**3 - 6*x**2 + x + 4. What is j(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Let r(n) be the second derivative of 0 + 0*n**4 + 1\/20*n**5 + 0*n**2 + n + 1\/6*n**d. What is the second derivative of r(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*(-3)\/90 - (-2)\/3\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -20000122?\nAnswer: 20000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -4*o**5 - 3*o**4\/4 - o**2\/2 + 6250*o + 3005. What is the first derivative of q(k) wrt k?\nAnswer: -80*k**3 - 9*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 0*x + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 + 29.3. Let z = -274815 - -274780.0089. Let j = z + o. Round j to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 - -227 - 47 - (-2 + 0 + 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1006, -4047, -9120, -16225, -25362, -36531, -49732?\n\"Answer: -1016*k**2 + 7*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1210012220110 (base 3) to base 6\nAnswer: -32201533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*m - 2044 + 11707 = -11537 for m.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-353)\/(-11) - 141\/1551. Solve 40*y - r*y = -24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {n: 12, d: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1327 - 699. What are the prime factors of f?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (-3 + sqrt(72) + sqrt(72) + 1)**2 + ((sqrt(90)\/(sqrt(9)*3))\/(-5*(sqrt(25)\/sqrt(5) - sqrt(5)) + sqrt(5)))**2.\nAnswer: -48*sqrt(2) + 2612\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1459.74 - 1560. What is c rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2199 is divided by 152.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/3))\/k**(-3\/7))\/((k\/((k\/k**(-4))\/k))\/(k*k**(-1)*k)) assuming k is positive.\nAnswer: k**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 116?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -247*h**7\/210 + 32*h**3\/3 + 158*h**2. What is the derivative of k(j) wrt j?\nAnswer: -988*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, -1, -3, -21 in descending order.\nAnswer: -1, -3, -5, -19, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 11 + 6 + -5 + -25\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 103. Suppose i*y + 24950 = 5*j, 7*y + 19960 = 4*j + 8*y. What is j rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 - 26*m**3 + 5*m**3 + 11*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8071\/44 - -59665\/308. Determine g so that 80\/7 + 156\/7*g - 4\/7*g**3 + w*g**2 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/17*f - 6\/17*f**2 - 2\/17*f**4 - 6\/17*f**3.\nAnswer: -2*f*(f + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6110719.\nAnswer: 6110719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12548414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 218 + -341. Let q = -119.5 - i. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267 (base 11) to base 2.\nAnswer: -100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 0.4, -11, 2.202 in descending order.\nAnswer: 75, 2.202, 0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.30313um to millimeters.\nAnswer: 0.04430313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by 2243.\nAnswer: -137\/2243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -12. Let c be (-3)\/i - 3\/(-12). Suppose -5*k = -c - 14. Calculate the remainder when 8 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 - ((-55800)\/46620 - 1\/(-7))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeaaaxaxxaexxa. What is prob of sequence aexx?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - z + z)*(2*z**3 + z**3 + 0*z**3).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 8*b + 1754. Suppose 0 = 4*t - 144 - 96. Calculate the lowest common multiple of d(46) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -361*h**2 + 210*h. Let p(b) = 362*b**2 - 214*b. Let k(m) = 6*p(m) + 5*s(m). Find the second derivative of k(x) wrt x.\nAnswer: 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 8, -2 in descending order.\nAnswer: 8, 5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*c**3 - 2*c**3 + c**2 - c**2 + (-3*c**3 + c**3 + c**3)*(-1 - 2 + 5) + 3*c**3 - 3*c**3 - 3*c**3 + 0*c**3 + 4*c**3 + 4*c**3 - 2*c.\nAnswer: -c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16576447*h**5 + h**3 + 20790*h - 453.\nAnswer: -331528940*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3\/3 + 2*k. Let l(s) be the first derivative of s**2\/2 - 3. Suppose -9 = 3*u + 9. Determine u*l(p) + 2*r(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:35 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25566*(0 - 2\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 11 - 40*p - 4 + (p - 4 + 4)*(-2 + 7 - 4) - 1 + 2*p + 1)*(-p - 2*p + 5*p).\nAnswer: -74*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -230, -1714, -5744, -13592, -26530?\n\"Answer: -212*m**3 - m**2 + 3*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:28 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*r**5*u**3 - 8*r**3*u**2 - 2*r**3 - 2*r**2*u**3 - 20*r**2 - 5344*r*u**3 wrt r?\nAnswer: -2700*r**2*u**3 - 48*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {s: 2, r: 2, f: 3, t: 1, w: 6, u: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 33\/2. Let y = 79 + -70.7. Let a = y + -8. Sort a, 1, j.\nAnswer: a, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 28*x + 117 = h, -h + 5*x + 102 = 0. Solve -h*d = -112*d - 75 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78059190 is divided by 7324?\nAnswer: 7322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1550 - -1563. Solve 17*p + 150 = -n*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -10*k + 968. Suppose 5*p = 20, -5*i - 5*p = -6*p - k. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2\/6 - 3 - -2). Let g(u) be the first derivative of 4\/3*u**h + 4\/5*u**5 + 22 + 64*u + 48*u**2 - 6*u**4. Let g(n) = 0. What is n?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 - 8*p**2 + 4*p - 114 wrt p.\nAnswer: -6*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69096 is divided by 899.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1693900 divided by 423475?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45442?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57967650383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0*p**4 + 5\/2*p**3 - 7\/60*p**5 + 23*p**2 + 0 + 0*p. Differentiate v(k) wrt k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-48)*4)\/((-21)\/(-7)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/19 (b) 2 (c) 7.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1199*t + 126*t**2 - 1202*t - 129*t**2.\nAnswer: -3*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 35*p - 36. List the prime factors of d(5).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 + 12*k. Let j(z) = -5*z**2 + 10*z. Let y(i) = -6*j(i) + 5*q(i). Let a(o) = -123*o + 2. Calculate a(y(b)).\nAnswer: -615*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugp. Give prob of sequence up.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 17*t - 1316 = -1362, 3*k - 262 = -5*t - 254 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111 (base 3) to base 7.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 7*a - 2. Let h be o(7). Let k = -67 - -15. Let n be (2 + 0)*39\/k. Is n not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1813 + 553 = 0. Calculate the remainder when f\/(-8)*(-4)\/3 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p - 11*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.036678 * -1451\nAnswer: -53.219778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5802 + -5672. What is the highest common factor of 12090 and j?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 - 14090*q**2 + 8790*q?\nAnswer: -12*q**2 - 28180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -125615 minus 10?\nAnswer: -125625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 606389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - r + 0*r - 97 = 0, 0 = 4*a + 5*r - 95. Let l(g) = 3*g - 50. What is the least common multiple of 2 and l(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 9 = -18*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556727299?\nAnswer: 1556727299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y - 40. Let n(o) be the first derivative of -29 - 8*o + 3\/2*o**2. Let p(g) = -3*a(g) + 14*n(g). Let d(x) = x. Give p(d(m)).\nAnswer: -6*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8114490 and 12.\nAnswer: 16228980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30557339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d - 243. Give f(-29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1180447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*sqrt(2057)*-3 + 6*2*sqrt(2057))**2.\nAnswer: 1851297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 + 2 - 0) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281524?\nAnswer: 2, 70381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 31013220 to the nearest ten thousand.\nAnswer: 31010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + 5550\/(-180))\/(4\/(-312)). Calculate the highest common factor of 676 and w.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/5, 21, 1\/11, -1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1423975 and 790.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 119 = 553. Suppose -3147 = 333*y - g*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1828, -1896, -1980, -2086, -2220, -2388, -2596, -2850?\nAnswer: -3156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - n = -0*b - 2, 5*b - 3*n = -6. Let p = -2.01 - -0.01. Let j = -1.9 - p. Sort 0.5, b, j in decreasing order.\nAnswer: 0.5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4578)\/5559)\/((-9)\/153)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 57533.21 weeks?\nAnswer: 34796085408000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, 0.04, -0.5, -80\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 41) + -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 9\/152 (c) 13\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 23 = 3*b - 33, 0 = 5*i + 2*b - 25. Solve 112 = i*k + 137 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34368, -137818, -310234, -551616?\n\"Answer: -34483*x**2 - x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 1 (c) 0 (d) 5 (e) -54115 (f) 0.4 (g) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, k: 4, o: 4, g: 3}. What is prob of sequence kk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.900101 years to months.\nAnswer: 58.801212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1445, -7582, -23093, -52664, -100981?\nAnswer: -172730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (23 + -38 - -22) - 18.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 33 + 12. Let i(a) = 2*a**3 - 29*a**2 - 14*a - 15. Let d be i(w). Solve j - 5*r + 5 = d, 4*j - 3*r - 14 = -0*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 203835 + 87?\nAnswer: 203911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 221\/3*s**3 - 338*s**2 + 1\/10*s**5 + 5*s + 1 - 14\/3*s**4. Factor y(g).\nAnswer: 2*(g - 13)**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -508 + 525 - (-18)\/(-2). Let h = 3 - 2. Let d be 1\/(h - (-1)\/(-2)). Solve -u + 2 - 1 = 0, 3*x - d*u = -r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77.0895 and 0.1.\nAnswer: -7.70895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115729 + 86811 = 152*o - 57*o. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - 10\/15. Let l = 0 - 1. Which is the nearest to l? (a) v (b) 0 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*3*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4277 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1 + 1)*5\/(55\/22) and 1986.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w + 6. Let y(f) = -2*f**2 - 2*f - 5. Let k be y(4). Let n be (-3)\/5 + 198\/k. What is the remainder when l(n) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82502379 + -82436656.379. Let v = -66042 + x. Let r = v - -319. What is r rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6649, 6651, 6655, 6661, 6669?\nAnswer: 6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 17. Let r be ((-27)\/6)\/9*-10. Solve r*a + 4 + 11 = t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-18))\/(2\/(-3)). Let g = -68938 + 68938.2. What is the biggest value in 28, s, g?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/48 and ((-3)\/144)\/((-9)\/((-3942)\/3)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*((-10)\/4 + 2). Differentiate -34*h**2 - 18*h**2 + s*h**2 + 114 - 2*h**2 wrt h.\nAnswer: -102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biwb when four letters picked without replacement from {i: 3, b: 4, a: 4, x: 1, p: 2, w: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 25345?\nAnswer: 31\/25345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662698 plus 0.5?\nAnswer: -1662697.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.901 - -4.055. Let f = -0.144 - k. Let p = -7 - f. Which is the smallest value? (a) p (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from qurwbtr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/(-18))\/((-1)\/(-74)). Suppose -4*b - c = -1759. Suppose -19*l = -14*l - b. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -31*u - 1. Let w(y) = -10*y. Determine -2*g(q) + 7*w(q).\nAnswer: -8*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2773829 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570974 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: Simplify (s**(9\/7)*s**(4\/15))**(3\/19) assuming s is positive.\nAnswer: s**(163\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*t**3 + 186*t**3 + 188*t**3 - 856*t**3 + 182*t**3 + 188*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*y = 2*c - 47, 2*y + 27 = c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - -1) + (-10 - (-8 + -1)\/9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j + 8990 = -288*j - 3512 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeer when four letters picked without replacement from eeeerereererereeer.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2639\/310 + 9350\/(-1100)\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 406 - 401. Suppose 0 = 4*c - c + 4*o - 2098, b*o + 2818 = 4*c. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - -1*sqrt(612))*2)**2 + (sqrt(204)\/(sqrt(12) + sqrt(192)) - sqrt(17)) + 5.\nAnswer: -4*sqrt(17)\/5 + 9797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 3*t + 3. Give f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3 + 57*v**2 + 54*v = 0?\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2. Let l(h) be the first derivative of 11*h**2 - h + 53. What is t(l(c))?\nAnswer: -484*c**2 + 44*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.55 + -0.45. Let z = f + -44. Let s = 51.99841 + z. What is s rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(121)*-2 + sqrt(121) + sqrt(121) - sqrt(121))*5)\/((sqrt(110) + (2*sqrt(110) - sqrt(110)))\/sqrt(10))*-1.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234424 (base 5) in base 12?\nAnswer: 12124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 47040?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 384868*y\/5 + 18515422178\/5.\nAnswer: 2*(y + 96217)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18483.\nAnswer: 3, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*a + 15, 5*a - 9*q - 189 + 178 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-693)\/66 - ((-2)\/(-4) - 0). Let i(b) = -b**3 - 12*b**2 - 11*b + 2. Let f be i(v). Solve 1 + 3 = f*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-355)\/5 + 5)*6\/4. Let l = -35 - x. Let p = 17 - 1. What is the greatest common factor of p and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8890, 8703, 8490, 8251, 7986, 7695, 7378?\nAnswer: 7035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 2*a**3 - a**3 - 2*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*p = -11, 4*h = 3*p - 12 + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:24 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 + 4*y - 5. Let w be k(4). Let f be w*2 + (-1 - 1). Is 2\/3*(-4 + f) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 441291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 + 9 - -2610)\/((-1)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 15 = 5*v, -3*g - 3*v + 15 = 0. Solve -2*l - 1 - 9 = g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5634 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.477512 weeks in microseconds?\nAnswer: 288799257600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 461108 and 1462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, v: 2, b: 8, t: 1}. Give prob of sequence tvb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 2:40 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58150, -2, -0.2768 in decreasing order.\nAnswer: 58150, -0.2768, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069411623?\nAnswer: 3853, 537091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5)*f)\/(f\/(f\/(f*f**(6\/5)))))**45 assuming f is positive.\nAnswer: f**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 11*q - 15. What is d(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07412 and 312554301.\nAnswer: 312554301.07412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3643*v + 111 = 3606*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21.8? (a) -6 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360*j**5 + 11*j**4 - 2*j**2 + 239*j + 6 wrt j.\nAnswer: -21600*j**2 + 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -146836.85161 + 16306?\nAnswer: -130530.85161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.30045l?\nAnswer: 62300.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1533, -3054, -4575, -6096, -7617, -9138?\nAnswer: -10659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 7, r: 4}. What is prob of picking 1 t and 3 r?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2389, -2377, -2351, -2305, -2233, -2129?\n\"Answer: w**3 + w**2 + 2*w - 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1851, -3711, -5619, -7575, -9579, -11631?\nAnswer: -13731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61\/2 + 31. Solve -4*g**2 + 5\/2*g - t + 2*g**3 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z**5*z)*(z**(2\/5))**(-4\/21))\/((z**(-1))**18*(z\/((((z\/(z*z*z**3))\/z)\/z)\/z))\/(z*z\/z**(2\/7)*z)) assuming z is positive.\nAnswer: z**(1327\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 127 + -22?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -92 + -1 + (33 - 38 - -13)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101111 (base 2) to base 6.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 2*j + 2*n - 26, -3*n - 45 = -3*j. Let h be (3 - 1 - (-16 - -17))*56. Calculate the highest common divisor of j and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*x - 21*x + 6. Suppose -3*i + 3 = -5*c, -2*c - 10 - 4 = 2*i. Is 9 a factor of (x\/i)\/(9\/756)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17806 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:31 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3924 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 20330?\nAnswer: -20334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:23 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 21*t**2 - 24*t - 45. Calculate i(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -9*q + 37*q. Suppose q*u - 54 = -2*v, 9*u - 4*u + 48 = v. Solve n - 2*n = o + 1, -2*n = -5*o - v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/91 in 2, 3, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.056 and 16?\nAnswer: 16.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366\/8 + (-8)\/64*6 is divided by 63.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 16*q**2 + 2*q - 28. Let n be z(16). Let u be (-818)\/n*(5 + (58 - 3)). Round u to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/14*14\/4. Suppose -s*n = -2306 - 10784. Is 35 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*j + 88*j - 5 - 40*j as t*j + c and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -58*c + 42. Let h be t(0). Let j be -5 + 4 - (-35)\/h. Put 0, j, 0.02 in decreasing order.\nAnswer: 0.02, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -110 and -26.1274.\nAnswer: -136.1274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 13 (c) 5\/2 (d) 66 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**5 - z**4 - 1108750*z**3 + 3889162*z**2.\nAnswer: -120*z**2 - 24*z - 6652500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = b - 0*b, -2 = 2*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1927 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 11*o + 15*o = 0, -2*a - 5*o = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10200\/(-27200))\/(6\/(-27) - (-159)\/108)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456244 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 - 1681 + 1681. Let g = -20 - -25. Let p(f) = -g*f + 4*f + 2*f - 4*f. What is p(k(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/8*4\/(-6). Differentiate 3 - 22*s**4 + l - 3 + 19*s**4 with respect to s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 29 + 14. Suppose -4*s = -5*d - 40, v*s + 11 = 5*d + 56. Suppose 659 = s*l - 206. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989992 to the power of 1\/2, to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 688*b**5 - 388*b?\nAnswer: 13760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 3*l + 0*l)*(-4*l**2 + 2*l - 2*l) - 266*l**2 + 266*l**2 + 36*l**3 - l**3 - l**3 + 6*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1087.312 + 1105.3. Let h = o + -18. Let i = h - -0.011855. Round i to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 142, 221, 278, 313?\n\"Answer: -11*o**2 + 134*o - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -53*h - 2. Let j(m) = 215*m + 9. Calculate 6*j(v) + 26*y(v).\nAnswer: -88*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(300\/(-8)))\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7570386 is divided by 6670?\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -187*c + 299. Let j be m(2). Suppose -63 = l + 15. Let n = j - l. Solve -n*w + 4 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -482.80173 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 254520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/9 + 190010*s**3\/3 - 1140052*s**2\/9.\nAnswer: -2*s**2*(s - 285013)*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3179 - -3170.294. Let r = -0.47 - -9.27. Let z = q + r. What is z rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781b39 (base 12) in base 6?\nAnswer: -104543313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/(sqrt(9) - sqrt(9)*3))\/(sqrt(1452) + sqrt(1452)*3 + sqrt(12)).\nAnswer: -sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6247928 is divided by 164?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + 5*b**2 + 7*b. Let d(f) = -f**2 - f. Let t(w) = 8*w**2 + 10*w. Let v(n) = 10*d(n) + t(n). Calculate v(s(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1 less than -33.06502743846?\nAnswer: -49.16502743846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 + 217. Suppose 0 = -l*z - 110474 - 78346. Round z to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4 - 118*v**3 + 1312*v**2 + 4792*v + 3360 = 0?\nAnswer: -2, -1, 20, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iisswssb. What is prob of sequence sw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 46*t = 41*t + 196, 337 = 5*l - 2*t. Solve -16*v - l = 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-13)\/3)\/((-20)\/(-90)). Let y = x - 17. Let a be 2\/16*(-390)\/52. Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54566*p**2 + 2*p**3 + 2 + 54568*p**2 + 0 - 109130*p**2 - 8*p in the form t + g*p + z*p**2 + o*p**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v + 3*b + 24, 4*v = -5*b + 68. Let j be v*(3\/(-3) + 65). Suppose 2*a - 2*h = j - 16, 5*a - 1925 = -4*h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -162, -382, -690, -1086, -1570, -2142?\n\"Answer: -44*g**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -68, -2, 350, 5, 2, 1 in descending order.\nAnswer: 350, 5, 4, 2, 1, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 96\/19, -1\/2, -1\/3.\nAnswer: -3, -1\/2, -1\/3, 96\/19, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 260633, 521244, 781853, 1042460, 1303065, 1563668?\n\"Answer: -m**2 + 260614*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 - 1 - (128 + -108)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (584 + 254 + 31*z + 548 - 306 - 111)*(-2*z + 3*z - 4*z) as k*z + t*z**2 + d and give t.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/72875 + 72863\/218625. Determine s, given that -2\/3*s**3 - 4\/3*s - g*s**4 + 7\/3*s**2 + 0 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 9\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*j = -7*j - 3, -4*g - 3*j + 3 = 0. Let d(x) = g + x - 3 + 3. Let p be d(0). Solve -p*i + 5 + 1 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d**4*f + 72188*d**2*f**2 + 3585883*f**2 wrt d?\nAnswer: 20*d**3*f + 144376*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171727 is divided by 2182?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*k = -102, 2*k - k = 2. Let q = 53 + o. Let x = q + -10. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 152223063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Let z = 16 + -17. What is the closest to z in -0.5, i, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2191 - 2191 - 73*m**2 + (4*m - 2*m - 3*m)*(m + 0*m - 2*m) - 10*m**2 + 1 - 7*m**2 + 7*m**2.\nAnswer: -82*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**6\/10 - 3*g**5\/20 + g**4\/2 + 22*g. Factor c(d).\nAnswer: -3*d**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -42*f**2 - 4*f - 5. Let o(t) = -t**2 - t - 1. Let x(v) = -6*o(v) + u(v). Suppose 6 = -2*j + 4. Let y be x(j). Round y to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 0*x + 155\/4*x**4 + 25 + 247\/3*x**3 + 0*x**2. What is the third derivative of o(b) wrt b?\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29487 = -137*w - 5923. What is the greatest common factor of 396 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25318660 to the nearest integer?\nAnswer: 5032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let p be d\/(-8) - (1 + -3). Solve -p = -a + 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 24*z + 120 = 0. Let s be z\/5*(-240)\/(-4). Calculate the greatest common divisor of s and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 211 and 0.22698.\nAnswer: 47.89278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*m + 20 = 4*a, -4*a = 3*m - 6. Solve -3*q + 0 = a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29697, -59395, -89091, -118785?\nAnswer: -148477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6 + -394?\nAnswer: -29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 106 = -3*g + 17, -2*a + 6 = 0. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-70)\/25)*120\/(-18). Suppose 0*a - 5*a - 10 = -5*n, -4*a + g = 4*n. Solve 3*d + 15 = 0, n*d + 3 + 6 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342*h - 5*h**3 + 4043*h + 0*h**3 + 0*h**3 - 1359*h - 1342*h.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 373*v**7\/7 + 31*v**3 - 8*v**2 - 601. Find the third derivative of t(k) wrt k.\nAnswer: 44760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + i**3 + 1 - 44*i + 44*i as z*i + w + f*i**2 + r*i**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*y - 123 = -y, -4*y + 104 = 4*a. Let i(v) = -26*v**2 + 0 + 4 + 7*v + a*v**2. Let n be i(6). Solve 4*u + 2*w + 30 = 0, w - 5 = 4*u + n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 45 = 4*y, -164*y + 176*y + 5*m + 19 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4839416 = 4*m + 2*z + 4839414, -4*m - 3 = 3*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 75*w - 99*w + 57*w - 19. Let y(j) = 31*j - 19. Let n(l) = 3*u(l) - 2*y(l). Differentiate n(r) wrt r.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900958 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 399 and 105?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 69. What is g(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136205789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100 + 1104*v - 1141*v - 100 to the form x*v + t and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-69)\/3*1*(1 + -2). Solve -c*d = -16*d + 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 55*k + 943. What is d(-28)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(-9)\/(180\/(-4256)). Let z = 1635 - c. Suppose 3*i - 465 = -5*j, -3*i + 172 - z = -4*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12036294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 72 (b) -0.2 (c) -8.3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*p**4 - 156481*p**3 - 738558*p + 8?\nAnswer: 108*p**2 - 938886*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 38. Suppose -35 = -4*n + u - 7, -21 = -x*n - 3*u. Solve -4*b = -n - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 455149006676 + -2.\nAnswer: 455149006674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 4012004?\nAnswer: 4011646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p = -149677 - 29918. What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -135674, -135724, -135774, -135824, -135874?\n\"Answer: -50*s - 135624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 plus -710935?\nAnswer: -710965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*s**2 + 1 + 94*s + 94*s - 194*s + 0*s**2 + 0*s**2 + 2*s**2 + (-2*s - 2*s + 3*s)*(4*s + 0*s - 3*s).\nAnswer: 14*s**2 - 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70187163 a multiple of 2813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1635653 and 33895.19.\nAnswer: 1669548.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -1*(1 - 3))*40\/(-160)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738 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: Simplify -1*(sqrt(52) - (sqrt(156)\/sqrt(3) + sqrt(52) + 2)) + -3 + sqrt(52) + 5*(-1 + sqrt(52)).\nAnswer: -6 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.5, 0.3, 5\/14, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9906 (base 14) to base 12.\nAnswer: 13396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/640 in -2, -0.186, 0.21?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 13, w: 4, r: 3}. Give prob of sequence rr.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11386*x + 9732*x - 8778*x + 12149*x + 770*x.\nAnswer: 25259*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-21 - -2)*1. Let q = 19 + r. Solve q = 2*c + 6 - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - z**4 - 3*z**2 + 2*z**4)*(-3 - 1 + 0).\nAnswer: -8*z**4 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m*z**4 + 2*m*z**2 - 12*m*z - 16*m - 23*z**2 wrt z?\nAnswer: 60*m*z**2 + 4*m - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*p**3 + p**3 + p**3)*(6*p + p - 3*p) + (2*p**3 + 0*p**2 + 0*p**2)*(4 - 4 - 2*p)*(2 + 11 - 22))*(-66*p + 9*p - 72*p).\nAnswer: -5676*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2592) + sqrt(2592) + -1)*-5)**2 + 5 + 4 + ((sqrt(32) - sqrt(800))*5)**2.\nAnswer: -90000*sqrt(2) + 6493434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n**2 + n + (0 + 2*n + 0)*(n - 5*n + 2*n) + (-6 - 4*n + 4 + 3)*(-16 + 16 + 163*n).\nAnswer: -655*n**2 + 163*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1715601412 - 345*p + 1715601412.\nAnswer: -345*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Is 22\/(p*(-4 + 2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 6*n + 3. Let s be z(-6). Let a be s\/12 + (-1481)\/4. Round a to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 7:42 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135210.0000164727 - 135210. Round n to 7 decimal places.\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-9 - 4 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -509378 - -7636474\/15. Let h = r + 300. Let a = h + -2087\/120. What is the common denominator of -74\/3 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 8*c + 3. Let q be a(-7). Suppose -q = -0*h - 2*h. Suppose -h*d + 3*y + 375 = -775, -y = -3*d + 694. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 247, 267, 303, 361, 447, 567?\n\"Answer: n**3 + 2*n**2 + 7*n + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 - 842*w - 2291 wrt w.\nAnswer: -6*w**2 - 842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + z - 1. Let s(n) = -7*n**2 + 5*n - 7. Let x(v) = 6*f(v) - s(v). Let l(y) = -6*y**2 - 3*y - 6. Let q(r) = l(r) + 5*x(r). Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 2*j**3 - 2*j**4 - 6 - 6*j**2 - 3*j + 4 + 6*j**2 to r + h*j**4 + o*j**3 + k*j + a*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 425 - 423. Let d(n) = q + 16*n + 2*n**2 + 23*n - 41*n. What is d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/4 - 75*x**4\/4 - 1125*x**3\/2 - 16875*x**2\/2 + 30*x + 1. Factor o(a).\nAnswer: -5*(a + 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + a - 2 + (-3 + 2 - 1)*(-165*a - 1356*a - 2027*a) in the form f*a + w and give f.\nAnswer: 7097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87695 * 0.2.\nAnswer: -17539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 118*v - 11556. Let k be z(98). Is k < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1761 + -1603. Suppose -63*n - 16*n = -d. Factor -8\/3*f + 2\/3*f**3 - 2\/3*f**n + 8\/3.\nAnswer: 2*(f - 2)*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 742*s**2 - 15*s - 11. Let t be r(-5). Let l(d) = 13*d**2 + 3 + t*d - 18614*d. Let p(x) = x. Give l(p(o)).\nAnswer: 13*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*b = -4, -20 = -5*r - 5*b + 5. Let t be 3 + (3 + r - 4). List the prime factors of ((-222)\/9)\/(t\/(-18)).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3896 - -19419\/5. Let v = -108 - -246. Calculate the common denominator of y and 3\/(4 + v\/(-38)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44431304.\nAnswer: 2, 73, 76081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 0*a - a**2 + 3 + 3*a + 3*a - a. Let k be w(5). Suppose 3*q - 54 = 3*f, -k*f - 18 = -q + 2*f. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/28)\/((-3)\/60)*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.28.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/((-2)\/(-15) - (-7)\/35). Factor -160*b**2 + f*b**2 + 20 + 16*b + 78*b**2.\nAnswer: -4*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 35*d = 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2 - (5 - 1\/(4\/62)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -7. Let a = 34 + o. What is the greatest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((260\/8)\/5) + 589920\/1560. Solve -99 = 31*f - w for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4640635 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 3*a - 3. Let o be v(-2). Let b be 2\/7 - 26\/(-7). Suppose -b*m + 0*j + 6 = -2*j, 2*j - 2 = 0. Put 5, m, o in descending order.\nAnswer: 5, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*f + 28*f + 671. Let t = 132 + f. Let w = -384 + t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951532 - 1657*q + 951532.\nAnswer: -1657*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (32 - 28)) + (-3 - -10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 384638422 to the power of 1\/2, to the nearest integer?\nAnswer: 19612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -17. Find the first derivative of k**4 + 0 - 4 + 11 + k**c wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678455719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1756 - 1739. Solve 9*f - p*f + 8 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*j - 1447*j = -391*j + 818*j + 270725 for j.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 149, 1180, 3963, 9374, 18289, 31584?\n\"Answer: 146*b**3 + 9*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 372960 and 83605200.\nAnswer: 501631200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 375622*b - 3004977. Calculate i(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313609002 minus 4?\nAnswer: 4313608998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 + 247*c + 738. Suppose -4*g + 6 = -2. Suppose 5*o = g*i - 44, 15 + 51 = 3*i + 3*o. Calculate the remainder when z(-3) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 35*v + 116. Let f(s) = 3*s**3 + 5. Let j(z) = z**3 + 1. Determine v*j(g) + f(g).\nAnswer: -g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -649 + 670. Suppose r + 3*r + 1204 = 3*o, 0 = -3*o - t*r + 1197. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5464 + -5469. Let q be (-3 + 65\/(-10))*-2. Sort j, q, 5 in increasing order.\nAnswer: j, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*c = -429, 0*c - 143 = -v + 2*c. Is 26 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26697, -2270, -5, 4.\nAnswer: -26697, -2270, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Is 2 - (-22)\/(z + -2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 749.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145599443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 4*k**2 - 6*k - 4. Let g be u(-1). Solve 4*c = -4*d + 3*c, 4*d - 3*c = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2 + 19*i**2 + 11*i**3 - 5*i**3 + 8*i - 12*i**2 + 3*i**3. Let a(r) = -3*r**3 + r**2 - r + 1. Let u(d) = -2*a(d) - w(d). Find z such that u(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 159937?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**2 - m - 2. Let q(b) = -12*b**2 + 2*b + 5. Let v(s) = 2*q(s) + 5*x(s). What are the prime factors of v(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 2.44.\nAnswer: -4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbpqpttjbkqq. Give prob of sequence kq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 268*x - 4247. Determine o(38).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277250389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.675 - -43. Let x = 0.305 - h. Which is the third smallest value? (a) -3\/2 (b) x (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -22. Let m = -10 + q. Suppose 2*h - 27 = m. What is the remainder when 30 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/((sqrt(24)*-2)\/sqrt(3)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.57 + -1.6. Let k = j + 1.03. What is the nearest to 2\/5 in k, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -19. Suppose 0 = g*p + 4*p. Let z(o) = o**3 - o**2 + o + 80. Is 40 a factor of z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/6 - 6325*q**3\/3 + 39980317*q**2\/6 + 26678850*q + 26687286.\nAnswer: (q - 6327)**2*(q + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*f = 700*f - 28333 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18558 + 27810. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627732736.\nAnswer: 2, 79, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h - 12, 0 = 4*y + 2*h - 579398. Round y to the nearest 1000.\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146488.084 to the nearest 1000.\nAnswer: 146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.5 + -87.2. Let s = -59.905 + -0.095. Let u = a - s. Round u to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 3b10cb3?\nAnswer: -3b10cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from scbsbcbbbbsb?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16745072 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -20*m + 1. Let g be y(3). Let k = -63 - g. Let l be ((-11)\/33)\/(4\/(-2))*2. Which is the smallest value? (a) k (b) l (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-3))\/(10\/15). Let j(z) = 15*z**2 + 2*z + 1. Let s be j(t). Let d = s - -2. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6375546 times 13\nAnswer: -82882098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 74. Let b(a) = -37*a**3 + a**2 - 2. Let z be b(x). What are the prime factors of 1 - ((-934)\/14 - z\/126)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2486 is divided by 2480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5653*i**2 + 24636*i?\nAnswer: -11306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 13*c - 1. Let s be t(6). Put -4, -1, s in increasing order.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c**5 - 524*c**4 + 1828*c**3 - 1576*c**2 + 288*c = 0 for c.\nAnswer: -36, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 52. What is the fourth smallest value in -3\/7, n, -1, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7576 divided by -3788\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656 = -7976230*m + 7976276*m for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 513140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14783?\nAnswer: 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -r. Let k(m) be the first derivative of -2 + 0*m**2 + 0*m**3 + 1\/4*m**r + 0*m. Suppose k(g) = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -m - 3*v - 2, 0 = 4*m + 3*v - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(4\/9)*s)\/s)**(8\/17) assuming s is positive.\nAnswer: s**(176\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**4 + h**3 + 2101831*h**2 + 5071*h - 3890 wrt h?\nAnswer: -72*h**2 + 6*h + 4203662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from wrrwwdwrrkddkdd.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 873 = -2*m, 0*m + 879 = 2*m - 3*q. Let h = -633 + m. What are the prime factors of (h\/(-18))\/((-6)\/(-8))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**4 + 2*n**3 - 214*n**2 + 726. Let z(a) = 8*a**4 + 5*a**3 - 425*a**2 + 1451. Let l(o) = 5*g(o) - 2*z(o). Differentiate l(k) with respect to k.\nAnswer: 16*k**3 - 440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 1:08 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 337?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 76\/(-8))*6. Let u(d) = -d**3 - 2*d**2 + 2*d - 2. Let f(h) = 6*h**3 + 11*h**2 - 11*h + 11. Give o*u(b) - 6*f(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113\/(339\/60)*(-6)\/4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 606 and 60?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 33. Determine f(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 966 (base 11) to base 13\nAnswer: 6b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/11, 3\/2, -0.4 in descending order.\nAnswer: 3\/2, -4\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z + 67. What is l(-7)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(3 + sqrt(539)) + (sqrt(539) + -2)*-3)*-5)**2*2.\nAnswer: -8400*sqrt(11) + 34150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/7, 0.4, 27, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -144*i - 40. Let o be y(-8). Suppose -o = -2*x - 4*u, -x + 4*x - 1672 = -5*u. Suppose 5*z + z - x = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54560 (base 8) in base 13?\nAnswer: a563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 13*i**2 - 93*i - 71. Calculate v(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 2*i**2 + 7*i + 5. Let z be u(-4). Suppose -5*s + z + 1 = 0. Solve -5*h + 2*j + 19 = 0, s - 14 = -4*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**3 + 6*g**2 + 8*g + 2. Let t(o) = -11*o**3 + 7*o**2 + 10*o + 2. Let h(f) = -3*t(f) + 4*u(f). Give h(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*b = 3, 6*r + 9 = 4*r + b. Let f be r\/26 - 6\/(-39). Suppose -a = -f*a - 93. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1293.507 meters to millimeters.\nAnswer: 1293507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - -3 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 66*n**3 - 11*n**2 - 11*n - 11. Let t(s) = 13*s**3 + 4*s**2 - 2*s + 58. Let q(c) = -c**2 - 10. Let m(d) = 6*q(d) + t(d). Give -2*f(i) + 11*m(i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 4*s. Let b(k) = -2890*k + 3. Determine v(b(f)).\nAnswer: -16704200*f**2 + 23120*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 219, 113, -57?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 208 + 122. Let f = 29 + -18. Calculate the remainder when l is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, b: 1, w: 2, e: 1, x: 4, t: 2}. Give prob of sequence te.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 + 882789.42067761\nAnswer: 882789.58067761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 6*b + 20. Calculate the common denominator of (5\/(-3))\/(8\/78) and (-36)\/b*(-2)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/1*(-3)\/6. Let z = 7 + m. Suppose -3*i - z*a + 105 = 0, -5*i + 5*a - a + 211 = 0. Find the common denominator of 13\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:40 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13435.9 - 13537.\nAnswer: -101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45 times -0.06329?\nAnswer: -0.0284805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbcc when four letters picked without replacement from {c: 4, b: 14}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 9*x + 26. Calculate the greatest common divisor of x and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 87, 259, 519, 873, 1327, 1887?\n\"Answer: u**3 + 38*u**2 + 51*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 41*q**6\/120 + 6*q**3 - 21*q**2\/2 + 6*q. Let o(t) be the first derivative of g(t). Differentiate o(f) wrt f.\nAnswer: 123*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110463 - 110460 + 1180*q + 1894*q + (1 - 1 + 2)*(0*q + 3*q - 5*q).\nAnswer: 3070*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(3 - 3 + 2*a)*(-2*a**2 + 7*a**2 + 6*a**2) to y*a + q + u*a**2 + z*a**3 and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8341 times 0.17498?\nAnswer: 1459.50818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 10 = 2*f, 0*m + 3*m + 6 = -f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + t - 1. Calculate the smallest common multiple of a(1) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 1, h: 4, v: 2, b: 6}. What is prob of sequence bb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -668*s - 1 + 0 + 292*s - 1402*s as c + j*s and give j.\nAnswer: -1778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + -39 - (1 + 0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w**(-2)*w))\/(w*w**(-1)*w))\/((w\/w**(2\/9))\/(w\/w**(5\/4))) assuming w is positive.\nAnswer: w**(-73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 175496992.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xff when three letters picked without replacement from {y: 4, f: 3, x: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -38. Find the second derivative of -13*r**2 - 2*r**g + 20*r - 16*r**2 wrt r.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11659 in 2, -5\/4, 5\/7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaqqzzqqbbub. What is prob of picking 1 q and 1 b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + x + 1. Let r(k) = 118*k**2 - 3*k - 6. What is -r(d) - 4*u(d)?\nAnswer: -126*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**3 + 5*q**2 - 6*q. Suppose 13 = 2*g - 1. Let j(y) = y + g*y - 6*y**2 - y - 9*y**3. Give -7*h(z) - 6*j(z).\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -45. Let r be 1\/2 - (-18)\/m. Let f(j) = -j**3 + j**2 + 7*j + 17. Calculate the remainder when f(r) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.2881l in millilitres?\nAnswer: 197288.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*x, 0 = -3*l - 0*l + 4*x. Let c be 25\/(-15) - (0 - l - 2). Sort c, 0.3, -2, -2\/35 in decreasing order.\nAnswer: c, 0.3, -2\/35, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2300, -2458, -2616?\nAnswer: -2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.188*-66\nAnswer: -144.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**45*(i**(-1\/3))**49*(i*i\/(i*((i*i\/(i**(-2\/7)\/i)*i*i)\/i)\/i)*i)**(-40)*(i**(-1\/3)*i)**(-27\/2) assuming i is positive.\nAnswer: i**(1493\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7252 and 6512?\nAnswer: 319088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 58, 2 in descending order.\nAnswer: 58, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(17\/2)*p*p*p**(3\/10))**(10\/7) assuming p is positive.\nAnswer: p**(118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**2 - 30*l - 18. Let g(s) = -13*s**2 + 58*s + 33. Let d(f) = 6*g(f) + 11*o(f). Factor d(a).\nAnswer: -a*(a - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6405114 a multiple of 562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50691632489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let q(x) = -12*x**3 - 20*x + 16. What is -q(d) - 20*s(d)?\nAnswer: 12*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, 5, 0.5, -7, -1.79, -2\/7?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 6*c**2 - 4*c + 5. Let j be w(-5). Let k be j - 2*3\/(-2). Solve -2*s + 20 = k*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 343 - 308 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*((-95)\/15 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (-2 - 0) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/420)\/((-3)\/36).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323310331 (base 5) to base 15.\nAnswer: 1c55e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1293*g + 3294. Calculate the remainder when j(2) is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 8) to base 4\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50b50a6 + -3?\nAnswer: 50b50a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -46*u**2 - 723*u + 337. Give l(-16).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5711232 kilometers in meters?\nAnswer: 571.1232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g - 5. Let b(j) = -8*j + 6. Calculate 3*b(l) + 4*t(l).\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 30*b**2 + 3*b + 91. Let u be l(-30). Which is greater: u or 5\/118?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-508596*q - 204 - 28 + 508568*q)*(-4*q - 3 + 3) to k + x*q**2 + r*q and give x.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19545 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 1. Let q be s(-1). Find the third derivative of 3*m**2 - 6*m**2 + q*m**3 + m**3 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(23\/(345\/(-10))). Let o(w) be the third derivative of w**4\/8 - 11*w**3\/2 + w**2. What is the units digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -34. Let m = 53 - k. Sort 8\/23, m, -2 in increasing order.\nAnswer: -2, 8\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 - 12 = 0. What is the smallest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676.4*-0.177\nAnswer: 119.7228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 632203*b**2*o**3 - 10*b**2*o - 263*b*o**2 - 3820*b - 217*o**3 wrt o.\nAnswer: 3793218*b**2 - 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 36*l - 277. Let r be y(-16). Sort r, -3, -1, 5 in decreasing order.\nAnswer: r, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -500*l - 4001. Let u be v(-8). Which is smaller: u or -7\/883?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9359?\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3677854554 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3115930070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 8:13 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-78) + (-865)\/(-2249).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*b - 12, 7 = 1778*b - 1773*b - 3*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*p - 33*p - 744. Solve -15*u**3 - 39*u - 50 + 85*u - p*u - 5*u**4 + 55*u**2 = 0 for u.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 18*i + 21*i - 41*i - 32 in the form f + l*i and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, h: 9}. Give prob of picking 3 h and 1 z.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8754283 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*m*s**4 - 48*m*s**2 + 3*s**4 wrt s?\nAnswer: -840*m*s + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhrhnmnhhhhn. What is prob of picking 4 h?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*o**3*q + 7239*o**3 - o**2*q - 2*o*q + 9*o - 6803*q wrt o?\nAnswer: 108*q + 43434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 9*k**2 + 7*k - 11. Let s be p(8). Let g = 14 + s. Suppose -3*v = -v - 2. Sort g, 5, v.\nAnswer: g, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((-2)\/((-464)\/87)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 3*q - 8, 3*t - 25 = -2*q. What is the remainder when 26 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7648 - 1068. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 109 = -66*d - 1129 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 1:03 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 953, -21, 5, -27, 0, 6 in increasing order.\nAnswer: -27, -21, 0, 5, 6, 953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**4 + 4*p**3 - 4*p**2 - 43*p - 1289. Let z(c) = c**4 - c**3 + c**2 + 2*c - 3. Let d(u) = -o(u) - 4*z(u). Find the first derivative of d(k) wrt k.\nAnswer: -8*k**3 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/374147 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/39 and -26\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-25 + 11)) + 15 - 20.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*u + 7 = -13, 33*c + 6*u = 30 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q + 1. Let b(i) = 3*i**2 - 2*i + 2. Let f(g) = 2*b(g) - 4*h(g). Let u(a) = -23*a. What is f(u(k))?\nAnswer: 1058*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -41. Which is the nearest to 2? (a) 3\/7 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 41*u - 5. Let o(v) = 8*v - 1. Let s = -2199 + 2201. Give s*i(b) - 11*o(b).\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 - -42.\nAnswer: 44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 220 = -2*z. Let t be 2 + (9 + 3 - 3). What is the greatest common factor of z and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, e: 5, j: 8}. What is prob of picking 2 e and 2 j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 1312, 4242, 9934, 19306, 33276, 52762?\nAnswer: 78682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 161\/((-102718)\/696) - 2628\/(-2288)\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 65 = -3*a. Let t(m) = -m**2 + m + 1. Determine t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 - -128. Which is the closest to 2\/7? (a) k (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027286959 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:03 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i + 1. Let j(z) = -533331*z**2 - 6*z - 6. Let w(m) = -j(m) - 3*x(m). Let p be w(-3). Round p to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from mqmqqqq?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 20. Suppose 4*h = 4*f + 176, 0 = 5*h + f - 286 + 78. What is the remainder when h is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 1326 - 255. Let j be (-5)\/12*t\/(-35). Sort -0.2, 1.5, j in decreasing order.\nAnswer: 1.5, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlncnqlnqql. Give prob of picking 2 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) - 2\/(-2). Suppose 6 = 2*f - 2*d, d + 5 + 6 = k*f. Suppose 0*v - 7 = -2*j - 3*v, f*j - 4 = 4*v. Solve -x + j*x = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boy when three letters picked without replacement from bbyeyojjwbybwey?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 - 185. Solve 21 = -y*i + 2*i - 5*o, -i + 5*o = -29 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*g - 2*y, -34 = -3*g + 3*y - 31 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 23*o + 383. Calculate the least common multiple of (-1700)\/(-70) + (-4)\/14 and k(-13).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3\/7 + 25044*j**2\/7 + 200544*j\/7 + 401216\/7 = 0.\nAnswer: -4, 6269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 4 (b) 21 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163, -161, -157, -151, -143?\n\"Answer: o**2 - o - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**3 + 4*i + 2. Let h be p(-3). Let j = 1206\/7 + h. Let u = 0.8 - 0.3. Which is the smallest value? (a) u (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-4)\/10) + (-3804)\/(-13314)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8054 + -8061. What is the fourth biggest value in 5, -0.4, -0.02, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932371301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**5\/25 + n**3\/5 - n**2\/5 - 44. Factor a(c).\nAnswer: -c*(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let a be (33\/(-1))\/(-3) + 0. Let k = a - h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30522?\nAnswer: 2, 3, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -973*i**2 - 7*i - 23. Let y(z) = 488*z**2 + 4*z + 14. Calculate -3*v(c) - 5*y(c).\nAnswer: 479*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -125. Let g(v) be the second derivative of 11*v**3\/6 + v**2\/2 - 7*v. Let y be g(10). Calculate the greatest common factor of y and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(275) + sqrt(275) + -1 + sqrt(275) - sqrt(275) - (-5 + sqrt(275) + 0 + sqrt(275) - sqrt(275)) - (sqrt(275)*-2*6 - 4*sqrt(275)*1))*1)**2.\nAnswer: 79475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-730)\/(-6570))\/((-165)\/(-66)*(-8)\/(-15))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.1 - -8.1. Let a = -29.999851 - j. Round a to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = j - 4*g + 14, 3*g + 20 = 5*j. Suppose -2*f + 630 = 8*f. Calculate the highest common divisor of f and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253458.\nAnswer: 2, 263, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 5148390.\nAnswer: 149303310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*h + h. Suppose 36 = -0*v - 4*v. Let y = h - v. Which is smaller: y or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 158*a - 157*a + 2*v - 5, -2*v - 17 = -a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**2 + 527944*h - 4223808 = 0.\nAnswer: -131994, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 418 - 70 = 3*n, 4*z + 5*n - 459 = 0. What is the highest common divisor of z and 2563?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 427\/165 - 27\/11. Let b = -0.21 - -0.11. Let k = b + 1.1. What is the nearest to k in j, 0.1, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12)**(-18)\/((m*m**(-4\/11)*m)\/m**(5\/7)) assuming m is positive.\nAnswer: m**(-16703\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 157 and -233409 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/15*-3 - 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -6) + 8 + (-3 - (-2 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601921591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 7 - v - 3*v + 1 + v**2 + 10 to t*v + i + l*v**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1862*p + 5237 - 5237)*(3*p + 3 - 3).\nAnswer: 5586*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g**3 + 2*g**2 - 5*g + 8. Let u(w) be the first derivative of w**4 - w**3\/3 + w**2 - 3*w - 1. Calculate 8*u(v) + 3*x(v).\nAnswer: -v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 1\/8, -2\/3, 2\/64191, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10695500 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176279 is divided by 3831.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34551883, -69103764, -103655641, -138207514, -172759383, -207311248, -241863109?\n\"Answer: 2*v**2 - 34551887*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -67 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 5*p**2 - 2 - 5*p**2 + 3*p)*(-10226*p**2 + 10226*p**2 - 224*p**3).\nAnswer: 896*p**5 - 672*p**4 + 448*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -32, 1, -59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2*u**2 - 2*u**2)*(u + 0*u + 2*u) - 40*u**3 + 0*u**3 - 14*u**3 + 2*u**3 - 5*u**3 + 5*u**3.\nAnswer: -46*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/12 - (-3 - -3). Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91724 - 272582\nAnswer: -364306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -596, -820, -1044?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -206 and -3?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w + 5. Suppose 2*p = 4, -3*n - 29 = 3*p + 2*p. Let l be k(n). Suppose 5*u + 34 = l. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7222215 divided by -3885\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10303140335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z = 20. Suppose 0*p - 5*k + 15 = 3*p, -4*p + k = -z. Find the second derivative of 8*v - 4*v**p - v + 10*v**5 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 43 = -105. Let l = n - -18. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190269?\nAnswer: 277, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9118 + 18225 + 6107*w**3 - 9107)*(0 + 1 + 1).\nAnswer: 12214*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6851\/6 - 1139. Let z be 5\/20 + (-288133)\/(-24). Let c = -12000 + z. Find the common denominator of c and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.2 + -15.5. Sort -1, -9, -4, x.\nAnswer: -9, -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/9 + (-6)\/27. Let j = -37 + 32. Which is the second biggest value? (a) f (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40944, -5, 4, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 9. Let a be j(-9). Let s be (a + -2)\/((-4)\/10). Suppose -2*o + s = -17. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - 3 - (-15 + (-805)\/(-63))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 239132776 divided by -1996\nAnswer: -119806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-18) + 80\/180. Find the third derivative of 0*j**3 + 28*j - 123*j**3 - 12*j**l + 19*j - 44*j wrt j.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -279.1468 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 6:16 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 3*o**3 + 2*o**3)*(7*o**2 + 28*o**2 - 12*o**2) + 4*o**4 - 4*o**4 - o**5.\nAnswer: 68*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 81.39. Let q = -6.39 + p. Let w = q + 7. Does w = 2\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 5*n + 7. Let q be g(6). Let s = q + 3. Suppose -4*v - s = -48. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 342 + -312. Calculate the greatest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1019?\nAnswer: 0.3057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179787 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/14092 and -63\/2?\nAnswer: 14092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/14))**3*(a\/a**(2\/27)*a)**(-11\/6) assuming a is positive.\nAnswer: a**(-4247\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7956*d**2 + 250282*d - 9638.\nAnswer: 2*(26*d - 1)*(153*d + 4819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-11)\/3 - (-66)\/18. Solve 2*b = -2, -2*b + b = -t - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 21 - v**3 + 2*v**3 + 47 + 10*v**2 to the form x*v**3 + w*v**2 + k + o*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6 + 8*b + 7*b**2 + 3*b**2 - 11*b**2 + 10. Let t be z(7). Let u be (t + 1)\/2 - 72\/(-18). What is the greatest common factor of u and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12750886.\nAnswer: 2, 179, 35617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122426365?\nAnswer: 5, 224485273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*30.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 43*x - 72. Let l be j(31). Let d = 2780677\/2 - 22194523\/16. Let k = d - l. Find the common denominator of k and -77\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 0 (c) 3 (d) 1\/17 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*o + 26 = 0, -3*o - 9 = -3*l + 9. Solve -7 = -d + 5*c, -l*c + 5*c - 7 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 8288\nAnswer: -1\/4144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:18 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**5\/20 - 3*d**4\/16 + 5*d**3\/4 + d**2 + 3*d + 1. Factor p(u).\nAnswer: -(u - 2)*(u + 4)*(4*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37466 is divided by 4683.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34554, -69093, -103634, -138177?\n\"Answer: -o**2 - 34536*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - o - 2. Let u be b(2). Let l(v) = -v**3 - v**2 + v + 2. Let p be l(0). What is the greatest common divisor of u and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.36503 - -0.36503. What is the closest to 0.2 in t, 8.2, -13, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/17)\/p)\/(p\/p**12))**(-1\/31) assuming p is positive.\nAnswer: p**(-189\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75982 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035986054 rounded to seven dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/7)\/(j**(-2\/61)*j))\/(j**29*j*j\/(j\/j**(6\/7))*j) assuming j is positive.\nAnswer: j**(-13467\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j - 102. Let l be r(6). Let g be 1 + (-10)\/4 + (-78)\/l. Solve 0 = g*n + u + 1 + 15, n = 4*u + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 81 - 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 + -1547664.8833.\nAnswer: -1547688.8833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -7*a + 1361. Calculate the remainder when a is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 9:49 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 154 = b + 35, 0 = -3*a - 5*b + 139. Let i = a - -88. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**24*p**(-10))\/(((p\/(p**(-5\/7)*p))\/p)\/p**(2\/53)) assuming p is positive.\nAnswer: p**(5314\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x - 85*x = 96*x + 1344 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**5\/20 + 19*g**4\/12 + 23*g**3\/6 - 5*g**2 - 42*g. Let x be c(20). Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 819 divide 3444553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 820915138 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c2 - -b7?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*l - 12, -4*l = -8*l - 4*c + 20. Suppose 8 = -k + l*k, k - 78 = -2*s. Let p = 12 - 2. Calculate the remainder when s is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 10 - 24 + 5*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/8 of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let q(h) = -49*h**2 + 0 - 3 - 2 + 37*h**2. Let u(r) = 0 + 6*r**2 + 7*r**2 + 6. Let a(z) = -6*q(z) - 5*u(z). Give g(a(y)).\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*t**2 + 0 + 5 + 193*t**2 - 5.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 5 = 3*f, 4*f + 3 = q. What is the second smallest value in q, -0.3, 1\/2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/13)\/(v**(-3)\/v)*v*(v*v**(-4))\/v*v**(1\/5))**(3\/5) assuming v is positive.\nAnswer: v**(174\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3 + 16266*i**2 - 33080976*i + 33064712 = 0.\nAnswer: 1, 4066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + t - 26, s - 6*t + 11*t - 49 = 0. Let i(m) = 2*m + 3. Let f = -3 - -8. Let l(d) = d + d - 2*d - 6 - f*d. Give s*i(x) + 4*l(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2829, 4266, 6661, 10014?\nAnswer: 14325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -12. Let d = 14 - 99\/7. Which is the nearest to k? (a) d (b) 1\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*v - 78577 + 78577.\nAnswer: -329*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 75. Determine j(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hreysshi. Give prob of picking 1 h, 1 s, and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 160 - 13*x**2 - 160 in the form c*x**2 + j + i*x and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 1. Let l(z) = -3*z + 1. Let h(f) = f + 12. Let p be h(-6). Let j(r) = p*i(r) + l(r). Find the first derivative of j(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1523825858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ea + 5?\nAnswer: -4e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 36 = -15*g. Let w(p) be the second derivative of 5*p - 1\/72*p**4 + 1\/36*p**g + 0 + 1\/6*p**2. Determine u so that w(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310502 to the power of 1\/2, to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 8*a + 4. Calculate u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.44 rounded to zero decimal places?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-26336)\/(-462) + (14 - 71)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*v + 4619, -8*v + 11*v = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(1152)*2 - sqrt(1152)) + sqrt(1152))\/(sqrt(44)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 1 = x. Let y = x + 5. What is the units digit of -2 + (y\/2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdf when three letters picked without replacement from {m: 1, z: 1, f: 9, d: 3}?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136255*w**6 + 5*w**5 - 2*w**2 + 2284547*w + 1 wrt w.\nAnswer: -16350600*w**3 + 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, -1, -2\/87, 2\/5?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.95.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15576572, 15576568, 15576564, 15576560?\n\"Answer: -4*c + 15576576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**2 - x - 1. Let r be u(-1). Let q be r + (-18)\/(-12)*24\/(-9). Let g(c) = -c**2 + 4*c + 3. What is g(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 6. Let j(o) = 3 + o**2 - 3 + n - 6*o + 0*o. Determine j(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (sqrt(147) + sqrt(147) + -2)**2 - ((sqrt(147)*-2)**2 + -3 + 4*(sqrt(147) + 1)).\nAnswer: -84*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 + 399*h**4 + 3649*h**3 + 9369*h**2 + 6120*h = 0. What is h?\nAnswer: -5, -3, -1, 0, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52324 + 5?\nAnswer: 52332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-375))\/(2\/(-5))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 3. Let y(n) = -4*n - 5. Let s(r) = 9*b(r) - 4*y(r). Let p be s(-5). Let d = -5 + p. Is d < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.5 - 21.3. Which is bigger: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*b**4 - 3*b**3*l + 905*b*l wrt b.\nAnswer: 684*b**2 - 18*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-204))\/(3\/(-1110)) - -11.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.893 + 33. Let s = u + -0.047. Suppose -y + 1 = -w, 6*y = y - w + 29. Which is the smallest value? (a) -4 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -14. Let c(u) be the second derivative of u**5\/20 - u**4\/12 - u**3\/6 + 7*u**2 - 15*u + 3. Calculate c(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -39. Suppose 159 = w*n - 1336. List the prime factors of n.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 7*g + 30. What is the remainder when b(6) is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -25, -29?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*z + 161*z - 6293708 = -192*z. List the prime factors of z.\nAnswer: 2, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/10 - o**4\/3 - o**3\/3 + 8*o**2 - 6*o + 1. Is a(4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 19*h**3 + h**2 + 6*h. Let p(u) = 37*u**3 + 2*u**2 + 11*u. Let o(f) = 11*l(f) - 6*p(f). Calculate the remainder when 34 is divided by o(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95844 - 95844.0300073. Let n = 0.03 + l. Round n to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 16290*i + 22113675.\nAnswer: 3*(i - 2715)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6754*n + 47263. Calculate f(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - z**2 - 4*z**2 + (4*z + 4*z - 6*z)*(-z - 3*z + 2*z).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 9*u = 0. Suppose -4*c = -z - 520 - 104, -2*z = u. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 3. Let o be (-1)\/(((-9)\/(-3))\/(-15)). Let z = o - 9. Let b(y) = 1. Let d(t) = z*b(t) - a(t). Differentiate d(i) with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 8*s - 7*s + 325, h = 2*s - 120. Let q = h + 173. What is the remainder when 125 is divided by q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -251432\/15825?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46546*o - 2232 = 46639*o for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*v + 19 = -5, -2*w + 3*v = 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10036361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 945577.6l in millilitres?\nAnswer: 945577600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.2, -49.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Suppose 8 = -2*r - 4*i, -r + i - 1 = -6. Let d be c\/4 + 13\/r. Solve -12 = -2*u + d*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221112 - 1021?\nAnswer: -222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6956899438 + -6956900726.9999227. Let w = 1289 + z. Round w to six decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-6 - 1) + 1. Let l be m\/5*190\/(-19). What is the greatest common divisor of l and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 369.99713 + -370. Round t to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 12. Let x be (224\/10)\/((-6)\/(-20))*(-8928)\/(-868). Calculate the greatest common divisor of j and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33281?\nAnswer: 23, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 104, 265, 512, 857, 1312?\nAnswer: 1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -509?\nAnswer: 4\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4605.82816 - -4606. What is q rounded to 3 dps?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = 5*k, 4*k = -4*q + 16. Let o = -193\/5 - -39. Factor o*b**4 + 0*b**q + 0 + 0*b - 2\/5*b**2.\nAnswer: 2*b**2*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*z + 15*z**2 - 2*z + 5*z.\nAnswer: 15*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 2, g: 2, o: 2, b: 1, p: 1}. Give prob of picking 1 o and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtapo. What is prob of picking 1 a, 1 d, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 11*u**2\/2 - 44. Let a(x) = 8*x. Give a(g(q)).\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 18966716*g - 56900166 = 0. What is g?\nAnswer: -3, 9483361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -58.01775. What is a rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 0*p + 33 = 0. Solve -15 = 3*b - 0*t - t, p*t - 25 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566 is divided by 128.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29 (b) 0.4 (c) -0.4 (d) 3 (e) 2\/15 (f) 933\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -2\/237?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 9:43 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8061 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 6*v**4 - 21253*v**3 + 18758301*v**2 + 110058960*v + 78676900 = 0.\nAnswer: -5, -5\/6, 1774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0 + 9\/5*p**2 + 1\/210*p**7 + 3\/50*p**5 + 1\/3*p**4 - 13\/10*p**3 - 84*p - 1\/25*p**6. Suppose l(i) = 0. What is i?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*j + 114*j - 18 = 0, -5*j - 26 = -g. Let q(s) = -5*s**2 + 3*s - 3. Let k(o) = -6*o**2 + 4*o - 4. Calculate g*k(b) + 5*q(b).\nAnswer: -b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 2*j = 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23357 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -171*r**3 + 3*r**2 + r - 4. Is j(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/9 greater than 57043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times 14618.2?\nAnswer: -190036.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4180630748 to the nearest integer?\nAnswer: 64658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13578670?\nAnswer: 2, 5, 7, 29, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 6, 5, 8, 15, 26, 41?\n\"Answer: 2*o**2 - 11*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 905580 and 3330?\nAnswer: 33506460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9884 + 9882. Which is the closest to -1? (a) -0.2 (b) -17 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -186*v**2 - 31*v - 13364. Let m(z) = -92*z**2 - 13*z - 6684. Let p(y) = -3*j(y) + 7*m(y). Find the first derivative of p(c) wrt c.\nAnswer: -172*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-1)\/6 + 33 + -35?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 7*j**2 + 8*j - 5. Suppose -22*w + 18 = -19*w. Let g be d(w). Does 5 divide g\/(2*(-3)\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4407 divided by 70615?\nAnswer: 4407\/70615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 + -8 - -26) + 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2. Suppose y = -3*y + 8. Let i(f) = -f**2 + 4 - f**y - 4. Give v(i(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1)\/2 + -1. Let d(n) = 5*n + 1. Let s be d(o). Suppose 2*u + 4 = 12. Sort s, 2\/9, u in descending order.\nAnswer: u, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let j = 1.34 - 0.34. Which is the closest to j? (a) -5\/4 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26789*o - 26793*o = -64 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q - 300 - 244 = -82 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -35. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*m**5 - 4130*m**4 - 605*m**3 + 170*m**2 = 0.\nAnswer: -2\/7, 0, 1\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 762 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53870080 and 77438240?\nAnswer: 1239011840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110170043 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*g + 279702 = 17254. What are the prime factors of g?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 3*y + 3. Give n(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-78)*12\/(1*(-175)\/(-25)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 3*n + 2, -2*o = -4*n - 0*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - 0 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-19)*p)*p)\/p*p)\/(p*p\/(p*p*p*(p\/p**(-4\/13))\/p)))\/((p**14*p)\/p*p**(-4\/7)\/p) assuming p is positive.\nAnswer: p**(808\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44604 is divided by 697.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2\/11*j - 2\/11*j**3 + 4\/11*j**2 - 4\/11 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/52 in -10.6162, -1\/3, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 3918?\nAnswer: 31344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-7\/5))**(-2\/33) assuming c is positive.\nAnswer: c**(-34\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 7. Let i(d) = -3*d - 20. Let x be i(-6). Put 0, y, x in decreasing order.\nAnswer: y, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t**3 - 60*t**2 + 35*t + 201. Calculate p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v\/v**(-31))))))**(-3)\/(v\/v**(-2\/9))**(-28\/5) assuming v is positive.\nAnswer: v**(-4012\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 21 = -29*b, b = 709*m - 712*m + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:39 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 2 + 1 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.04, 3\/2, 0, 2.2, 0.4 in ascending order.\nAnswer: -1.04, 0, 0.4, 3\/2, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -5, 8 in decreasing order.\nAnswer: 8, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.108536, 1\/4, -1\/3 in descending order.\nAnswer: 1\/4, -0.108536, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 6. Let f = -2.05 - -0.05. Sort -4, f, v in decreasing order.\nAnswer: f, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4084*j = 4296*j + 85 + 1399 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101332561 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1287 + -663. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 4*n + (-3*n + 0*n + 2*n)*(1 - 4 + 4) - 1 + 1 - 2*n - 3*n - 2*n + 2*n)*(3*n + 2*n - 2*n)*(2 - 3 - 3)*(14 - 19 + 75).\nAnswer: 4200*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27492961 to the power of 1\/2, to the nearest integer?\nAnswer: 5243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 11*r + 11. Let a be i(-4). Solve 3*h = -0*h + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, 9\/2 in decreasing order.\nAnswer: 9\/2, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116 (base 7) in base 14?\nAnswer: 57d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 21*u - 20. Let x be z(20). Let t = -3.335 + 0.335. Which is the smallest value? (a) t (b) x (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-160)*(-70)\/4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*t - 105, -5*t + 15 = -0*t. Let m be (-21)\/(-3) - (7 + -4). Suppose -m*b - 8 = -x. Solve j = -j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 - 2*r. Let n be l(-2). Suppose n = -2*c + 4*c. Are -1\/2 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 - 8*v - 12. Let l be c(-6). Sort 5, l, -12 in ascending order.\nAnswer: -12, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + 8 + -12. Let o = -0.158 - -0.18. Let f = 4.022 - o. Which is the third biggest value? (a) 0 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3793.\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969486 divided by -161581.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -2\/9, -1, -0.0506, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4623, 4669, 4717, 4767, 4819, 4873, 4929?\nAnswer: 4987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -6. What is the lowest common multiple of v and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1153*o**3*t**2 - 4*o**3 - 2*t**2 + 6*t wrt t.\nAnswer: -2306*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-34))\/((-15)\/15)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q. Let h be i(1). Solve 5*f + 3*o = -16, f = 4*o + 2 + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.81 minus -11773420.6?\nAnswer: 11773689.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*o + 6*o - 174726 = 0, 4*z - 2*o - 116480 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046292832 rounded to six dps?\nAnswer: -0.000463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.036 - -0.077. Let r = g + -0.031. Which is the second biggest value? (a) r (b) 2\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-21)\/(-24) + -1). What is the second derivative of 30*g - 88*g - 21*g**4 - 18*g**f - 23*g**4 wrt g?\nAnswer: -744*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406984.\nAnswer: 2, 175873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/40 + 2\/5. Let x be 0\/(2\/(-2) - 1). Suppose -3*u - g - 5 = -x*g, 3*u + 13 = -5*g. Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q - 3 + 14*q - 16.\nAnswer: -q - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {w: 2, s: 1, q: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2093964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 3*u + 2. Suppose 2*v = -3*v. Let r be (7 - v) + -7 + 5. Suppose 17 = -r*c + 7. Give i(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*13\/(-104))\/((-6)\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36481*w - 36452*w - 85492. What is the smallest common multiple of 66 and w?\nAnswer: 8844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-9) + (-1)\/3. Let y(r) = -r. Let z be y(-1). Let w(o) = 0 + 2 - o + z - 1. Determine w(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2714028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/7, 13, -0.2, -2\/41, -36?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327620 or 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**5 + 2344*i**3 - 265744*i**2 - 2*i?\nAnswer: 480*i**2 + 14064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15856 + 6?\nAnswer: 1585c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1216) + -1) - (3*(-1 + sqrt(1216)))**2.\nAnswer: -10947 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**6 - 9*f**3 + 12*f**2 - f. Let q(t) = t**6 + t**3 + t**2. Let k(c) = -2*q(c) + z(c). What is the third derivative of k(a) wrt a?\nAnswer: -600*a**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllljjllllllljll. What is prob of sequence jljj?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -306587413.9 rounded to the nearest 100000?\nAnswer: -306600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 100*s**2 - 3*s. Let u(i) = -399*i**2 + 11*i. Let n(r) = 11*k(r) + 3*u(r). Let g(h) = 5*h**2. Determine g(n(t)).\nAnswer: 47045*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h**3 - 18*h**2 + 2*h - 29. Let k(s) = -5*s**3 - 8*s**2 + s - 15. Let w(f) = 9*k(f) - 4*z(f). Let y be ((3 - 1) + -3)*0. Give w(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:47 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o = -53*o - 28539. Do 3171 and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + a - a + (16130 + 9797 + 7950 + 17526 - 3710)*(4*a**3 - a**3 - a**3).\nAnswer: 95384*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -16*u + 1 - 37 + 0*u - 8 - u**2 + 82. Determine z(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 - 6*l + 142. Let k(b) = 3*b**2 + 2*b - 1. What is 3*k(j) + x(j)?\nAnswer: 4*j**2 + 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6943339 kilometers?\nAnswer: 694.3339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3. Let s(r) = -27*r - 195. Let j be s(-19). Let d = j + -319. Let b(t) = t**3 - 1. Determine d*b(w) + 3*l(w).\nAnswer: -4*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 8, a: 1, c: 1, h: 2, o: 2}. Give prob of sequence ao.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-3 + 2)*2. Sort 4, -2, d.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699188355 divided by 5179173\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 69, 3, -1\/4, -1\/43, -0.4?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -19 (base 15) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1)\/sqrt(8) + sqrt(12) + sqrt(96)\/sqrt(128))\/(sqrt(216) - ((sqrt(216) - sqrt(216)*-2 - sqrt(216))*6 + sqrt(216))) + -5.\nAnswer: -5 - sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2865*w + 96529 + 119707 = -716*w + 80158 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.599417 to 3 dps.\nAnswer: -1.599","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -169*f - 15321. Give z(-90).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2257183688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*m + 550 + 835 = 17*m. Let k be 0*(21\/9 + -2). Solve k = g - 0*g - m*s - 26, -3*s - 17 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/(-81)*(-105)\/350.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -187985, -187996, -188007, -188018?\n\"Answer: -11*s - 187974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 28 = 4*m. Let w be m\/(-4)*(-8 - 2). What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*s = -130, 140 = l - s - s. Let v be (4\/10)\/((-45)\/l)*-3. Solve -3*i - 2 = 2*j + 6, v*j - i = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 11*a**3 + 11 - 11.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 2. Suppose -3*c - 3*k + 240 = 2*c, 41 = c + u*k. Suppose 0 = 2*r, -o - 2*r = -0*r - c. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2302 (base 4) to base 15.\nAnswer: -bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 + 1062*g**2 + 9704*g + 8640 = 0.\nAnswer: -8, -1, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1234566701 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1771305, 1771291, 1771255, 1771185, 1771069, 1770895, 1770651, 1770325?\n\"Answer: -2*i**3 + i**2 - 3*i + 1771309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*26616\nAnswer: -1064.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3 + 3*u**2 - 2*u. Let l(n) be the second derivative of -n**4\/12 + n**3\/6 + 2*n + 37. Determine -2*l(k) - w(k).\nAnswer: 4*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -2.24\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1670460 divided by 151860.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 25 = -a, -4*j - 25*a = -27*a + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -67, -155, -315, -571, -947, -1467, -2155?\n\"Answer: -4*i**3 - 12*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -3, 5, 1, -20, 9 in descending order.\nAnswer: 96, 9, 5, 1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 13*r - 6*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away 13.4?\nAnswer: -13.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 + -422?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122967704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7833825 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.543 * -1049.\nAnswer: -569.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104280 = -2289*l - 21615 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97690136 and 0.4?\nAnswer: 39076054.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u - 2*u - u - 3*u**2 + 0*u - 3.\nAnswer: -3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 921?\nAnswer: -2\/921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((6 - 21) + (-2 - 2)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -1 - 29. Let t = 99 + p. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-3)\/(-3)) + 3. Suppose 2*h = -u*h + 12. Suppose o - 3*a + 518 - 502 = 0, -3*o - 5*a = -36. Sort h, 4, o in ascending order.\nAnswer: o, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + 11 - (-8 - 0). Suppose t = 2*c + 1. Let 6\/7*h + 2\/7 + 2\/7*h**c + 6\/7*h**2 = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 33456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1920 or 2036?\nAnswer: 2036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3*u**2 + 20*q**3 + 738*q**2*u + 2*q*u**2 + 881 wrt u.\nAnswer: 2*q**3*u + 738*q**2 + 4*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 8. Let x(t) = -2*t**3 + 81*t**2 - 30*t - 113. Calculate the remainder when x(40) is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*1*(-1)\/6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 12. Suppose -c = 3*t - 4*t. Suppose -a + 5*x = -3*a - 9, -4*a + 27 = -t*x. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1141*h**3 + 4 + 19*h**2 - 1142*h**3 + 264*h - 93*h**2 - 265*h to i*h + n*h**2 + k*h**3 + j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6568 and -1\/295112.\nAnswer: 242286952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282401 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + l**2 + 1 - 3*l**2)*(6*l + 561 - 457 - 3*l).\nAnswer: -6*l**3 - 208*l**2 + 6*l + 208","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8 + (0 - 21\/28). Let m(g) be the third derivative of 4*g**2 + 0*g**4 + 0*g**3 + i + 0*g + 1\/60*g**5. Let n(z) = z. Give n(m(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6772 is divided by 670?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(32))*2 + sqrt(8))\/(sqrt(12)\/sqrt(3)*1) - (5*sqrt(16)\/(2*sqrt(32)))**2.\nAnswer: -25\/8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2074080204.\nAnswer: 2, 3, 7, 19, 211, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 5 + (-9 + 1 - -7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 - 1735*b**2 - 5170*b - 3440 = 0.\nAnswer: -344, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4 (c) -86\/53 (d) 0.4 (e) -0.2 (f) -2\/9 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (186\/496)\/(18\/8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:57 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -111547 and -5.\nAnswer: -111552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30302032*a**3*n**3 - a**2*n**2 + 23522*a**2*n - 22*n**3 wrt a.\nAnswer: -181812192*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3809 - -3820) + (-1 + -4 - 1) - (-17 - -1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 811 - 1427. Let m = c + 616. What is the nearest to -1 in 0.1, -0.05, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 t, and 1 a when four letters picked without replacement from htwta.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -4)\/(0 - 1). Suppose j = v - 7*v. Let c(y) = y**2 + 5*y + 6. Let x be c(-4). Sort -5, x, v in increasing order.\nAnswer: -5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136\/245 - 4\/245. Let f be (-2)\/56 + (-1)\/4. Let l = y - f. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -34. Suppose 5*r = -a*f - 17096445 - 10903558, 22400005 = -4*r - 5*f. Round r to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 11*b**2 - 11*b - 10. Let d be p(-10). Let o be -3 + d + 1 - -42. What are the prime factors of 5*(-126)\/o*(-4 + 0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457764171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 + 684534*w\/5 - 39048899763\/5.\nAnswer: -3*(w - 114089)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/25 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h + 11. Let v(g) be the first derivative of 4*g**3\/3 - 5*g**2 - 71*g + 132. Let s(r) be the first derivative of v(r). What is 6*k(y) + 7*s(y)?\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -11, -7.4, -0.02, 4, -2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -2c6?\nAnswer: -2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 6449227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*a = 4, -12 = f - 53*a + 49*a. Solve 6 = -f*s + 2*y + 18, 0 = -3*s + y + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 374.97 - 377. Let x = z + 3. Let v = -0.9761 + x. Round v to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, g: 5, u: 3}. What is prob of sequence utgt?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 0)*(118*c**3 + 911*c**3 - 15129105*c**2 + 15129106*c**2)*(0 - 4 + 2) to the form i + g*c + b*c**2 + j*c**3 and give j.\nAnswer: -4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*a + 19 = 0, o + 2*o - 43 = -a. What is the smallest common multiple of o and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/175*5)\/((-3)\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c - 5*c = 8*c + 840 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p - 4. Suppose 0 = 3*m + 15 + 3. Let a(i) = 3*i - 2. Determine m*h(w) + 11*a(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 249085287 a multiple of 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/594 and 37\/144.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 17 - 37 = 0. Let g = 5 - b. Solve -5*y = -15 - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41866.73m in micrometers?\nAnswer: 41866730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -7, -1, 54, 6 in descending order.\nAnswer: 54, 6, 5, -1, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 5. Let r be u(0). Suppose -r*m - 6*b + 60 = -b, 0 = 4*m - 4*b - 16. Suppose m = -41*p + 45*p. Solve -w = -2*a - 5, 3*w - 15 = -p*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -f - s, 0 = -5*f - s + 10. Let u be (-2)\/(-3)*12\/1. Solve -2*y + f*p = -u, -5*p + 8 = y + 28 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4525240, -4525239, -4525238, -4525237, -4525236?\n\"Answer: t - 4525241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 3*h**2 + 5*h**2 - 2*h**2 + 3*h**2. Let k(i) = -3*i**2 + 48. What is m(k(f))?\nAnswer: 9*f**4 - 288*f**2 + 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -0.3, 16 in increasing order.\nAnswer: -30, -0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 202 + -74 + -137 - (12 - 1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 + 0.06. Let v = -11 - -13.4. Let t = v - -0.6. Which is the nearest to -2\/7? (a) t (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/24412 and 145\/444.\nAnswer: 2709732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1723*k + 1725*k - 3450*k - 1001.\nAnswer: -2*k - 1001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37366 and 714?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54168040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20047 (base 9) in base 10?\nAnswer: 13165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 52*m + 45*m - 149*m + 51*m + 26*g - 30*g, 12*g + 48 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*c - 22*c - 9*c + 184*c - 26216 = 0 for c.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-128) - (18\/(-16) + -3). Solve 2*z - 4*m = -0*z + 4, 0 = -4*m - i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1271012 and 2542024.\nAnswer: 2542024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2 (b) 2\/9 (c) -149\/3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3*p**2 - 3*p**2)*(0*p - 5*p + 4*p) + (-3*p**2 - 5*p**2 + 20*p**2)*(-8*p + 5*p - 3*p) + (p**3 + 3 - 3)*(2 - 2 + 2).\nAnswer: -69*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*3\/6 - 3. Let s be -4*(4 + 1*134\/(-32)). Let d be 3*(-1 + 1\/(-3)). What is the second biggest value in s, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 15 = 14*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (632\/4977)\/(8\/6). Which is the closest to 0? (a) -0.1 (b) -5 (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nolu when four letters picked without replacement from {d: 3, u: 2, o: 1, l: 4, n: 1, e: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -57*c - 37. Let w(j) = -85*j - 55. Let a(q) = 7*m(q) - 5*w(q). Differentiate a(k) with respect to k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/56 - 2927\/280. Calculate the common denominator of t and -55\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/21 and -65\/330978.\nAnswer: 2316846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -253 (base 16) to base 10\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -77. Let o = -107452 - -107481. Solve o = -f + g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 254.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*o**3 + 17*o + 73*o**3 + o**2 + 24 + 13*o - 46*o in the form a*o**2 + x*o**3 + m*o + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 772 - -a?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/12)\/(8\/(-12)). Let n be (6\/(-36))\/(15\/(-18)). What is the nearest to 1 in d, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1579 * -0.4\nAnswer: 631.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 93 and -0.01.\nAnswer: 92.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n = 17*n - 32 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*a - 7, -3*a - 9 = 3494*k - 3497*k + 18 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9440*g - 9440*g - 10*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) -0.3 (b) -5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 2*w**2 - 4*w - 6. Let q = 140 - 253. Let k = 111 + q. Let d be u(k). Let x(c) = -c - 1. What is x(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -351 + 390. Suppose 0 = 3*v - d - 47, -a = -55*v + 54*v + 5*d. Let s(k) = k**2 - 13*k - 17. Calculate s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 12*g - 17. Let y be c(-9). Solve 4 = y*z - 12*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*w = -220, -16*a + 12*w + 82 - 65 = 8*w - 91 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-4)*120\/70. Suppose q + 2*c - y = 5*c, -2 = c. Suppose -3*h + q*h + 12 = 0. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/39 and -49\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104.3 and 228.946.\nAnswer: -23879.0678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*w - m, 13*w - 25 = 8*w - m + 12 - 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18 - 18)*(-1)\/(-6)*2. Suppose 5*i = -t*i + 2725. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/2 in -5, -6, -1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4706\/169 + 2\/13. Let z be b*15*4\/(-16). Let a be 1 + -1 - (-7 + z + -5). What is the greatest common factor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6795\/(-302)*(3\/(-9))\/((-5)\/(-20))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 9, 2*p - 4*p + 2*r + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -58*s**4 - 232*s**3 - 740*s**2 - 488*s + 6. Let o(q) = 10*q**4 - q**3 + 2*q**2 - 1. Let c(d) = 6*o(d) + w(d). Factor c(x).\nAnswer: 2*x*(x - 122)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*u + 2*z = 1412*u - 5, -9 = -11*u + 4*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -161763 - -41?\nAnswer: -161722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 45*h + 88. What is c(20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 12, 44, 108, 216, 380, 612?\n\"Answer: 2*t**3 - 2*t**2 + 4*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -5)\/((-12)\/(-3)). Which is the nearest to -2? (a) z (b) -0.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19527*y**2 - 139*y**3 - 17719*y**2 + 37246*y**2.\nAnswer: -139*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216795930, -216795931, -216795932?\nAnswer: -216795933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -101121100002?\nAnswer: 101121022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -371410*s + 185707*s - 1836*s**2 + 630*s**5 + s**4 + 185703*s wrt s.\nAnswer: 37800*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (22 - 31)) + 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*90\/(-120).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 648, 764, 880, 996, 1112?\n\"Answer: 116*s + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2938956 take away 108.3?\nAnswer: 2938847.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 5*x**2 + x**2 + 1 + 6*x**2 to the form r*x + c + p*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 + -8639\/60. Let g(i) be the third derivative of f*i**5 + 0 + 5*i**2 + 0*i + 0*i**3 + 5\/24*i**4. Find the second derivative of g(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {l: 3, g: 1, b: 1, w: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24360 and 54913320.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2833*f - 6985 + 6985)*(4*f - 4*f + 2*f) to b*f + o + k*f**2 and give k.\nAnswer: -5666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 864455*x**2 - 33706140*x.\nAnswer: -5*x*(x + 39)*(x + 172852)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.37 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 13 = 18. Let t(z) = -z**2 + 8*z - 9. Let b be t(6). Sort b, -1, m in ascending order.\nAnswer: -1, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/16557 and 61\/9.\nAnswer: 49671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5130356 rounded to 1 dp?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.2 + 1. Let k = -89 + 50. Let b = k - s. Round b to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 2*v + 25 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104766 is divided by 25578?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14732350 and 0.008.\nAnswer: -14732349.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 19, -0.04, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071\/(-70) + (-180)\/(-600).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = p + 7. Let t be -1*(p - (1 + -2)). Let j(h) = 0 + 4*h**2 - h**t + 0 - 2 + h. Give j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 17*v**2 + 86*v + 232. Let h(g) = 8*g + 2. Let r be h(-5). Let o = 71 + r. What is the remainder when o is divided by x(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 120 = 13*a. Suppose -4*r - 4*d + a = 0, r - 2*d + 13 = 2*r. Suppose r*h - 16*h + 1476 = 0. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37, -3\/4, 22\/5, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*k + a**2 - a*k + 837006*a - 24090*k - 45 wrt a?\nAnswer: 4*a*k + 2*a - k + 837006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose k*j + 14 = r + 2*r, 5*j = -5. Suppose f - r = -0. Solve 3*c - 1 = 2*z + 7, 9 = f*c - z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trttirwtrfgtttttti. Give prob of picking 1 f and 1 w.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p = 18. Let o = p - -5. Calculate the remainder when 41 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b + 12. Let r be z(-3). Let h be (6\/r)\/(5\/(-25)). Let g(l) = -4*l**2 - l - 1. Calculate g(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385360 divided by 10?\nAnswer: -38536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l - 33*l - 8 = 0. Solve v = -l*d - 7, 2*d = 6*d - 3*v + 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/11)\/f**(-25)*f**(-4\/21)\/(f*f*f**(-28)*f*f) assuming f is positive.\nAnswer: f**(11107\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 576*g + 41472 = 0. Calculate g.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -8, -1\/83, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208630 + 208630 - j**3 - 11660*j + 11661*j.\nAnswer: -j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651350.\nAnswer: 2, 5, 7, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -2*d**7\/35 - d**6\/60 + 13*d**4\/24 - 5*d**3\/6 + 55*d**2. What is the second derivative of x(m) wrt m?\nAnswer: -144*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:52 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 8*u - 6. Let i(f) = -15*f - 41. Let c(w) = 4*w + 10. Let l(m) = u*i(m) - 9*c(m). Differentiate l(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 1\/5 (c) 19 (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 + 12)\/(5\/(-4560)). Suppose 9*i - 12159 = -l. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086700 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from {q: 1, y: 4, o: 1, j: 6, g: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from vooowyvwvwvvyovvv?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4797\nAnswer: -1\/4797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -46*c**2 + 238*c - 49. Give k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/35 (b) 43 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (106\/(-108))\/(-8 + 9 + -6) and -103\/144?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -11*o + 15. Let s = -1 + -1. Sort 2, o, s.\nAnswer: o, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f - 13. Let q be i(9). Suppose -l = -3*a - 0*l - 23, 5*a + q = -l. Let w = a + 26. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23157 (base 8) in base 2?\nAnswer: 10011001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2243151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201318, 201313, 201334, 201405, 201550, 201793, 202158?\nAnswer: 202669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*c + a + 806, 4*c - 651 = 3*a. Let b be c\/(-39) - 12\/(-3). Suppose -5*n - 28 = -3. Put b, n, -0.2 in ascending order.\nAnswer: n, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -6, 52?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19437?\nAnswer: 3, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {s: 1, v: 1, z: 1, t: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k + 5\/12*k**4 + 9*k**2 + 0*k**3 + 0. Let f(r) = r. Determine f(w(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose 23 = n*b + 5*a, -3*b = 2*b + 5*a - 20. Let l be (3 + -6 - -5)\/(-6). Is l less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14358222?\nAnswer: 2, 3, 263, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027966368 rounded to 7 decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -17929.\nAnswer: -35858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269555\/60752 + -2\/3797. Let d(l) = -l**2 + 9*l - 9. Let s be d(8). Find the common denominator of (472\/32 + 4 + s)\/4 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*l + 1602591 = 7648851 - 178134. Is l a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 3)*46\/(-5). Suppose -2*z = 3*b - 105, -14 = -2*b + 2*z + f. What is the remainder when b is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/15*-29615 + -18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3\/4 + 30*x**2 + 300*x = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:48 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*b**3 - 2*b - 3690 - 2*b**2 + 0*b**2 + 2*b - 4*b.\nAnswer: -36*b**3 - 2*b**2 - 4*b - 3690","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5502)\/(-693) - (0 + 5 + (-6500)\/1375).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4))**49\/(((x\/x**(2\/5))\/x)\/x)**(2\/7))\/((x*x**1)**(6\/19)\/((x\/x**(-2))\/x)**(6\/11)) assuming x is positive.\nAnswer: x**(-47613\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 0.45. Let z = -0.29 - 0.01. What is the nearest to 1\/4 in -5, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3555, 3554, 3553, 3552, 3551?\n\"Answer: -a + 3556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111*-0.0518.\nAnswer: 5.7498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 36 (b) 4 (c) -3 (d) 426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22040 divided by -8?\nAnswer: -2755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8) - ((-3196)\/(-8))\/(-17)) + -5 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 2*r**2 + r**2 + 0*r**2 - 4*r**2 + 942.\nAnswer: r**2 + 942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2057))*-1 + ((sqrt(187) + 2*sqrt(187)*-2)\/sqrt(11))**2)*-2.\nAnswer: -310 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l - 343298 = -235*l - 230*l. What is the remainder when 2661 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(2*c**4 - 2*c**2 + c + 2*c**2) + 2*c**4 + 0*c**4 - 5*c**4.\nAnswer: -5*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 12 - 25 + 3*n**2 - n**2.\nAnswer: 2*n**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) + -5)*-2)**2 - ((-3*sqrt(2736) - sqrt(2736))**2 + sqrt(19) + -4))*2.\nAnswer: -77616 - 642*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 72 = 6*p. Calculate the remainder when p is divided by 7\/(1 + (-1 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 3117, -2\/7, -2\/95, -2\/3 in decreasing order.\nAnswer: 3117, -2\/95, -2\/7, -2\/3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2276 and 512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(208) + sqrt(208).\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 359*p**3 + 2*p**2 + 78*p**3 + 862428 + 114*p**3 - 856086 wrt p.\nAnswer: 1653*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 676 - 957. Let s = -197 - h. Let q = s - 84.28. What is q rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b2021cb - -4?\nAnswer: -1b2021c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 - 308*g + 308*g + g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35808 = -6544*d + 4306*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1046 in 0.4, 5, -3, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 - 0.3. What is the nearest to n in 0.4, -5, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 62*g**2 - 64*g - 69. Calculate i(-63).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 103, 349, 809, 1549?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 27*d**3 + 21*d**2 - 72*d - 11. Is m(33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*d + 682*d + 1051 = -237 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -55. Let c = t + 47. Let v = -0.1 + 0.12. What is the third biggest value in c, v, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 2*b + 1. Let z(f) = -5*f**2 - 7181*f - 1. What is 2*c(x) + z(x)?\nAnswer: x**2 - 7185*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 802*v. Let f(p) be the third derivative of -p**5\/30 + 452*p**2. Calculate f(t(x)).\nAnswer: -1286408*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11579697 is divided by 2986.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 224723 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: What is (20\/385)\/(-5*2\/(-35))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3857\/2 + -1917. Let d = -10.4 - -10. What is the third biggest value in -2, d, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.54 - 44. Which is the third smallest value? (a) -0.2 (b) -1\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Let y(d) = f*d - 1 - d - 4*d - d. What is y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 5*c + 11. Let m be p(5). Suppose -268 = 7*i - m*i. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3549, -3550, -3551?\nAnswer: -3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180822893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 12*m - 4. Let y be p(-8). Suppose -y*v + 20*v + 1600 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(2\/3))\/h)*h)**5 assuming h is positive.\nAnswer: h**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -20*a - 10 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3509 + 3508.99993086. Round v to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15896, -15887, -15866, -15827, -15764, -15671?\n\"Answer: r**3 + 2*r - 15899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*x - 5 = -26, 0 = -y + 2*x + 6. Solve -y*l - 6*p + 32 = -2*p, 5*l + 2*p = 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1327 = 18*d - 221. What is the remainder when d is divided by 52?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1203369690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41143*x**5 - 4*x**4 - 8679*x + 66.\nAnswer: 822860*x**3 - 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -3 (c) -0.1679 (d) -2 (e) -1507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211021 (base 3) to base 11.\nAnswer: -2105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363910?\nAnswer: 2, 5, 151, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207778145218*m**2 - 755344116*m - 118098 = 0.\nAnswer: -243\/777103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-1950))\/(57\/(-9690)*-102).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 234712*a**2 + 56158080*a + 3366028800.\nAnswer: 4*(a + 120)**2*(a + 58438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -2 (b) -0.4 (c) -23 (d) 230 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.22 + 19.98. Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 16 = 15*h - 4*j, h = 2*j + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 3*o**2)*(-32005*o - 11748*o**2 + 32005*o).\nAnswer: 35244*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3214237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -16*d + 142. Determine h(14).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/21)\/(1\/(-7)). Sort 3, 5, t in ascending order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2325 and 2625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 + 7) - -23\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 10*y - 182. Put y, -1, 4 in ascending order.\nAnswer: y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.13 - 1.590857.\nAnswer: -2.720857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**3 + 6*s - 3. Let n(g) = -11*g**3 - 13*g + 7. Let m be -1*(-4)\/8*-8. Determine m*n(l) - 9*a(l).\nAnswer: -l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-1)*(-22)\/33*9\/(-12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:57 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5226*v + 200 = 5221*v + 5*a, -11*v + 12*v - 30 = -a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 10 + 40 = 3*j, -2*j = -5*x + 15. What is the tens digit of 40 + (j - (3 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.99291 + 104. Round d to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24040 - 47709 = -50*r - 4599. Calculate the highest common factor of r and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 2, s: 5, z: 5, n: 1, j: 1}. What is prob of picking 1 n, 1 j, and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -184278 (base 9) in base 12?\nAnswer: -56452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 293\/377306 or 0?\nAnswer: 293\/377306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-232))\/((-336)\/(-5376))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -154753 plus 553445?\nAnswer: 398692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:31 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 0*k - 3*k)*(-1899*k + 5080*k + 3 - 11 + 8) to p*k**2 + c + z*k and give p.\nAnswer: -9543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 714635623 divided by 53\nAnswer: 13483691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211\/10 + 123\/5. Which is the fourth biggest value? (a) 1.6 (b) z (c) -2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*p + z - 3244, 5*p = z + 4055. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t + 40*t = 36*t - 4225 for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/45030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1004 - -80321\/80. Sort b, 3, -0.5 in decreasing order.\nAnswer: 3, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15287 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/65*(-579810)\/20. Let w = -892 - g. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:55 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8308 = -30*l + 15482. Let q = l - 325. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Let o(d) be the third derivative of d**5\/60 + d**4\/8 + d**3\/6 + 3*d**2. Let c(v) be the first derivative of o(v). Calculate c(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36.4? (a) 6164 (b) -10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*6 + -2*(sqrt(209)*-2 - sqrt(209)))\/(6*sqrt(110)\/(sqrt(10) - sqrt(160))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 7, t: 1, h: 4, l: 2}. What is prob of picking 1 l, 1 x, and 2 z?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -115f?\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = -2*c - 1, 2*f = -c - 35. Put 4, 2, 3, f in decreasing order.\nAnswer: 4, 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/10 - -1\/2. Let s(h) = -2*h - 15. Let p be s(-10). Suppose -z = p*k + 18, 5*k = z + 3*z - 28. Which is the closest to 0? (a) -3 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p + 2*t - 4 = 0, -p - 3 = -t. Solve -p*h - 5 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 530*h - 454?\nAnswer: 530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3483\/860)\/(-81))\/(((-696)\/(-288))\/((-4)\/(-6)))?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*y - 2*i + 210, 0 = 3*i - 9. Suppose 10*x - 7*x - y = 0. Suppose 3*l + 10 = 5*l. Solve -5*g - 3*t = 2*t - 30, x = l*g - 4*t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3018*v + 1150*v - 4172*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34099055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + j = -10, -f + 4 = -4*j + 3*j. Suppose 4*m - f*m = -142. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/7 + 11390720*f\/7 - 11390716\/7.\nAnswer: -4*(f - 2847679)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -392449 divided by 1\nAnswer: -392449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-four fifths of a millimeter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 105?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n - 14*n**2 - 6*n**2.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2. Let r(d) = 3*d**2 + 2. Let a(i) = 7*i**2 + 5. Suppose l - 10 = -4*p, 3*l - 14 = -l - 3*p. Let t(q) = l*a(q) - 5*r(q). What is u(t(w))?\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**2 + 7*s + 0*s - 2*s.\nAnswer: 26*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**3*a**(-1\/7))**(2\/43)\/(((((a*(a*a**(1\/4))\/a)\/a)\/a)\/a*a)**(-27)*(a\/(a*a*a**(-2\/3))*a)**(-34)) assuming a is positive.\nAnswer: a**(8369\/3612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.281 (b) 31 (c) -0.4 (d) 8 (e) 0.4 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 3*v + 3*v - 22*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7157552 and 28271?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 5*f + 17\/3*f**3 + 11 - 31\/2*f**2. Let h(c) = 16*c**2 - 32*c + 4. Let s(n) = 3*h(n) - 4*k(n). Suppose s(x) = 0. Calculate x.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 4, o: 1, g: 1, b: 1, e: 1}. Give prob of picking 1 d, 1 b, and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 25803\/55229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l. Suppose -2*m + 1 = -11. Suppose l = m*x - 2*x. Which is the third smallest value? (a) x (b) 2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-396)\/(-18) + 45\/7 + 2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2*p + 8. Let q be t(0). Let d(i) = -i**2 + 4*i + 42. Let v be d(q). Let a = 20 + 0. What is the greatest common factor of v and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z - 65736 = -69*z. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4766223?\nAnswer: 3, 7, 11, 47, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 + 4*n - 5. Let z be c(4). Let u = z + -7. Suppose 2*m + 2*p = -2*p + 106, 5*p = u*m - 225. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 20*h**2 - 8265*h - 6213. Give l(414).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*p + 94*n + 47*n = -286, 0 = -2*p + 4*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**9*j**(-5)*j*j**(-4)*j*j*j**7*j assuming j is positive.\nAnswer: j**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 587\/7*q**2 - 1\/7*q**3 - 86435\/7*q + 85849\/7.\nAnswer: -(q - 293)**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 382154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 8:19 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832502?\nAnswer: 2, 11, 79, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:13 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**5 + 0*g**5 - g**5 - 12*g**5 - 4*g**5 - 8*g**5 + (3*g**4 - 3*g**4 - g**5)*(0 + 2 + 0).\nAnswer: -22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 1 j when three letters picked without replacement from fjwugii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4005023114?\nAnswer: 2, 31, 2741, 23567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 477.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/2 + 33147005*r**2\/2 + 54936180449995*r\/2 - 54936213597005\/2.\nAnswer: 5*(r - 1)*(r + 3314701)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 + 26 = 0. Let k(a) = 5*a - 2. Let h(s) = 15*s - 6. Let i(o) = w*k(o) + 4*h(o). Let t be i(2). Solve 4*n + 0*n + t = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/1*(-1)\/1. Let j = -39\/4 - l. Find the common denominator of j and ((-2)\/8)\/((-8)\/46).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/75)\/((-336)\/(-1170)) + (-552)\/1472\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 77*z + 427. Is b(-37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 38*y**3 - 7*y**2 + 94*y + 231. Determine b(-2).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(110) + 2*sqrt(110)*4 - sqrt(110))\/(sqrt(20)\/sqrt(8)).\nAnswer: -3 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202112210 + 2?\nAnswer: -10202112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 9*n - 16. Let s be m(5). Suppose -5*x - o = o - 3, x = 3*o + s. Let z be (128\/(-42) - x) + (-4)\/14. Which is greater: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-87)*40\/(-32)*((-1596)\/400 - -4)\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**2 - z**2 + 17*z**2 + (2*z - 5*z - 6*z)*(-14 + 53*z + 14) to the form p*z**2 + k + i*z and give p.\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/306 and 79\/18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 480*g**2. Let v(q) = -70184*q**2. Determine v(k(o)).\nAnswer: -16170393600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 832 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5920048 and 2.\nAnswer: 5920050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 20, 27, 18, -13, -72?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 26 - 6 = 0. Suppose 0*l - 15 = -5*l. Put m, l, -4 in increasing order.\nAnswer: m, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 4*f**2 - 7 - 3*f - 6 - 2*f. Let s(j) = -5*j**3 + 32*j - 33. Let u be s(1). List the prime factors of h(u).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -k + 4, -65 = 16*k - 12*k - 5*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 2*x**3\/3 - 2*x. Suppose -5*u + 0*f - 4*f = -7, -u - 4*f - 5 = 0. Let w be u\/(-15) + (-33)\/(-15). Calculate t(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10337 - -17488. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26807 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 476. Let p be o(15). Solve -430 + p = 2*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8584*i*l**4 + 104575*i*l**2 wrt l?\nAnswer: 206016*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25722 (b) -0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/6*(-12)\/14. Suppose -2*u - u + 6 = 0, l*u + 437 = 5*i. Calculate the remainder when i is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 25*z + 66. Let n be h(22). Put 3, -1, n, 4 in ascending order.\nAnswer: -1, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0 + 0*r**3 + 1\/20*r**4 - 3\/10*r**2 - 8*r. Factor w(k).\nAnswer: 3*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37577 divided by 30?\nAnswer: 37577\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 1 - 1 + ((-3 + 1 + 4)*(3 + 1 - 3) + 0 + 2 + 1)*(4*o + 2 - 2).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -7 + (3 - 1) + 78 + 6584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + -0.48. Let g = -0.33 - -0.03. Which is the third smallest value? (a) 2\/5 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -402*o + 395*o - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7077 + 0.6197. Sort 0.2, -3, y.\nAnswer: -3, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Suppose b*k + 69 = -201. Let y = k - -80. Calculate the greatest common divisor of y and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1217406 by -6.\nAnswer: 202901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*b = 382*b - 1391040. What is the least common multiple of 1728 and b?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(2) + -5 + -4).\nAnswer: -3*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (56\/(-21))\/(1 - (-4)\/(-12)). Calculate the remainder when ((-5824)\/9)\/l - 12\/(-54) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 281419238 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 42 = 0, -2*q - 52 + 156 = -2*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + -0.19. Let g = -7545 + 7545.4. Put g, 5, y, 1\/9 in decreasing order.\nAnswer: 5, g, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109015 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -894850, -894851, -894860, -894883, -894926, -894995?\n\"Answer: -x**3 + 2*x**2 - 894851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 1\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - sqrt(75)*-1) + -1.\nAnswer: -1 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(6\/10 - (-12)\/30). Let l(d) = -5*d. What is l(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/18 + -1\/180. Let u(r) be the second derivative of -r - 1\/42*r**7 - f*r**5 + 0*r**3 + 0 + 0*r**4 + 1\/15*r**6 + 0*r**2. Factor u(w).\nAnswer: -w**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - 3*a + 8 = 0, 3*v + 8 = -5*a. Suppose v*s + 48 = 2*w + 2*w, w + 3*s = -8. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 7*o**2 - 3*o - 3. Let c = -211 - -217. Calculate the remainder when v(c) is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 58*i + 72. Let v be (-41)\/(-6) - (-15)\/(-18). What is the units digit of g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.8 - 26.44. Let p = 3.9 + f. Let j = p + -3.26. Which is the second biggest value? (a) j (b) -1\/4 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 88.7783mm?\nAnswer: 88778.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-330)\/(-45) + (2 - 10) and -16\/193.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -983, -1943, -2899, -3851, -4799?\n\"Answer: 2*l**2 - 966*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 16. Let i be u(8). Let f = -12 - i. What is the third biggest value in f, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/50 and 7\/1420?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11926696211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 35 and -0.3785 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -13 (b) -15 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h - 94. Let s be i(10). Suppose 2*m + 700 - 248 = 0. Let d = s - m. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 4*z**2 - z + 4. Let c be m(4). Let d = c - -2. Let v = d + 8. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13015.2 + -13015. What is the biggest value in 6, -26, o, -4, -2\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 13 = -13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46430, -46429, -46426, -46421?\nAnswer: -46414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2012 - -2017. Which is smaller: m or -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86113556 to 2 decimal places.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.569 - 0.569. Let z be (-2 - 1) + -4 + 426\/60. Which is the closest to 0? (a) t (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 3:29 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 0.017.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 423, 630, 831, 1026, 1215, 1398?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.929 - -0.029. Let t = -3 - d. Let g = -59\/141 + 4\/47. What is the nearest to 1 in g, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 5*h - 180, 3*x + 4*h = 104. Suppose 5*a + x = 10. Let m(p) = 5*p - 6 + p**2 - 8*p**2 + p**2 + 7*p**2. Determine m(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -507, -930, -1265, -1512, -1671?\n\"Answer: 44*w**2 - 555*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*1 - (62\/(-20) + 0). Suppose 2*p = -5*t - 81, -5*p = t + 2*t + 174. Let w be 2\/11 + 72\/p. Is j > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 20. Let x(c) = 5. Let f(k) = q(k) + 3*x(k). Let r(m) be the second derivative of -2*m + 5\/6*m**3 + 7*m**2 + 0. Calculate 11*f(g) + 4*r(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90892755 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 - 189 + 189 - 44*v**2 + 21*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0.02. Let r be 2*47\/(-66) - 1\/(-11). What is the third biggest value in r, 0.3, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2516.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 23240?\nAnswer: 23244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/((-10)\/2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose b + 18550 = 5*b + 18470. Suppose -r*o = 5*c - b, o + 2*o + 3*c = 12. Solve 3*x - 4*x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101062502 is divided by 757.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86450 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-30)*6*6\/345\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/27 and -31\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 34760*s**2 + 34758*s**2 - 8 - 39*s)*(2*s + 2*s + 2*s) in the form j*s**3 + q + m*s + i*s**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -41*s**2. Let c(r) be the first derivative of 3*r**2\/2 + 235. What is k(c(o))?\nAnswer: -369*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - v**2 + 2*v**2)*(-1 + v - v + 2*v**2).\nAnswer: 10*v**4 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 57304.\nAnswer: 229216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 8) + (7 - 9 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1082, -2.4, -5, 2, 4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 224, 320, 396, 446, 464, 444?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16*z**3 - z - 1. Let m be q(-2). Let y = 267\/2 - m. Determine u so that 5\/2*u**4 + y*u**3 - 5\/2*u**2 - 7\/2*u**5 + 0 - u = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*o + 867 = 0, -5*o - 401 = -8*g + 6*g. Let y(v) = -4*v**3 + 4*v**2 + 4*v + 3. What is the remainder when g is divided by y(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/195)\/((6174\/315)\/(-49))\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 105807 = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/4 - (-9)\/(-6). Solve -t*y - 32 = 4*i, i - 2*i - 12 = 2*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(6\/23)*r)\/(r*r*r**40) assuming r is positive.\nAnswer: r**(-914\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4026? (a) 0.4 (b) 0.07 (c) -0.03 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/(308*(-155)\/(-130200))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.55 + -1.55. What is the second smallest value in w, 4\/5, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*i**2)*(-8*i + 9*i - 4*i - 3*i**2).\nAnswer: 9*i**4 + 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -233 - -233. Solve p = 4*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 117104\/(-39) + (-16)\/12. Let o = l - -6421\/2. Is o smaller than 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1489887*t + 16. Let f be x(6). Let a = -4039306 - f. Round a to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 14*q + 4. Suppose -i = 6*i + 77. Is 9 a factor of p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*-0.08.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15873942 and 1889755?\nAnswer: 79369710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13388 is divided by 1912.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9185 or -9186?\nAnswer: -9185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.025 + -180.025. Let n = 187 + p. What is the closest to 0.1 in n, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31152322 (base 7) to base 11\nAnswer: -1528995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 37 + 161*q + 45 + 156 + 1. Is z(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.39 + -1.07. Let s = 0.6721 + f. What is s rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -331, -3053, -7621, -14041, -22319, -32461, -44473?\n\"Answer: -f**3 - 917*f**2 + 36*f + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 z when three letters picked without replacement from zyybypbzpyzhybzzy?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13083626 a multiple of 778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 5*w + 3. Let t(b) = 4*b**2 + 11*b + 6. Calculate 9*o(f) - 4*t(f).\nAnswer: 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-3 - (sqrt(48)\/sqrt(2)*-6 - sqrt(24) - sqrt(24)))\/((-6*sqrt(968) - sqrt(968))*-3).\nAnswer: -4*sqrt(3)\/231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 2, b: 4, i: 5}. Give prob of sequence wwby.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 10*g = 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 706133399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224463, 222043, 218017, 212391, 205171?\nAnswer: 196363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5379, 5370, 5361?\nAnswer: 5352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + -16 + 26 + -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/31 in 32, 555, 3, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17*p**3 + 2*p**2 - 30*p + 54. Let l(h) = 16*h**3 - 2*h**2 + 20*h - 54. What is 3*l(z) + 2*m(z)?\nAnswer: 14*z**3 - 2*z**2 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (51\/34)\/(1 - 1991\/1994)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvzz when four letters picked without replacement from {y: 5, z: 7, v: 5, w: 1}.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 27 = 33, -3*w - 3*r = 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -133. Is (-154485)\/180*-1*v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 7:14 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1699603133 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 14. Let n be i(-6). What is the derivative of -373*d**2 + d**4 - 1 + 353*d**2 - n wrt d?\nAnswer: 4*d**3 - 40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1934756040 to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185\/651 - -1\/651. Which is the closest to o? (a) 4 (b) -5 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*l + 967*l - 1921*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*1*sqrt(65))\/(6*sqrt(125)))**2 + -2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**3 + 4*w**2 + 4*w + 4. Let j(i) = -i**3 - i**2 - i - 1. Determine -4*j(l) - n(l).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*r - 12, 0 = -2*q + 4*r - r - 10. Suppose -4*h = 2*d, 0 = 3*d - 0*d. Let m(z) = 4*z + h - 4 + 1. Let u(x) = -x + 1. What is q*m(c) + 2*u(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*x + 155, -4*r + 39 = 2*x + 1. Suppose 59*m = x*m + 15990. Does 534 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 4, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -19. Solve -j*u - 2 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5049 + 5072.3. Let t = 155163.29806 - 155140. Let p = c - t. What is p rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6 - 0)*12. Suppose -2*c - 2*c = -h. Sort c, -2, -1\/5 in increasing order.\nAnswer: -2, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*l + 269*l + 2 - 16662*l**2 - 3*l**3.\nAnswer: -3*l**3 - 16662*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -68. Let g be (y*-2580 - (2 + -1)) + 1. Round g to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*5*(sqrt(11) + 5)*-4)**2 - ((sqrt(891) - (sqrt(891) - 1*sqrt(891))*2) + 0)**2) + 0.\nAnswer: 64000*sqrt(11) + 229509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1 - 3*o**2 + 3*o**2 + 2 - 8*o**2 - 11*o + o**3. Let h be n(9). Let u be 6\/10 + 9\/h. Solve u = 5*p - 5 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25578718*k**4*x**2 - 40458941*x**2 wrt k.\nAnswer: 102314872*k**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - g = -16, -26 = 2*c + c + 4*g. Suppose 4*j = -l + 16, -30 = -3*l - 5*j + 11. Let k = c + l. What are 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 -450 divided by 25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 4, 192 in ascending order.\nAnswer: -5, 0, 4, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 0*i**2 + i**2)*(5*i - 6 + 6) - 3*i**3 - 53*i**3 - 7*i**3.\nAnswer: -78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-59 + 37) - (1 - (60 + -6 - -1))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 12 = -3*t. Let g be (-5)\/(4 + (t - 1)). Let i = 5 + -3. Solve 0 = 5*j - g*k + 15, -3*j + 2 - 6 = -i*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 17551713?\nAnswer: -4\/17551713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txxh when four letters picked without replacement from {t: 5, h: 2, x: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4564649, -4564728, -4564805, -4564880?\n\"Answer: i**2 - 82*i - 4564568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 11508.\nAnswer: 195636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25150, 25252, 25360, 25480, 25618, 25780?\nAnswer: 25972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v**3 - 15*v**2 + 13*v + 2. Let k(i) = -7*i**3 + 7*i**2 - 6*i - 1. Give 13*k(w) + 6*s(w).\nAnswer: -w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1*(-9)\/18. Suppose 0 = -4*m + 31 + b. Calculate the remainder when 21 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 32*r. Let m(d) = 12*d - 7. Let v(g) = -3*g + 2. Let h(z) = 2*m(z) + 7*v(z). What is p(h(k))?\nAnswer: 9*k**2 - 96*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84599131 to the nearest integer?\nAnswer: 9198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*v**4 + 456 - 3*v**3 + 0*v**3 + 216*v**4 with respect to v.\nAnswer: 44*v**3 - 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4007640?\nAnswer: 2, 3, 5, 7, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12002 - -3220?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q - 4*q)*(189*q**2 - 230*q**2 - 1 + 2) + 8*q - 8*q + 4*q**3 + 0 + 0 - 6*q**3 in the form p*q + r*q**3 + s + n*q**2 and give r.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26513?\nAnswer: 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-135)*-3)\/((-2)\/2).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from astaarttttttrd. What is prob of sequence rsat?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1) + 1 + 14. Suppose -39*z + 5 = -38*z. Calculate the highest common factor of z and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 3, o: 1, c: 1}. What is prob of picking 1 o and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*i + 3*x, -2*i - 16 = -0*i - 4*x. Let y = -4154 + 4153.9. Which is the second smallest value? (a) y (b) i (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) -2 (c) 0.466 (d) 2961\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 113, 144, 197, 278, 393?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*q + 8 = 0, 0*m = -m + 4*q - 7. Suppose 4*h = 67 + 1. Suppose -47*i + 32 = -24 - 38. Sort i, h, m in decreasing order.\nAnswer: h, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1302114 + -4031?\nAnswer: -1310145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -0.47?\nAnswer: -25.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:32 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 324.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*a + 20 = -4*r, -5*a = r + 20. Suppose -k + 460 = -2*i, 5*k - 2278 = -r*k - i. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1155*j - 715 = 1154*j. Is j a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/20 + k**4\/2 - 4*k**3\/3 + 3*k**2\/2 + 10*k. Let z be f(3). Let q(w) = w**2 - 9*w + 7. What is q(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.28498 - -13222.71502. Which is bigger: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.089359 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 16. Let q(z) = -3*z + 16. Let m(s) = 3*q(s) + 2*r(s). Let n be m(6). Solve 5*y - 10 = n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v - 102 = 58*v - 93*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4060 + -4055. Suppose 5*x = -5*a + 35, -2*x - a + 0*a + 17 = 0. Solve -5*k + s = 5*d, 3*k + 3 = d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258700000 = 17*d - 4*d. What is d rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.83 - 1.16. Let x = k + 0.23. Let y be 50\/(-75) + (-17)\/12*-1. Which is the closest to x? (a) 2 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - 3164334?\nAnswer: -3164303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*z - z. Suppose 2*v = 37*v - 1785. Suppose v = -20*d - 29. Put 1, d, 4, z in decreasing order.\nAnswer: 4, 1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/18)\/(47\/141)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 23*b**2 + 4*b + 4. Let p(n) = 68*n**2 + 11*n + 13. Let u(c) = -8*d(c) + 3*p(c). Let l(z) = 10*z**2 + z + 3. Let r(j) = 7*l(j) - 3*u(j). Factor r(t).\nAnswer: 2*t*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18769, 19557, 20345, 21133, 21921, 22709?\n\"Answer: 788*h + 17981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 0, -4*g - r + 12 = -4*r. Calculate the least common multiple of g and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 57.3. Let c = 3.49 - w. Let u = c + -0.23. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**5 + 1315*b**4 - 29540*b**3 + 79340*b**2 - 51120*b = 0.\nAnswer: -284, 0, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/4 - 3089*k**3\/4 + 3141963*k**2\/4 - 1058720355*k\/4 + 2817460800 = 0. What is k?\nAnswer: 11, 768, 1155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60333*c**3*y**4 + c**3 + 2*c**2*y + 2370*c*y wrt y?\nAnswer: 723996*c**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 17315 + 17339 = -g, -57 = -5*p + g for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c + 36. Suppose -10*t = -c*t + 10. Solve 10 = -t*m - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k, 6*i - i - 3*k = 131. Suppose 227 = y + 3*r, 2*y = 3*r + 2*r + 443. Calculate the highest common divisor of i and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15734878, 31469771, 47204662, 62939551, 78674438, 94409323, 110144206?\nAnswer: 125879087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 55 - -15) + (6 - 27) + 19?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3249*p**2 + 19*p + 36. Is 73 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h**2. Let r(g) be the second derivative of g**6\/360 - 2*g**4\/3 - 19*g. Let v(m) be the third derivative of r(m). Give a(v(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -61.0298 - -3\nAnswer: -58.0298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479237, 479060, 478883, 478706, 478529?\nAnswer: 478352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3 + 3)*(-3 + 3 + v) + (8*v**2 - 21 + 21)*(0*v + 2*v + 4*v).\nAnswer: 47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttomtotttfotoooot?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(110)*-4)\/sqrt(10) + sqrt(11))**2 + sqrt(11) + 5 + (-1 + (1*sqrt(44))\/sqrt(4) + 0)**2.\nAnswer: -sqrt(11) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - -9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.51007 millilitres to litres.\nAnswer: 0.06451007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 1\/2 (c) -0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3\/2 - 932186*p**2 - 51079955*p\/2 + 15659574 = 0.\nAnswer: -372847, -28, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2556 - 1606. Let b = 4737 - t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, x: 3, i: 2, j: 8}. What is prob of sequence ijj?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/203 at most -45\/4757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -127, -145, -161, -175, -187, -197?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 3*v + 213*v**3 + 4*v.\nAnswer: 213*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*h + 438*h - 711145105 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777 is divided by 201.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from nngenqqqxngnfqn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252)*-2 + sqrt(252) + sqrt(252))\/sqrt(9))**2 - (-6*(-1 + sqrt(28)) + -5).\nAnswer: 12*sqrt(7) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(25\/2)*665\/1064?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-48) - -3)\/(19\/2)*(-19928)\/(-22419).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + 309. Suppose 9*o = 8*o + b. Calculate the remainder when o is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11770*z. Let i(g) = g. Give q(i(t)).\nAnswer: -11770*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.02637 (b) -1.3 (c) 0.3 (d) 5 (e) 0.5 (f) -11 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*l**5 + 24*l**5 + 51*l**5 - 637*l + 53*l**5 wrt l.\nAnswer: 3240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 108\/975211, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -1 (b) -22.3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3 - d**2 - 2*d - 14. Let s = -330 - -332. Determine c(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*c*j**3 - 13*c*j**2 + 13*c + 4*j**3 - j**2 + 16*j wrt j?\nAnswer: 162*c*j - 26*c + 24*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 729*z**2 + 43173*z - 136161.\nAnswer: 3*(z - 3)*(z + 123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -5, 1\/12, 26 in descending order.\nAnswer: 30, 26, 1\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.02, 3\/2, 48 in decreasing order.\nAnswer: 48, 3\/2, 0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 4 + 4)*(2 - 8 - 417)*(-3*p + 3*p + p)*(-1 + 1 + 2*p) in the form l*p + b + o*p**2 and give o.\nAnswer: 23688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 5*d + 6. Calculate o(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040263 rounded to five dps?\nAnswer: -0.00403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 2*q + 2, -38375*z - q - 8 = -38371*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9337 or -9336?\nAnswer: -9337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76 + 47 - 59*u + 4 - 24 wrt u.\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 1\/3*d**4 + 0*d**5 - 4*d**2 + 0 + 0*d + 0*d**3 + 1\/24*d**6. Find the second derivative of v(f) wrt f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 10*w + 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67576 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 + 2 - (23 + -24 - 21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyc when three letters picked without replacement from cycyyyy?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 1. Let j(i) = i**2 + 2*i + 2. Let y = -27 - -19. Let q = 9 + y. Determine q*v(k) + j(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 1 (c) 0.1 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834 is divided by 109.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 1 + 3 + (6 - -22) + -19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-622)\/88 - -7) + -2 + (-27)\/(-12). Which is the second smallest value? (a) h (b) -110 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {x: 3, i: 9, p: 7}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 783.346 * -0.1072\nAnswer: -83.9746912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35785 + -35823. Let j = 0.6 - 0.7. Which is the third biggest value? (a) f (b) -3\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 988 - 983. Solve 3*j - 3*l + w = -8*l, j - 4*l - 21 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 3*i**2 + 6*i - 4. Let u be o(4). Let k = -113 + 1015\/9. Sort -0.1, k, u in decreasing order.\nAnswer: u, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 4*w + 2. Suppose -1 - 9 = -5*v. Let a be o(v). Suppose -p + 3 = i, 0 = -a*p - 2*p - 8. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/3))**10*(p\/(p\/(((p**(-5\/3)\/p*p)\/p)\/p)*p))\/(p**(-3\/8)*p) assuming p is positive.\nAnswer: p**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*t + 9*s - 61495, 20495 = t + 2*s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v**4 - 40 + 0*v**3 + 51\/5*v**5 - 1\/2*v**2 - 2*v. Find the second derivative of m(t) wrt t.\nAnswer: 612*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1092)\/(-455)*1105\/(-68)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 366, 2984, 10120, 24042, 47018?\n\"Answer: 378*s**3 - 9*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -4 + -9 + 3 + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22310, 6\/7, -1\/4, 1\/4 in increasing order.\nAnswer: -22310, -1\/4, 1\/4, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*-29\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/65*12*((-184)\/(-32))\/23?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 455237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -0.25. Let j = -26 - -29. Which is the smallest value? (a) j (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:20 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6*s. Let t be s + (0 - 6\/2). Let g be (-6)\/(5 + t) + 2. Put -2, -4, g in decreasing order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1509288, -3018582, -4527876?\n\"Answer: -1509294*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 6)*(8 - 2). Let f(j) = j**2 + 7*j + 9. Let x be f(w). Suppose -x*d = 165 - 1332. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121220320 (base 4) in base 16?\nAnswer: 19a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6793 + -12.7856. Round w to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11581.\nAnswer: 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3 - 226*p**2 - 660*p = 0 for p.\nAnswer: -110, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 561 times -4\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - w = -8, -2*r - 4*w + 14 = -0. Suppose m - 2*x - 8 = 0, 3*m + 5*x - r*x + 8 = 0. Suppose 2*b + 1 - 23 = m. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9844 - 29531\/3. Let d(c) be the second derivative of 1\/2*c**2 + 7\/12*c**4 + 0 - 36*c + 1\/20*c**5 - t*c**3. Determine d(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.006 (b) 19 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**22\/(n**21*n))\/(n*n*n**(-12))**(20\/3) assuming n is positive.\nAnswer: n**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*p**2 + 23 + 19 - 10*p**3 - 42 wrt p.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*g - 640*g - 34 = 6*d, -d = -3*g + 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - -11 - (5 + -7)) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 7*z)*(9*z**2 - z**2 - 2*z**2) - 3*z**3 + 9*z**3 + 2*z**3 + 2*z**3 + 2*z**3 - 3*z**3 + 86*z - 86*z - 6*z**3.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/120 - p**5\/12 + p**4\/4 - p**3 - p**2. Let c be y(4). Calculate the greatest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 69*p**2 - 5*p + 3. Is m(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 675.\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 0 + 3 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 3 + (2 - 4) - -4) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n**3 + 4*n**2 - 4*n + 4. Let b(g) = 48*g**3 - 112*g**3 + 2 + 3 - 5*g + 5*g**2 + 52*g**3. Give 4*b(k) - 5*i(k).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3\/3 + 6*z**2 - 13*z - 72. Determine o, given that t(o) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*a, y - a = 10 - 5. Suppose 31*f - 43 = -14*f + 47. Solve t = 1, -3*d + y*t = f - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.02, -0.18, 10\/13 in ascending order.\nAnswer: -0.5, -0.18, -0.02, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssssslssssxsllsxslsl?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*i - 4384 + 4381, -5*i = 5*v + 35 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-150))\/(8*(-7)\/84*-19)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 366*k - 1084. Calculate s(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163 divided by -28303.\nAnswer: 163\/28303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-51)\/4)\/((-2)\/(-16)). Let f be r\/(-4)*2\/3. Suppose 0 = -4*s - 0*s + 272. What is the greatest common factor of f and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*g + 7. Let q = 433 + -431. Calculate the remainder when q is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmmmmmmmmsms. What is prob of picking 1 m and 2 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 697*z**2 + 95*z - 96. What are the prime factors of h(1)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 95*c - 758. Let h be w(8). Solve g + 7 = 2*d + 1, h*d = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6903 and 4992975?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = -5*n + 4*n, -5*n - w = -21. Suppose 11*v + n*x + 121 = 14*v, -4*x - 4 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 2*k)*(3*k - 5*k - 3*k) + (2*k - 3 + 3)*(2 + k - 2) + (-4*k**2 + 2*k**2 - 5*k**2)*(-6 + 6 + 4) + 3*k - 3*k - k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 2*z + 6, 2*z = -s + 10. Let u = 11 + -5. Calculate the remainder when u is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 0*f + 2*f)*(2 + 2 - 2)*(126 - 188*f - 126) - 2*f**2 + 0*f**2 - f**2 - f**2 + 4*f**2 - f**2 + (0*f + 4*f - 2*f)*(-f + 3*f + 0*f) - 2*f**2 - 1 + 1.\nAnswer: 1129*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6*f + 292 = -2*f, -3*f = -6. Suppose -2*h = -3*x - 77, a - 41 = -4*x + 3*h. Let y = x + 78. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/3 + 8*i**4\/3 - 8*i**3\/3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -104 - 4485?\nAnswer: -4589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -99, -208, -305, -396, -487, -584, -693?\n\"Answer: -d**3 + 12*d**2 - 138*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -240635, -481271, -721907?\n\"Answer: -240636*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 2. Let h be d(1). Suppose -4*c - 2*k = -10, 0 = 5*c - 2*k + 1 + h. Suppose t + c*f - 19 = -f, -t + 25 = 3*f. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 3, m: 9}. Give prob of picking 1 m and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -3*b**4\/4 + b**3\/3 - 30*b. What is the second derivative of y(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (2 - 1) - ((744 - 291) + -403).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292092 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - -14 - (3 + -11 + -11 + 13)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*k - 963*k + 1736 = -250*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226504207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -123.435 times 15.58\nAnswer: -1923.1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feqfeqqeefqe. Give prob of sequence qee.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1)\/((-25)\/75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/48 and 1 - (11625\/126)\/25?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -4. Suppose 2*v + 3*f = 130, 4*v + q*f - 252 = f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46.3, 4, -5118 in decreasing order.\nAnswer: 46.3, 4, -5118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 57\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 11) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*5\/(-30)*2*3\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.13842638 take away 7.8?\nAnswer: -9.93842638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 25*b**2 - 79*b - 1273. What is q(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57876 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 33 + 15*t**2 + 9 + 30*t**2 - 20*t**2.\nAnswer: 25*t**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 658980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1396272 by -1.\nAnswer: -1396272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.7. Let i(z) = z**3 - 7*z**2 - z + 3. Let w be i(7). Let m be (-2)\/4 - (-3)\/4. Which is the closest to 0? (a) w (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27532 divided by 6.\nAnswer: 13766\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -12 + 66\/(-11) + 21460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -733, -1178, -1631?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 times -0.11?\nAnswer: -0.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 147034*p*s**2 - 381924*s**2 wrt p?\nAnswer: 147034*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 1 - 1 - n**2 + 1 + 1. Let v be i(0). Let o(f) = f**3 - 2*f**2 - 1. Determine o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i + 501 = -36*i - 4*j, 5*i - j - 489 = 0. What is the remainder when 586 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59300651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 8. What is j(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -372074 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -323001 (base 4) in base 13?\nAnswer: -1947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 288 = -25*b, -64 + 7 = 5*b + l for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 10010?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1115*-0.18\nAnswer: 200.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -663694, -1327360, -1991002, -2654620?\n\"Answer: 12*l**2 - 663702*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1158153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 72031200 rounded to the nearest 100000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3 - (0 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*u + 3*c, 4*u = -2*c - 10 + 48. Suppose u*q - 3*q - 12 = 0. Let p(l) = -l + 2. Let x(a) = a - 2. Determine q*x(z) + 4*p(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4357*t**2 - 2. Let y(k) = 30484*k**2 - 14. What is -15*n(v) + 2*y(v)?\nAnswer: -4387*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-24) + (-68)\/(-16) + -4. Let t(f) be the first derivative of -v*f**3 + 3 + 1\/2*f**4 + 2\/5*f**5 - f**2 + 0*f. Factor t(g).\nAnswer: 2*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - 36)*1\/(-2) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {a: 4, f: 2, r: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 301794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 113, 30, -233, -736, -1539, -2702?\nAnswer: -4285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 7:00 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -s + 5, -908*u - 10 = -909*u - s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/8 - 4)\/(1\/(-83)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, -4, -2291460, -20, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 1 + (-13 + (115 - 15) - -20)\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 89*o**2 - 2*o - 2. List the prime factors of l(-1).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j**4 - 2*j**5 - 455*j**2 - 4*j**4 - 2*j**4 + 552*j**2 - 43*j wrt j.\nAnswer: -40*j**3 + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 222*t**3 + 4*t. Let h(w) = 56387*w**3 + 1017*w. Give 4*h(y) - 1017*m(y).\nAnswer: -226*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 94.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 10, a: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18747105 bigger than 18747103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1136, -1137, -1138, -1139, -1140, -1141?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 238 = i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-14))\/((19\/(-38))\/(21\/(-24))).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g**2 + g. Let r(a) = a + 14. Let x(z) = 6*z + 1. Let b be x(-2). Let j be r(b). Is u(j) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 7:17 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 542.978 - 543. Sort y, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5804 is divided by 930?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10456?\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 + 1c1?\nAnswer: 19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10000100001101011110111?\nAnswer: -10000100001101011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 382513838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 138\/77, -5, 5?\nAnswer: 138\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4650 - 4546. What is the second biggest value in z, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d**2 + 4*d - 1. Give c(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86951943 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 + 2*g + 14. Let l = 23 - 29. Let f be c(l). Solve -b = -f*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -523 - -779. What is the greatest common factor of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*p**3 - 3*p + 42 wrt p.\nAnswer: -72*p**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1575.35 - -1575. Let z = 54.5 + -55. Sort t, -4, z.\nAnswer: -4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/395 and -2\/869?\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0 + 0 + 3*q. Let p(y) = -639*y**2 - 9*y - 9. Let h(o) = 712*o**2 + 10*o + 10. Let m(w) = 9*h(w) + 10*p(w). Calculate m(a(k)).\nAnswer: 162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 2) + 44 + 4. Let x = -11 + 15. Suppose -w - x*w = -d. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/198 and 31\/55.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236856329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -371, -759, -1137, -1499, -1839?\n\"Answer: x**3 - x**2 - 392*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 42791.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 741, 2\/19, -90, 2\/5.\nAnswer: -90, 2\/19, 2\/5, 741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1807*y**2 + 36*y + 199. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(497\/(-568))\/((-1)\/(-62)). What is the fifth smallest value in p, -0.5, -0.4, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8882 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 26*y**2 + 30*y + 3. Let p(a) = -9*a**2 - 10*a - 1. Calculate -17*p(s) - 6*w(s).\nAnswer: -3*s**2 - 10*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -4741?\nAnswer: -4741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*r = -8, -5 + 9 = 4*n - 3*r. What is the least common multiple of ((-6)\/n)\/(6\/(-8)) and (35 + -3)*(-2)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 26*t + 467. Suppose -305 = 32*r - 625. What is p(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 + 5*t + 2. Let j(i) = 0*i - i + 2*i + 3*i + 1. Let d be j(-1). Is u(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/23)*t)*t*t\/(t\/t**0)*t)**19 assuming t is positive.\nAnswer: t**(836\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204*h*s**2 + h*s - 390465079*h + 1975*s wrt s.\nAnswer: 408*h*s + h + 1975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35143 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64915226.\nAnswer: 2, 2309, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeejeeejjeeeejeejje. What is prob of sequence eje?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -19230 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 9. Let w be q(11). Suppose 0 = w*b + 4*i + 4, -i - 2*i = b + 1. What is the closest to -2\/15 in 2, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 188*d - 6072.\nAnswer: 4*(d - 22)*(d + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1016 + 2027 - 1016)*(6*o**4 + 4*o - 4*o - 2*o**5).\nAnswer: 10*o**5 - 30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 258*h - 262*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 28*z**2 + 44*z + 267. Calculate t(-15).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 9000*i**4 + 14658563850*i**3 + 15916561636728735*i**2\/2 + 11521699383733044849999*i\/8 + 3840552313206933185613\/4 = 0.\nAnswer: -10858191\/20, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.22767 * 0.2\nAnswer: 0.045534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuii when four letters picked without replacement from iiui.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.03, 463\/5, -2\/5, 0, -65 in ascending order.\nAnswer: -65, -3, -2\/5, 0, 0.03, 463\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.4 + -44.4. Let d = m - -43.8. What is the third biggest value in -0.1, 13, d, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1470105 divided by 13.\nAnswer: 113085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) 13573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -88, -74, -44, 8, 88, 202, 356?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 863416.98ms?\nAnswer: 0.23983805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/9 - 13*n**4\/9 + 6*n**3 - 94*n**2\/9 + 73*n\/9 - 7\/3.\nAnswer: (n - 7)*(n - 3)*(n - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 16232\nAnswer: -11\/16232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -116*m - 10. Let s(k) = 23*k + 2. Determine -16*s(g) - 3*w(g).\nAnswer: -20*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 + 8 = 0. Let g be 8\/o*171\/6. Let u = -2 + g. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189376000 to the nearest 1000000.\nAnswer: 189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-6)\/7*-3*(-112)\/(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 less than 41823761?\nAnswer: 41823627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 2. Suppose -44*r + 9 = -167. Let q(x) = 1. Suppose d + 5 = 6*d. Suppose 0 = f + d. Give f*i(t) + r*q(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19886295 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1119*g**2 + 92*g + 624. Is 48 a factor of n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643 + 1317\/2. What is the common denominator of y and (-1)\/(-32 - 4)*28122\/(-860)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 0*r**2 + 8*r - 22\/5*r**5 + 0*r**4 - 15 + 0*r**3. What is the first derivative of w(g) wrt g?\nAnswer: -88*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**5 - 182418*j**2 - 50945*j + 53?\nAnswer: -260*j**3 - 364836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13145*i**3*r**3 - 3*i**3 + i**2 + 19*i - 448*r**3 - 66466 wrt r?\nAnswer: -39435*i**3*r**2 - 1344*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00505944255 rounded to five dps?\nAnswer: -0.00506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-420))\/((-114)\/133).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -228700 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200359 and 9441.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101011101110 (base 2) in base 12?\nAnswer: 16266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 5100202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s**2 + 27*s**2 - 2*s**2.\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = 459. Let a = -83 - r. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 312 and 230841092.\nAnswer: 230841404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = 22*v + 5*u + 13, -5*v = 5*u + 5. Let p(g) = -2*g - 16. Let t be p(-6). Put 5, 3, t, v in decreasing order.\nAnswer: 5, 3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -126*d - 2. Let y(h) = h**2 - 22*h + 4. Give u(y(g)).\nAnswer: -126*g**2 + 2772*g - 506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1813439 to the power of 1\/2, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110826 and 1046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h**2 - 4*h**2 + 0*h)*(h - 2*h + 4*h).\nAnswer: -12*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 624504250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 5*i + 25, -1031 + 1034 = -i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4671 = -b, 2*c = -3*b - 1010 - 1315. Suppose 2*v + 4*w + 3048 = -2*v, -5*w = -4*v - 3012. Let j = v - c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70499 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.5907642 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (2 + sqrt(320) + 0))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4635824 and 31\/968.\nAnswer: 560934704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49831149\/280 - -177968. Let m = -1\/70 - c. Let f = -1 - 0. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**6\/120 + 69*u**5\/20 - 3*u**4\/8 + 17*u**3\/3 - 662*u**2. Find the second derivative of v(a) wrt a.\nAnswer: 6*a + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3299758 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v + 45. Let f be d(5). Suppose -4*c + 14*g + 770 = 9*g, -c = -f*g - 200. Calculate the greatest common factor of 60 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 642, -5, 11 in decreasing order.\nAnswer: 642, 11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:30 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 668689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62837845 to the nearest integer?\nAnswer: 7927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -64, 11, -6133 in descending order.\nAnswer: 11, -4, -64, -6133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + 4*k**3 + 3*k**3)*(-47 + 69 - 70 - 13) to the form t*k**3 + d*k**2 + i*k + s and give t.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 2 - (-3 + -2). Sort 4, l, -5, -17 in ascending order.\nAnswer: -17, -5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89746635 a multiple of 1837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18386922 is divided by 1414377?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 3*u + 4. Let i be o(-4). Suppose 5*l - 5 = -i. Suppose -t - 4*t - x = -17, t + x = l. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.391 * 0.4\nAnswer: -0.5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -5, 4\/167, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Let r = 1 + -2. Which is the closest to r? (a) m (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 119*t**6\/40 - 691*t**3\/6 + 1040*t**2. Differentiate p(i) wrt i.\nAnswer: 1071*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -186208 or -186242?\nAnswer: -186208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(z - z + z) + (-3 + 3 - 2*z)*(-3 + 6 - 2) + z - 1 + 1 + (1 + 3 - 2)*(0*z + 2*z - z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.58 - 0.42. Let r = i + 17.6. What is the third smallest value in r, -9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-320)*(-59)\/(-3186)*-6?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -0.67, 10, -3\/2, -2\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:22 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 695841 - 1207431. Round o to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26155031717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(2*b - 3*b - b - 3).\nAnswer: 10*b + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 21*h**2 - 5*h**2 + 2*h + 7 - 8*h**2 - 10*h**2 - h**3. Determine q(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -24. Suppose 1 = -2*f + g. Suppose 2*x - 6*x = -f. Solve x*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16878 - -7356. Find the common denominator of -21\/20 and v\/5152*(-4)\/(-6).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o - 41. Let i be v(-5). Put i, 2, -51 in ascending order.\nAnswer: -51, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -363.92. Let b = j - -235. What is b rounded to one decimal place?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q + 2*q + 0*q)*(3 - 4 + 0) + 2*q - 739 + 739)*(2*q - 4 + 4).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1580 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.3, 0.26 in descending order.\nAnswer: 0.26, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/3 + 562*o**2\/3 - 11960*o - 78648 = 0. Calculate o.\nAnswer: -6, 113, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (225\/(-600))\/(14\/(-16))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 11) to base 2.\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50c172 (base 15) in base 9?\nAnswer: -7188308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8853566 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370 - 227. Let p = b + -76. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(47\/(-6) - -8). Let j(r) = 3*r + 3. What is j(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 0 + 3)*(-4*r + 13*r + 6*r + 2).\nAnswer: -15*r**2 + 43*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4a8784 (base 14) to base 7\nAnswer: 30515224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(2 - (0 - -1)). Let c be ((-6)\/33 + (-312)\/(-22))*-7. Let p = c - -97. Put o, p, -4, 4 in ascending order.\nAnswer: -4, o, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 151650, 303294, 454938, 606582, 758226, 909870?\n\"Answer: 151644*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 47*g + 7*g**4 - 5*g**4 + 47*g + 2 to y*g + o*g**2 + j*g**3 + n*g**4 + v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 2*b**4 + b**3 + 4*b**4 - 2*b**3 - 5*b + 6*b + 2*b**3 in the form j*b**4 + z*b**2 + q + m*b + n*b**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 18870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 47. Let d = k + 19.912. What is d rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/5)*p\/((p*p**(-8))\/p))**(-41) assuming p is positive.\nAnswer: p**(-1722\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83.499996313 - -83.5. What is n rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224578 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37\/3*z**3 + 4*z**2 + z**4 + 0*z + 0.\nAnswer: z**2*(z - 12)*(3*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -1 + 5 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 33750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/68*-6*(-4)\/(-12).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 8*n + 2380. Let k = -646 - n. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 2012112100?\nAnswer: -2012112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -99 - (11 + 16).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*(sqrt(2548) - -2*sqrt(2548)))\/(sqrt(256) - (sqrt(256) - (6*sqrt(256)*1 - sqrt(256)))))**2.\nAnswer: 21*sqrt(13) + 8233\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-351)\/(-39) - (5 - -1). Solve 4*l + 2*u + 14 = 0, a*l - 4*u - 3 = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.587943 kilometers to micrometers.\nAnswer: 6587943000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000802376 to seven decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, -1\/3, 5, -0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 8*j)*(0 + 4 - 2) + 0*j + 3*j - j)*(-j + 3*j - 4*j)*((0 - 3 + 5)*(16*j + 45*j + 18*j) - 2*j - 2*j - 2*j).\nAnswer: -5472*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/175?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -29. Let z be (-21)\/(-9) + y\/9 - -3. Suppose -z*c + 2986 = -3979. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/4698135 or 1?\nAnswer: 14\/4698135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + ((-15)\/(-25))\/(11\/(-55))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 16*n + 8. Give i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 15*i = 14*i + 31, -y + 26 = 4*i. Suppose -16*a + 10*a = 0. Put a, y, 4 in increasing order.\nAnswer: a, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2204, -4763, -7678, -10949, -14576?\n\"Answer: -178*l**2 - 2025*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*q**2 - 35*p*q + 362*p + 44503471*q**2 + 88 wrt q?\nAnswer: 2*p + 89006942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 1 - 1 + (d - d - d)*(2 - 2 - 2) + 13 - 13 + 42*d + d + d - d in the form k*d + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:38 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**4*n*n*n\/n**(-6))\/((n*n**(1\/3)*n)\/(n**(-2\/9)*n)) assuming n is positive.\nAnswer: n**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 2*l**2 - 2*l**2 + (-l + l + 2*l)*(2*l + 3*l - 3*l) + 2 - 2 - l**2 - 496*l**2 - 127*l**2 - 105*l**2 to the form u*l + n*l**2 + x and give n.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 134.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 62, 183, 352, 569, 834?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -90270, -1, 4 in increasing order.\nAnswer: -90270, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1318203 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2, 2*y + 2*d - 14 = d. Suppose -8*t + 3*t - 10 = 0. Which is the closest to y? (a) t (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 - (-9438)\/(-8). Let n = m + 5878\/5. Find the common denominator of -65\/3 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 12) to base 7\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*l - 2*l - 47 = 0, 3*l - 23 = -4*k. Let w(i) = i**3 - 9*i**2 + 7*i + 10. Let t be w(k). Suppose 1 = m + t. Is m at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*a - 93*a + 3*t + 3, 2*t = 4*a + 4. Let m(k) = 2*k - 6. Let f(p) = 1. Give a*m(u) - 4*f(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -204, -1868.\nAnswer: -1868, -204, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -72 + -8 - 14.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210112 (base 5) in base 16?\nAnswer: -d216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**2 - 6. Let a(i) = -44*i - 14. Let r(k) = -13*k - 4. Let n(b) = 4*a(b) - 14*r(b). What is x(n(q))?\nAnswer: 216*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 465 - 464.2. What is the second biggest value in -0.2, f, -3, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 + 151. Suppose 3*y = w - 13. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1527*x + 88824 = -1843*x + 106150 - 243116 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 0*q**3 + q - 46 - q**2 - 3*q**3 - 5 + 3 in the form l*q + v*q**3 + p + w*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -618, -1119, -1686, -2325, -3042?\nAnswer: -3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v + x, -7*v - 5*x - 16 = -3*v. Suppose 10*w - 9 = 7*w. Let o be (-2)\/(2\/(-5)) - w. Put 3, -5, v, o in increasing order.\nAnswer: -5, v, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -5, 5, -5\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (10 + (31 - 66))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w - 90*w - 27 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -6. Let u(h) = 2*h + 8*h - h**3 - i*h**2 + 3 - 1. Let l be u(-10). Solve 2*o - q = -o - 14, 0 = 4*o - l*q + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**2 - 45*v**2 - 44*v**2 + 335*v**2 - 41*v**2 - 159*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 + 0*n**2 + 8*n - 7*n + 6*n**2 - 5 - 5*n**2 + 3 to z + r*n**2 + h*n**3 + w*n and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/5))**(-2\/55) assuming h is positive.\nAnswer: h**(-8\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551 = 540*b - 399*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 k when three letters picked without replacement from ettlezkzw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154, -87, 36, 215?\n\"Answer: 28*t**2 - 17*t - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r. Let y(f) be the third derivative of 0*f**4 + 6*f**2 + 7*f + 0 + 0*f**3 + 1\/60*f**5. What is h(y(k))?\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 + -173. Suppose 24 = k*y + 12. Let r(c) = 5*c + 3. What is the smallest common multiple of r(3) and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose -2*r - 2*r = x. Let q(z) = -z**2 + r - 3 + 3. Let a(d) = 3*d**2. Give a(q(h)).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -3.04 (c) 1\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 92 + 88 + 106 = 0 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011149 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 11755 = 12052 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.7 - 0.7. Let l = y + -6.6. What is the closest to 4 in 0.5, 0.2, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483*0.52\nAnswer: 251.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.1. Let k = t + -0.2. Let x = 3 - k. Put x, 2\/11, 1 in ascending order.\nAnswer: 2\/11, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n = -38*n - 42*n - 0*n + 180 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1403208 millilitres?\nAnswer: 0.0001403208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 276000 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x + 10. Let m(f) = -13*f + 8. Let w(b) = -5*m(b) + 4*v(b). Let j(i) = i. Give w(j(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6 + 7 + t**2 - 5*t - 5. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/sqrt(28))**2*-5 + -1)*3.\nAnswer: -267\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 54. Let h = -19 - p. Let a = 67.9568 + h. What is a rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14521.\nAnswer: 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:24 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjnjmnjjn. What is prob of sequence nm?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) 3 (c) -4 (d) 2.3 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1798, 1820, 1856, 1906, 1970, 2048?\nAnswer: 2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -542 - -504. What is the tens digit of 4\/s + 28130\/95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*v = -18, 4*u + v + 17 = 2*v. Let h be ((-18)\/u)\/(12\/(-18400)). What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45.2003 * -2\nAnswer: 90.4006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 6315.158178 and 0.43.\nAnswer: 6315.588178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 + k**2 - 1. Let l be t(-1). Suppose -v - 99 = -l*z - 0*v, 3*z = -3*v + 45. Let w = 19 - z. Solve -u + 3 = -w*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*d - 400, 4*p = 2*d + 382 - 44. Suppose -2*u + 2*h = u - p, -3*u - 3*h + 102 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 28 - 10 = 4*u, 2*u + 2 = -5*y. Let c(m) be the first derivative of 0*m**2 + 0*m**3 - 5\/4*m**u - 4 - 2*m. What is the derivative of c(o) wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695321.\nAnswer: 11, 63211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243051304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 24. Suppose -n*u + u + 92 = 0. Calculate the remainder when u is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 6431840765 - 6431840765 + 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j + 5*z - 17940, -3*j + 2*z = -10784. Let a = j - 1725. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/120 + i**5\/12 + 3*i**3\/2 - 52*i**2 - 4*i. Give l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016799 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236 - 1583. Let b = l + 78159\/58. Calculate the common denominator of b and 29\/8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + 1*-8. Let d(p) = -p**2 + p - 1. Let j(g) = g**3 + 2*g + 2. Let b(i) = 5*d(i) - j(i). Give b(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/3432*-30)\/((-95)\/(-76))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o + 31*o - 4275. Calculate the highest common divisor of o and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c - 12. Let s(u) be the second derivative of u**4\/12 - u**3\/2 - u**2 - 13*u. What are the prime factors of s(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.9 (b) 10 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9361460 is divided by 3120485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -59, -87, -115, -143, -171?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/11 - 558*j**2\/11 - 4876*j\/11 - 4320\/11 = 0.\nAnswer: -270, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -6 + -14 + 33\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(3\/69) - -1. Suppose -r + 5*r = i. Let f(k) = k**2 - 7*k + 4. Let x be f(r). Which is the smallest value? (a) x (b) -2\/15 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 7*r**2 + 8*r - 8. Let g be y(6). Let u(n) = -3*n**2 + 3*n**2 + 1 + n**2 + 3*n. Let p be u(-4). Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 543\/(-60) + 10 + 1\/(-4). Let i = q - 1\/2. Is 1.59 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-80)*(28 - 56) + (15 - 19).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57717060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 6*n - 249. Let c = 2 - -4. Suppose 5*l = 2*q + 3*l - c, 0 = 5*q + 4*l - n. Solve -5*x + b = -14, 4*b = 4*x - 3 - q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2573105 (base 8) to base 11\nAnswer: -450826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = -3*m + 68. Let f(k) = -k**3 + 3*k**2 + 7*k - 6. Calculate f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/10 - 4\/(-10). Let b = -9 - -10. What is the smallest value in r, b, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 267*x**2 + 1319*x + 227. Determine f(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1220.94 - -1211. Let d = -112 + 122. Let k = x + d. What is the closest to 0.2 in 2\/7, 2, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208)\/(sqrt(64)*-2) + (sqrt(7488) + 0)*-2 + sqrt(7488))**2.\nAnswer: 291*sqrt(13)\/2 + 122461\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 813302.7 hours?\nAnswer: 4841.0875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 2440 = -10*x - 4*o, 3*x - 4*o - 1464 = 0. What is the highest common divisor of x and 1159?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycycssccysyys. What is prob of sequence scsy?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90393*i**2*w**4 - 24*i**2 + 2*i*w**4 + 5*w wrt w?\nAnswer: 1084716*i**2*w**2 + 24*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i**4 - 720*i**3 + 258*i**2 + 408*i + 81 = 0. Calculate i.\nAnswer: -27, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 7:02 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27655, 27647, 27639, 27631, 27623, 27615?\nAnswer: 27607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {u: 2, a: 7, f: 1, z: 2, k: 4}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6829485.\nAnswer: 3, 5, 13, 35023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -35 + (-6 - -7 - -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - z = -3*f - 7, 4*f = -2*z + 2. Sort 1, -9, f, 2\/3 in increasing order.\nAnswer: -9, 2\/3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -320\/1491 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = -38 - 7. Let u = 1 + -1. What is the nearest to u in m, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323 - 431. Is -111 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*b - 7*b. Solve 0 = b*s - 3*u - 2, -4 = 2*s - 0*u - 4*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -7272?\nAnswer: 7305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12699*n**2 + n + 30184 wrt n?\nAnswer: 25398*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(1*(-3)\/21). Let l be (42\/d)\/((-2)\/70). Let u = l - 26. What is the remainder when 61 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/5)*b*b**(2\/37))**(1\/2) assuming b is positive.\nAnswer: b**(42\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 7*v - 5. Let p(s) = -s**2 - 7*s - 4. Let o(u) = 3*p(u) - 2*w(u). Give o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/7, 1\/3, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3705 + -3.4705. Which is the fourth smallest value? (a) 1\/6 (b) -9 (c) -0.013 (d) -2 (e) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-5) - 1)\/((-16)\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/5 in -1\/12, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llpasdspllp. Give prob of sequence spd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1316*l**2*w**3 + 4*l**2*w**2*x + 86*l**2*w - 2*l*w**3 - l*w - 33*w**3*x + 6*w**2*x + 43*w**2 - w wrt l?\nAnswer: 2632*w**3 + 8*w**2*x + 172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11195310 by 2995.\nAnswer: -3738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 7:20 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 - d + 7. Let o be p(0). What is the second derivative of -43*n**3 - o*n**4 + 43*n**3 - 6*n wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 99*x**2 - 733*x - 894. Determine t(106).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -7.6. Let h = 4.5 - 5.1. Let g = m + h. What is the closest to 1\/6 in 0.5, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 17*x**4 + 3*x**3 + 3*x**2 + 16*x. Let j(f) = -35*f**4 - 7*f**3 - 7*f**2 - 32*f. Let c(s) = 7*d(s) + 3*j(s). Find the second derivative of c(k) wrt k.\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -2, -124, 3 in descending order.\nAnswer: 4, 3, -2, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*y + 18 - 87*y + y**2 + 180*y)*(-3*y + 4*y - 3*y)*(15 - 15 - 8*y).\nAnswer: 16*y**4 - 16*y**3 + 288*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - -42. Let v = 0 - x. Suppose 5*f = 5*j + 40, -4*f + 5*j - 3 = -v. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2433, -4852, -7255, -9642, -12013?\n\"Answer: 8*g**2 - 2443*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*2 + 308\/(-7). Let i = v + 37. Let x = i - -183. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00938 - 43.414157\nAnswer: -43.423537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -132 (b) 125 (c) -307\/7 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 - 6.5. Put -9, k, -4 in ascending order.\nAnswer: -9, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2. Let u(z) = -z**3 + 9*z**2 + 2*z - 15. Let m be u(9). Suppose -2*x = m*q - 97 - 88, -4*x - 85 = -q. Let f(h) = -q - h + 32 + 33. Give l(f(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 3*g + 10 - 39, 2*g = -z + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = r - 4*t, -5*t + 13 = -29*r + 223 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84815619311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 45, 12 in descending order.\nAnswer: 45, 12, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-15))\/(c*c**(2\/39)\/c))\/((c*c**(1\/7))\/(c\/((c**(-2)\/c)\/c))) assuming c is positive.\nAnswer: c**(-2783\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/260*5 + -10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.418005 kilograms?\nAnswer: 7418005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/2)\/(3702\/1851)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 29, 31?\n\"Answer: 2*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = -1465. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 72206376?\nAnswer: 72206376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 168 + 456 = 0. Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2448 and -53\/552.\nAnswer: 56304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 10:59 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 2*t**2 - 4*t - 4 + 4*t. Let x(v) be the third derivative of -v**3\/6 - v**2. Let f(r) = -4*x(r) + y(r). Find the second derivative of f(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 - 187. Suppose 8*x = 3*x - u. Let q be ((-2)\/4)\/(4\/x). Let s(p) = -2*p + 1. What is s(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50604871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*i + 8*i + 23 = 0, -2*p = -2*i - 10. Let f = 1.69 - 1.79. What is the nearest to -1\/3 in p, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f + 94*f + 4*f**3 + 5 - f**3 - 6 + 9.\nAnswer: 3*f**3 + 127*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + -46 - -25) + -18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*m - 45 = 0, 2*k - 4*m - 2 = 4*k. Let b = k + 16. Let f(u) = -u**2 + b*u - u + 3 - 2. What is f(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*x**3 - 134*x**3 - 136*x**3 - 162*x**3 - 143*x**3 - 137*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031915089 to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let i(h) = 6*h - 14. Let a(q) = -2*q + 20. Let j be a(14). Let m(d) = j*t(d) - i(d). Suppose 0 = -3*z - 22 + 4. Determine m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 10*h + 6*h. What is the first derivative of -8 + 68*n - h*n**3 - 68*n - 21 wrt n?\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22599984?\nAnswer: 2, 3, 11, 23, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -1.3, -12, -9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 90 = -2*w. Let p = 4 + w. Let d be 3\/p - (-5 + (-872)\/20). What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**2 + 29*n - 29*n + (3*n - 5*n + 2 + 0*n)*(-3*n - 3*n + 5*n)*(-9 + 4 - 1).\nAnswer: -19*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:50 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i - 1. Let b(r) = -16*r + 5. Let c be ((-432)\/360)\/(6\/20) + 2. What is c*b(d) - 9*a(d)?\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 11.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -479 and 5?\nAnswer: -2395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -72.8 * -0.0475\nAnswer: 3.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/611, -5, -4, -2, 2\/13 in decreasing order.\nAnswer: 2\/13, 1\/611, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, -120, -1332?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doodedrgooo. Give prob of sequence rooo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004706477 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 621684 and 35.\nAnswer: 3108420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 902 and 4059?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6119*g**4 - 1893*g wrt g.\nAnswer: -73428*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/11, -2\/7, -3, -3\/35, 13, -2\/13?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a - 45*a - 140 = 0. Does 9 divide ((-6)\/(-10))\/((a\/(-1650))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 - 126.044. Let l = i - -0.094. What is l rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 43207192.\nAnswer: 43207195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -41014 - 5*q + 82032 - 41009 + 2*q. Let h(f) = -4*f + 8. Calculate 4*h(i) - 3*w(i).\nAnswer: -7*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*s - 3747 = 14565 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 3*n**2 - 2*n - 4. Let z be (3\/(-9))\/(3\/27). Let l be r(z). Solve -4*a = -2*c + l, 2*c - 2 = 2*a - 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 224 = u, 75 = -2*p + 3*u - 51. Let r = 86 + p. Find the second derivative of 13*b**5 - r*b**5 + 0*b - b wrt b.\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let z = 8 - 5. Solve -k**h - 3*k**4 - 2*k**z + 4*k**4 + k + k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*i - 2 + 25 = 0, 4*d + 5*i + 7 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 218227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 785.8 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1349724 rounded to 1 dp?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 57703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-2 - (7 + (-15 - 12) + 10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6354*b + 6615*b + 2071*b - 362*b + 325*b in the form w*b + h and give w.\nAnswer: 15003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) 35 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2351 - -2390) + (-1 - -17)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325161574 divided by -162580787?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11013 (base 4) to base 3.\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**2*w**3 - 10*i**2*w**2 + 785*i - 5*w**3 + 6*w**2 + 3*w - 72 wrt i.\nAnswer: -6*i*w**3 - 20*i*w**2 + 785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 10 = 5*i - 10, -12*h - 109 = 3*i - 121 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from xqbeh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126392, -505499, -1137344, -2021927, -3159248, -4549307, -6192104?\nAnswer: -8087639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 22 in descending order.\nAnswer: 22, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1464 - -1464. Solve -590*f + 587*f - 9 = x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 7*k - 5. Let q(w) = 8*w - 1. Let v be q(1). Let j be g(v). Let s = j + 7. Solve -s - 3 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*k**2 + 125*k**2 - 250*k**2.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 1103 = -1940. Solve 95*f = z*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 18 - 43 + 8*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -28, -115, -292, -589, -1036, -1663, -2500?\nAnswer: -3577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f - 4. Suppose -13*x + 26*x = -78. Let d(v) = 2*v - 7. Let a be d(5). Suppose -a - 3 = -3*p. Let t(u) = -1. Give p*s(y) + x*t(y).\nAnswer: -2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = -69. Let n = -7 + p. Solve 0*l = 4*l + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.05, -253\/2 in decreasing order.\nAnswer: 0.4, -0.05, -253\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*j - 5*i, -j - 44 = -4*j - 5*i. Suppose -24 = -0*y + j*y. Is y - (-2530)\/6 - 3\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -1\/20*h**4 + 0 + 0*h - 1\/75*h**5 + 2*h**2 + 1\/175*h**7 + 1\/840*h**8 + 1\/150*h**6 - 1\/15*h**3. Determine r so that s(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23168 divided by -2?\nAnswer: -11584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 86. Which is smaller: 0.17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36520 greater than -10\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1734007\/4 + 433503. Factor -t*o**2 + 75\/4*o - 65\/2.\nAnswer: -5*(o - 13)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -108*d + 162. Let j(n) = 324 + 8*n + 7*n - 347. Let o(y) = 27*j(y) + 4*v(y). Let g(l) = -7*l + 7. Determine 15*g(s) - 4*o(s).\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 23*q - 114. What is z(8)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10771*q**2 - 49*q**3 + 10771*q**2)*(0*q + 0*q - 2*q) + 4 + q**4 - 4.\nAnswer: 99*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32374 + -32371. Let k = -55 + 329\/6. Suppose -3*x = -2*o - 1 - 9, -2*o - 10 = 5*x. Which is the closest to 1\/2? (a) k (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2247238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*v - 203*v = 1131. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1706904, -3413802, -5120700?\nAnswer: -6827598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q. Let c(d) = d**2 + 4504*d + 1. Calculate o(c(k)).\nAnswer: -8*k**2 - 36032*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2555 - -20555?\nAnswer: 23332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15278 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 13*g - 18. Calculate n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -279063?\nAnswer: 2\/93021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxsx. Give prob of picking 1 x and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**7\/126 - 118*c**6\/45 - 2281*c**5\/10 + 7021*c**4\/9 - 14161*c**3\/18 + 966*c + 2. Solve f(r) = 0 for r.\nAnswer: -119, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/41 in 0.5, 0.4, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5317216 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a - 3 = -27*a. Solve -v = h + 2, -v + a*h + 5 + 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 3, a: 3}. Give prob of sequence qaa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:17 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*v + 3*c, 0*v + 5*c - 65 = 4*v. Let g = 32 + v. Let o be (3 + g)*3\/9. Solve 0*w + 4*h = -o*w + 20, 3*w = -3*h + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-5 - (sqrt(32)\/sqrt(4))\/sqrt(4).\nAnswer: -41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/2 - 11*h**2\/2 - 812*h. Determine u(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + 3*l - 10. Determine g(5).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000214446156 rounded to 6 decimal places?\nAnswer: -0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -450, -1060, -2076, -3498, -5326?\n\"Answer: -203*t**2 - t - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 7 + 7 - 4*p - 2*p + 0*p - p - 1 + 1 + (-1 + 1 + p)*(-1 + 0 - 1))*(-2*p**2 + 0*p**2 + 5*p**2) to the form h*p**2 + m + f*p + b*p**3 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 7:11 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Let o be ((-4)\/(-6))\/(12\/54). What is the third derivative of y + 1 - 1 - 13*q**2 - 7*q**o wrt q?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.01 - 69.8. Let c = x - 0.21. Let o = 38.7 + c. Is -0.1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210.4 + 2.\nAnswer: 212.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/37, 0, 2, -2\/5, 0.3, -10 in increasing order.\nAnswer: -10, -2\/5, -3\/37, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261*s**3*w - s**3 - 308*s**2*w + s**2 - 2*s*w - 48*s + 131*w wrt s?\nAnswer: 1566*s*w - 6*s - 616*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -628*j - 4401 + 1227 = -548*j + 906 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 70, 78, 52, -20, -150, -350, -632?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 1\/(-3*1\/12). Let a = 10 + j. Let v = -34 + 68. What is the remainder when v is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1556 + u + 1556 - 3*u + u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1188, 1250, 1388, 1638, 2036?\n\"Answer: 6*j**3 + 2*j**2 + 14*j + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 267 + -3475\/13. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*i - 9*i**4 - 58 + 58 - 16*i**4 wrt i?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 2*z**2 + 176092*z**3 - 8*z**4 - 176135*z**3 + 5*z**4 as g*z**3 + x*z + s*z**4 + r + h*z**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + k - 7, 63*s + 8 = 67*s - k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:16 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -131223454?\nAnswer: -131223462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)\/((y*y**0)\/y))**33*(((y*y**7*y)\/y)\/y*y**(-3\/7)*y)\/((y**1\/y)\/y)**42 assuming y is positive.\nAnswer: y**(479\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 453 - 668. Let q = k - -219. Which is the nearest to -2? (a) -5 (b) 2 (c) q (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w - 82. Suppose -140 = -9*f + 40. Let p be a(f). Solve 3*h = 30 - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 15. Give y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from mhhmhhhhmhh.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**3 - 2*i - 119*i**2 + 2 + 119*i**2 as u + y*i**2 + l*i**3 + p*i and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - sqrt(187)*-1)*-6)\/(-4*sqrt(11)*1).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + 16\/6. Suppose -r - 3*a + p = 2*a, -8 = -4*r - 4*a. Find the third derivative of -2*y**3 + 0*y**3 + 0*y**3 + 2*y**r wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -116. Let p = s + 89.9. Let u = -11 + p. Which is the nearest to u? (a) 5\/4 (b) 0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 2*t**2 - 5*t - 5. Let p be f(-2). Solve 5 = -5*o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15015 and 4838 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/9 + 122*f**2\/9 - 12320*f\/9 - 774200\/9 = 0?\nAnswer: -70, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 37*q - 260. Let x be m(7). Let w = 4.8 + -5. What is the nearest to 0.1 in x, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o - 24 = 0. Let v(i) = -i**2 - 12*i - 3. Let s be v(-6). Suppose -s*f + 3 = -36*f. Is o smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -61855 from 1.\nAnswer: 61856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*k - 1146*k - 339*k - 77845 - 153495 = 0 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 145 - 71 = 0. Calculate the greatest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d + 5*d**2 + 11*d**2 - 14*d**2 + 2*d wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/9)*j)\/j*j**(-5)*j**(-1\/2)*j*j\/(j\/((j\/j**(1\/2)*j)\/j)) assuming j is positive.\nAnswer: j**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -21929027\nAnswer: 10964513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 69, 65, 49, 15?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*c + 2*c - 21, 0 = 2*l + 2*c - 28. Let n be 1*(l + -1) - -2. Suppose 0 = 5*i - 0*i - 480. What is the greatest common factor of n and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (5 - (5 - (9 - 4))) + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -24.1. Let s = -0.23 + 0.43. Let u = s + -0.7. What is the biggest value in u, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i - 80. What is m(0)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 653619*h + 1960884.\nAnswer: -3*(h - 217876)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is -3\/21206 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 55*g - 3209. Determine i(18).\nAnswer: -2219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3327*d + 5. Let t(b) = -1109*b + 2. Determine -3*c(n) + 8*t(n).\nAnswer: 1109*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 955 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (-2640)\/(-231))\/(4\/(-7))*(-28)\/(-55)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 1. Let h(v) = 6*v + 6. Let k(y) = -h(y) - 6*o(y). Let r(g) = -8*g**2. What is k(r(b))?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6\/((-6)\/(-1)) + 13 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12528 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -312424 (base 6) to base 5\nAnswer: -1301331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3812935974?\nAnswer: 2, 3, 937, 678217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from yqqqqqqqy?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 20550283.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26768 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 174\/18 + (-6)\/(-18).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*v - 1897*v = -897*v + 1400 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s*s*s\/(s\/s**16)*s*s))\/s*s)\/s)\/s*s*s\/s**(-4\/5))**(2\/49) assuming s is positive.\nAnswer: s**(-172\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*k - 6, -z = 5*k - 66. What is the greatest common divisor of z and 1504?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 1\/68 (c) -85 (d) 0.05 (e) -1 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 6*b - 10. Calculate the remainder when i(-5) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -64. Let h(n) = n**4 - 11*n**3 + 3*n**2 + 11*n - 4. Let i(u) = -3*u**4 + 45*u**3 - 12*u**2 - 45*u + 15. Let j(s) = f*i(s) + 9*h(s). Factor j(g).\nAnswer: 3*(g - 2)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6375, 3, -1, 270, -4 in ascending order.\nAnswer: -4, -1, 3, 270, 6375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 13*j**2 - 6*j + 39. Let c be o(-15). Let h = -240 - c. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32 - 224)\/24 - 43*-42. Calculate the greatest common factor of 310 and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -189 and 0.4.\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 379 + -7199\/19. Which is the third biggest value? (a) s (b) -0.2 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + (-14)\/(-4). Suppose 0*c = 5*j + c - 14, 5*c - 7 = -4*j. Suppose -s + 4*u + 1 = 0, o*u = j*s - 27 - 3. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20504, -40995, -61440, -81839, -102192?\nAnswer: -122499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 246?\nAnswer: -4\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, l: 3, x: 5, a: 1}. Give prob of sequence lll.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j + 9. Suppose j*f - 4 = 4. Suppose -f*t - 24 = -2*m + 12, -12 = -3*t. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 5\/2*x**2 + 4*x + 7. Differentiate y(l) with respect to l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32.22254 grams?\nAnswer: 0.00003222254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1450630*v**3 - 675341 wrt v.\nAnswer: 4351890*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 28*a - 2*y + 5 = 0, -35 = -5*a - 5*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u - 1. Let o(x) = -3207764*x. Give n(o(p)).\nAnswer: 32077640*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102081 and 2583.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*p + 53*p - 1840. What is the greatest common factor of p and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.021753146980574+-0.3\nAnswer: -0.321753146980574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 842.8679l?\nAnswer: 842867.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b**(-8)*b assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 150, 146, 142, 138, 134?\n\"Answer: -4*w + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 35123 - 11*(3 - -5 - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*g**3 + 8314*g**2\/9 - 15464*g\/9 + 520\/3 = 0.\nAnswer: 26\/243, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 7, -4, -1, 2046 in descending order.\nAnswer: 2046, 7, 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9828, -10031, -10234, -10437, -10640, -10843?\nAnswer: -11046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/((-2)\/10). Suppose 6*p - 3*p + 2 = 4*l, -2*p + 4*l = 4. Solve v - p = -n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(495) + sqrt(495))\/(sqrt(77)\/sqrt(112)) - (-5 + sqrt(45) + sqrt(180)*-3)**2.\nAnswer: -1150 - 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100701075 times -0.1?\nAnswer: 10070107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.4, 0.109, 5?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 148*(1 - (0 - 0)) + 4. What is the greatest common divisor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8335684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 2*m - 1. Let i be p(-1). Let k be 12\/(-30) - 5\/(950\/556). Let s = k - -48\/19. Is s smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 787, 775, 757, 733, 703, 667, 625?\n\"Answer: -3*u**2 - 3*u + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 15. Let j be m(-12). Let s be (j\/(-2))\/((-6)\/8). Solve -5*y - 5 = 5*k, s*y - k - 10 = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 3 (c) 5 (d) 1\/6 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 592 + -1 + (-4 - -10). Suppose 23079 = 18*v + s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 22. Let i(t) = 2*t**2 - 30*t - 182. Let n be i(19). Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 187181 and 71.\nAnswer: 187252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -45. Let u(d) be the second derivative of 0*d**2 + 0*d**5 + 0 + 1\/30*d**6 + v*d**4 + 1\/3*d**3 - 3*d. Find the second derivative of u(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -36. Let v be (0 - 0) + 2 + -2. Suppose v = -2*l + p + 4, n = 2*l + 3*p - 7*p. Solve l = 4*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (2\/(-3) - 34\/(-6))*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45833917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23903 (base 11) to base 9.\nAnswer: 52125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away 1002816166?\nAnswer: -1002816166.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(105\/(-40) + 3)*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12413283*y**3 + 2170474*y**2 wrt y.\nAnswer: 74479698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13362486*i**3 + 3957*i + 179 wrt i?\nAnswer: -80174916*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 37*k + 86. Is s(10) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892 a factor of 1701551814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 6 + 4 + -8*(-7)\/(-7). Factor -2\/9*f**i + 28\/9*f + 0.\nAnswer: -2*f*(f - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c\/((c\/(c**10*c))\/c)))*c))\/c**(-3\/34))\/((c*c**(2\/3)*c*c*c*c)\/(c**(1\/79)\/c)) assuming c is positive.\nAnswer: c**(-149603\/8058)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2 - 5*l + 6. Suppose -o + 4*r = 5, 12 + 26 = 5*o + r. What are the prime factors of m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -21. Suppose v - 35 - 40 = 0. Suppose -110 = -5*w + 4*r, -2*w - 3*r + v = 3*w. What is the highest common divisor of o and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160 = -5*y + 2*n, -2*y = -y - n - 232. Is y a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + 9. Let v = y + 4. Let g(i) = -i**2 - i. Let u be g(0). Put v, -1, u in descending order.\nAnswer: v, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11443 + -11422. Let l(i) = i**2 - 25*i + 32. Give l(k).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256583798.\nAnswer: 2, 128291899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 4*z**2 - 4*z + 6. Let i be h(3). Suppose 8*l**2 + 8 + 4*l**i - 6*l**2 - 4*l**2 - 16*l = 0. Calculate l.\nAnswer: -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = -i - 4, -5*m - 3*i = 12. Solve 8*j - 1 - 7 = m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - x**2 + x**2)*(-7*x - 9 + 9).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5060862 * -1\nAnswer: 5060862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1053152486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -3770?\nAnswer: 3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2\/3*q**2 + 2\/3*q**4 + 4\/3*q + 0 - 4\/3*q**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 299 * -0.5.\nAnswer: -149.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/29)*u**(-10)*(u**(-14))**(4\/3))**(-14\/5) assuming u is positive.\nAnswer: u**(34874\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d85a (base 16) to base 11.\nAnswer: -38681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/12 and 26\/(-364)*(-1659)\/(-72).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29034726*y**2 - 22688214 wrt y.\nAnswer: -58069452*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let o be d(4). Let f = -8 + o. Which is smaller: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. What is the remainder when (0\/(-2)*1)\/1 + 29 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 825 and 39682995.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 - 2*p + 4. Let a be k(-5). Let n = a - -20. Let r be 6 + -3*(-3)\/n. Solve 0 = r*l - 3*l + 2*z, -4*z = -2*l - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*o + 984, q - 2*o - 304 = 29. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*q + 7*q + 22 - 20 - 2 - 2*q + 2 - 3*q + 2*q + 2*q + (-2 + 0 + 0)*(-3*q + 0*q + q) + 4*q - 3*q + q)*(-2 + 4 + 0) to the form o*q + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 101626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3778648\/675 - -5598. What is the common denominator of 88\/63 and g?\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -u - 3*j - 2*j, -u + 62 = 4*j. Suppose 0 = 2*d + 47 - 179. Suppose 2*y = -0*y + d. Calculate the highest common divisor of u and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/15*(-186)\/(-155)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(sqrt(931) + -1)**2*6.\nAnswer: -44736 + 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 7*u - 1225. Suppose -u + 77 = -3*g. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 10 = 34 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 598*h**2\/11 + 239212*h\/11 + 4800\/11.\nAnswer: 2*(h + 400)*(299*h + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44b7a4b + -5?\nAnswer: 44b7a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1681728 divided by 26277?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 21. Determine a(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 u when three letters picked without replacement from {x: 6, j: 3, z: 4, u: 1, b: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -2097523?\nAnswer: -167801.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3956.955kg?\nAnswer: 3956955000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 4*v. Let g(f) = 2*f**2 - 7*f. Let m(k) = 7*a(k) + 4*g(k). Let h(u) be the first derivative of -u**3 + 28. What is h(m(w))?\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.267 to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23204, -46157, -69128, -92123, -115148, -138209?\nAnswer: -161312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4.73. Let h = s + 3.03. Let p = -0.7 - h. Which is the third biggest value? (a) 2 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -24263914982.\nAnswer: 24263914976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 186. Let o be 3*k - (-4 - -4). Suppose 6*x - o = -0*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369984400 and 5200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 0.2 (c) 1\/2 (d) 3566 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 488592?\nAnswer: 488592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23244889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 356000 to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177891 bigger than 19601018\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 - 534 = -a. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 less than -1485?\nAnswer: -2245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 392684672+-8494\nAnswer: 392676178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20*(-19)\/(-76) - (-9)\/3. Put g, -1, -33, 1 in ascending order.\nAnswer: -33, g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18*q**2. Let u be (-6)\/39 - 196\/(-91). Let r(l) = 6 - 955*l + 955*l - 8*l**u. Let d(h) = 9*h**2 - 7. Let z(i) = -6*d(i) - 7*r(i). What is z(o(k))?\nAnswer: 648*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011101011110100010 (base 2) in base 16?\nAnswer: 5d7a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y + 172 + 128 = 186 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087 - 4732 + 12587 = -230*t - 12172 for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 take away 369440.8?\nAnswer: -369376.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-2) + 0 - (3 + -1). Sort -1, 1\/2, q, 0.02.\nAnswer: q, -1, 0.02, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = l + 4, 4*m + 18*l - 7 = 15*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*n**2 - 49*n**2 - 13*n**2 to the form i + m*n**2 + x*n and give m.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2, 85, 1\/4, -7 in decreasing order.\nAnswer: 85, 2, 2\/7, 1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 4289194?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -1, 51, 135, 257, 423, 639, 911?\n\"Answer: c**3 + 7*c**2 - 2*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)\/(6 - 5). Suppose 4 = 2*h - 0*h. Solve -6*d + d + 3*m - 7 = n, 4*m = h*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1532 and 2.8.\nAnswer: -4289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 189*p + 825. Calculate g(0).\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -1 + (-7163)\/(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -33614493\nAnswer: -1\/33614493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v. Let b(l) = 6*l**2 + 2 - 2*l - 7*l - 5. Let i(c) = b(c) - 5*x(c). Let t be i(5). Put 0.1, 0.2, t in increasing order.\nAnswer: 0.1, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - k**3 - 40*k - 10*k**3 + 40*k to the form n + g*k + a*k**3 + v*k**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 + 4*w + 23. Let q be 12*(68\/16 - 5). Is k(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 59ec6ea?\nAnswer: -59ec6e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001994002 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97507 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 3 (c) 2 (d) -63065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d - 79538*d**3 - 13*d**2 + 3*d**2 + 79537*d**3 + 5*d**2 + 5*d**2.\nAnswer: -d**3 + 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let u be b(-2). Suppose -4*w - u*f + 14 = 0, -4*w + 2*f + 34 = -0*w. Suppose -k + 5 = -w*k, -n + 5*k = 0. Put 5, 2, n in increasing order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301907\/42 + -7187. Calculate the common denominator of h and -79\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofudjll. What is prob of picking 1 f and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013012 (base 4) in base 3?\nAnswer: -20020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 61.\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 50. Suppose 10 = 2*v + s + 2*s, -s = 4*v - g. What is the first derivative of 2*f - 5 + 2 + v wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1960 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 50 = -16*n. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 times -0.1\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(72) + sqrt(72)*1)*-2*1.\nAnswer: -72*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 + 1102*p**2 + 1104*p = 0. Calculate p.\nAnswer: -1, 0, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108540494 or -108540495?\nAnswer: -108540495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5432, -10857, -16282?\nAnswer: -21707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**(-2\/23)\/x))\/(x\/(x*x**14*x)))\/(x**(-1))**(-2\/17) assuming x is positive.\nAnswer: x**(7026\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84*j**3*o - 2133*j**3 + 988*j*o*p - 27*j*p wrt o?\nAnswer: -84*j**3 + 988*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = 2, 74 = b - y. Calculate the remainder when b is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*w - 143*w + 194427 = 0. Let c = w - -42862. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261117 and 2052?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + u**2 - u + 5. Let s be j(0). Solve s*b = -12 - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1533 divided by 206222\nAnswer: 1533\/206222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -323323320 (base 5) in base 4?\nAnswer: -11102121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 25\/3*d**3 + 20*d + 20*d**2 + 5\/4*d**4 + 104. Determine k, given that l(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(6\/(-3)) - -1. Let r be 6 + (y - 2 - -3). What is the common denominator of 43\/22 and -2*-1*82\/r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5481746?\nAnswer: 2, 569, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1.8. Let x = -1316.5 + 1317. What is the third smallest value in j, x, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + n**4 - 2*n**4 + (n**3 + 2*n - 2*n)*(-3 - n + 3) + 2*n - 16*n**4 + 7*n**4 - 34*n**4.\nAnswer: -46*n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1003131834 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 7*b - 6. Let r be c(-6). Suppose r = -o - 18 + 74. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 4008540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*w + 296. Is 13 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 (1*(2 - 1))\/((-80)\/280) + 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3 - 2*s + 0 - 5 - 1 - 3. What is f(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvxvqqqqqys. What is prob of sequence ys?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 + 2*l**2 - 9. Let x(u) = u**3 - u + 1. Let r(g) = q(g) + 4*x(g). Let p = 0 - 6. Let a be r(p). Round a to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-415)\/166*(-3)\/((-30)\/(-856)).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -998.0000781 + 998. Round h to six decimal places.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**0*k*k**6\/k*(k**1)**(-27)*((k*k**(-1\/12))\/((k\/k**(1\/4))\/k))\/(k*k*k**1)**36 assuming k is positive.\nAnswer: k**(-761\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -877 from -3.\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 10*p - 13*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c + 62*c - 32*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 2*a**3 + 2 + 3*a**3 + 3*a**4 as s*a + h*a**3 + y*a**4 + q*a**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.78 + 12. Let x = -0.2 - j. Let b = x - -0.02. Put b, -2\/9, 0 in increasing order.\nAnswer: b, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986759 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: Let h(y) = y. Let w(p) = 6834*p + 229. Calculate w(h(r)).\nAnswer: 6834*r + 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 0 + 33*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s - 1. Let w be s\/(-3)*(5 - 2). Let z = -9\/26 - 2\/13. Is z smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -500*i**2 - 156*i**6 - 182*i**6 + 244*i**6 - 49*i**6 - 642*i**2 + 2*i**5 wrt i?\nAnswer: -17160*i**3 + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/108 + (-88)\/(-9). What is the hundreds digit of ((-745)\/f)\/(1\/2*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77760\/3456*(2 - 24\/9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-2) + 8)\/2. Suppose x - 45 = 5*d, -x - 2*x = i*d - 117. Suppose 4 = -2*p + 3*p, 28 = 3*z - 5*p. Calculate the smallest common multiple of x and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1345404*-17\nAnswer: -22871868","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1395, 1413, 1431, 1449, 1467, 1485?\n\"Answer: 18*f + 1377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8959*y**4 - 17*y**3 + 11*y - 16344?\nAnswer: 107508*y**2 - 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1057*m - 895*m + 453*m)*(-3*m + 2*m + 5*m)*(2 - 4 + 4).\nAnswer: -11992*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + k - 10 = 0, -4*u - 3*k - 21477 + 21442 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62b15 - 2?\nAnswer: 62b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4398112, -8796234, -13194356, -17592478?\nAnswer: -21990600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/921065249 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -12.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 17 + -7 + 13 + -1 + -11 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/939 + -13892\/14085. Find the common denominator of m and -61\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206 - 199. Suppose -p*r = -29*r. Solve 4*n + 4*q - 11 - 1 = r, -5*n - 4*q + 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 44 = 0. Let q = -32 + 173. Suppose 14*h - y*h = q. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1113104)\/(-26684) - 4\/(-14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, g: 7}. What is prob of picking 2 g and 1 k?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + f + 0)*((3 + 3 - 3)*(-1 + 1 + 2) - 4 + 10 + 7).\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*(-2 + 1). Let a be i*4*3\/(-4). Suppose -20 = 13*l - 17*l. Solve -2*d - l = a*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(9\/(27\/6) - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 272 (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = x - 4*l - 193, 160 = x + 4*l. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d = -14*d + 1872. Calculate the greatest common factor of 348 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/((-5)\/(-3)). What is the third smallest value in l, 0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, 2\/5, 13, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5648049 rounded to 2 dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 2*d**2 - 2*d**2 + (d - 5*d + 3*d)*(-d - d + d) - 3*d**2 - 4*d**2 + 2*d**2 as p + o*d + h*d**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4) + 903\/14. Let y be 402\/33 + (-12)\/b. Suppose -2*n + 4*v = -68, -n = -3*v - y - 26. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14580000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 bigger than -4798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 11. Solve 2*c + 2*s = 7*c - r, 9 = -c + 4*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93.992 - 93.492. Let g be (-10)\/(-26)*4\/10. Let o = 6 - 8. Put l, o, -1\/3, g in increasing order.\nAnswer: o, -1\/3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let f be (4\/(-5))\/((-2)\/5). Find the third derivative of 2*s**2 - s**5 - s**f - 4*s**g wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -406.077171 + 0.3?\nAnswer: -405.777171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 + 0 - (-48 - -40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*k + 462 = 227*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57637 + 57641.1967. Let y = -4.2 + t. What is y rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17156*k**2*x**2 - 17734*k**2 + 7501*k*x**2 - 177*k*x - 2 wrt k?\nAnswer: -34312*x**2 - 35468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:25 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -17\/27, 71868 in decreasing order.\nAnswer: 71868, -17\/27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*2)\/(4606\/(-196))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 2. What is d rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 19 + 1. What is the second derivative of -8*c - c**2 - z*c**2 + 2*c**2 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(0*u**2 + u**2 + u**2) - 3*u**2 + 4*u**2 + 0*u**2 - 14*u**2 + 29*u**2 + 24*u**2 as l*u + q*u**2 + a and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*m = b - 4, 2*b + 5*m + 13 = 0. Let a(y) = -3*y**2 + 22*y**2 + 3 - 12*y**2. Let r(i) = 6*i**2 - i + 3. Let o(n) = 5*a(n) - 6*r(n). What is o(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4380977386?\nAnswer: 2, 59, 179, 211, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1170 + 1207 - (16 - (2 - 2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 0*a + 0*a**3 + 0*a**5 + 0*a**4 + 2\/3*a**6 + 2 - 3\/2*a**2. Find the second derivative of h(u) wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*5 + (-429)\/(-91). Let p = 151\/1080 - 2\/135. Put j, -5, p in decreasing order.\nAnswer: p, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454*p - 450*p - 20 = 0. Let j(o) = o + 1. Let r(t) = -t - 1. Let n(z) = -3*z - 2. Let s(f) = -n(f) - 5*r(f). Calculate p*s(m) - 35*j(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/24 and 11\/210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561354457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29028.\nAnswer: 2, 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*y - 5*g - 5 = 183*y, 0 = 2*y + 4*g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1076875 divided by 32\nAnswer: 1076875\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (15 - 24 - -1)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 60 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/7 + 136*z**2\/7 - 851*z + 84878\/7.\nAnswer: -(z - 62)*(z - 37)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*h**4 + 2)*(-4*h + 3*h + 3*h + (2 + 0 + 1)*(0*h + 3*h - h)).\nAnswer: -16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)*-2)\/(sqrt(847) + 2*sqrt(847) + sqrt(7)) + ((sqrt(9)\/(1*sqrt(3)))**2 - -4*(sqrt(3) + sqrt(15)\/sqrt(5))))*3.\nAnswer: 9 + 396*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 908378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 2) + (79 - 79)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p = -75*p - 5. Let o be (-3 + 10)*(-1)\/p*-5. Is 8 a factor of (2 - 0) + (680 - 1)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1493104?\nAnswer: 14930bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - (3 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*o**3 + 34*o**3 + 27*o**3 + 34*o**3 + 31*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 4 (c) -1\/6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 9*p**2 + 5*p + 4. Let j be b(-8). Suppose -j = -3*i - i. Suppose -5*s = -18 - i. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*f + 19, 5*f = -o - 0*f + 28. What is the third biggest value in -1\/26, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -322046*j**6 + 5*j**2 + 4*j - 3356.\nAnswer: -38645520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4779 = -0*p + 3*z, -p = -z - 1200. Let o = -660 + p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -953 - -56229\/59. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:42 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 388 = -252. Suppose -3*t = j - 8, 14*j - 7 = -2*t + 25. Suppose -186 - l = -j*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:08 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l + 100. Let g = l + 87. Let q = 15 + 5. What is the remainder when g is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 1. Determine q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 3843506*a**2 - 1846569218256*a - 1846565374752.\nAnswer: -2*(a + 1)*(a + 960876)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -43 - (-3 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 7*b**2 - b + 11. Let r be h(7). Suppose 2*y + 5*s - 25 = 21, 0 = -s + r. Suppose -f - y = -0*f. Is f less than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/(r*r\/(r\/r**(-2))))\/((r\/(r*r**(-1\/9)))\/(r\/(r*r**8*r))) assuming r is positive.\nAnswer: r**(-118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 403609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3053414 - 140?\nAnswer: 3053244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 1817632?\nAnswer: 1817632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75456, -151114, -226772?\nAnswer: -302430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 4:18 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1588 (base 11) to base 4\nAnswer: -133300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 423211 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v - 28. Suppose 0 = -3*u - 31 + 13. Let c be p(u). Solve c*s - 12 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785334 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + k + 72 - 2*k**4 + 11*k**2 - 70 - 7*k**2 in the form n + i*k**3 + s*k**4 + c*k**2 + m*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9877 - 2912. What are the prime factors of j?\nAnswer: 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -110?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p**2 - 2*p - 2. What is the remainder when 162 is divided by x(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 381570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0028 - 0.2402. Let c = r + 0.23. Round c to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 142214695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6)*v)\/(v**7\/v))\/((v*v*v**(2\/9)\/v)\/(v\/v**15)) assuming v is positive.\nAnswer: v**(-227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 = -5. Suppose 2*x = -4*s + 200, x - 397 = -k*x - 5*s. Find the third derivative of -x*n**3 + 1 + 55*n**3 + 5*n**2 - 20*n**2 wrt n.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -0.06, -6\/7, -0.02726, 6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 4. Let f be k(6). Suppose 0 = -3*c - 12, -16 = -3*v - 3*c + f. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22514, 22512, 22510?\n\"Answer: -2*n + 22516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 2*n**2 - 2*n - 3. Let c be w(-3). Suppose -c = -2*t - 0. Let u = 1 + 1. Calculate the smallest common multiple of u and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -4. Let x be (10\/j)\/(2\/(-8)). Sort 0, x, 1 in descending order.\nAnswer: 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41512 and 16536.\nAnswer: 85805304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2346*b - 21108. What is j(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 0.09 (c) 8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*o = -1147*o + 420 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.82621ml to litres.\nAnswer: 0.03282621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -37. Let p be 276\/(-48) + w\/8. Which is the third biggest value? (a) -3 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -193 and -3639.9949?\nAnswer: 3446.9949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4692542, 9385091, 14077640, 18770189?\n\"Answer: 4692549*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2861 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273966188.\nAnswer: 2, 13, 31, 167, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from usuuuyyyyyyssuyuusyu?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - (sqrt(88) - -3*sqrt(88)))*-4 + 3*-3*sqrt(88))\/(sqrt(16)\/(sqrt(6)\/sqrt(3) + sqrt(2)) - -4*sqrt(800)).\nAnswer: 8*sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5979, 5918, 5835, 5718, 5555?\n\"Answer: -2*g**3 + g**2 - 50*g + 6030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0 (c) 5 (d) 2\/21 (e) 105306 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d5 + -ba?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 18, 1.6, -26\/5, -4?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/3 + 56*v**3\/3 + 58*v**2 - 17*v - 1. Solve h(o) = 0 for o.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473101158.\nAnswer: 2, 3, 877, 89909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-168)*8\/10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 2. Let h(b) = 2*b + 3. Calculate 5*c(n) + 2*h(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z + 5. Suppose -4*v - 66 + 308 = 3*n, 3*n + 3*v - 243 = 0. Suppose 2 = 16*w + n. Let t(r) = 22*r + 11. Give w*t(u) + 11*d(u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82.96 - -84. Let x = -1.24 + q. Is x bigger than 1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/20 - 4\/(-1 - -5)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14406 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3 + 11*n - 5 - 9 + 5 + n**2. Let r be i(-12). Let b = 86\/5 + -16. What is the closest to r in b, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f**3*j**2 - 13*f**3*j + 2*f**2*j - 4*f**2 - 66*f*j**3 + 8 wrt j.\nAnswer: -16*f**3 - 396*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 6*k**2 + 4*k**2)*(77 + 88 + 124 - 58).\nAnswer: 231*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/(b\/b**(1\/2)))**(-4\/17) assuming b is positive.\nAnswer: b**(14\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from hnhhhhhh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 3*g + 2 - g + 5*g + g - 2*g + (5*g - g - 2*g)*(-1 + 0 + 2) + 2 - 2 + g + 1 + 2*g - 1.\nAnswer: 11*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 40 = -3*q, 2*m + 3*q - 20 = -2*q. Suppose -4*n = 6 + m. Is (-128)\/24*15\/n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*j = 339*j - 2319. Let m be 6*((-1)\/(-2) - -1). Solve -j*v + m = -3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7 - 869\/126 and (126\/(-16))\/((-27)\/6 - -2)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 30, 46, 68, 96?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64060 = 5*p - 20950. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:59 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-45))\/(1\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 97*a. Let h(o) = -15*o - 65. Let z be h(-4). Let m(k) = -14*k + 8. Let x(f) = 17*f - 10. Let l(i) = z*m(i) - 4*x(i). Determine l(r(q)).\nAnswer: 194*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, and 1 b when three letters picked without replacement from vvvabvvfvco.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1252, 9.28, 1\/4, 2\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**19*h)**28\/(h**18)**(5\/9) assuming h is positive.\nAnswer: h**606","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 - (-202)\/(-404)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2245882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44754002 to the power of 1\/2, to the nearest integer?\nAnswer: 6690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 6*l**5\/5 - 5*l**2\/2 + 6. What is the second derivative of x(y) wrt y?\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/13391 and -19\/63.\nAnswer: 120519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 9569 - 9569. Let t(l) = -330*l. Calculate s(t(o)).\nAnswer: -108900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/(-28))\/((400\/(-175))\/(-8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2274859.055716763 - -67.052236763. Let c = -2274681 - h. Let w = c - 111. What is w rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (1 - 1) + -2. Suppose 176*q + 32*q = 832. Solve o - 5*o - q = z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 93534075006682.\nAnswer: 93534075006681.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6227121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 195229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 228954.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -243*t + 246*t. Let u be (-3)\/(-1 + 7\/4). Put t, u, 4 in increasing order.\nAnswer: u, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8638907443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12725*v**2 + 25490*v - 80.\nAnswer: -5*(v - 2)*(2545*v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 + 39 = -18*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.99435794 + 1340.71762626. Let q = 1385.888 - n. Let a = q + -0.176. Round a to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4.1745.\nAnswer: -1.6698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143579190.\nAnswer: 2, 3, 5, 523, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -18*k + 2. Let c be w(2). Let s = 55 + c. Let n = s + -15. Is n at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*4\/(-230))\/(18\/45)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 265693?\nAnswer: -265686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 982, 4974, 11590, 20800, 32574, 46882, 63694, 82980?\n\"Answer: -5*j**3 + 1342*j**2 + j - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-297)\/4455)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5886.99 + 5887. Which is the nearest to -1\/3? (a) 2\/7 (b) 0.2 (c) w (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/10)\/(3\/5442) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829, 698, 577, 472, 389, 334?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(5\/6)))\/z)\/z*z**(4\/3)*(z**1)**35 assuming z is positive.\nAnswer: z**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 480 = -0. Let r be 11\/4 - (-3 - (-44)\/y). Solve r*c - 7 = -10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 50\/3*p**3 + 12*p**2 + 119*p + 0 + 4\/3*p**4. Factor v(d).\nAnswer: 4*(d + 6)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2038*l + 8156. What is c(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -324, -376, -418, -450, -472?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1091183 to the nearest ten thousand.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/7)\/((-36)\/126).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -5. Calculate the highest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-2603031\nAnswer: -780909.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, -7, 0, -61, -3.\nAnswer: -61, -7, -4, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7086\/(-12))\/((-5)\/(-94)). Let t = -11065 - k. Let l = t + -36. Is -1\/5 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/977?\nAnswer: 3\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3775 times -3?\nAnswer: 19.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + -4*-1*(-2*sqrt(1700) + -3).\nAnswer: -80*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.129 or -200\/29?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -10\/383 (c) -152.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86, -119, -126, -95, -14, 129, 346, 649?\n\"Answer: 2*h**3 + h**2 - 50*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 - 3\/12*-37. Let o = 188 + -52. Let s = o - 64. Calculate the greatest common factor of s and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 2*f**2 + 3*f**2)*(3*f - 3*f + 2*f**3) - 1059*f**5 - 3*f**2 - 3383*f**4 + 3383*f**4.\nAnswer: -1055*f**5 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - x = 11*q - 0*x + 85, -20*q + 3*x - x - 118 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -582 - -637. Suppose 3*d = m - 95 + j, 3*d = 2*m - 68. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 3*f + 2. Let u be v(3). Solve -3*d - 2*x = -18, 0 = 4*d - u*x - 2*x - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8401 - 3193. List the prime factors of o.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-28) + (-240)\/(-210).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 48287954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7)\/(((-92)\/12)\/23).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 397755654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 0*n)*(-4*n**2 + n**2 + 2*n**2)*((n - 3*n + 4*n)*(-1 - 2 + 1) + n + 0*n + 0*n - 8 + 2*n + 8).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:26 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 83588069.6 rounded to the nearest one hundred thousand?\nAnswer: 83600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 + 903752*t - 2*t**3 + 7*t**3 - 903776*t in the form s*t + y*t**3 + n*t**2 + k and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -o + 2*c, -48*o - 3*c + c = -46*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12751?\nAnswer: 41, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 58159 times 12\nAnswer: 697908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*q = -2*q + 8, -5*q + 12 = 3*p. What is the lowest common multiple of p and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 43 = -299*q + 300*q, -71*q = -3*u - 2491. Calculate the remainder when q is divided by (11\/2)\/((-3)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*t + 11 = 2*a + 117*t, -7*a - 5*t + 2 = -24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5 - 5. Let r(h) = h + 23. Let c be r(6). Suppose c*b = 30*b - 2. Solve -b = 2*a - n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 4*u + 4. Let f be v(4). Suppose f*y = 11*y - 14. Solve -r + y - 6 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 5. Let n(k) = 3. Calculate -2*l(g) + 5*n(g).\nAnswer: -2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (6 - 0) - -4 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -1\/60*q**5 + 0 + 0*q**3 - 1\/12*q**4 - q**2 - 4*q. Let k(i) be the first derivative of z(i). Factor k(x).\nAnswer: -x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340\/(-8) + 18\/(-8)*186\/(-279)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107.25603 months to years.\nAnswer: 8.9380025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**6\/10 + 9*b**5\/20 + 8*b - 8. Let z(m) be the first derivative of l(m). Determine t, given that z(t) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1016, 5, 4, 10.\nAnswer: 4, 5, 10, 1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -34 - (233 - 128).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + 8*c**2 + 5*c - 8. Let u(d) be the first derivative of 3\/2*d**2 + 5\/3*d**3 + 1\/2*d**4 - 5*d - 6. What is 5*a(s) - 8*u(s)?\nAnswer: -s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2060, -3093, -4132, -5177?\nAnswer: -6228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 3)\/2 + 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2313, -3, -16.\nAnswer: -2313, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 2931 = -852. Suppose -d = -3*c - 60, -4*d + 5*c = 2*c - g. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242912 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 264, 530, 796, 1062, 1328?\n\"Answer: 266*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**4\/24 + 5*v**3\/6 + 5*v**2. Let z(y) = -y**2 + 40*y - 43. Let l be z(39). What is d(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803180 rounded to the nearest 10000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*p**3 + 871*p**2 + 58379*p?\nAnswer: -90*p + 1742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-21))\/((-2)\/3) - -4. Suppose 23 - 8 = 4*h - 3*q, r*h - 4*q - 13 = 0. What is the remainder when 75 + 2 - (2 - 6\/h) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from {u: 4, q: 2, c: 2, p: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llf when three letters picked without replacement from {l: 2, f: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + -11 + 6 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11450, 22905, 34344, 45761, 57150, 68505, 79820, 91089?\nAnswer: 102306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*d**2 - 16*d - 620.\nAnswer: 4*(d - 5)*(7*d + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 6*z + 6*z)*(13 - 82 - 38) + (3*z - z - 4*z)*(1 + 0 + 0) + 0 - z + 0.\nAnswer: -1180*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1501836 = -87*c + 129*c. What are the prime factors of c?\nAnswer: 2, 19, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = 0. Let u = t - 0. Let j be 8 + (2 - (6 + -4)). Solve v + v - j = u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508400 and 13981.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/528 and (-1 - 1) + (-85)\/(-850).\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -557563 by 7853.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3401*o**2 - 7*o - 10. Let r be v(-5). Round r to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/45 and (-58)\/116 + (-138)\/4.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - (-1)\/((-3)\/(-6)). Let r = 11 - d. Let y = r + 7. Which is bigger: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10762592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -370 in -1, 1\/8, 71, 25\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = -5*h - 2, -5*f + h + 94 = 0. Let x(k) = 32*k + 15. What are the prime factors of x(f)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14533.42 days?\nAnswer: 20928124.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1480 and -24\/21571.\nAnswer: 862840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 59643*j - 7467390.\nAnswer: -3*(j + 126)*(j + 19755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 + 3*c + 3. Let h(n) = 15*n**2 - 25*n - 25. Determine 6*h(y) + 50*p(y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000427772658 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 452 and 0.4.\nAnswer: 180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1029)\/147 + -6*(-3)\/2. Put -122, -5, 0, b in ascending order.\nAnswer: -122, -5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(99)\/(sqrt(27)\/sqrt(3))) + (3 + sqrt(2)*-1 - (sqrt(50) + (sqrt(50)*1 + sqrt(50) - sqrt(50)))))**2 + -2 + 5.\nAnswer: -60*sqrt(2) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910781 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = -936018*y + 936016*y + 14, 4*y + 5*d - 28 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((31\/(-3))\/(12*(-42)\/(-3024)))\/(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 o when four letters picked without replacement from uuuddddooduo.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 7*c. Let q = -28 + 23. Let h be i(q). Let u(r) = h + 8 - 6*r - 18. Let d(x) = -x. What is u(d(n))?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:45 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-7807 + 7807 - 195*j).\nAnswer: 195*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1079 + -738. List the prime factors of v.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, f: 9, h: 3}. Give prob of sequence wh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9458988 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002393921107 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20441402 (base 5) in base 14?\nAnswer: -466c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u + 4034 - 3542 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 363 + -363.4. Which is the third smallest value? (a) o (b) -0.5 (c) -189 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 + 7*t + 6. Let x be g(-10). What is the common denominator of (x\/(-216) - -2)*(-534)\/(-8) and 302\/160 + -3 + 28\/10?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - r - 2, -5*d = r + 4*r + 10. Suppose -4*k + 5*u = -77, d*u + 2*u + 109 = 5*k. Let q = -29\/8 + -1. Find the common denominator of k and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}