diff --git "a/data/dm_maths/full_data/1149_11255.jsonl" "b/data/dm_maths/full_data/1149_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1149_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(v) = -v**2 - 16*v - 9. Is y(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2030\/(-58)*24\/(-84).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.21, 2.7, -0.8, -26.8?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94673959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -2, -4, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 897 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, 162, 479, 930, 1509, 2210, 3027?\n\"Answer: -g**3 + 76*g**2 - 44*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k**2)**(2\/73)*(k**4\/k*k\/k**(3\/5))\/(k*k**(-1))**(-41) assuming k is positive.\nAnswer: k**(1221\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 5*h - 5 = 10*q, 0 = -3*q - 5*h + 70. Solve -124*l - q = -121*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176597*o - 1391940*o + 13951519*o.\nAnswer: 11382982*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from kkkkkkkz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 11)*(0*b**3 + 6*b**3 + 5*b**3).\nAnswer: -165*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 1\/2*h**3 - 1\/8*h**4 + 0 + 1\/12*h**5 + 3*h**2 + 0*h. What is the units digit of r(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 12*f - 215*f**3 + 2 - 21*f.\nAnswer: -215*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -58*s - 48. Let y be w(-1). Suppose 4*l - 10 = -3*m, 13*m - y*m - l - 35 = 0. Solve 4*b + 56 = -m*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 59*x**2 - 19*x + 8. Let m be r(4). Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -23. Let f = 55 + -36. Let g = f - m. What is the closest to 0.1 in 2\/13, g, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286672 is divided by 709.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 190\/45 + -2 + 4\/(-18). Suppose -13 = 3*p - 4*a, 5*a = -5*p - 6 - 4. Is 4 a factor of (p + -3)\/((-1)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -435935468*c**3*h**3*p**3 - 4*c**3*h*p**3 - 318*c**3*h*p**2 + 3*c + 12263*h**2*p wrt h.\nAnswer: -2615612808*c**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-78)*4*1\/(-1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 3*a**4 + 2*a**3 + (1 - 4 + 2)*(-2 + 2 - 2*a**4) + (0 - 3 + 4)*(0 + 2*a + 0)*(4 - 4 + a**3).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/2)*(n\/((n**4\/n*n)\/n)*n)\/n*(n\/(n**(-3)\/n*n))\/n**(-5))**10 assuming n is positive.\nAnswer: n**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8430*r**3*x**3 - 90*r**2 + r*x**3 + r*x**2 + 7 wrt r.\nAnswer: -50580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*1 + (-1105)\/(-52) + -15.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2 + 260 + 247 + 259 - 957 + 226 - 2456*h**3 wrt h?\nAnswer: -14736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11200 - 2?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13333 - 231133?\nAnswer: -311132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12561.\nAnswer: 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033 is divided by 474.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -140\/3. Let j be (15\/20)\/(4 + (-51)\/12). Let z = -0.02 - -3.02. Which is the nearest to 1\/4? (a) j (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187)*-6 - sqrt(187)) + sqrt(187))\/sqrt(11).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n**3 + n. Let a be c(1). Let b(u) be the third derivative of -u**5\/60 - 13*u**4\/24 + u**3\/2 - u**2 + 4. What are the prime factors of b(a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(1\/2 - 0). Let p(c) = -c + 1. Let j(y) = -y**2 + 4*y. Let k(z) = q*j(z) + p(z). Let b be k(2). Which is smaller: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/(w**30*w))\/w)\/w**3 assuming w is positive.\nAnswer: w**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.091 + -0.007. Let r = n - 32.084. Which is the third smallest value? (a) -2 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -96 (b) 0.67 (c) 6 (d) 2\/3 (e) -50 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/26*3159\/(-162))\/28?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1512) + (sqrt(3402)*1 - sqrt(3402)))\/((-5*sqrt(216)\/sqrt(4))\/(-1*sqrt(324))) + 4.\nAnswer: -108*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/20 - 7*p**4\/12 - 2*p**3 - 10*p**2 - 2*p - 18. What is d(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5167423 is divided by 227?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = -1. Let k(l) = -l**3. Let b(m) = -5*m**3 - 12*m**2 + 12*m + 5. Let v(a) = z*b(a) - 4*k(a). What is the units digit of v(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0076313311 to seven decimal places.\nAnswer: -0.0076313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/198 and 181\/990?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 2 - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 1406. Let v be w(0). Let g be v\/(-14) + (-6)\/14. Suppose 0 = -m - l - g, 2*m - 2*l - 3*l = -214. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225.2 - 225. Let w = -51 - -151\/3. What is the smallest value in f, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:45 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145.5 + 146. Which is the closest to 1\/2? (a) o (b) -9 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -28*k + 33*k. Let n(t) = 0*t + 4 + 5 + t. Let u be n(k). Solve u*i - 5*i + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 24 = 15*b + 20*r, b - 3*r - 1 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 3*c + (3 + 2 - 4)*(0*c + c + 0*c) - 2*c + 3*c - 7*c)*(3 - 1 - 4).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24246149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 130 = 16*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.013 (b) 516 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1654 - -1654. Let p be ((-1)\/(-3))\/((-19)\/6). What is the closest to 3\/2 in 2, h, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2. Let b(o) = -8695253*o**2. Give b(v(a)).\nAnswer: -34781012*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 88.22.\nAnswer: 85.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 4*p + 2*x - 6, 3*p - 3*x = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25639 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: Expand (-2954*p**5 + 16810 - 16810)*(2 + 1 - 2)*(3 + 0 - 2).\nAnswer: -2954*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 - 5*i. Let d(z) = -33*z**2 + 21*z. Let b(r) = -6*d(r) - 26*x(r). Find the second derivative of b(a) wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1220.775 and -2.7.\nAnswer: 3296.0925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -276*i. Let b(f) = 19*f**2 + 146 + 151 - 297 + 4*f**2. What is b(p(k))?\nAnswer: 1752048*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1750)\/(-75)*(-18)\/8*2\/(-30)*3.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -340 - 2?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/28620 and -119\/110?\nAnswer: 314820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 48978*j**2 + 14*j + 15. Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -258810*q + 43591 with respect to q.\nAnswer: -258810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(300) + -1) - (sqrt(300) + 2*sqrt(300) + 1))**2 + 3.\nAnswer: 60*sqrt(3) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.71 + 26.7099796. What is x rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -74*x - 14*x. Let p(r) = r**3 - r**2 + 2 - 1 + 1. Let f(j) = -1 + 1 - j**2 + 1. Determine x*p(a) - f(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 9 = -2*a, -3*a = -8*a + 5*s - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = x - 2*p + 323, -3*p - 9 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001001 - 12?\nAnswer: -10001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -149481, -0.8.\nAnswer: -149481, -0.8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + j + 95. Let d(k) = -14*k - 93. Calculate the remainder when j is divided by d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 873*v**2 - 449*v**2 - 437*v**2 - 10*v to the form g + c*v + r*v**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/5, -1, 3\/2 in increasing order.\nAnswer: -1, -0.5, 4\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 - -d0141?\nAnswer: d0182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -11*c**3\/3 + 182. Let p(v) = 641*v - 641*v + 11*v**2. Give x(p(h)).\nAnswer: -1331*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69111230 + 1573.\nAnswer: -69109657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 3 + 2 + 9*p)*(4 - 5 + 2)*((-2*p + 0*p + 3*p)*(-2*p + p - p) - p**2 + 0*p**2 + 0*p**2 + 4 - 4 + 13*p**2).\nAnswer: 20*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 414*h**3 - 325*h**3 + 13*h**4 + 740*h**3 - 3 to z*h**3 + c*h**4 + x*h + u + j*h**2 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21037 and 15.\nAnswer: 21052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a. Let s(v) = 34*v**3 + 3*v**2 + v - 1. Let j be s(-1). Let x(g) = -g. What is j*x(z) + 4*i(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370294 is divided by 113?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -23*z - 1. Let i be v(1). Let u be (9\/4)\/((-6)\/i). Suppose -d + 2*o = 1 - u, -2*o = d - 4. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01751 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 1611 + 1583. Suppose 0*l + 4*l = -2*d + 16, c*d - 3*l = 65. Solve -11*i + 9 = -d*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -808 + 1217. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 25*z + 99. Let x be n(-4). Which is the fourth biggest value? (a) 0.07 (b) 0 (c) 2\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2432 less than -2431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.4 and 0.039?\nAnswer: 0.6006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 32*o + 62. Let m be x(30). Let y(j) be the first derivative of j**3 - j**2 + j + 2. Is y(m) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkr when three letters picked without replacement from {r: 2, i: 7, k: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2470 and 2090?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 643 - 322. What are the prime factors of s?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by 6904.\nAnswer: -105\/3452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 802*l + 2770. Determine p(-197).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(50))\/sqrt(10).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38600000 rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgggwgg. Give prob of picking 4 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23812.\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Let a = -5.01 - -0.01. What is the second smallest value in c, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/((-1505)\/42))\/(0 - 15\/(-50)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -71a?\nAnswer: -72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33.12, 0, -37?\nAnswer: 33.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0 - 4. Suppose -l*m = -82 - 138. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002 divided by -23?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -o + 176, -9*k = -13*k. Suppose -4*g + 6*b - b = -19, 0 = -5*g + b + 29. Let f = g - -10. Calculate the highest common divisor of f and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3608124745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*z + 2*z. Suppose -x + z = 2*x. Calculate the highest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000083817 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - 1.5. Let c = r - 0.3. Let g(o) = -o**2 + 6*o + 1. Let h be g(6). What is the closest to h in -3\/4, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 20*a - 293*a**2 - 138*a**2 + 426*a**2.\nAnswer: -5*a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 3. Let b(q) = -9*q**2 + 6. Suppose 27 = 4*r + 7. Let h(a) = r*c(a) + 3*b(a). Differentiate h(k) with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 46. Let o(g) = -2*g + 4. Let y(u) = -u + 1. Let n(b) = -o(b) + 4*y(b). Determine n(s(w)).\nAnswer: -2*w - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1842 take away -0.1?\nAnswer: -0.0842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**3*w + 12*s**3 - 16079*s*w + 1113 wrt w?\nAnswer: -s**3 - 16079*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 - 29*x**2 + 3*x**2 + 10*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:25 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 8:56 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u - 63*u + 7 = -v, u - 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 - 45*n**3 + 315*n**2 + 745*n + 390 = 0. What is n?\nAnswer: -13, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 5, -1609 in decreasing order.\nAnswer: 5, 2, 1, -1609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, 5, 0.0471?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4352, 8637, 12922, 17207, 21492, 25777?\nAnswer: 30062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4. Let d(b) = 6 - v + b - 5. Let m(z) = 3 - 3 - z**2. Calculate m(d(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067995 a multiple of 965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f**2. Let x(w) = 9687*w**2. Calculate s(x(a)).\nAnswer: -750703752*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17.2 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 4830296?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 40.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -131878\/36859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**3 - 4*y. Let s(x) = 24*x**3 - 3*x - 15. Let h(z) = 6*z**3 - z - 4. Let t(b) = 15*h(b) - 4*s(b). Determine -3*m(k) + 4*t(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**3\/2 + 67*i**2\/2 + 92*i. Let f be y(21). Solve 0 = -f*z - z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:49 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2)\/p))**(-42)*(p**(1\/2))**(-3\/5) assuming p is positive.\nAnswer: p**(-1683\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(((v*v**(1\/6))\/v)\/v)))**(-1\/15)\/(v**(-1\/23)*v*v**(1\/8)*v))**(1\/10) assuming v is positive.\nAnswer: v**(-671\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 9944*k**4 + 64*k - 96*k**2 + 9957*k**4 - 19905*k**4 + 36*k**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -23*1*3. Let v = -281\/4 + r. Let b be (-1)\/(-4 + -3 + 6). Put b, v, -1\/3 in decreasing order.\nAnswer: b, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/14 - -219\/154. Let v be -5 + 1 - (-6 - 2). Suppose 0 = -v*t - 17 + 25. Are t and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1161 - 366 = 5*m, -2*m + 4*f = -318. What are the prime factors of m?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12375990 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 35\/6 - (-2)\/12. Let i(g) be the third derivative of g**4\/4 - g**3\/6 - g**2. What is i(s)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s + 39. Let y = s - -11. Let k(t) = t**2 + 2*t + 1. What is the units digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.575 * 5.\nAnswer: 17.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((-4)\/8*-4). Let a be (-1 + r)\/(-2) + (5 - 2). Suppose -3*n - 2*w + 4*w = -74, 3*n + a*w = 82. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(224) + (sqrt(672) - (sqrt(672) + sqrt(672)*1 + sqrt(672)))\/sqrt(12))\/(-3*(sqrt(96)\/sqrt(2))\/sqrt(6)*-6) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*a - 9, -4*a = 3*o - 2*o + 13. Solve 0 = -b - 5*g + 25, -o*b - 2*g = -18 - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1153, 1148, 1143?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 45.1. Let j = -0.5 - -3.5. Let u = j + y. Which is smaller: u or 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*i**3 + i**2 + 2*i**4 - 13*i - 36*i**3 - 25*i**3 in the form y*i**2 + w*i**4 + s*i**3 + t + j*i and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 5*v - 2. Let w be z(4). Let n = -4690 + 4745. What is the units digit of n + w - (-17 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = 37*a - 48 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*x**4 - 54659*x**2*y**2 - 10*y**2 + 5132*y with respect to x.\nAnswer: -16*x**3 - 109318*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*w**3 + 1\/5*w**5 + 1\/5 - 3\/5*w + 2\/5*w**2 - 3\/5*w**4.\nAnswer: (w - 1)**4*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -44*r - 1. Suppose -2*p - 13 = -3*m, -4*p = p - 4*m + 22. Is c(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2662 and 25865323?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 106 = 2*n - h, -4*n + 220 = -4*h. Suppose -2*p + n - 221 = 0. Let r = 133 + p. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8314372 rounded to 3 dps?\nAnswer: 9.831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1760.\nAnswer: -1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 129?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/4)\/v*v*v)\/v)**(1\/4)*v\/v**(-1\/14)*v**(-7\/3))**33 assuming v is positive.\nAnswer: v**(-5357\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11120440 (base 5) to base 4\nAnswer: -113333011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - -8 - (1 - 2). Suppose h = 6*h - 25. Let k = h - f. Solve 0 = -2*y - k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9079*a + 8572*a**3 - 4542*a - 4*a**2 - 4 - 4587*a wrt a.\nAnswer: 51432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-455)\/56*(-544)\/1360.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-43 - -19 - -42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -4073 + 644. Find the third derivative of d - p*d**3 + 3*d**2 + 4*d - d**6 + 4*d**2 wrt d.\nAnswer: -120*d**3 - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14) - 45012\/(-2387).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.02 + 0.02. Let p = -2.99 - -3. Let t = p - -0.99. Which is the closest to 1? (a) t (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**4)\/o*o*o*o\/(o\/(o\/(((o\/((o\/(((o**15\/o)\/o*o)\/o))\/o))\/o*o*o)\/o))*o*o)*o)\/(o**(3\/17)*o**(1\/18)*o) assuming o is positive.\nAnswer: o**(-2825\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/30)\/(2\/3))\/((-12)\/70).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050917521 rounded to 5 decimal places?\nAnswer: -0.00509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*5\/10*3\/(-12)*88.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 39 = 8*q + 77, 0 = 2*b + q + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 6. Let v be -14 + (-1 - -2) - 2. Let k be (12\/(-10))\/(2\/v). Let o = k - 5. What is c(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842803, 3371167, 7585099, 13484593, 21069643, 30340243, 41296387?\nAnswer: 53938069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.028 (b) 1\/9 (c) -0.096 (d) -3 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2. Let r be n(1). Solve -g - 12 = -r*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybby. What is prob of sequence ybby?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -16*i + 60. Suppose -20*y + i*y = 10. Let g(r) = 2*r**2 - r - 3. Calculate g(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2999 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 19*j**2 - 21*j + 17. Let r(s) = s**3 + 3*s**2 + 4*s + 14. Let m be r(-4). Is i(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/158772 and -23\/32.\nAnswer: 1270176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/t**(1\/7)))\/t*t)\/t)\/(((t**(-1\/4)\/t)\/t)\/t)*(t*t\/((t**(-2\/9)*t)\/t))\/t**(1\/3))\/(t**(-40))**29 assuming t is positive.\nAnswer: t**(293399\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 491.0862 weeks?\nAnswer: 297008933760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 2*f - 8, -4 = 5*k - 4*f. Let d be (3 - 2)*(k - 1)*-3. Let u = -18 - -25. Solve d*t = 2*b + 4, -b - t = -0*b + u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*s + 5 = -12, -4*r - 5*s - 17 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 214 + 54 = 5*h, -2*v + 3*h + 82 = 0. Let c = -6 - -25. What is the remainder when v is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**3 - 9*u - 15. Calculate q(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-780))\/(1\/(-13)))\/((-2)\/17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 56932?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 244 and 161716785173.\nAnswer: 161716785417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-10)\/(-4))*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, -13, -3, 2.\nAnswer: -26, -13, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1680.94 + 1681. Which is the nearest to l? (a) -1\/4 (b) 0.5 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78694 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 - -248661?\nAnswer: 248634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 6. Let k be p(31). Suppose -4*j + k - 13 = 0. Solve 6*a - 12 = j*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) + (-14)\/18. What is the third smallest value in 0.1, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.2 and 1.83717.\nAnswer: 5.878944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -64. Calculate the smallest common multiple of 5 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5.9 (c) 11.998 (d) -37\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2057) + 3 - ((sqrt(2057) - (-5 + 1*sqrt(2057) + sqrt(2057)))**2 - sqrt(2057)))*3 - 5*(sqrt(2057) + -1)*-4*2)*4.\nAnswer: -25108 + 3344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/12 + 11*k**3\/2 + k**2\/2 - 22*k - 3. What is the tens digit of t(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5718?\nAnswer: -1\/5718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2945*w - 105198 = 12602 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2330 (base 4) to base 16.\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8851, -8853, -8857, -8863?\nAnswer: -8871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -580?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:51 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 500473, 500464, 500453, 500440, 500425, 500408?\n\"Answer: -l**2 - 6*l + 500480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -257. Suppose -w + k = 4*r + 6, w = -5*r + 17. What is the smallest common multiple of 2 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 12*u**2 - 149*u - 926. Give d(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 5. Let c be u(10). Suppose -87 = -3*m + 9. Let x = -304 - -307. Solve 5*y + 16 + 4 = 0, c*s - m = x*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -67.1. Let o = d - 3. Which is smaller: -3 or o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/176 or -1?\nAnswer: -23\/176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1512 = -51249*z + 51081*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22060 and 50.\nAnswer: 110300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*f - 4576, -5*s + 2*f + 424 = -5317. Calculate the greatest common factor of s and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-207)\/4968 - (-3410)\/48. Which is the third smallest value? (a) 2\/13 (b) -4 (c) x (d) 4\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11202210 (base 4) to base 2\nAnswer: -101100010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 0*y**3 + 2*y**3 + (-2*y**2 - 3*y + 3*y)*(-3*y + 3*y - y) + 987*y**2 + y**3 - y + 50 - 1979*y**2 + 991*y**2.\nAnswer: 4*y**3 - y**2 - y + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*s - 535*s + 1104*s - 5040 = 0 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*z = -851*z - 4386 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2653844 = -h, 3*w - 112503 = -3*h + 1877910. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 158. Let r(w) = 3*w - 164. Give 3*c(d) - 2*r(d).\nAnswer: 9*d - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430631 is divided by 1249?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 262\/3. Let j = 0.23 - 2.23. Which is the closest to n? (a) 1\/3 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -16 - (-10 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -191*b + 1396. Determine v(9).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-4)\/72). Let u = -5 - -10. Let p be (u\/12)\/((-3)\/f). What is the second biggest value in -1, p, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -36, -20, -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3073 = w, 5*l - 2534 - 1326 = 5*w. Calculate the remainder when l is divided by 189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, and 1 c when three letters picked without replacement from ovxocloaxolxloooov.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2227.3 + -2227. Let x = -6 + -8. Put x, g, 1\/2 in increasing order.\nAnswer: x, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(20\/(-5) - 8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - 17*u**2 - 59*u - 56. What is w(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -297b?\nAnswer: 297f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)*i\/i**(2\/5)*(i\/i**(-2\/5))\/i**(2\/3)*(i\/(i*i\/(i**(1\/3)*i*i)))\/i**6*(i*(i\/i**0)\/i)**(2\/41) assuming i is positive.\nAnswer: i**(-685\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10476 = -982551*b + 982454*b for b.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 128\/28 + 3\/7. Suppose 2*f - 9 = d, x*f + 0*f + 4*d + 10 = 0. Suppose -f*u**2 + 2*u**2 + 3*u**2 - 3 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-20*w + 5*w + 5*w) + 0*w - 4*w + 11*w + (2*w + w - 2*w)*(2 - 3 + 2) - 2*w + 6*w - 3*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177115.\nAnswer: 5, 47, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9379719.\nAnswer: 3, 43, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3089709.588 to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.0260055 and 12.\nAnswer: 24.312066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21222210 (base 4) in base 14?\nAnswer: -105da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/26 + 307\/234. What is l in 2\/3*l**2 + 8\/9*l - s - 2\/9*l**4 - 4\/9*l**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -5*j**9\/504 + 7*j**5\/60 - 3*j**2. Find the third derivative of x(r) wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 535*n**2 + 791 - 181*n**2 - 173*n**2 - 176*n**2 to the form j + h*n**2 + s*n and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2981367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -10*v + 12*v. Is v less than or equal to 5\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*p - 17. What is the fourth biggest value in 0.4, p, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 79 + 599. Suppose -n - 99 = -2*z. Calculate the remainder when z is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23075 is divided by 437?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/4))\/(v**(-22)\/v*v))\/(v**(-2\/39))**23 assuming v is positive.\nAnswer: v**(3733\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15207 - 1331 = -0*x + 2*x. Calculate the remainder when x is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:33 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008436475 rounded to seven decimal places?\nAnswer: 0.0008436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/5, 1\/33, -1, 1\/5?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1038450 divided by -3450\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 30 = 5*k. Let d be (k\/(-8))\/((-3)\/(-12)). Suppose -d*l + 5*b = -58, 3*l - 5*b = -3*b + 43. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 71*f - 1388. Let n be p(15). Is -1613\/5 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 44736196?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*d**2 - 61*d**2 + 58*d**2 - 59*d**2 + 99*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 85 = 2*z. Let w be z\/5 - (-18)\/30. Suppose 2*o + 2 = 0, -4*j + 19 = o + w*o. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 10:48 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18544497 to the power of 1\/2, to the nearest integer?\nAnswer: 4306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11960 and 37\/2208.\nAnswer: 143520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815588.57 rounded to the nearest one hundred?\nAnswer: -1815600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5787\/1928 or -2?\nAnswer: -5787\/1928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010001 (base 3) to base 10.\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 + 94782*s\/5 - 75816.\nAnswer: -3*(s - 31590)*(s - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 - 2 - (62 - 51))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*z - 355*z + 1 - 195*z + 766*z.\nAnswer: 24*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1958 + -918. Suppose 0*z - y = l - 3*z, 2*z - 2076 = 2*l. Let w = -2037 - l. What is w rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -19. What is the closest to -0.1 in 2\/9, g, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2216 by -19.\nAnswer: 2216\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313 = 2*a + c, 5*a - 31*c = -36*c + 3285. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1682*z**4 - z**3 - 2*z**2 + 28*z - 4?\nAnswer: -40368*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**0*h*(h\/(h\/(h\/(h*h\/((h*(h*h*h**(-21)*h*h)\/h)\/h)*h))))\/h assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3 + 1698664*l**2 + 1698670*l - 3397332 = 0.\nAnswer: -2, 1, 849333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-988)\/(-27588))\/(1092\/252).\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(363))**2.\nAnswer: -44*sqrt(3) + 370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 2. Let c be o(6). Suppose -s = -2*s + 2*k + 10, -4*k = c*s + 8. Solve -y = s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07836719 less than 5?\nAnswer: 3.92163281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 11*n**2 + 422468270718*n - 422468270718*n.\nAnswer: -11*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**3. Let y = 14 + -12. Suppose -87 = 5*i - y*w + 224, -53 = i - 5*w. Let u = i - -36. Let m(n) = 48*n**3. What is u*s(c) - 4*m(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + 25\/(-4). Let m(k) = k**2 + 6*k - 3. Let p be m(f). Let v(z) = z**2 - 11*z + 9. Let g be v(10). Sort p, g, 5.\nAnswer: p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -217\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.271754112 + 0.24605355. Let u = -0.0257 - t. What is u rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - 15149?\nAnswer: -15135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*d + 6, 4*q - 8 = -2*d + 2. Suppose 0 = -3*r - 12, 2*p + 2*r = 4*p - 106. Suppose 23 = q*b - p. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -1, -5\/12, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4454352 divided by 494928?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 5*s = -5, 1 = -2*p - s. Suppose -8 = -j - j. Sort j, -1\/3, p in increasing order.\nAnswer: -1\/3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 70. 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 2*j + 3*s = -2*s + 17, 2*s = -3*j - 2. Suppose 4*w + 5*o = 33, 2*o = -0 + 2. Let f = w + -5. Sort f, -2, j in ascending order.\nAnswer: j, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -61*h**2 - 2*h + 3. Let y be u(-5). Let n = -3109\/2 - y. Calculate the common denominator of -2 + 1 + 116\/16 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 + (((-96)\/(-54))\/(-8) - 42680\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {c: 1, q: 2, z: 2, j: 1, m: 3, a: 8}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - -0.2. Let y = -185 + 186. Let f = y - u. What is the third smallest value in f, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61207986 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.03 - -4. Let h = o + 0.146. Let b = h + -0.1. Round b to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 11*b**2 - 19*b - 12. Let i(p) = -p**2 - 2*p + 1. Let d be i(1). What is the remainder when a(6) is divided by (-14*4\/6)\/(d\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 30 = 2*r, -4*s + 10 = 5*r + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - (2 - (1 + -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 14 + 17. Let u(v) = -v**3 + 10*v**2 + 14*v + 2. Let b(w) = -w**3 - w**2 + 1. Let r(l) = t*u(l) - 2*b(l). What is the tens digit of r(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Let g(o) = -2*o - 3*o + x*o. Let s(l) = l. Calculate s(g(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**4 - 1191522*d**3 - 12362040 with respect to d.\nAnswer: 4*d**3 - 3574566*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 0.53754.\nAnswer: -4.46246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:30 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35000 and 1315450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3310300 (base 4) to base 5.\nAnswer: -1000124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-147))\/((72\/(-70))\/3)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*j = 3*j - 1559, 4*j + 1954 = -5*l. Let k = -25 + l. Find the common denominator of -69\/8 and k\/350 - 9\/15.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65654777, -65654784, -65654803, -65654840, -65654901, -65654992?\nAnswer: -65655119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 + 3*x**2 + 2*x. Suppose -5*p = -y + 14, -5*y + 28 = 224*p - 228*p. Let u(i) = -17*i**3 - 12*i**2 - 9*i. Calculate p*u(m) - 9*q(m).\nAnswer: -2*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 748355924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24868699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n\/n**(2\/7)))\/n))\/n*n\/(n\/(n\/(n*n**(-2\/25)*n)))*n)\/(n**(2\/5))**(2\/31) assuming n is positive.\nAnswer: n**(4169\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 24) + -5 + -28 + 17 + 29?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20)*b**(3\/2))\/(b**(-18)*b\/(b\/((b*b**(-6))\/b*b)*b)*b) assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 30*q + 4. Let z be p(3). Suppose 22 = -v + z. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = l + 4, 7 = 4*l - 9. Let z(n) = -39*n - 12. Let c be z(w). Calculate the highest common divisor of c and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 63*b. Let u(c) = -6*c**2 - 188*c. Calculate 7*h(v) + 2*u(v).\nAnswer: 2*v**2 + 65*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -127*a**4\/2 - 298*a**3\/3 + 77. Find the third derivative of s(f) wrt f.\nAnswer: -1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2014 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*x**3 + 19*g**2 - 30*g - 6*x**3 + 445*x + 1 wrt x.\nAnswer: 3*g**2*x**2 - 18*x**2 + 445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 26 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28845155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224257 divided by 5.\nAnswer: -224257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -1 + 2*a - 3\/2*a**2. Differentiate d(i) with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 15*q = 12. Solve -q*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*44\/(-297)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 46*i**3 + 31*i**2 - 20*i - 14. Let q(b) = 15*b**3 + 11*b**2 - 7*b - 5. Calculate 4*g(d) - 11*q(d).\nAnswer: 19*d**3 + 3*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-7)\/7) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 < 322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106800 and 930.\nAnswer: 3310800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 514.976l?\nAnswer: 514976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -459.5 - -460. What is the closest to -0.3 in 5, w, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 60*r**2 - 288*r + 448.\nAnswer: -4*(r - 7)*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 2*q**2 + 3. Let t be (23241\/7)\/3 - 4\/(-14). Let v(b) = 22 + 1110*b**2 - t*b**2 - 20. Give -2*f(s) + 3*v(s).\nAnswer: 2*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 + 12*t**2 + 7*t + 25. Let f be y(-4). Which is bigger: -45 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 19. Suppose 5*j = b + 30, 2*j - g = -2*b - 0. Calculate the remainder when 12 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13548*z**2 + 26240*z**2 + 92105*z**2.\nAnswer: 104797*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 710 - -610. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 2, 1556 in decreasing order.\nAnswer: 1556, 2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/9 + 8\/1. Suppose -r*x + 11*x = 12. What is the second derivative of x*h + 6*h**2 - 2*h**2 - 13*h**4 - 4*h**2 wrt h?\nAnswer: -156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1210 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27187 - -27244. Solve 36*k + 21 = m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29\/50 - 2\/25. Let l be (3 - -2)*3\/5. Let f be (-2)\/(-3) + 4\/l. Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 3:36 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -40*i - 72. Let x be z(-5). Determine k, given that -240*k - 12*k**3 + 5*k**4 - k**4 - x*k**2 - 567 + 439 = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2. Let i(n) = -n**2. Calculate 6*i(s) - 2*t(s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1070a0 + 6a?\nAnswer: -107032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -16 - 24 + 62 - 21 + c**3. Suppose 3*m = m + 4*n - 14, 2*m = -3*n - 7. Let x(s) = 6*s**3 - s**2 + 4. What is m*z(w) + x(w)?\nAnswer: w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 320 = 5*p, 3*c + 6*p = 2*p - 171. Let y = c + 96. Solve 3*s - y = -2*s - 3*u, 3*s = -2*u + 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-3\/8)*k*k*k))\/k**(2\/9))\/(k**(1\/4))**(-1\/12) assuming k is positive.\nAnswer: k**(-119\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 2*h**3 + 3. Let z(l) = 0*l**2 + 3*l**2 + 2*l**2 - 2*l**2. Give z(a(k)).\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -812, 20, -4, -11.\nAnswer: -812, -11, -4, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {p: 1, l: 3, o: 2, i: 4, f: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -68*d + 209. Let j be z(3). Put 784, -1, j, 4 in decreasing order.\nAnswer: 784, j, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4151 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23251*p**4 - 8606*p**2 - p wrt p?\nAnswer: 558024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(-3*sqrt(133) + sqrt(133))*5)\/(-2*-6*3*sqrt(343)).\nAnswer: -20*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 312*j**3 + 5*j + 7. Let k(h) = -468*h**3 - 7*h - 11. Give 5*k(b) + 7*y(b).\nAnswer: -156*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -213. Let x = 186.99999738 + g. What is x rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 208 = 3*l, -l - 3*v - 27 = 57. Let t be l\/16*(-5)\/(30\/8). What is the highest common divisor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*l - 32, -2*l - 18 = -3*z - 0*l. Suppose -z = -4*b + 4*a, -b + 5 = 2*b - 5*a. Suppose 2*v + b*v - 6 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdapauu. What is prob of sequence ds?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70054*y**2 - 57022*y**2 - 14899*y**2.\nAnswer: -141975*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5549 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1234 + -1731.8766. Let y = m - -1808.7. Let l = -68 + y. Round l to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -10766573575713.\nAnswer: -10766573575715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5653 is divided by 1877.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 9*r**3 - 2*r**3 + (-2*r - r + r)*(0*r**2 + 0*r**2 - r**2).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5*p + 2. Let l(g) = 4*g**2 + 4*g - 2. Let x = 5 - 7. Let k(s) = -3*s**2 - 3*s + 1. Let h(q) = x*l(q) - 3*k(q). Give -3*h(n) + o(n).\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10046, 49, -2, 5, 2 in ascending order.\nAnswer: -10046, -2, 2, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**3 + 3*t**3 - 5*t**3 - 13*t wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let u(g) = -7848*g - 1. Determine u(v(s)).\nAnswer: -15696*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*i**3\/2 + 57095*i**2\/2 + 571475*i\/2 + 1429125\/2 = 0. Calculate i.\nAnswer: -5, 57165\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3658 and 12 + 61*(-15)\/70?\nAnswer: 25606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**9\/10080 + v**8\/2240 + v**7\/1680 + v**4\/12 + 7*v**3\/2 - 61*v. Let a(y) be the third derivative of j(y). Factor a(u).\nAnswer: 3*u**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 17 - 2. Let i be (3 - 2) + h\/4. Let v be (14\/4 + -5)*80\/(-210). Which is the closest to i? (a) v (b) -2\/17 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.9 take away 549?\nAnswer: -503.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) -2 (d) 6827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/5 + (-4)\/(-10). Suppose w = 2*w - z. Let d = 10 - w. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((132\/11)\/12)\/(-9))\/((-57)\/(-57))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -213, -416, -629, -858, -1109, -1388, -1701?\n\"Answer: -l**3 + l**2 - 199*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7)*1)*-6.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 2. Suppose -d = 1, 3*d + 3 = 3*n - 18. Let l be g(n). Is 15 a factor of (-183)\/(-12) - (-2)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let h = 0.1 + u. Let x = -48.1 - -44.1. Which is the closest to 4\/9? (a) h (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*c**2 - 33 + 33 to the form g*c**2 + z + r*c and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 323954571 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(35)\/(sqrt(7) + 2*sqrt(7) + sqrt(7))*5)**2.\nAnswer: 157\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90190?\nAnswer: 2, 5, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -2. Let j(r) = -2 + 21*r - 19*r + 4*r**2 - 3*r. List the prime factors of j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868738 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 98 * 1.82\nAnswer: 178.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*-36982.594\nAnswer: -4807.73722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3\/5 (c) 1\/4 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 884 - -57a33?\nAnswer: 586b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.060111 + -0.2.\nAnswer: -0.139889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 7*d - 26. Let p be (-14)\/35*(6 - 31). Determine q(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -1\/3*j**3 + 1\/180*j**6 - 1\/30*j**5 + 0*j + 1\/12*j**4 + 0 - 2*j**2. Let g(v) be the first derivative of h(v). Factor g(t).\nAnswer: 2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 4306.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6586 + -283212\/43. Find the common denominator of (-1332)\/280 - ((-13)\/((-260)\/(-6)))\/(-3) and p.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**2 - 8*c - 12*c**2 - 13*c**2 + 8*c.\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 2*o\/3 + 4.\nAnswer: -2*(o - 3)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/34)\/((-3088)\/26248)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 73, 114, 155, 196, 237?\n\"Answer: 41*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 + 2*h - 1. What is w(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 60. Suppose n = 11*s - 5*s. Solve -s = -q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y**2 + 5*y + 19. Is z(-3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30140\/(-2145) + (-2)\/(-39)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 + 5*l + 1. Let m = -3 - 2. Let o(r) = 7*r**2 - 4*r. Let w(u) = m*o(u) - 4*b(u). What is the derivative of w(z) wrt z?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(13) - (sqrt(13) + sqrt(13)*3))))**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dodoodoood. What is prob of sequence dood?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from hzzhzzhzhhhhzz?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7506, -1, 5, 4, 3 in ascending order.\nAnswer: -1, 3, 4, 5, 7506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 376271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 17*c - 13. Calculate j(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -281. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 73. Is 8 a factor of n(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12566*v**3 - 4*v**2 - v + 4. Let r be h(-2). Suppose -3*o - 27618 = -r. Round o to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*o + 487, -m + 78 + 433 = 5*o. Calculate the remainder when 279 is divided by o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (12 + 0 + -45 + -13).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2 + 40*p + 400 = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -24*i - 13. Let h be r(-2). What are the prime factors of 516 - 42\/h*5?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 465267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1249161682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -38*y**3\/3 + 8*y - 39. Differentiate v(s) wrt s.\nAnswer: -76*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 57093824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.400961 to 1 dp.\nAnswer: 56.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1123177232 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48707281 by 7.\nAnswer: -6958183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23398361 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 36*m**2 + m + 21. Let r be q(-5). Suppose 0 = v - 3*v, -2*c = -5*v - r. Suppose -2*u + 4*g - c = -4*u, 3 = g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - j**2 - j\/2.\nAnswer: -j*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 - 1020*r**2 - r + 346. Give k(340).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**5 + r**4 - r**4 + (-4*r**5 - r**5 + r**5)*(-81 + 168 - 57).\nAnswer: -128*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b + 2)*(-3 + 2 + 3)*(b**2 - 3 + 3).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11713 + -11712. Which is greater: b or -12\/103?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41036 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 44 = -0*h - 2*p, 5*p = -5*h + 25. Suppose 8*l - 3*l + 75 = 0. Calculate the remainder when 98\/6 + (5\/l)\/1 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:04 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 12*t**2 + 27*t - 16. What is the least common multiple of 200 and q(11)?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2075 and 747.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*f + 125, 3*y = -2*f + 95 + 28. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -497, -1269, -2663, -4883, -8133, -12617, -18539?\nAnswer: -26103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 18 = -d, b - 5*d = 3*b + 1. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5582589 is divided by 2305?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2. Suppose 3*f + 5 = -4*u, 0*f + 3*u = 5*f + 18. Let w(t) = -3*t. Let p(h) = -3*h. Let l(g) = f*p(g) + 4*w(g). Give c(l(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7)*-3 - (3*sqrt(14))\/sqrt(2))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c - 10. Let y(k) = 7*k**2 - 6*k - 5. Calculate the smallest common multiple of y(7) and b(-3).\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5*u + 2. Let p be q(5). Suppose -p*f = -6*f + 8. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let h(p) be the third derivative of p**7\/5040 - p**5\/30 + 5*p**2. Let r(v) be the third derivative of h(v). Give r(w(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, -0.3, -0.2, 15 in descending order.\nAnswer: 15, 0.4, -0.2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**2. Let y(x) be the second derivative of x**3\/6 - 9*x**2\/2 + 2*x - 97. Calculate y(k(o)).\nAnswer: 10*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 62 - 55 + 13*c + 187 to the form x*c + b and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*u**2 + 5*u**3 - 4*u**3 + 52*u**2 - 4*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = -0. Let o(y) = y**2 - 4*y + 2. Let i be o(4). Suppose c + 0*c + 23 = -n*u, 0 = i*c + u + 43. What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 0.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-60))\/((11\/(1309\/(-765)))\/((-8)\/(-14))).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:20 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 8*k + 10. Let p be h(-9). Let r = p - -5. Solve n = 2*d + 12, d - 31 = r*d - 3*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-12))\/((-20)\/120).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439 + -297. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6673 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: Expand (-22*f - 11 + 11)*(21 + 48 - 23).\nAnswer: -1012*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*(3234\/484)\/(-49)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 32. Let l be 20\/a - 10*-2. Solve -2*i + 20 = -4*r - 3*i, -2*i + l = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2401 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 4 - 3*i**3 - 109*i**2 + 0*i + 115*i**2 + 2*i**3. Calculate y(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 12*s**4 + 9 - 31*s**4 - 11 + 3*s**2 in the form p*s**2 + y*s + a*s**4 + u + w*s**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -16*g + 1216. Differentiate -g*w**2 + 26*w**2 - 83 + 81 with respect to w.\nAnswer: -100*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v - 73*v = -1296. What is the lowest common multiple of 81 and v?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -3 + 1 + 626 + -637?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(720) + 2 - sqrt(720))*2 + sqrt(720))*2 + 5)**2.\nAnswer: 624*sqrt(5) + 3054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 8*z + 137, -5*x + 58 - 153 = -5*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 65.253. Let i = r - 0.25187. Round i to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/64, 0, -5, -2\/21, 0.1, 0.005 in increasing order.\nAnswer: -5, -2\/21, 0, 0.005, 1\/64, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = 4*j, 15*h - j + 7 = 17*h. Suppose -w = 3*u - 12, 9*u - 5*u = h*w - 34. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 2*a - m - 13, -a - 5*m + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as -686.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/434*79 + 3918\/9142?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 103222?\nAnswer: -103233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9*(-28)\/(-21) - 39746)\/(-1)?\nAnswer: 2, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 3*h + 3*h)*(-4 + 2 + 3) + h + 3 - 3 + (-2 - 2 + 3)*(-3 + 3 - 2*h) + 3*h + 3*h - 2*h - 3 + 1 + 2*h - 2 in the form s + x*h and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 236736*p - 65990*p - 275376*p.\nAnswer: -578102*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_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: Calculate the remainder when 6026 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1342.6 + -1341.3. What is the smallest value in -3, 5, -0.3, q, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-5)\/r*r**(-4)*r**(4\/7)*r*r**4 assuming r is positive.\nAnswer: r**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.5 - -11.5. Sort -5, l, -4 in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1339 - 1039.1339. Let f = g - -1094.3. What is f rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -282, -1\/1023, 0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + 0 + 11 + 0 + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -1 - (8 - 10) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1\/3707 (b) -1 (c) -178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 6*y - 2*y + 8, 4*l = -3*y - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/2 - 65*u**4\/2 + 1287*u**3\/2 - 10099*u**2\/2 + 15316*u - 10878 = 0. What is u?\nAnswer: 1, 6, 7, 14, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p + 4*m - 3, 4 = -4*p + 4*m. What is the tens digit of 6 + 10 + (4 - p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/9)*((u*u\/(u\/u**0))\/u)\/u)**(-20) assuming u is positive.\nAnswer: u**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/2 (b) -1\/6 (c) -0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*m - 2*g - 9, 2*m = -2*g + 10. Solve -a - 3*i - 7 = -3, -4*i - 16 = -m*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001334 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-9))\/(51\/3 - 3\/9). What is the second smallest value in v, 1\/55, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 205*j + 181. Is d(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 30*f**2 - 96*f - 128.\nAnswer: -2*(f - 8)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -133*f**3\/6 - 49*f**2\/2 - 8*f. Let w(i) = -11*i - 4. Give -4*n(l) + 49*w(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - 3*t**3 - 3*t**3 + (-2*t**2 + 5*t**2 - t**2)*(-2*t - t + t) + (-437 - 432 + 1022)*(-2*t**3 + 2*t**3 - t**3) + 2*t**2 + 3*t**3 - 2*t**2 - t.\nAnswer: -156*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/12844 and -93\/10.\nAnswer: 64220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073424.\nAnswer: 2, 129589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 8*y = -67. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 994.0908 milliseconds?\nAnswer: 994090800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 4*u + 2*u)*(u**2 - 3*u**2 + u**2) + u**3 - 5 + 5 - 3*u**3 + 3*u**3 + u**3 + 5*u**2 - u**3 + 12 - 12.\nAnswer: 2*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 15. Let y = x - 32. Which is the second smallest value? (a) -2\/5 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 8*p**4 - 23*p**3 - 28*p**2 - 12*p.\nAnswer: -p*(p + 1)*(p + 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 - 164626822.\nAnswer: -164627133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340685119 to the power of 1\/2, to the nearest integer?\nAnswer: 73080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 181483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2329696811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 2206, 7505, 17824, 34837, 60218, 95641, 142780?\nAnswer: 203309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 - (-1195)\/20. Let z be (-6)\/(-4) + j\/(-80). Which is smaller: 1\/8 or z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/4 + 1*2. Suppose -3*q - 5*b - 20 = 0, 10*b - 7*b = q - 12. Suppose -y*s - 60 + 282 = q. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/141342 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7495941 days to milliseconds.\nAnswer: 64764930.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -32*k**2 - 1650*k + 4216. What is l(-54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 7:12 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 22*u**2 + 3*u + 1. Let l(v) = v**3 + v**2 + v. Give -3*l(r) + t(r).\nAnswer: -2*r**3 - 25*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -5*k**2 - 25\/6*k**3 + 3*k + 10*k**4 + 27\/4*k**5 + 0. Find u, given that c(u) = 0.\nAnswer: -1, -2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 900*z + 2673.\nAnswer: 3*(z + 3)*(z + 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 36. Suppose -7*t - 10 = -j. Suppose 2*c + 2*c + 8 = t, 14 = -2*i + 5*c. Which is bigger: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -97\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4, 5*q - q - 2352 = -4*s. Suppose -3*a + q = -l - 728, -5*a - 2*l + 2199 = 0. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from frrfrff?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/80 + 21*z**4\/32 - 23*z**3\/4 + 349*z**2. Factor d(p).\nAnswer: 3*(p - 2)*(p + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -6 (c) -2 (d) -46 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + -7. Let m = 74.05366 + 0.01734. Let p = l + m. Round p to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -463780*m - 29681942. Give q(-64).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002121220 (base 4) in base 6?\nAnswer: -34404012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*m**3 - 1 + 9 + 65*m**2 - 2.\nAnswer: 2*m**3 + 65*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -2, -2\/5, -1.08?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u + 14. Let s be d(6). Suppose 2*l + 411 = s*x + x, -3*x = 5*l - 432. What is the lowest common multiple of 5 and x?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2664, 12077, 28240, 51153, 80816, 117229, 160392?\n\"Answer: 3375*f**2 - 712*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468 = -15*c + 3733. Is 60\/15 - c*-7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/6 - 39*y**3\/2 - 163*y**2\/2 + 605*y\/6 = 0.\nAnswer: -5, 0, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637038.\nAnswer: 2, 3, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*r = 712, 5*l - 4*r - 2482 - 1021 = 0. What is the remainder when l is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3967 (b) -217 (c) -1\/8 (d) 2\/3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1358656 and 61\/169832?\nAnswer: 1358656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(4\/(6\/(-18) - -1))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14598.765 and 0.5.\nAnswer: 14599.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {a: 7, v: 5, t: 4}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:34 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 + -148. Suppose -3*g + 2282 = -y + 6*y, -n*y + 1369 = 2*g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/110 and -3\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let r(v) be the third derivative of v**5\/30 + 7*v**2. Calculate r(i(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 55, 14, -97, -302, -625, -1090, -1721?\n\"Answer: -4*j**3 + j**2 + 30*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 1, r: 14, l: 1, o: 1}. Give prob of picking 2 o, 1 a, and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4276 and 18.\nAnswer: -4258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c**(-9))\/c))\/c*c)\/((c**(-2\/27)\/c*c)\/c)*(c**(3\/5)*c)\/(c\/c**22) assuming c is positive.\nAnswer: c**(4546\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 11. Let u be y(-7). Suppose u*v - 6 = -h - h, 3*h + 2*v = 21. Let g be (4\/(-6))\/((-3)\/h). Solve -g*w - 2*n + 10 = 0, -2*n = -3*w - 0*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3819 = -153*p - 1179 - 3142 + 643 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/sqrt(9) + sqrt(19))**2*4 - ((sqrt(171)*-1)**2 + sqrt(19))) + 6*(2 + sqrt(475))*-3.\nAnswer: -91*sqrt(19) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612, -611, -610, -609, -608?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490 and 4540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 9 + 18)*(2 + 2 - 1)*(-1 - z + 1) - 51*z + 39*z - 114*z.\nAnswer: -123*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 23. Find the common denominator of -81\/10 and (-94)\/r - (-2)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30980174303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12457*h + 25765*h - 49950*h.\nAnswer: -11728*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -27. Let l be -2 + 7\/((-7)\/(-18)). Let n = m - l. Calculate the least common multiple of n and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1482 + -3?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:29 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 12644*h + 4558360 = 0. What is h?\nAnswer: -2746, -415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/2 + s. Let n(f) be the first derivative of 3*f**2 - 42. Determine q(n(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1433 divided by -5791\nAnswer: -1433\/5791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-5*i - i + 4*i) + 8 - 8 - 8*i + (0*i - 4*i + 3*i)*(-2 + 1 - 1).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x - 5. Let b be 93\/(-9) + (-4)\/6. Let k = b - -11. Calculate n(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 302 = -2*b. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -377135?\nAnswer: 76\/377135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3234 and 40672401?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 6, w: 2, u: 3, g: 2}. What is prob of picking 2 g and 2 w?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 5\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + (-63564)\/(4 - 6). Let a = s + -14927. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*-2)**2 - sqrt(1331)) + 4.\nAnswer: -11*sqrt(11) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18233 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000182068113 to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.24578 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 r when three letters picked without replacement from {j: 1, r: 1, p: 6, v: 3, f: 4, h: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99358 divided by -1057.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 50?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t + 1. Let o(b) = b**2 + 7*b - 6. Let p(l) = -6*l + 5. Let u(k) = -2*o(k) - 3*p(k). Suppose 5*f + 4 = f. Give f*u(q) - 3*s(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -337, -65118, -4 in increasing order.\nAnswer: -65118, -337, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 3*d + 23, -2*m + 5968*d = 5964*d - 26 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3332 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 6) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 455605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*368\/1932\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b45 + -1?\nAnswer: 3b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1244323 - -2340?\nAnswer: -1241433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*g - 963 = -66*g + 1531 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*b**2 - 356*b + 120.\nAnswer: -4*(b + 30)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -100*f - 14. Let v(r) = 20*r + 3. Let p(o) = 3*u(o) + 16*v(o). Let h be p(-2). Let q = h + 37. Solve -g = -s + q*s - 11, -3 = -g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2. Let u(p) = -25*p + 238. Let c(b) = 16*b - 159. Let g(f) = -8*c(f) - 5*u(f). What is i(g(r))?\nAnswer: -18*r**2 + 984*r - 13448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5685094 greater than -5685106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 6, 4\/3, -37, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68014 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -52147 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49000 = -27*v + 9455. What are the prime factors of v?\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259\/6928 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:48 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, a: 4, k: 1}. Give prob of sequence dadd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, 2\/11, -2\/3, -4 in increasing order.\nAnswer: -11, -4, -2\/3, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 11142 + 42662. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.886 - -6.86. Let u = m - 0.094. What is u rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1773 = 2*v + 8213. Let n = 3117 - v. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f - 2. Let o be z(2). Suppose 3*i - o*v = -4*v + 16, -3*i - 5*v = -23. Let a(t) = -3 - t + 3. Calculate a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*t - 712, 3*k - 4*t - 209 = 318. Suppose 4*a - 23 = -7, -4*a = -5*w - 21. Sort -2, k, w.\nAnswer: -2, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-1 - 4 + 3)*(3 - 3 + 2 - 2 - 1 + 2 + 1 + 0 + 0 - 3 + 0 + 5 + (0 + 3 - 2)*(1 - 4 + 1))*(294 - 294 + 585*w).\nAnswer: -4680*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 252, 393, 610, 915, 1320?\nAnswer: 1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, 923.27, 2, 3, 0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y + 2. Let o(u) be the second derivative of u**3 + 3*u**2\/2 + 192*u. Calculate -5*k(b) + 4*o(b).\nAnswer: -6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:13 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 <= -6409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6840\/(-167580))\/(1\/(-1323)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-71.\nAnswer: -78.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - y - 2. Let a = 9 - 5. Let n = a + -6. What is the tens digit of i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1)*-4.\nAnswer: -20*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*t - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j - 15*j + 10*j**2)*(3*j - 2 + 2 + 1).\nAnswer: 30*j**3 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1621*h**2. Let k(c) = c**2. What is s(k(n))?\nAnswer: 1621*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n + n + n. Let z(w) = -7*w. Let q(i) = i. Let y be 2*3\/((-18)\/(-3)). Let j(f) = y*z(f) + 6*q(f). Determine m(j(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 61144\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94882491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37073 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 23*h**3 + 12 - 25.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13) + 0 + 1.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*v**4 - 59*v**4 - 43*v + 4*v**2 - 2*v**2 - 64*v**4 to the form f + u*v**2 + z*v**3 + i*v + w*v**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**8\/4032 - 7*d**5\/60 - d**2. Let i(m) be the third derivative of q(m). Let k(n) = -n. Calculate k(i(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 1. Let v(j) = -3*j**3 - 11*j**2 - j + 3. Give -3*h(q) - v(q).\nAnswer: 3*q**3 + 8*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 - 6 - -39)*(-14)\/(-4). Suppose -5*p + d = -204. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 4?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 131 + 3. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + w. Suppose -d = 2*d - 2*g + 19, d - 4*g + 23 = 0. Let a = -3 + d. Let i be -1 + -1 - (7 + a). Give v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, g: 5}. What is prob of sequence vgvv?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35407157?\nAnswer: 35407157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9*246 - (1 - 0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -3035.\nAnswer: 303.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/6 + 8*a**3\/3 - 43*a**2 + 87*a. Find the first derivative of o(y) wrt y.\nAnswer: -4*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11303 divided by 86648?\nAnswer: -11303\/86648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 11*d**2 - 19*d + 10. Let l be x(9). Let n be (2 - 4 - l)\/1. Let u be 8\/68*(2 + (n - -2)). Which is the closest to 0? (a) u (b) 4 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10672 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2100 = -23*n - 52*n + 825 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + w + 0*w. Let k = 15 - 12. Suppose 37 = -16*y + 5. Let v(a) = -2*a. Calculate k*s(g) + y*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17*v**2 - 14*v + 151. Calculate the lowest common multiple of 10 and x(7).\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - -31 - 1*-2. Differentiate -v + h**4 + 34 - 2*h**4 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z**2 - 6144*z - 6150. Give l(513).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let j be (3\/6 - i)*212. Suppose 4*p + 6 = -j. What is p rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 51*i + 82 = 0. Suppose 2*o + 4 - 394 = 0. Suppose -5*p - o = -5*g - 0*p, 0 = 3*g - i*p - 114. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212\/791 + 2\/113. Let z = -0.24 + -0.06. What is the closest to 1 in i, 2\/19, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284496 divided by 1571\nAnswer: 284496\/1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121146 is divided by 120782?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 9*u**2 - 4*u - 27. List the prime factors of h(-11).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -18)\/((-49)\/(-2) - 56\/7).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 + 277. Let f = h + -45. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.885262885 - 0.085523885. Let x = s - 47.8. What is x rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(4*d - 13*d - 5*d).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 6821667a?\nAnswer: -6821667a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + p - 1. Let d(h) = -h**3 - 8*h**2 + 22*h - 28. Let l be d(-10). Let k = 49 + l. Give f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 5. Let x(m) = -17 + 4*m + 22 + 0*m - 14. Determine -5*r(d) + 3*x(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30758133 and 777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000115017 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*w - 11880 = 6950 for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m + 61. Let j be l(8). Suppose 0 = 2*d + 2*y + 42, -37 = 5*d - 4*y + 23. Let i = 11 + d. Sort -12, j, i in ascending order.\nAnswer: -12, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242328 by -40388.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -t, 2*t - 4*r = -r + 24. Suppose -2*x + 15 = 5*u - 3*x, -u = 4*x + t. Suppose -64 = -2*q - u*q. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 30. Let q = 53 - 101. Let l = p - q. What is the remainder when 61 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**2 + 72*t - 2*t**2 - 30684 + 30218 with respect to t.\nAnswer: 6*t + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*q**3 - 26*q + 0*q**3 - 8*q**2 + 26*q wrt q.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -297ba - 4?\nAnswer: -297c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2671 (base 13) to base 7.\nAnswer: 22015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*z = 3*z - 22, 0 = u + 5*z. Let r(b) = -b**3 + 5*b**2 - 4*b + 5. Let x(v) = 1. Let s(m) = r(m) - 5*x(m). What is s(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qbqdbibcdqddbf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -5, -244, 5, 1, 55 in descending order.\nAnswer: 55, 5, 4, 1, -1, -5, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Let a(i) = -8*i**2 - 4*i + 4. Let c(k) = -a(k) + 6*x(k). Let w be (-2)\/4 - (-63)\/(-14) - -4. Is 2 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 793, 1600, 2405, 3208, 4009?\n\"Answer: -m**2 + 810*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 - (-129)\/9. Suppose m - 3 = 3*g. Suppose 4*r = 3*i - 42, i = -4*r - 0*r - 2. Calculate the highest common factor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*i**2 + 71*i**2 + 85*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(21)\/sqrt(3) + 1.\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 15)\/3 - -13. Is (30\/(-9))\/((-3)\/k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 16*d**2 - 16*d - 10. Let q = 1896 - 1911. Calculate w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + k - 3714, k - 4944 = -4*x - 3*k. Let i = x - 44. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 349 - 329. Put n, 1, -3 in increasing order.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 73.68. Let k = 4.62 + o. What is k rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*z - 7. Let l be (-2)\/1 + 2 + 1. Let h = l + 3. What is the smallest common multiple of h and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 2. Let i(a) = 378*a**2. Calculate i(d(n)).\nAnswer: 3402*n**2 + 4536*n + 1512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1427569, 1427706, 1427845, 1427986, 1428129?\nAnswer: 1428274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37\/3 + 623\/51. Let g = -1988 - -1988. Which is the closest to 0.3? (a) -4 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -21. Let i = -6 - g. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834055 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 10*j + 235. Let u be q(21). Suppose -p + 3*f - 5 = -27, -4*f - 64 = -4*p. Put -1, p, u in descending order.\nAnswer: p, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12*6\/52.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14609 and 3341287.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -4.12. Let d = 0 - 0. What is the third biggest value in 5, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259*4\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 = 2*y + 5*l, -3*y + l + l = -979. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 9 = 6*d, 4*d - 7 = 13*a - 16*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 18*w**2 + 8. Does 18 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9528 take away -0.432759?\nAnswer: 2.385559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 1064130\nAnswer: 31923900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Let n be ((-6)\/(-3))\/(0 - 12\/(-6)). Sort n, x, 3 in ascending order.\nAnswer: x, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 - 28*v**2 - 338*v - 308 = 0. Calculate v.\nAnswer: -7, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4, -2*z - 9 - 5 = -5*o. Let x be (-13)\/z - (-5)\/(-10). Let y = 10 + x. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3\/6 + t**2\/2 + 9*t. Let u(x) = -401*x + 197*x + 207*x. What is b(u(s))?\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-22)*(-55)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -4, 208, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -300 - -299. Which is the nearest to f? (a) 8 (b) 0.3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 855 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + (1 - 2 - 1)*(-1 + 4 - 1))*(-4 - 1 - 2 + (-1 + 7 - 3)*(-2 + 2 - 1))*(0*a**3 - a**3 - 3*a**3).\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021746 rounded to seven decimal places?\nAnswer: 0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 9. Let v be p(-10). What are the prime factors of 5\/(25\/380) - 0\/v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66\/7*c + 69\/7*c**2 + 0 - 3\/7*c**3 = 0. What is c?\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose 4*v + 8 = -4*u, 2*u - 6*v = -v + 3. Let s = 0 + u. Let j(l) = l**2 - 2*l + 11. Let f(p) = p**2 - p + 7. Let m(y) = -8*f(y) + 5*j(y). What is m(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minus -0.182485?\nAnswer: 25.182485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12ef (base 16) to base 12.\nAnswer: -297b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2) + (-689)\/(-26). Let n = -28 + b. Sort -2, 5, n in descending order.\nAnswer: 5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmozaazafzoako. What is prob of picking 1 f, 1 k, 1 z, and 1 a?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 3)*(6 - 6 - 10)*(-5*p + 3*p + p)*(-3 + 1 + 3).\nAnswer: 90*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 539 + -539.1. Which is the closest to 17? (a) 1\/3 (b) -5 (c) w (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/2*(-126)\/336.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 1. Let g(t) = -8*t + 8. Let f(x) = 39*x - 40. Let l(z) = 2*f(z) + 11*g(z). Let s(q) = l(q) - 8*p(q). Let b(i) = i. Determine s(b(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:10 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20001 - (-3 - -2))*(-3705)\/38. Round i to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203799 = -p + 4*p. Let s be (p\/(-3))\/((-4)\/12). Let c = s + -4933. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2 - 3*d + 5. Give h(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6*k - 22 = -k, 2*w + 19 = -5*k. Suppose 5*i - w*t - 47 = 48, -5*i + 4*t = -95. Suppose -2*l + i = -29. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(33\/11)*598\/46?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -0*z. Suppose 2*a = 5*y + 8 - z, 0 = -2*a - 5*y + 15. Suppose -88*s + 95*s = 28. Calculate the remainder when a is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -3*l + 2*y, -13*y + 12*y - 24 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**7*y))\/y*y)\/(y*y**4)*y**(-1\/2)\/(y*y\/(y**(-4)\/y*y)))**(-1\/2) assuming y is positive.\nAnswer: y**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 5:01 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*i**2 - 790*i**2 - 142*i + 394*i**2 - 53*i**3.\nAnswer: -53*i**3 - 2*i**2 - 142*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -140*m**3 - 24*m**2 + 12*m + 323. Let v(o) = -56*o**3 - 10*o**2 + 5*o + 129. Determine -5*j(b) + 12*v(b).\nAnswer: 28*b**3 - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/55)\/((-2)\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 90872152*r - 1032218501138888.\nAnswer: -2*(r - 22718038)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 - 78 - (9 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377893 is divided by 2576.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2536.79 and 44.\nAnswer: -111618.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 3, -3 in ascending order.\nAnswer: -4, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6*z + 14 = -2*z, 4*z - 42 = -3*a. Calculate the smallest common multiple of 11 and a - ((-6)\/(-1))\/3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13875 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 14, 69, 178, 359, 630?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 + 296*p**3 + 14400*p**2 + 220000*p - 500000 = 0.\nAnswer: -50, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1739136.\nAnswer: -5\/1739136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2868303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzszsszszz. Give prob of sequence zs.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, h: 2}. What is prob of picking 2 c?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(2\/7)*d**(-1\/3)\/d*d**(9\/5)*(d\/(d**(8\/7)*d)*d)\/d assuming d is positive.\nAnswer: d**(169\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -335 - -335. Solve 4*r + 20 + o = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.17 + -17.57. Which is the smallest value? (a) 0.05 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 266*q**2 + 35 - 512*q**2 as u*q + t*q**2 + x and give t.\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.6. Let p = m + 0.16. Let a = p - -0.14. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -221*h**2 + 1 + 222*h**2 - 179*h + 175*h. Suppose 0 = 5*a - 13 + 3. Suppose -i = 3*l - 18, -3*l - a*i - 5 = -26. Determine m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 1. Suppose -91 = -q*a - 259. Is (9\/(-12))\/(3\/a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4305*x + 4345*x - 8672*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24129, -24131, -24133?\n\"Answer: -2*t - 24127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) -0.2 (d) 3270\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znd when three letters picked without replacement from ggdzduggugznzzguzz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109477417?\nAnswer: 7, 2234233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 greater than -323\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2936 and -2937 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 9. Let w be x(9). Suppose -2*a - 442 = -2*m, -2*m + 4*a + a + 445 = w. Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7144 + -1)\/(5\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4 - 6. Find the second derivative of -2*q**3 - 2*q**3 + q + 4*q**3 - q**u wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -49, -37, -7, 47, 131, 251?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 108 = 2*l - 6*p, 249 = 5*l - 3*p. Suppose -5*j + l = -j. Calculate the remainder when 0\/(-2) + (34 - 12) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 862470 and 182?\nAnswer: 11212110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = 7 - 43 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + -2?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/8363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.5. Let p = 3 - -6. Let f = p + -9.2. Which is the third biggest value? (a) w (b) -1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 3*g - g - 3*g + 2*g + 0*g + (-6 + 3 + 2)*(-3*g - g + 6*g) + 3*g - 2*g - 3*g - 4*g - g + g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/553665 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21969493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -69, -614 in decreasing order.\nAnswer: -7, -69, -614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*x**3\/4 - 26861*x**2 + 30696*x.\nAnswer: x*(x - 15348)*(7*x - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-704)\/(-22))\/(-64))\/((20\/3)\/5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019 - 679 = 62*i - 101*i - 606 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 53*o - 26. What is w(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31589 - 19457. Let v = n - 12115.138. Let b = -16.7 + v. Round b to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 - 7*b**2 - b**2 - b + (-12 + 2 + 0)*(0*b + 0*b + 2*b**2).\nAnswer: -23*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30686 and 2278.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*x**2 + 10*x**3 - 2*x**3 - 9*x**2 + 0*x**3 - 14 - x + 290*x**4 wrt x.\nAnswer: 6960*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 10:53 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.5158 and -2306.1484.\nAnswer: -2336.6642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -5*w**3\/3 + 3*w**2 - 28752*w. Let y(k) = 2*k - 1. Suppose -5*p = 5*s - 65, 4*s + 3*p - 20 - 30 = 0. Give s*y(u) + 2*j(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1044 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26192 by 16.\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27124.688 and 84032?\nAnswer: 56907.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/30 + z**5\/30 - z**4\/4 - 2*z**3\/3 - 10441*z**2. What is i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 124675*r**2 - 498640*r - 498620.\nAnswer: -5*(r + 2)**2*(r + 24931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 332827 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 132721 = -5*b, -2*b + 3*w + 71436 = 18349. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979805586 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**4 - 19*f**3*q**3 - 7*f*q**3 - 4*f wrt f.\nAnswer: -48*f**2 - 114*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -148752*c - 5503831. What is s(-37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s - s + s + (4*s - s + 3*s)*(3 + 6 - 5).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 - 108*p**4 + 1084*p**3 - 3096*p**2 + 3382*p - 1260 = 0. What is p?\nAnswer: -63, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (49686\/49)\/78*172\/(-52)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27141552?\nAnswer: 2, 3, 188483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, 1\/2, -1003\/3, -13, 8, -0.09?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12222211201 (base 3) in base 13?\nAnswer: -41917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 3*q - 3*q. Let g(r) be the third derivative of -17*r**4\/24 + 2*r**2 + 20*r. What is g(w(v))?\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 19 - (-34 - -34)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/5 + 8\/40. Let f be (194\/50 - z)\/((-1)\/5). Which is the nearest to -0.2? (a) f (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*14\/42?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2366416 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -35. Let m = -130 + 82. Let r = v - m. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5448700 to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20533 - -20562.006. What is a rounded to one dp?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5 - 10 + 3*h**2 in the form g + i*h**2 + b*h and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 (base 8) in base 5?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(704)*-1) + (sqrt(51)\/sqrt(3) + -1 + -4)**2.\nAnswer: -81*sqrt(17)\/8 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4807 - -4809. What is the closest to 1\/3 in i, 0.4, -1\/36, -0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 + 3*a - 5. What is the units digit of o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 328324745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2. Let q(g) be the second derivative of -g**3\/6 - 99*g**2\/2 - 40*g - 3. What is q(n(c))?\nAnswer: -3*c**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8553824 is divided by 120?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a**3 - 3*a**2 - 1. Let k(z) = 14*z**2 - 10*z**2 - 5*z**2 - z**2 + z**2. What is h(n) - 3*k(n)?\nAnswer: -14*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16.7999 and -9.\nAnswer: -25.7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (2 + 2)) + (326 - 201).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/(k\/k**0))**(6\/23) assuming k is positive.\nAnswer: k**(-48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -555, -1152, -1929, -2868, -3951, -5160, -6477?\nAnswer: -7884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*q**3 + 3*q**2 - 2*q + 232?\nAnswer: 324*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/16750 and -101\/1364250.\nAnswer: 91404750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1661\/(-44) + ((-10)\/8)\/5. Let v = f + 43. Find the third derivative of h**5 + 8*h**v + 8*h**2 - h**2 + 0*h**5 wrt h.\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(r\/r**(-1\/4))*(r*r**(2\/7))**(-3))\/((r*r\/r**(-1))**(-3\/7)*(r**(2\/7))**(-34)) assuming r is positive.\nAnswer: r**(221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -5623?\nAnswer: 5622.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = m, m = u - 5*u + 28. Let q be -2*26\/m - -3. Let d = 0.399 + -0.099. Which is the nearest to q? (a) -1\/6 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825102223 to the power of 1\/3, to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 38946.3 months?\nAnswer: 32.45525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 6*w**5\/7 - 30*w**4\/7 + 6*w**3 + 6*w**2\/7 - 48*w\/7 + 24\/7 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79221 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmaaammmmmamaammm. What is prob of picking 2 a?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1\/(s*s\/(s**(-2)*s)))**23)**(-33))**(2\/9) assuming s is positive.\nAnswer: s**(1012\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - r + (1 + 4 - 3)*(0*r - 3*r + r))*((2*r**3 - r**3 - 3*r**3)*(-4 + 2 + 0) + 6*r**3 - r**3 - 3*r**3 + r**3 - 4 + 4).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65590926 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from luluuaaeuel.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3139 - 12753 = -172*w + 11109 - 771 for w.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*b + 17, -15 = 3*b + 2*f - 2. Let s be 2\/b + (-21)\/(-3). Solve -1 = -3*p + s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1196937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.8 - -39. Let m = 1 + w. Let k be (12\/(-3))\/12*-1. What is the closest to k in 2\/7, m, 3\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = y + 208 - 230, 0 = 5*y - 3*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -85 + (4 - 102) + (-2 - -1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 70. What is q(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = j. Let p = -2 - -4. What is the third derivative of b**j - b**2 + 0*b**2 + 5*b**4 - b**p wrt b?\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.68 - -2.32. Which is greater: 0.04 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**4 - j**2 - j. Let h(z) = 17*z**4 - 8*z**2 - 6*z - 3. Let u(f) = -6*d(f) + h(f). Find the third derivative of u(c) wrt c.\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + 0*d**2)*(27961*d + 27780*d + 20 - 55547*d).\nAnswer: -388*d**3 - 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-42) + -5 + 86\/(-210).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 + 32*k - 134. What are the prime factors of n(-17)?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2, -2, 0.2, 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267230502 divided by 1351.\nAnswer: 197802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-2*n + 2 - 2 + (-2 + 0 + 0)*(-n + 0*n + 3*n) + 5*n - 2*n + 0*n)*(-2*n**3 + 0*n**3 + 0*n**3).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586861359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2 + 0 + 1 + 4*l. Let s(w) = w - 1. Let n(y) = 5*y. Let v(r) = 2*n(r) + 2*s(r). Let q(t) = -11*o(t) + 4*v(t). Calculate q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16020?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73040 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 306 + 122?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5463 - -7325. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 + 3*w - 1. Let c(g) = -16*g**3 - 5*g**2 + 14*g - 3. What is -3*a(r) + c(r)?\nAnswer: -19*r**3 - 2*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.33358s in minutes?\nAnswer: 4.038893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/7 and 26378099 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 185*i + 7775. Calculate f(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 - 274*l**3 - 825*l**2 - 826*l - 551\/2.\nAnswer: (l - 551)*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5390*p**2 - 5390*p**2 + 10782*p**2 + 245 in the form t + h*p**2 + r*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.07 + -0.07. Let l = t - 1.9. Let z = -0.6 - l. Round z to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 780, 1561, 2342, 3123, 3904?\n\"Answer: 781*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4030*x. Let s(t) be the first derivative of -t**3\/3 - 6456. Determine z(s(c)).\nAnswer: -4030*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 - 48*m + 10. Suppose -269*x = o - 264*x - 42, -2*o = -2*x. Calculate k(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 8 = t. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10140 and 480?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89534697 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -13922.66.\nAnswer: -13922.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rss when three letters picked without replacement from {s: 6, w: 1, r: 8}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.64805184 rounded to 1 dp?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = 1. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*s + 3*n + 2978, 732 = -s - 3*n. Let v = s + 2959\/4. Suppose 0 = -4*b + 5*k - 42, 2*b - 16 = 3*b - 4*k. Which is smaller: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmhh. Give prob of sequence mhmh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/9 (b) -10 (c) 60 (d) -1\/6 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 466870*l + 78575.\nAnswer: 466870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 5983*z - 3050*z + z**2 - 286 - 2939*z in the form i*z**2 + t + k*z + u*z**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44837*x**3 - 22411*x**3 - 22421*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -45*j**2 + 2116*j - 217. Calculate z(47).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12240573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.17 + -0.17. Let w = p + -8.3. Let x = -19 + 20. Is x > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4))**31\/(((l**(1\/14)*l*l)\/l)\/(l**27*l)))**(-1\/11) assuming l is positive.\nAnswer: l**(-2547\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from igggig?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01201403 rounded to 5 dps?\nAnswer: 0.01201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8001386.\nAnswer: 2, 4000693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4265 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3710\/140)\/(23\/46)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 121448, 120690, 119934, 119180, 118428?\n\"Answer: o**2 - 761*o + 122208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5795, -5793, -5791, -5789, -5787, -5785?\nAnswer: -5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(180) + sqrt(180))\/(sqrt(144)*-3))\/(sqrt(4) + (sqrt(36)*-1 - sqrt(4)) - (1*sqrt(4)*-5 - sqrt(4))) + -2.\nAnswer: -2 - 7*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -34*p**2. Let f(c) = 45*c**2 + 41*c**2 - 174*c**2 + 52*c**2. Calculate q(f(d)).\nAnswer: -44064*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*o + 205 - 169 + 500 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 3410?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 3*z + 1. Let n be 4\/(-5)*1*(-30)\/12. Let d be y(n). Let q be (1\/2 - d\/4)\/1. What is the closest to -2 in -1\/2, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = -0*a. Let y = 8 - a. Suppose -25 + 1 = -y*h. Round h to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236420 + 3*t**2 - 33*t**2 - 236420 - 2*t.\nAnswer: -30*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-2)*(18 - 17)*(-48)\/408?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -585 >= -33352\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*s + 21, -4*z + 3 = -s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/9)\/n**2)\/(n*n**(-14\/11)*n*n**(-9\/5)) assuming n is positive.\nAnswer: n**(-679\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37065 (base 8) in base 11?\nAnswer: -10a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 14778074.4 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2266.017km?\nAnswer: 2266017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-5)*15\/60\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpxx. Give prob of sequence xxp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - 68 - (2 + 0)) + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 45*g**2 - 243*g + 1715. Give c(40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 139*f**2. Let r(i) = -49*i**2 + 8*i + 8. Let v(n) = 86*n**2 - 14*n - 14. Let c(z) = 7*r(z) + 4*v(z). Determine j(c(a)).\nAnswer: 139*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(127\/762)\/((-235)\/200 - 1\/5)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34364 and 1452.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 116497.415 to the nearest 100.\nAnswer: 116500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3353 - -561. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = 2*q - 21*s - 201778, -2*s = -8. Is q 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 38\/8 - (-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-48))\/(-1)*(-40)\/25.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - c + c - 3*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18524 = 2*k - 62167, -4*k - 3*d = -87295. Is 80 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1, -4, 312731?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (312\/(-72))\/((-2)\/(-6)). Let t = 0 - -1. What is the closest to t in -3\/2, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 2, d: 1}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1438 + 11503\/8. What is the closest to -0.1 in c, -2, 2\/23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8430 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 5*j - 4. Let t be (-10)\/3*18\/12. Give q(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((51\/(-405))\/(-17))\/((-2)\/(-6))*6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.08*0.063.\nAnswer: -2.27304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3600*z**2 + 590*z**3 + 3250*z**3 + 4*z**5 + 244*z**4 + 0*z**5 - 11*z + 11*z.\nAnswer: 4*z**2*(z + 1)*(z + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k + 12. Find the second derivative of 4*y + 10*y + 5*y**2 - 5*y**2 - 5*y**k wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.05 + 0.05. Let v = -29.13 - k. Which is the closest to 1? (a) 3 (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -1\/4 (b) -1\/17 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/500 and 179\/3390900.\nAnswer: 16954500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 971681.7 years?\nAnswer: 11660180.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/41, -9.7, 4\/7, -3, 0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(5096\/320))\/((-15)\/3).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, 4, -20, 6, -4 in increasing order.\nAnswer: -171, -20, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-4)\/2 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0*j - 3\/10*j**5 + 1\/105*j**7 - 32*j**2 + 0*j**3 + 0*j**4 + 0 + 0*j**6. Factor p(t).\nAnswer: 2*t**2*(t - 3)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 352 + -705\/2. Which is the third smallest value? (a) -2\/7 (b) 12 (c) 1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -38, -27, -14, -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*k*m**3*p + 1205104*k*m**2*p**2 - 785*k*m**2*p - 26*k*m*p - k*p**2 + 11*m**3*p**2 wrt p.\nAnswer: 2410208*k*m**2 - 2*k + 22*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let u(w) = 5304*w + 1. Determine r(u(s)).\nAnswer: -5304*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-374)\/110 - 4\/(-10). Put -1, 4, d, -2 in decreasing order.\nAnswer: 4, -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1348789 and 35880.\nAnswer: 161854680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z + 13. Let v be x(-9). Suppose 0 = -115*n + 121*n - 84. Let j = v - n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -127634, -255269, -382904, -510539?\n\"Answer: -127635*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694)*-5)\/(sqrt(14)\/sqrt(7)*1) + 0 + 2.\nAnswer: -55*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.6321 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + u + u - 8*u - u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8309601 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 692400*n - 422827520.\nAnswer: 5*(n - 139088)*(n + 608)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**6 + 25000*s**5 + s**2 - 19749.\nAnswer: -360*s**3 + 1500000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 963538 divided by 79\nAnswer: 963538\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113\/1032 - 2\/129. Let x = 289\/6 - 3185\/66. What is the third smallest value in -1, x, w, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 445161.06 to the nearest 100.\nAnswer: 445200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + 5 + (4 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/100 - 221\/(-10). Suppose -2*l - 5*u + 7*u + 2 = 0, 3*u - m = -2*l. What is the fourth smallest value in -1, l, 0.3, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*m = -830*m + 7582 + 7565 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/3 - 9*k**3\/2 - 20*k**2 + 9*k + 1. Let d(a) = 9*a + 26. What is 6*d(n) + 7*o(n)?\nAnswer: -2*n - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 595a23 (base 11) to base 3\nAnswer: 1210000011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 378 - -417. Let t = w + -545. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/112)\/(2\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 50*b + 2*b**2 - 15*b - 17*b - 14 - 15*b to n*b + x*b**2 + o + i*b**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*(-77)\/(((-12155)\/(-34))\/(-65))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, -4\/9, -33, 25?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 5466.\nAnswer: 27330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 448 - 81667?\nAnswer: -81218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 - 78300944*j\/7 - 766379728911392\/7.\nAnswer: -2*(j + 19575236)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/1*15\/990*-22?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (80\/6)\/5. What is the third smallest value in t, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9616 and 17429.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 127 + -50 + 1 + 6 + 77\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 11. What is the remainder when 10 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.5 * -0.093\nAnswer: 0.5115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 7*m + 11. Let d be n(6). What is the third smallest value in -1, d, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1139 and 6452971?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3686?\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160540*u**2 + 160544*u**2 - 2 + 2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*a + 3316*a**3 - 333*a + 658*a.\nAnswer: 3316*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*a*i**3 + 46*a - 61*i**2 + 2*i - 147 wrt i.\nAnswer: 114*a*i**2 - 122*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3900) - -5*1*sqrt(3900))*4)\/(sqrt(162)\/sqrt(6) + (sqrt(363)*-3 - sqrt(363)))*-4.\nAnswer: 960*sqrt(13)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (194\/58 - 3)*(-12)\/8. Let q = 1615\/319 + a. Is q != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 47. Let i be 0\/(3 + (-6 - d)). Let h = -5 - -7. Which is the closest to i? (a) 1 (b) h (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine fifths of a micrometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 3*z**2 + 3*z - 4. Let q = 27 - 26. Let u(x) = -x - 14*x**2 - q + 2 + 15*x**2. Calculate j(v) + 3*u(v).\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x. Suppose 0 = q - 42 + 42. Suppose q*v - 3*v - 9 = -4*f, -1 = -v. Put x, f, -2 in descending order.\nAnswer: f, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 143, 210, 277?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 33, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**13*j**(3\/22) assuming j is positive.\nAnswer: j**(289\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -803 + 802.5. Which is the nearest to 1\/3? (a) -1\/4 (b) k (c) -3 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.168 + -1.168001474. What is p rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.0223\nAnswer: 0.00892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1431 greater than or equal to -1425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708444063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.64*-2.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a**3 + 24*a**2 + 6*a + 19. Determine k(5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 712923299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10706.\nAnswer: 2, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**12\/s*s**(4\/5)*s assuming s is positive.\nAnswer: s**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404149033 to the power of 1\/3, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)*l\/l**(-2\/7)*(l\/l**(2\/13))\/(l**(-3\/10)*l*l) assuming l is positive.\nAnswer: l**(-6887\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - q**3 + (2*q - 2*q - q**2)*(-2*q + 9*q + q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 8:17 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 64. Let r(y) = y - 23. Let g(h) = -3*q(h) - 8*r(h). Suppose -29*o + 27*o + 26 = 0. Determine g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*o - 121*o + 152*o as z*o + k and give z.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 51 = 4*p, 2*p + 50*p = -3*m + 21*p + 67 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 9) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -20. Suppose 0 = -y - 6*c + c - 6, -12 = -2*y - 4*c. What is the remainder when y is divided by 12\/n*(-40)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1505*u**2 + 3 - 1487*u**2 - 3. Let v(n) = -2*n**2. Determine v(x(k)).\nAnswer: -648*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 967 + -950. Suppose 4*b - 12 = -u + 36, 5*u - 140 = 5*b. Calculate the remainder when u is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1886483490 from -31702.\nAnswer: -1886515192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 120211220?\nAnswer: -120211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**13))\/((o**(-9)\/o*o)\/o)*(o**(3\/4))**(13\/5) assuming o is positive.\nAnswer: o**(499\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*h**2 - 44*h**2 + 366*h**2.\nAnswer: 558*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1900\/3 in descending order.\nAnswer: 1, -3, -1900\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c. Suppose c*x + 12 = x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 49, -1\/7?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.668 + 0.69. Round a to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25 - 25 - 58*t**3 - 2*t**3 - t**3 + t**3 + (0*t - 3*t + 2*t)*(2*t**2 - t + t) + (-3*t**2 + 4*t**2 + t**2)*(5*t - 2*t - t).\nAnswer: -58*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 4*f**2 - 3*f - 4. Let j be c(5). Find the third derivative of -28*r**2 - 8*r**j + r**6 + 43*r**2 wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 - -2)*(-15)\/(-10). Is 115\/9 + (-4)\/r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 28.658909\nAnswer: 2.8658909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-471 - -417) + -57*8\/(-24).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 41*g + 8 - 12 as k + v*g and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*k, -105*k = -110*k + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -576\/11 - 38*n**3 + 2252\/11*n**2 + 192*n + 18\/11*n**4 = 0. Calculate n.\nAnswer: -1, 2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*q + y - 23, -5*q + 2*y + 21 = 0. Suppose q*u - 3*x + 0*x - 61 = 0, -x + 45 = 3*u. What is the least common multiple of u and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 12*g - 1. Let v(a) = 4*a - 30. Let f be v(-18). Let c = f + 91. What is the least common multiple of 10 and r(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/858 and -197\/1560?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*s + 281 = 0, m - 2*s = 17 - 81. Let a = 64 + m. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 9*p**2 - 37*p - 224. Calculate b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 15*q - 57. Calculate the remainder when c(15) is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54.973 - 54.7. Round y to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 7*i**2 + 6*i + 3. Let y be o(6). Suppose -y*a = a - 132. Let p = 11 + a. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:01 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -z. Let l(k) = -k**3 + 5*k**2 + 6*k - 4. Let d be l(z). Let c be (-3)\/(-3) + 21 + d. Calculate the greatest common factor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49476745 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6070001684 - -1.607. What is x rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*i - 5660, -212*i + 4508 = -208*i + s. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 49\/4*k**3 + 129*k**2 + 324 + 1\/4*k**4 + 441*k = 0. What is k?\nAnswer: -36, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327710507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*o - 4. Sort 1, 5, o.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 2*k**5 + 5*k**5 + (2*k**4 + k - k)*(-k + 4*k - 4*k) + (-2*k**3 - 3*k**3 + 4*k**3)*(-2*k**2 - k**2 + k**2).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 286 = 2*p, 5*p = -20. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-6 + (-232)\/(-32)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + h - 128 = -37*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 323 (b) -4.14 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-230)\/(-40) - 6)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.3616 and 9413.\nAnswer: 9398.6384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(32) + sqrt(32) + (4 + 1 + sqrt(2) - sqrt(2))))**2.\nAnswer: -640*sqrt(2) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -393d0 (base 15) to base 14\nAnswer: -4aa40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138290 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47853482.\nAnswer: 2, 1489, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35460 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -103*k**2 - 24*k + 18. Let j(q) = -52*q**2 - 11*q + 8. Let g(b) = 4*d(b) - 9*j(b). Let r(n) = n**2. Give r(g(t)).\nAnswer: 3136*t**4 + 336*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n - 6. Let j be a(1). What is the derivative of -j*b - 2 + 28 + 21 - 53*b wrt b?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/(5\/(-200)). Solve -a = b + 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -741 (c) 2 (d) -2\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1) + (-5 - -3). Let c = l + 5. Let m be (4\/(-7))\/(8\/(-28)). Sort c, m, 3 in decreasing order.\nAnswer: c, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -159, -0.4, 3\/8, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awalwfq. Give prob of picking 1 w and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13056.67 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 + 7*h**2 - 5*h - 6. Let p(c) = -3*c**3 - 6*c**2 + 4*c + 6. Determine 3*p(k) + 2*u(k).\nAnswer: -k**3 - 4*k**2 + 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3\/1)*(-24)\/6. Suppose 0 = -5*g + 3*k + 1136, k - 17 = -y*g + 885. What are the prime factors of g?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 14*w - 1561 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187812 and 1812038?\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76, 31, -16, -65?\n\"Answer: -w**2 - 42*w + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100010011011111000 + -11?\nAnswer: 10100100010011011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*d**2 - 163*d**2 + 682*d**2.\nAnswer: 645*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 5, 4, -100 in decreasing order.\nAnswer: 5, 4, -60, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 5*o = -3*j + 14, -3*o - 10 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j = -1708. Let w be (-14571)\/(-19) + ((-18)\/171)\/(-1). Let a = w + j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 9, -4*f + 4*t + 78 - 82 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*k = 48, 0 = -4*o - 5*k + 12 + 55. Let x(v) = -48*v + 20*v + 2 + o*v. Let g be (-4)\/(-6) - 16\/6. What is x(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2267015 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oegffevo. Give prob of sequence eg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 5. Let m(q) = 20*q - 21. Let p = 24 - 33. Let k(c) = p*j(c) - 2*m(c). Let v be k(4). Is v bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363632, -1454656, -3273028, -5818748, -9091816, -13092232, -17819996?\nAnswer: -23275108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 13653307?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -1\/3*k**3 + 2 + 0*k**2 + 84*k. Is 28 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from pphhyupuhu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {f: 3, t: 1, b: 5, h: 6, d: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x = -38*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.03 * -80.28.\nAnswer: -162.9684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(539) - (sqrt(22) - 2*sqrt(22))\/sqrt(2).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456269 to the power of 1\/2, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(80) + 0 + sqrt(80))*4*-6 + 3 + -4*sqrt(80)*2)**2.\nAnswer: -6720*sqrt(5) + 1254445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4291 + -4156. Solve -w*a + 155*a - 100 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001112111 - 11?\nAnswer: -102001112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 - (-7 - (-6 + -6) - 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c**2 - 2*c. Let l be p(2). Let j(w) = w**2 - 25*w - 51. Let a be j(22). Let m = -583\/5 - a. Are m and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 40*w - 24. What is the remainder when c(21) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ororo. Give prob of sequence ooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89176, -178419, -267726, -357097?\nAnswer: -446532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 - 4*o**2 + 4*o - 39. Let a(t) = t**3 - t**2 + t + 1. Let y(r) = 3*a(r) - i(r). What is the units digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 - 21*i - 45. Calculate r(-6).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12123 - 12123 + 3*p**2. Let k(x) = -120*x**2 - 30. Let a(j) = -17*j**2 - 4. Let m(s) = -30*a(s) + 4*k(s). Calculate m(t(b)).\nAnswer: 270*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**5\/60 - l**4\/12 + l**3\/6 - l**2 - 41*l. Calculate f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.36 + 1.8. Let q = w + -0.04. Let l be ((-104)\/(-12) + -9)*4\/6. Which is the second smallest value? (a) l (b) q (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.6, -0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10 + 2)*(-3*m + 2*m + 5*m)*(34*m + 466*m**4 - 4 - 929*m**4 + 465*m**4).\nAnswer: 128*m**5 + 2176*m**2 - 256*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/9 - 1\/3. Let g = -79218 + 79221. Put 1\/11, m, g in increasing order.\nAnswer: 1\/11, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) + sqrt(68) + -4 + sqrt(17) - sqrt(17)) - (sqrt(17) - (-3*sqrt(17) + -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 20*x**2 - 4610*x + 2448. What is l(230)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -45?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + (18 - 9 - -6) + -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 65 = 20*j. What is the greatest common factor of j and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 2*o**2 - 1. Let y be m(2). Let z = -16.8 + 2.8. Let x be (-1 - 8\/(-5)) + 1\/(-5). Which is the second biggest value? (a) z (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/233, 2, -2, 2\/5.\nAnswer: -2, 18\/233, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y - 1. Let h be s(1). Let i = 8716 + -8715.9. Which is the third smallest value? (a) 2\/9 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, g: 6}. Give prob of picking 3 g.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 3*f + 1. Calculate u(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 1)*(-14)\/4. Suppose 8 = c*m - 3*m. Solve -3 = -2*o + 7, -m*b - 5*o + 17 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m - 3*m**3 - 3*m**3 - 11*m + 5*m**3 in the form s*m**2 + q + u*m + h*m**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 363*w**2 + 4789*w + 1738412. Calculate x(-363).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -54. Let d = s - 15\/4. Which is the closest to 5\/2? (a) d (b) -2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71356, -142784, -214224, -285676, -357140, -428616?\n\"Answer: -6*g**2 - 71410*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(17))**2 - sqrt(51)\/sqrt(3)*-5 - (5 + 3 + sqrt(17) + -3 + sqrt(17))**2.\nAnswer: -51 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3655602, -3655600, -3655598, -3655596?\nAnswer: -3655594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 3, 2717 in ascending order.\nAnswer: -5, 0.4, 3, 2717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495.76 times -0.18?\nAnswer: 449.2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616354371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 28. Let k be p(4). Suppose 6*u - k = 2*u. Solve 4*y = 5*h + 2*y - 4, 0 = -2*h + 3*y + u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 = -4*x, -6*o + 2*o + 3*x = -3. Solve -3\/4*r**o + r**2 + 1\/4*r - 1\/2 = 0 for r.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 111, 238, 405, 606?\n\"Answer: -b**3 + 29*b**2 + b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 2371*j - 11828. Let m be o(5). Sort 19, m, -14 in descending order.\nAnswer: 19, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 2, -0.2, 2\/3, -55699 in increasing order.\nAnswer: -55699, -96, -0.2, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y)\/((y**4\/y)\/y)*y\/y**(-2\/17)*y**(-1\/8))\/((((y\/(y*y**5*y))\/y*y)\/(y\/(y\/y**(3\/2))))\/(y**1)**(-18)) assuming y is positive.\nAnswer: y**(-1701\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42189 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 8*g - 1. What is the lowest common multiple of 7 and b(-6)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - u + 1. Let d be (12\/14)\/(9\/63). Let j(q) = -5*q**2 - 8*q + 6. Suppose 0 = v + 2*v + 3. Give d*b(h) + v*j(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(700))*-4 + 3 + sqrt(700)*-1 + sqrt(700) + -3)**2*-2.\nAnswer: -22528 + 1280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2\/7 - 54648*o\/7 + 186650244\/7 = 0 for o.\nAnswer: 6831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2605 is divided by 428?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 800 and 30.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392496?\nAnswer: 2, 7, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*a**3 + 3 + 1\/4*a - 3*a**2.\nAnswer: -(a - 1)*(a + 1)*(a + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2427*s**2*x**5 - 2*s**2*x**2 - 5*x**6 - 363*x**2 wrt x.\nAnswer: -145620*s**2*x**2 - 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcfhhcdcoffdcccgodo. What is prob of picking 1 h and 2 c?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 24. Solve 0 = 5*w - g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/147, -1, -4, 3, 5\/2?\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6122747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -i - 458 - 954, -20 = 5*i. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + (4 - -1) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - s - 1. Let v be 10\/(-2) + -1 + 0\/21. Let t be (-3)\/(v\/4) - (22 + -19). Let z(x) = -x - x + x - 1. What is t*p(c) + z(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5*z - 21, -5*z = 4*v + 2 - 49. Let u = -9 + v. Suppose -k = -2*n + k - u, 3*k = 2*n + 5. Is -3\/7 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*x + 42 = 0, 2*v - 5*v + 3*x = -48. Let z = -504 - -556. Calculate the remainder when z is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1127015445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92986, -93071, -93324, -93829, -94670, -95931?\n\"Answer: -14*x**3 + 13*x - 92985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 909.3558mm in kilometers?\nAnswer: 0.0009093558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63539911355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-6)\/(-4) - -8. Suppose 4*u - r*u = -3*t + 9, -21 = -u - 3*t. Suppose -9*c = -u*c - 159. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16918, 33851, 50804, 67777?\nAnswer: 84770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -34*v**2 + 3 + 35*v**2 - 2. Let z(m) = -m**2 + 4*m + 2. Let d be z(5). Determine g(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*4*-4)\/(2*sqrt(384)) + 5.\nAnswer: -sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 + 160. What is the smallest value in t, -0.2, 2\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (148\/(-28)*50 + -4)*-7 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 + 91*i - 4. Let u(g) = g**3 - 52*g**2 + 2*g - 91. Let q be u(52). Determine b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241.63 + -242. Let d = m + 0.370001622. What is d rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3\/15 - 4622*w**2\/5 + 10681442*w\/5 - 24684812462\/15 = 0.\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 29*q = 126, 371091*b - 30 = 371089*b + 5*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*t + o - 26, 0 = -3*t - o + 20. Let h = -10 + 6. Let x = h + t. Which is the closest to x? (a) 0.5 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 338.1814324 to 2 dps.\nAnswer: 338.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54.7 + 54.7. Let y = -0.09 + 0.29. Let n = 0.9 - 0.6. Put n, y, a in ascending order.\nAnswer: a, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 h when three letters picked without replacement from {q: 1, e: 1, i: 5, h: 3, u: 2}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 5239?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75915835*s**3 + 106119995*s.\nAnswer: -455495010*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - z**2 - 2*z**2 + (-86*z + 0*z - 2 + 8*z)*(2*z - 3 + 3 + (-3*z - z + 6*z)*(-3 - 4 + 4)).\nAnswer: 308*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8904*m. Let p(w) = 8*w**2. Give n(p(b)).\nAnswer: 71232*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.6 - -169.4. Is 1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 - 28 + 28)*(-g + g - g) + 14*g**3 - g**3 + 2*g**3 - 4*g**3 + g**3 + g**3 as k*g**3 + i*g**2 + v + y*g and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7807.\nAnswer: 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-6)\/(-18) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + x. Let h(j) = 5 + 16*j**3 - 17*j**3 - 2*j**2 - 3*j - 22. Let b be h(-3). Let a(p) = 9*p**3 - 5*p. What is b*a(w) + 6*d(w)?\nAnswer: 3*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.0083 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*r, -4*r = -5 + 25. Let z = -3.4 + 3.4. Let d = -1.7 - 0.3. What is the closest to z in d, -4\/3, s?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 931463 = 35*m - 287727. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 76. Let s be (((-21)\/(-6) + -4)*4)\/q. Suppose 109 = a + o, a + a = s*o + 234. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n - 153. Let b be s(8). Let m(x) = x**3 + 9*x**2 + x + 19. What is m(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15663*l + 450 = 15688*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b - 88. Let j be c(-10). Solve j*s + s = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 42964.\nAnswer: 47\/42964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91.53229 and 6?\nAnswer: 549.19374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04428311 minus -0.0292?\nAnswer: -0.01508311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -12*t + 9*t + 24, 6 = -c + 3*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**2 + 1 + 9*y**2 - 1. Let q(l) = l. Determine q(m(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648055737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(42\/(-7))\/30.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l + 52. Let w be y(-5). Let s = -694.1 - -743. Let n = s + -47. Do w and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3865 * -0.1\nAnswer: -386.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r\/(r**(4\/7)\/r*r)))\/(r*r**(-6)))\/(r\/r**(-2))**12)**(2\/75) assuming r is positive.\nAnswer: r**(-412\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - c = 10, 4*t - 28 = 5*c - 2. Suppose -t*o = -3*o - i, 4*o = -i + 5. Let w be ((-5)\/(-3))\/((-1)\/(-3)). Solve o = l + w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x - 10*x**2 - 1\/2*x**3 - 1\/24*x**4 + 0 + 2\/5*x**5. What are the prime factors of p(2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 35*t**2 - 501*t - 5. Calculate s(-11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40517704 to the power of 1\/2, to the nearest integer?\nAnswer: 6365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/135 (b) 0 (c) -0.3 (d) 190.2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295 + -90. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1324.72370809 - 1496.7237151. Let r = -172 - j. What is r rounded to seven decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.98 + -23446594902.\nAnswer: -23446594900.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**2 - 71*r - 36. Give x(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 45*f**3 + 6*f**2 + 4. Let q be u(-2). Put 0, q, 2 in descending order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47488 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3906 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3024 + 1?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122 and 8.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -263*f*n**2*r + f*r - 152*f + n**2*r - 5*n**2 + r wrt n?\nAnswer: -526*f*n*r + 2*n*r - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18588088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 6*s + 8. Let x be i(7). Let y = x - -14. Suppose y = q + 6. Calculate the least common multiple of 11 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by -3?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(-3*(-8)\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-69)\/(-21) - (-4)\/(-14). Let i = k - 11. Suppose -9*v + 3*v = 2*v + 96. Is i equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 3, i: 10, r: 3}. Give prob of sequence ngg.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8510737 is divided by 3190?\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074308 is divided by 1074072?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 1 (c) -0.4 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48d2 (base 15) in base 13?\nAnswer: -7091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -14. Suppose h*o - 4*p = p - 10, 0 = 5*p - 5. Does 5 divide o - -14 - 1 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 - 261. Let m = 72 + x. Which is the second smallest value? (a) -11 (b) 0 (c) -5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 2\/6*-6. Let p(w) = -5*w**2 - 61*w - 3. Let u(c) = -5*c**2 - 64*c - 2. Let m(v) = b*p(v) + 3*u(v). Suppose m(q) = 0. Calculate q.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (-2*sqrt(66)\/sqrt(2))\/sqrt(11) - 2*((-2*sqrt(6))\/sqrt(2) + 1 + sqrt(48)))**2.\nAnswer: -744 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x - 3*y - 2, 1 = 3*x + y. What is the third derivative of h**2 + x*h**2 - 5*h**2 + 2*h**4 + 3*h**2 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375791 and 1688.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77485256*n**3 + 14843130*n?\nAnswer: -464911536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 7263045.\nAnswer: 50841315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.17707281.\nAnswer: -0.88536405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 1\/21*n**7 + 0*n**2 + 36*n - 3\/10*n**5 - 2\/3*n**4 + 1 + 2\/15*n**6 + 4\/3*n**3. Factor k(g).\nAnswer: 2*g*(g - 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 + 5*m**2 - 3*m - 1. Let a(h) = -18*h**3 - 24*h**2 + 16*h + 5. Calculate -2*a(y) - 11*l(y).\nAnswer: 3*y**3 - 7*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, d: 1, t: 6}. What is prob of picking 1 n and 2 t?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**2\/2 - 116. Let q(b) = -b + 1. Determine q(x) - 4*v(x).\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -43*z**3 - 3*z**2 - 8*z + 10. What is t(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h = -37*h - 6*p + 23, -17*h - 3*p = 15*h - 239 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + 38 + -96 - 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 2, v: 3, u: 2, n: 9, k: 1}. What is prob of sequence nu?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.1 times -3.7?\nAnswer: 41.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 229160.1864 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52313, 52457, 52635, 52865, 53165?\nAnswer: 53553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*v**4 + 10*g*v**3 - g*v**2 - 910*v**4 + 1119*v**2 wrt v.\nAnswer: 48*g*v + 60*g - 21840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**5\/60 + 19*v**4\/8 + 301*v**2. Factor n(b).\nAnswer: -b*(b - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-3) - 2\/(-6). Let k(y) = y + 5. Let u be k(-5). Suppose x*t - 128 + 8 = u. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 7) to base 15\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(2*sqrt(4)*-3) + -1*(sqrt(832) + 1)**2.\nAnswer: -833 - 97*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.1 - -5. What is the nearest to -0.3 in -2\/13, a, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 20*u - 98. Let z be s(-8). Put 4, z, -5 in ascending order.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-10))\/((31696\/1120)\/(-283))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 12*j = 0, a - 4*j - 211 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -8\/63*n**7 - 1\/6*n**2 + 5\/36*n**4 - 2*n + 0 - 5\/12*n**5 - 4\/9*n**6 + 5\/18*n**3. Factor f(y).\nAnswer: -(y + 1)**3*(4*y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 10:15 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0 - 14*i + 0*i**3 + 2*i**2 - 3\/4*i**5 + 0*i**4. What is the derivative of p(w) wrt w?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 616164.813 - 615890. Let k = i - -0.187. Let c = k - 275.0111. Round c to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -217 + 216 + (3\/(-114))\/((-1)\/34).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18785 is divided by 3046?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + y + 7, -s + 15 = 4*y - 3*y. Suppose s - 2 = w. What is the units digit of 30\/135 + 61\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1. Let n be ((-456)\/(-15))\/(-8) + (0 - -4). What is the third biggest value in n, -1\/4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/128*7840\/1400.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52661 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -24) + (-19 - -42) + -8\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.9 - -69.9. Let c = -63\/4 - -16. What is the nearest to c in -4\/7, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114 and 165.1.\nAnswer: -18821.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(2\/7)\/n*n)*n**(-16))\/(n**(2\/11)*n)**(-3\/5))**(-1\/53) assuming n is positive.\nAnswer: n**(5612\/20405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 938189*p + 0 - 940418*p.\nAnswer: -2229*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*-2*sqrt(98) - (-3 + sqrt(162))).\nAnswer: -1 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a**2 + 502*a + 23. What is the thousands digit of d(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*z + 5*m = -295*z - 21, -6 = -4*z - m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 10840*g + 636000.\nAnswer: 4*(g + 60)*(g + 2650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84129139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + (0 - -1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 962 - 1041 = 83*r + 502 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 116*g + 692. Give h(37).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-60 - 3)) + 0 + -25 + -40 + 55\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 not equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24147643 divided by 50203?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11586 * 0.143\nAnswer: -1656.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/1252, -3\/8, 8, 4\/5, -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.3077 - 25.21. What is f rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 1, x: 1, j: 1, z: 1}. Give prob of picking 1 x, 1 l, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, -5, 1, 14\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2514? (a) 0 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 + 1385*y**2 - 1748000*y - 3501500 = 0. What is y?\nAnswer: -745, -2, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 16*w**2 + 22*w - 2. Let i be x(-2). Let s be (-2)\/8 + (-218)\/(-8). Let d(v) = -i - 28*v + s*v + 2 - 4. What is d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 27304.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllbblllblllbblll. Give prob of picking 1 b and 3 l.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 25*u\/4 + 6.\nAnswer: (u - 24)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9690283*l**2 - 2*l. Let d(y) = 7*y**2. Determine w(d(r)).\nAnswer: 474823867*r**4 - 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {b: 1, z: 1, u: 1, c: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/439, 115.5, 4?\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = 44 - 100 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -38413 to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 4 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*s + 14 = 0, 0 = -42*k + 39*k + s - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 8 - (3 + 1)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0271172l to millilitres.\nAnswer: 27.1172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4127101.5 to the nearest one thousand.\nAnswer: -4127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 2. Let v be i(-2). Let g be -4 - (1 + 0 - v). Put -4, -8, g in decreasing order.\nAnswer: -4, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -2*n**3\/3 + 11*n**2\/2 + 244*n. Let a(j) = -2*j + 5. What is -9*a(o) + 4*i(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 2651837531?\nAnswer: 2651837531.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2298363, 4596704, 6895045, 9193386?\n\"Answer: 2298341*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/2)\/((-36)\/(-135)*-5). Sort b, 8\/13, -1\/5 in descending order.\nAnswer: b, 8\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212294520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 1, k: 7, e: 1, h: 3, c: 3}. What is prob of picking 1 k and 3 h?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 236.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - 18290?\nAnswer: -18326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 4*g + 8, -8357*p + 2*g - 2 = -8358*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37796 + 37789.0906. Let x = 6.9 + z. Round x to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 11*b**7\/2520 - b**6\/144 + 19*b**5\/120 - 3*b**4\/8 + 10*b**2. Let y(h) be the second derivative of c(h). Is y(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 2229*y**5\/5 + y**4\/4 - 3621*y - 3890. Find the first derivative of x(d) wrt d.\nAnswer: 8916*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 45171 = 45276 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 4*v + 2. Let p(w) = -3*w**3 - w**2. Let q be p(-1). Let d = 2 + q. Determine y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 895, 829, 727, 595, 439, 265, 79, -113?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7. Does 18 divide ((3 - 6) + p + 6)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -43.\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3230434 (base 6) to base 13.\nAnswer: -5782c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3710118 and 37\/5565177.\nAnswer: 11130354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 4*x + 12, 4*j - 165 + 155 = -x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 149528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + 921. Let x = 2403 - s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -407*b*g + 140*b + 4*g + 61 wrt g.\nAnswer: -407*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:17 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8463100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 11*a + 14. Let x be z(-10). Let k(t) = 2*t**2 - 1 - 4 - t**2 + 7*t - x*t. What is k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 12. Let m be (-3)\/(-1) + 6 + -4. Suppose -m*p - 2*w + 266 = 0, -3*w + 50 = p - w. Calculate the remainder when p is divided by s(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -184 + 1658\/9. Let y = -0.6 + 0.5. Let s = 0.6 + y. Which is the closest to i? (a) 4 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:22 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1989*u + 1980*u + 5*j + 278 = 0, 5*u - u + 4*j - 136 = 0 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 < 0.01205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1353092 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106619288 divided by -706088.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31133 + -3?\nAnswer: -31202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 989 and 129329?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 21*l = -24*l + 4, 5*l - 6 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + 38*v**2 - 38*v**2 + (0*v**4 + v**4 - 2*v**4)*(2*v + 3*v - 2*v).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (5 - 1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.22 and -0.00002632.\nAnswer: 0.21997368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/16 and 101\/510.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 47 = -7. What is the tens digit of 42*(-4 - (-68)\/t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3359 times 148\nAnswer: -497132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -81) + 0 + 22.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 5*w**8\/21 - w**5\/30 + 119*w**4\/24 - 27*w**2 - 3*w. What is the third derivative of p(c) wrt c?\nAnswer: 4800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5 = r, r + 6*b - 7578 = -7567 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor 114*p**2\/17 + 6382*p\/17 - 112\/17.\nAnswer: 2*(p + 56)*(57*p - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/60 + o**4\/8 - 9*o**3 - 2*o**2 + 35. Let s be c(8). What is the greatest common factor of s and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 12022220011122?\nAnswer: -12022220011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.109 - 2.891. Which is the second smallest value? (a) 1\/2 (b) 1\/7 (c) v (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 1390?\nAnswer: 54210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18508049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.26 (b) -2 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/8 - -31\/24. Suppose -3*v + 0*v = 15. Which is the biggest value? (a) v (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.3 - 7.3. Which is the nearest to -2\/7? (a) -1\/3 (b) 4\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -36*m. Suppose -2*k = 2*k - 24. Let q = 2 - k. Let p be b(q). What is the highest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -911 + 1096. Calculate the remainder when a is divided by 61.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y + y - 5946*y**3 + 2973*y**3 + 2972*y**3 + 76*y.\nAnswer: -y**3 + 58*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 5*v - 12. Let f be w(7). Let r = 116 - f. Let c = 108 - r. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52833 (base 12) to base 6.\nAnswer: 2153303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 2. Let a(o) = -44*o - 2. What is a(u(l))?\nAnswer: 220*l + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 328, 487, 650?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -47*w**3 - 10*w**2 + 3*w + 6. Let u(d) = -95*d**3 - 21*d**2 + 7*d + 14. Let a(g) = -7*n(g) + 3*u(g). What is the third derivative of a(z) wrt z?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = -0*r + 285. Suppose -4*h = 11*h + r. Is 6 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = -11. Let z(v) = -v**3 + 3*v**2 - 7*v - 12. List the prime factors of z(p).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-4 + 0 + 3)*(-5894*x + 3714*x + 3229*x).\nAnswer: 3147*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80155005 divided by -5?\nAnswer: -16031001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 110\/4*1\/(15\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 14*l\/5 - 51\/5.\nAnswer: (l - 17)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -3*q + 348, 29*z - 31*z - 33 = 4*q + 35 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -5.49 (c) 0.8 (d) -2\/15 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52014168.\nAnswer: 2, 3, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.04, 16, 55, -2\/7, 0.6 in descending order.\nAnswer: 55, 16, 0.6, 0.04, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 10, 116156, -1?\nAnswer: 116156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 6\/(-3) + -2. Let o be (2 + -1)\/(2*1\/(-8)). What is the smallest value in g, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -342?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 1224 = 11*v. Let a = v + -361. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 39. Let y be o(17). Let z = y + 9. Solve p - z = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.165 or 569055?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 739227607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353335 is divided by 15782?\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -483*f**3*g**2*k + 29512*f**3 + 65*f*g**3 - 17311*g**3*k wrt k.\nAnswer: -483*f**3*g**2 - 17311*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l + 12. Let g = 27 - 27. What is h(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 12:13 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {v: 1, j: 5, d: 14}?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34c69 (base 13) to base 7\nAnswer: 551410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364)\/(sqrt(28)\/sqrt(4)))**2 + sqrt(52) + sqrt(52) + sqrt(52) - 5*sqrt(1300))*-2.\nAnswer: -104 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*2\/(-3 - 25). Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616\/39 bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763668?\nAnswer: 2, 271, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1740809*w + 10755000.\nAnswer: -1740809","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 1.4.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(2\/(-4)). Let z = 0 + 0.4. Let s = 0.3 - z. Which is the nearest to s? (a) -1\/5 (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, -5, -35, -1, 3.\nAnswer: -239, -35, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 438\/107, 14.6, -1?\nAnswer: 438\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 3*c**2 + 8*c + 7. Suppose -3*l + 5 = -3*b + 8, -3*b + l = -9. What is the hundreds digit of s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-231)\/(-28))\/(3\/8). Suppose -3*s + 2*s + 3*b = 10, 0 = -3*s - 4*b + k. Find m such that 6\/7*m**4 - 4\/7*m**s + 0*m + 0 - 2\/7*m**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 3*12\/(-18). Let f(w) = -w**2 - w + 1. Give f(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558773701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 2, i: 4, o: 2, g: 6, t: 1}. What is prob of sequence cooc?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101111001 (base 2) to base 4\nAnswer: 11321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111530967 rounded to 7 dps?\nAnswer: 0.0001115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w. Solve 0 = -w*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -36 (b) 49 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276036 by -11.\nAnswer: 276036\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*b + 63, -4*u + 5*b = 3*b - 94. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0 - 6. Let o(u) = 2*u - 2. Let f(j) = -4*j + 1. Let g(t) = -11 - 9 + 22 - 7*t. Let q(k) = -10*f(k) + 6*g(k). Give s*o(m) + 3*q(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (19 + -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1398)\/22 - ((-144)\/(-99) + 84\/7 + -14).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k - 105. Let m(d) = 11*d**2. Calculate m(p(y)).\nAnswer: 1100*y**2 + 23100*y + 121275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 837\/36)\/1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211551971.\nAnswer: 211551971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a milligram in micrograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324723*o**3 - 324405*o**3 + 649127*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**3 - 5*n**2 + 14*n + 33. Let w(k) = 14*k**3 + 15*k**2 - 43*k - 98. Let v(h) = -11*a(h) - 4*w(h). List the prime factors of v(-8).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -3\/2 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, x: 4}. What is prob of sequence xlll?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 f when four letters picked without replacement from aalaaafallfalwzla?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -15*p**2. Let s(k) be the third derivative of k**5\/60 - 3*k**3\/2 - k**2. Let y(h) be the first derivative of s(h). Give y(t(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let t(c) = -5*c**2 + 5. Let m(r) = -2*r**2 + 3. Let y(x) = 5*m(x) - 3*t(x). Determine q(y(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6))**(-49)\/((o*o*o**(-14)*o)\/(o*o\/(o\/(o\/o**12))*o)) assuming o is positive.\nAnswer: o**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 + 2*m - 4. Give d(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (445\/(-356))\/(((-160)\/12)\/8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 4413 = -10*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 287 + -290.68. Let d = -2.665 - b. What is d rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418413 is divided by 67996?\nAnswer: 10437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 16. Let b = -10 - -17. Let z be m(b). Solve s + 0*s - z*g = 3, -2*g = 5*s + 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12*k)**24 assuming k is positive.\nAnswer: k**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 take away -9426440825?\nAnswer: 9426440825.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451990621?\nAnswer: 113, 3999917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -466 + 850. Suppose 4*n + 3*q = t, 4*n - 209 = -5*q + 175. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 16429*q - 262597. Give j(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*k**2*x**3 - 2*k**2*x + k*x**3 + 157*x**3 wrt k?\nAnswer: 36*k*x**3 - 4*k*x + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 + 484*a**2 + 1424*a + 944 = 0.\nAnswer: -118, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Let w(h) = h**2 - 4*h - 4. Let z be w(c). Suppose 4*k - 2*l = 16, -3*l + 3 = -k + 12. Put z, k, -2 in decreasing order.\nAnswer: k, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + 24. Let b be w - -1 - (10 + -6). Calculate the highest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + h - 2*h)*(4 - 601*h + 1811*h - 715*h + 10 - 655*h) to the form s*h**2 + z*h + c and give s.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -683*t**4 + 2*t**2 - 3*t + 27627 wrt t?\nAnswer: -2732*t**3 + 4*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/24 + 9\/4. Suppose -2*u = -5*h + 21, -s*u - h + 4*h - 9 = 0. Let y(o) = 3*o. Let n(a) = -6*a. Let m(x) = -2*n(x) - 5*y(x). Calculate m(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0 - 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -330431 - 83345 + 116426. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.925445 and -0.4.\nAnswer: 3.570178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -864 - -1363. Is l less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 3:54 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/24*((-4104)\/(-9))\/38*6*-3?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b0a + -2df?\nAnswer: 282b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/16*(1 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*u + 316 = 0, 2*u + 138 = 2*h - 3*u. Suppose x = -3*x + h. Calculate the remainder when 30 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**2 + 1. Let d = 4 + -1. Let t(o) = -d*o + 0*o + 6*o. Calculate i(t(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37956, 75910, 113854, 151782, 189688, 227566, 265410, 303214?\n\"Answer: -y**3 + y**2 + 37958*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) 0.021 (c) 68 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020031202 (base 5) in base 10?\nAnswer: -4064552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507, -1951, -4353, -7707, -12007, -17247?\nAnswer: -23421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 520\/48 - 2\/(-12). What is the first derivative of k*p**3 - 2 - 19*p**3 + 0 - 2 wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 21*u - 39. Give m(12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.957 + -0.043. Let v = -19 - m. Let x = 82\/3 + -27. Which is the biggest value? (a) x (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38232 and 267624.\nAnswer: 267624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*v**2)*(22537 + 53877 - 54263) to l*v + s + r*v**2 and give r.\nAnswer: -44302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 2*s - 1. Let x(p) = -38*p - 1. Calculate -2*w(c) + x(c).\nAnswer: -8*c**2 - 34*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -3, -109021, 5 in ascending order.\nAnswer: -109021, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79340 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -22*s - 106. Let b be l(-32). Suppose 0 = -0*x + 2*x - 4. Factor -b + 592 - u**x - u**2 + 8*u.\nAnswer: -2*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (2 + 0)\/1. Let n = 119 - 63. Let g = -55.8 + n. What is the nearest to 2\/3 in -2\/19, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 7, f: 2, t: 3}. Give prob of picking 2 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 785 by 157.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**11*v**(-36)*(v*v*v**(-8\/5))\/v*v\/(v**(-13)*v)*v assuming v is positive.\nAnswer: v**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -332 (b) 14 (c) -2\/5 (d) -1251\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 0.1, 0.01, -62 in increasing order.\nAnswer: -62, 0.01, 0.1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17\/9 + -5\/3. Which is the third biggest value? (a) -2\/15 (b) v (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.7. Let f = t + -5.3. Which is the third biggest value? (a) 5 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 61288*r**2 - 230477680*r + 32983600800.\nAnswer: -4*(r - 138)*(r + 7730)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 6336 = 19*t. Let m = 929 + t. What are the prime factors of m?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 21 = v, 4*w = 2*v - 13 - 19. What is the least common multiple of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + u)*(6 - 4 + 0) + 390 - 390 - 36*u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (31 - 25) + 0 + -2. Sort -5, r, 16 in ascending order.\nAnswer: -5, r, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let p(m) = -2*m - 1. Let x(i) = -2*k(i) - 2*p(i). Calculate x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxohrvx. What is prob of sequence vh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2299 and 0.5.\nAnswer: 0.61495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -0.34.\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i - 293. Let k be m(38). What is the third derivative of -k + z**2 - 40*z**3 - 1 - 8 - 54*z**3 + 15 wrt z?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78238.01 seconds in microseconds?\nAnswer: 78238010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142 - -166. Suppose 5*m - 14 = -y, m = 2*y - 4 + 9. Let s = f + y. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 25. Let b = -405 - -416. Let s be r(b). Sort s, -11, -2 in decreasing order.\nAnswer: -2, s, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254248\/113 + -2250. Let u(x) = -5*x**2 + 12*x - 7. Let d(j) = -2*j**2 + 6*j - 3. Let c(l) = 7*d(l) - 3*u(l). Let i be c(-6). Which is bigger: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 360, 837, 1520, 2415?\nAnswer: 3528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 + 37 = -5*q, 2*h - 5*q = 69. Let g = h - 13. Is 270\/g + 2\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188 and 31105446?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 466 + -461. Suppose -4*p + 7*p - s + 112 = 0, 3*s = -3*p - 108. Let l = p + 40. Solve l*h + 2 = r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -8. Let u = 262 - 215. What is the remainder when u is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 minus 0.63?\nAnswer: 83.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 20*j - 25. Let p be u(21). Let s be p\/18 + (-8)\/(-36) + 4. Suppose -6*b = -s*b - 24. What is the remainder when 21 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/3)\/m)\/(m\/(m**(2\/5)\/m)))**(4\/35) assuming m is positive.\nAnswer: m**(-76\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from ninvnccanaiaan.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*n**2 - 1)*(1 + 2 - 2) + 63*n**2 + 4398 - 4398 in the form z*n + g + m*n**2 and give m.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7762 - 7760. Let p(n) be the first derivative of 24\/5*n**5 + 22 + 11*n + 0*n**r + 0*n**4 + 0*n**3. Differentiate p(g) with respect to g.\nAnswer: 96*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*18\/(-1080) - (-4)\/(400\/(-355)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1842 + 1443?\nAnswer: -3ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -31. Suppose -f*l - 3 = -23. Suppose -3*z - b + 3*b + 205 = 0, z - 57 = -l*b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38487, -35279, -32059, -28821, -25559, -22267, -18939, -15569?\nAnswer: -12151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1*(-108)\/(-5022))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*o + 269*o = 6486544 + 5887862. What are the prime factors of o?\nAnswer: 62497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 = 3*a + 15, -4*a = 5*t + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in -5, 22, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04507 and 0.4.\nAnswer: -0.018028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*f**2 - 364*f - 199*f + 104*f.\nAnswer: 374*f**2 - 459*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154941*u**2 - 310056*u**2 + 155083*u**2.\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/14 (b) -1\/10 (c) 10 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 805316949*b**4 + 6*b - 1199338 wrt b.\nAnswer: 9663803388*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - -81?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32566950 divided by -234?\nAnswer: 139175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 102 + 24. Let w = q + -38. Suppose 2*m = w*h - 12, 3*h - 2*m - 4 = h. Sort -1, h, 1 in ascending order.\nAnswer: -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/24 (b) 3 (c) 4 (d) 0 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7759102 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-3) + (-2)\/3. Suppose 5*t + 2*j - 55 - 19 = 0, 66 = 4*t + 5*j. Suppose 2 = -4*s - t, z*s + 268 = 3*u. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 176\/5*r - 28\/5*r**3 - 48\/5 = 0. Calculate r.\nAnswer: -3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-63 + 9)\/((-5)\/((-5100)\/(-8)))?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-7)*q**(-2\/17)\/q*q*(q*q**1*q)\/q*q**(2\/15)*q)**(8\/5) assuming q is positive.\nAnswer: q**(22472\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/12 + -5\/4. Let u = -0.06 - 1.94. Let r = 0 - -0.5. Which is the nearest to z? (a) r (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(1\/8)\/(o**(-2\/15)\/(o**2*o)))\/((o**(-1)\/o)**(-11)*o\/o**(-6)*o**7\/o) assuming o is positive.\nAnswer: o**(-3839\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7849.6011 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15439861 is divided by 609.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 16*j**2 - 16*j - 9. Give l(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 85*u**3 - 153. Let c(v) = -1. Give -306*c(f) + 2*w(f).\nAnswer: 170*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2.98, -1\/142, -7?\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*c - 23, 5*a + 0*c - 34 = c. Calculate the greatest common divisor of 77 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 0.2 (c) -0.1 (d) -5\/13 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10016, 9930, 9792, 9608, 9384, 9126, 8840?\nAnswer: 8532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13210*d + 14631. Determine q(-1).\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 550, 1101, 1652?\nAnswer: 2203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 273550, 0, -2 in increasing order.\nAnswer: -2, 0, 273550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145888 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhlhlhlllhlhllhll. Give prob of sequence hhh.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*a - 9, 0 = 5*b - 4*a + 1 - 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -45279 and 1210245896?\nAnswer: 1210291175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t - 52*t - 8*t - 132 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -210.711, 1, 2\/39 in ascending order.\nAnswer: -210.711, 2\/39, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(400)*4)\/((-2*sqrt(128) - sqrt(128) - sqrt(128)) + sqrt(8)).\nAnswer: -4*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2492*i + 866*i**2 + 2492*i to m + g*i + d*i**2 and give d.\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 14872*y - 12 - 12 + 42.\nAnswer: 14872*y + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 14*q + 57. Let z be 5*(1620\/(-75))\/(-6). Determine y(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = p - 211. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 1:27 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106 and 848?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 5*p + 1. Let o be a(-11). What is the common denominator of ((-10)\/(-7))\/((-20)\/o) and (182\/24)\/((-2)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 62 = 2*f, 0 = -0*n - 2*n + 5*f + 160. Let s = 3 - n. Is (-6 + 4)\/(2\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b**3 - 355*b**2 - 831*b - 246. Let y(z) = 27*z**3 + 710*z**2 + 1663*z + 513. Let w(h) = 7*g(h) + 4*y(h). Factor w(o).\nAnswer: 5*(o + 2)*(o + 33)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1899883 by 164.\nAnswer: 1899883\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, e: 10}. Give prob of picking 2 e and 2 m.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8))**(7\/3)\/((h*h\/h**(1\/18))\/h)**(-2\/15) assuming h is positive.\nAnswer: h**(-179\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h**4 + 28*h**4 - 85*h**4)*(-6 + 0 + 4)*(-8*h + 16*h + 9*h)*(-3 - 3 + 3).\nAnswer: -8568*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**7\/147 + 2*f**6\/105 - f**4\/21 - f**3\/21 + f. Let g(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:00 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11236468 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 38*a**2 + a - 1. Is w(2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 4*s + s + 2*s + s + s + (-286 + 148 + 227)*(-3*s + 3*s - 2*s) - 4*s + 4*s - 2*s + (0 - 4*s + 0)*(-5 + 2 + 2) as y*s + g and give y.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 1*-2)*(-19)\/38?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13627*s**4*y**3 + 17*s**4*y**2 - 56616*s**2*y**3 wrt s?\nAnswer: 327048*s*y**3 + 408*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2010 - 2005. Solve 0 = u*t - 2*o + 18, -17 = 4*t + 42*o - 41*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-50))\/4 - (-630)\/(-50)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 9000?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 20*j - 11. What is z(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158356 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10277.92888 - -3380.07923. Let x = -6930.85 - v. Let h = x - -33. What is h rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31120.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 243056946 to the power of 1\/2, to the nearest integer?\nAnswer: 15590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 315815.7 + 15546.\nAnswer: 331361.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**3 + 65*v**2 + 60*v = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {h: 4, g: 1, y: 2, n: 1, j: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -202 (b) 1\/4 (c) -0.3 (d) 0.2 (e) -10746 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970582?\nAnswer: 2, 97, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59794592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*q - 41 = -9, 5*q = 4*h - 102. Suppose 3*f - h = -7. Factor -j**2 - 1 + f - 4*j + j**3 - 2.\nAnswer: (j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 12) to base 13\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28586 minus 9?\nAnswer: 28577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 8*p = 0. Solve -2*q + 0 + 6 = p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, w: 3, n: 2, y: 1}. What is prob of sequence wyww?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(7 - 1). What is the biggest value in 2\/3, -2\/5, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u. Suppose 5*v - 10 = u, -5*g - 5*v - 45 = -10*v. Let w(c) = -3*c - 9. List the prime factors of w(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035598 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -183\/17678?\nAnswer: -183\/17678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -186*i**2. Let p(c) be the third derivative of c**4\/3 + c**3\/2 - 2*c**2 + 1. Let d(x) = -10*x - 4. Let g(b) = -3*d(b) - 4*p(b). Give h(g(u)).\nAnswer: -744*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:48 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/14)\/(9\/6). Let g = -146\/5 - -29. Let o = -0.01 - 4.99. What is the nearest to j in g, 2, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 2*h - 11, -j - 6*h + h + 26 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60650.07 litres to millilitres.\nAnswer: 60650070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -821.19 minus 17.42423?\nAnswer: -838.61423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Let u(r) = -r**2 + 6*r - 7. Let k be 13\/4 + 6\/(-24). Let j be u(k). Sort -4, j, x in ascending order.\nAnswer: -4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3808 divided by 66017?\nAnswer: 544\/9431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = -3*l, 5*u + 2*l - 1 = -0. Let o be u + -1 - (3 + -3). Is o < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/43? (a) -1\/7 (b) 10 (c) -5\/14 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10504 + -5904. List the prime factors of a.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -570 + 576. Solve 5 = b*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -130*p**2 + 19. Let j(g) = -g**2 + 3. Let i(w) = 6*j(w) - z(w). Let y(k) = -5*k. Calculate i(y(u)).\nAnswer: 3100*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, -2, -1.477, 3, 14, -5 in decreasing order.\nAnswer: 14, 3, 2\/29, -1.477, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1957*u**3 + 7*u**2 + 123 wrt u.\nAnswer: 11742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k + 94*k - 3*k**3 - 46*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*b**3*d*l**2 + 2*b**3*d*s + 3*b**3*d + 2*b**2*l**2*s + b**2 + b*l*s + 16*d*s wrt b.\nAnswer: 402*d*l**2 + 12*d*s + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -30. Which is the closest to p? (a) 0.1 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ema when three letters picked without replacement from {e: 1, a: 1, z: 2, m: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 - 10*g**4 + 144 + g**2 - g**3 - 146 - 2*g + 8*g**4 as s*g**4 + z*g**3 + f*g**2 + v + j*g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -16. Is 28 a factor of (-1659)\/(-18) - 2\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 145, 148, 151?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -266*g - 521. Determine x(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -14. Let h(a) = -a**3 + a**2 + 3. Let i(c) = -c**2 + c - 1. Let v(r) = -h(r) + 3*i(r). What is the remainder when v(5) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02173 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5.0000172. What is n rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 581925, 581813, 581701, 581589, 581477?\nAnswer: 581365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -64. Let r be 3 + 70\/u*(-4)\/11. Do r and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.76 - 0.56. Let q be (-1)\/4*-3*4. What is the second biggest value in n, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 4170*g**2 + 200688*g - 418080.\nAnswer: 3*(g - 2)*(g + 52)*(g + 1340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4 (c) -3 (d) -10.1 (e) -4 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1799921 rounded to 2 dps?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(2)*2)\/((sqrt(9)*-2)\/sqrt(3)) + (-2*sqrt(48))\/(4*((sqrt(6) - 1*sqrt(6)) + sqrt(6))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 72 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 1338*q**5\/5 + 53*q**3\/3 - q**2 + 144*q + 2. Find the second derivative of w(f) wrt f.\nAnswer: 32112*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/66, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 4, p: 2, n: 1}. Give prob of sequence np.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -326, -495, 3 in descending order.\nAnswer: 9, 3, -326, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(136) - ((sqrt(136) - -5*sqrt(136))*2 + sqrt(136)))*-2)\/((sqrt(64) - ((sqrt(64) - -4*2*sqrt(64)) + sqrt(64)))\/(4*sqrt(40)\/sqrt(5))).\nAnswer: 160*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -i + 3, -3*b = i - 9. Suppose -6*a = 3*l - 3*a + 6, b*l + a = 1. What is the first derivative of -12*m - 1 - 7 - l + 2 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/90 + 8*t**4\/3 - 95*t**3\/9 + 142*t**2\/9 + 1202*t. Factor m(r).\nAnswer: -2*(r - 142)*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -71 + 71 - 4\/14. Which is the nearest to -0.4? (a) -0.2 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = i - 3*a - 60, -4*a = i - 78. Let l = -68708 + 68979. What is the remainder when l is divided by i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -3*b. Suppose b*t - 16 + 2 = -4*p, 0 = -p - 3*t + 1. Suppose -l + 34 - p = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74181729 and 591?\nAnswer: 74181729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 95 = 641. Let k = -7 + 31. Is k smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446974251*d**3*v*y**2 + 17*d**3*v*y + 7*d**3*v - 15*d**2*v*y + 18480*d*y wrt y?\nAnswer: -893948502*d**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -160819, -325387, -489955, -654523, -819091, -983659?\n\"Answer: -164568*s + 3749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6 = -14, 5*k + 7*m - 74 = 0. Let o = -914 + 1790. Calculate the greatest common divisor of o and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 8. Determine i(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17869639.\nAnswer: 43, 53, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3870 and 117\/2150.\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*c - 49*c + 158*c - 69*c + 9*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 - 2*a**2 + 2*a + 1. Let t(u) = 2*u + 3*u - u**3 - 6*u + 0*u**3 + u**2 - 1. Calculate -2*t(o) - y(o).\nAnswer: -2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) -0.6576 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 170447?\nAnswer: -170448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42497 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a**(5\/4)*a)*a))*a*a**(2\/27))\/((a\/(a**5\/a))\/a)**(1\/5) assuming a is positive.\nAnswer: a**(877\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -b62d?\nAnswer: -b62b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16880*v**3 + 7*v**2 - 7*v + 7. Let o(t) = -8659439*t**3 - 3590*t**2 + 3590*t - 3590. Determine -3590*b(n) - 7*o(n).\nAnswer: 16873*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17188 and 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/3 - -4. Let c be 4\/(-14)*(1 + 0). What is the nearest to i in c, 3, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 3*s**4 + 3*s**4)*(3 - 7 + 3)*(0 + 7 - 1).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020978301?\nAnswer: 7, 145854043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20007, 40052, 60097?\nAnswer: 80142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1473 in 5, -0.04, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/(-4) + 1\/(-2). Let r = -5\/298 - -5543\/1788. What is the common denominator of r and f\/(-44)*(-19)\/3*-1?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide (0 - -3178) + (12 - 14)\/(1\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 2, x: 2, t: 2, v: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - (10 - 24 - -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let n(x) be the third derivative of x**4\/24 + x**3\/3 + 3*x**2. Calculate 3*g(z) + 2*n(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.03284 times 0.05\nAnswer: -0.001642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 6*y**2 - 1508*y - 11941. What is d(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, 5, 1, -3, 1.01 in increasing order.\nAnswer: -119, -3, 1, 1.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 70028.7048 and -9051.\nAnswer: 60977.7048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 20*r**2 + 3. Let w(v) = -v**3 + 20*v**2 - 63*v - 13. Let b be w(16). Let f(o) = 59*o**2 + 8. Give b*f(s) - 8*l(s).\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/69202 and 37\/54699238.\nAnswer: 382894666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1307 + 0.1307. Which is the closest to 1\/14? (a) 1.4 (b) 1 (c) -2\/17 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = h - m, 0 = 2*h - 5*m - 471 + 25. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460350 at least as big as 10222460\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/7, -1.2, -2, -23?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:06 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120397.977 minutes in weeks?\nAnswer: 11.94424375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -66, 83, 422, 1017?\nAnswer: 1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1886 (b) -1 (c) -54 (d) -5 (e) -0.4 (f) -40 (g) -2\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 12) in base 11?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -74547*h - 1893. Let y be q(-19). What is y rounded to the nearest ten thousand?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 - 8*g + 2. Let i(z) = 4*z**3 - 11*z**2 + 25*z - 7. Suppose -5*n - 28 = -7*n. Let u(r) = n*j(r) + 4*i(r). Solve u(o) = 0 for o.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12074521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120354153 (base 7) to base 8.\nAnswer: 34411074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/5 (b) -2\/5 (c) 0.5 (d) 0.12 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t**2 - t**2)*(-5*t - 6*t + 9*t) + t**2 - 2*t**3 - t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1726565 and 1270.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889*j + 889*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1080 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2062691 and 436904?\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(324\/264)\/(-27).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53024 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5653*r - 1155*r + 804*r + 2198*r to s*r + j and give s.\nAnswer: 7500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/3 + 4*u = 0 for u.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/6 - z. Let p(x) be the first derivative of -x**3\/3 - 5*x**2\/2 + 6. What is p(c(t))?\nAnswer: -4*t**4 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/22)\/(42\/4 - 10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**3 - 11*n**2 + 11*n + 7. Let k = -5 + -6. Let o(i) = 7*i**3 - 6*i**2 + 6*i + 4. Determine k*o(d) + 6*v(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(5*b - 4*b + 3*b)*(4*b - 6*b + 3*b)*(5 + 14 - 3).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.86 - 0.56. Let k = m - 2.7. Which is the nearest to -1\/2? (a) 0.3 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmcvmvmvcmvmmm. Give prob of picking 1 v and 3 c.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 83296, 83316, 83346, 83386, 83436, 83496, 83566?\n\"Answer: 5*a**2 + 5*a + 83286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.2 + -7. Let p = -1.8 - a. What is the nearest to p in -0.5, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 25672960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 48 = 28. Let d = -7 - t. Suppose 0 = -14*c + d*c + 30. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.6439 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (480\/(-520))\/((-14)\/91). Let b(z) = 4*z + 7. Let k(p) = -4*p - 8. What is u*b(t) + 5*k(t)?\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 - 2*q - 12. Let d be f(6). Suppose -d*y = -8*y - 1324. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32010 (base 8) to base 2\nAnswer: -11010000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*l = -2, 2*m + 2*l = 6*l + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000202706 rounded to seven dps?\nAnswer: -0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((624\/108)\/(-13) + ((-175)\/45)\/7)*-48.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from hxxgsxgbbhxbbxgb?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:41 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 3*i - 2. Calculate the remainder when j(1) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 615 - 222 - 226 - 209 - 2*i. Give x(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029227 rounded to five decimal places?\nAnswer: 0.00292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one halves of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -4. Let z be (-2 - -3) + 4 + a. Find the third derivative of z*u**6 + 0*u**2 + u**2 - u**6 wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*k = -7, 1019*k - 1022*k - 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*t + 97 = 0, 5*n + 0*t = 5*t + 245. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l*n**6 - 238*l*n + 170*n**5 - 2*n**2 wrt n.\nAnswer: -240*l*n**3 + 10200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 95 (c) 326.07 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4\/379, 1\/11, -1389?\nAnswer: -4\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n. Let v(o) = -2*o - 18. Let p be v(-8). What is the remainder when 2\/(-8) + (-93)\/(-4) is divided by h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134798*d*v**2 - 191008*d*v wrt v.\nAnswer: 269596*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(24) - -1*sqrt(1176)))\/((sqrt(64) - ((sqrt(64)*2 + sqrt(64) - sqrt(64)) + sqrt(64)))\/sqrt(8) - (sqrt(8) - sqrt(56)\/(sqrt(63) + sqrt(7)))).\nAnswer: 64*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1, i: 1, y: 1}. Give prob of sequence in.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 13 - 1 = -l, -5*l + 30 = -5*y. Calculate the remainder when 44 is divided by ((512\/(-4))\/(-2))\/l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 10. Calculate h(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 31*f**7\/42 + 13*f**3\/6 - 3*f**2\/2 + 26*f. What is the second derivative of t(y) wrt y?\nAnswer: 620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1005015 = 5*t, 144183 = -t - 4*j - 56797. What is t rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 461*l + 49. Suppose 3*d = 5*f - 28, 2*d = 3*d + f + 20. Let m be a(d). Let o = m - -10266. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -765\/2 + 452. Let b = q - 69. Sort b, -5, -2\/7, 1 in descending order.\nAnswer: 1, b, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333\/18 + 6\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3\/20, 1\/11, -32, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -993 (base 11) to base 14\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 17. Solve -w*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k - 81*k + 2592 = 78*k - 272*k for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*z + 3 = 0, 17 = 2*k + 5*z - 10*z. Let h = k + 6. Let t(m) = -2*m**2 + 3 + m**2 - h. Let d(x) = -2*x**3 - 2*x**2 + 2*x + 3. Give d(n) - 3*t(n).\nAnswer: -2*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_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: Collect the terms in 10024*n - 14 - 4997*n - 5029*n.\nAnswer: -2*n - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35908?\nAnswer: 2, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 22602?\nAnswer: 22614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.90504 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -47036.\nAnswer: 4703.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -200*r - 13. Let n be 7 - 11 - (0\/2 + 0). Is l(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from cccccxxc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23787468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b**3 - 5*b**2 - 2*b + 6. Let u(o) = 95*o - 1522. Let l be u(16). Calculate c(l).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 26. Let c = -4 + v. Solve 3*z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-561)\/(-1530) - (-2)\/8*-2. Sort 2, -2\/5, g, 3 in descending order.\nAnswer: 3, 2, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 - 30*y**3 - 60*y**2 - 50*y - 15 = 0. What is y?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 15*y**2 + 20*y + 74. Give o(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 17 - 17 + (x + x - x)*(-3 + 2 - 1) + (12 - 17 + 7)*(-2*x + 0*x + 6*x)*(-2 + 2 + 3) + (3 + 2 - 3)*(1 - 2*x - 1) to o + g*x and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 3*n**2 - 4*n + 2. Let w be t(3). Let h(g) = -g**3 - 11*g**2 - 9*g + 12. Let z be h(w). Which is the biggest value? (a) z (b) -0.3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451875426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16447789.\nAnswer: 17, 71, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s - 3. Let m(y) = y + 4. Let q be m(6). Let v be -1 - q\/(-3)*3. Solve -s*g - 1 = v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u, -4*u + 143 - 598 = 3*n. Is (4 - n)\/(2 + (-18)\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 16\/9 + 2*d + 14\/9*d**2 + 2\/9*d**4.\nAnswer: 2*(d - 8)*(d - 1)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*r + 25, -4*n + 3*n + 2*r = 5. Solve -5*q = n - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002468 rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*n, o + 5*n - 18 = 2*o. Suppose -9 = -x + 5*y + 3, 5*x - y - 36 = 0. Suppose x*z = o*z. Solve z = i - 3*i - 10, -4*g - 36 = 4*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2599 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1028861, 1028860, 1028859, 1028858, 1028857?\n\"Answer: -w + 1028862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54721.5 centuries in millennia?\nAnswer: 5472.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 729013715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -1.5.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 2002086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, e: 3, a: 4, c: 5, n: 5}. Give prob of sequence jn.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/143 + (-90)\/11. Let b(a) = -28*a - 24. Is b(g) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 + 10*d - 61 + (-3 - 1 + 3)*(d + 2*d - d) - 13 + 43*d + 13 to z + w*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 125 = -13*t. Suppose -t*w + w + 60 = 0. Let q(c) = 3*c**3 + 8*c**2 - 5*c. Let m(h) = -h**3 - h**2 + h. Calculate w*m(b) + q(b).\nAnswer: -3*b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -0.22, -5, 0.3, -7.06, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 195 + 195.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 746 - 550. Suppose 4 = -z*x + 32. Let v = 1.1 - 1. Which is the biggest value? (a) v (b) -0.11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a56 + -5?\nAnswer: -1a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2581488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.4, -4, 47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -50*d + 933. Let o(a) = -16*a + 314. What is 19*o(g) - 6*r(g)?\nAnswer: -4*g + 368","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**6\/8 - 537*l**5\/40 - 8121*l**4\/16 - 13891*l**3\/2 + 17661*l**2\/2 + 13217*l. Suppose p(j) = 0. Calculate j.\nAnswer: -29, -14, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -264*u - 18664. What is d(-67)?\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96233, -96222, -96215, -96212, -96213, -96218, -96227?\n\"Answer: -2*z**2 + 17*z - 96248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z + 14 = s, 2*s = -z + 7. Suppose s*f = 7 - 32. Suppose -27 = -2*l - 25. Sort f, 5, l.\nAnswer: f, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, c: 4, o: 3}. What is prob of picking 1 c and 1 o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**2 - 11*i**2 + 9*i**2)*(4*i**3 - 5*i**3 + 4*i**3).\nAnswer: -30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s**3\/3 + 2. Let c(m) = -13*m. Give c(y(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -17. Let a = 32 + -31. Suppose -3*p + 3 = 4*v, 4*v = -5*p - 4 + a. Solve v*l = -x - 2, 4*x + 2*l = -3*l - c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, e: 7}. Give prob of picking 1 d and 2 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13036)\/456260)\/((-6)\/40)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341468583 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474231210 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27469 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8661.595 * 0.3.\nAnswer: -2598.4785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 32*f - 2574 = 0. Let u = -285 - f. What is u rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48418021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and 48935804467?\nAnswer: 48935804475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-18 + (17 - -11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 1. Let s be p(-1). Suppose -5*v = -x - 21, -4*x + s = -v - 11. Let r = x - 1. Solve -4*f - r*n - 15 = 0, 2*n - 3 + 11 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 11. Find the second derivative of 3*d**b + 8*d**5 - 5*d**5 + 7*d wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -218 (c) 23 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103829460391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078, -4172, -9284, -16420, -25586?\nAnswer: -36788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9985113 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -1266, -4273, -10108, -19713, -34030, -54001?\nAnswer: -80568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102, 201, 300, 399, 498, 597?\n\"Answer: 99*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 31. Find the second derivative of -2*n**l - 1 + 2*n**2 - 6*n**2 - 6*n wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1076 - 6*s**3 + 4*s**3 + 1074 - 18*s as w + t*s + x*s**3 + m*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17832 + 21387. Calculate the greatest common factor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = 2*x - 12*t + 80, 5*x + 3*t - 80 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:51 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/((-1)\/2). Let l(s) = s**2 - 3*s + 3. What are the prime factors of l(m)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 7*u + 13. Calculate the greatest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/1047 or 1?\nAnswer: -70\/1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:02 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 476883264 divided by 2288?\nAnswer: 208428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/2576 and -29\/56?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10044282 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(((-12)\/(-8) - 0)\/3). Sort 2, 30, h in decreasing order.\nAnswer: 30, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -25 - 26) + 25 + -2 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/4)*((a*a\/(a**(2\/7)\/a))\/a)\/a)\/((a\/a**1*a)\/a*a)**(-22))\/(((a**(-1\/2)\/a)\/a)**(3\/2)*((a*a*a**0)\/a)**(-5\/9)) assuming a is positive.\nAnswer: a**(1718\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -843.4 + 1022. Let s = h + 12.4. Let x = -182.1 + s. What is x rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -803, -1574, -2345?\nAnswer: -3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-20)*15144\/(-17668).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 4:10 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0.4, 0.1 in descending order.\nAnswer: 0.4, 0.1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*t = 0, -4*l = -9*l - 2*t - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 8606446.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.035 (b) 0.4 (c) 1\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3085, -3, -15, 428.\nAnswer: -3085, -15, -3, -1, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (398 + 34 + 199 + 137)*(3 - 3 + m**4).\nAnswer: 768*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z + 149 - 80 - 73)*(z - 17*z - 25*z).\nAnswer: 451*z**2 + 164*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 13816 + 440 = 0. Let o = 2785 + m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104020 divided by 6?\nAnswer: 52010\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:07 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*j)*(3*j**2 - 5 + 4 - 2*j**2) - 2 + 2 - 2*j**3.\nAnswer: -6*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -16*d**2 - 337*d - 1286. Give r(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let r(h) = -5 - 16 + 21 - h + 10*h**2. What is the tens digit of r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 - 116*x + 533. Calculate w(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + -22304420?\nAnswer: -22304532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 + i**5 - 3*i**5 + (0*i**2 - 3*i**2 + i**2)*(2*i**3 + 0*i + 0*i) - 410530 + 410530 + 376*i**5.\nAnswer: 367*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {h: 2, q: 3, i: 2, v: 1, k: 1, n: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 466 + -463. Let d be 1 + 22 + (-2 - l). What is the highest common factor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.224 - 0.176. What is the second smallest value in 5, u, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 20*d**4 - 269180*d**3 + 905588785*d**2 + 906059900*d - 679393500 = 0.\nAnswer: -3\/2, 1\/2, 6730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 59635812.7 to the nearest 100000.\nAnswer: 59600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2144627*y**4 - 664392*y**2 wrt y?\nAnswer: 51471048*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*h**2*l**3 + 337*h**2*l**2 + 658*h**2*l + 3783666*h - 17*l**3 wrt h?\nAnswer: 68*l**3 + 674*l**2 + 1316*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, a: 2, q: 4}. Give prob of picking 2 q and 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 56 + 60 + 4*d**2 + 89*d**2 - 176.\nAnswer: 93*d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0 + 2*z**2 - 3*z**2 - 2*z + 4*z**2 - 2*z**2 + 73. What is the units digit of x(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:54 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 + 10*p**2 + 13*p - 23. Let h(n) = 2*n**3 + 9*n**2 + 13*n - 22. Let v(g) = 3*c(g) - 4*h(g). What are the prime factors of v(9)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppjupppj. What is prob of picking 1 p and 1 j?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 3*y**3 + y**3)*(-6*y + 7*y + 0 + 31).\nAnswer: -3*y**4 - 93*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 56 = -3*a. Suppose 16*x + 211 = -61 + 480. Solve -a*y = -x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 259 - 1a02?\nAnswer: -1787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0411, 0.2, 0, -2\/89?\nAnswer: -0.0411","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1669, 1701, 1729, 1753, 1773?\n\"Answer: -2*p**2 + 38*p + 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -133.6 (c) 2 (d) 0 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*r + 2*d - 14, 4*r - 24 = 4*d. Let q(o) = -o**3 + 8*o**2 - 8*o. Let t be q(r). What is the highest common factor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k + 2. Suppose -3*x - 21 = 6*s - 9*s, 0 = -4*s - 2*x + 22. Suppose 15*j - 84 = -s*j. Give p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9366?\nAnswer: 2, 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2373 + 2396 = -5*q, -5*l = 4*q - 12005. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*f = -238*f + 5*k - 35, 4*k - 4 = 4*f. Solve -2*b - 8 = f*p, 7*b - 3*b = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 57890*i**2\/3 + 139645152*i + 139625856.\nAnswer: 2*(i + 1)*(i + 14472)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1516*p - 1508*p + 16. Let o(q) be the third derivative of -q**2 + 0 - 1\/8*q**4 - 1\/2*q**3 - 1\/120*q**6 + 0*q - 1\/30*q**5. Calculate o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69927 - 34015. List the prime factors of c.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3194403*y - 20*y**2 + 3194403*y - 13*y**2 - 2 - 7*y**2.\nAnswer: -40*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21224, -42411, -63526, -84563, -105516?\n\"Answer: c**3 + 30*c**2 - 21284*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 21 - 1. Let i be 2\/(-4)*(48 - (m + 10)). Sort -4, 0, i, -5.\nAnswer: i, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012054707 rounded to four dps?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 35\/(-4)*(5 + -129) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + l + 1. Let i be v(-1). Let d = 9 - i. Suppose -4*f + 65 - d = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - 46. Suppose -v + 39 = 53. Let i be z(v). What is the units digit of (-39 - 1)*6\/i*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179767962 divided by 59922654?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 26. What is the highest common factor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 390442391.\nAnswer: -117132717.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(2\/5)*a*a)\/a*a)\/a*a)\/a)\/a**(-27)*(a\/(a*a*(a\/a**8)\/a*a))**(-42\/11) assuming a is positive.\nAnswer: a**(302\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k - 50 = x, -4*k + 3*x + 70 = 0. Let l be (-6)\/(-21) + 204\/21. Suppose -l*s + 108 = -s. Calculate the smallest common multiple of k and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 690 and 207267260?\nAnswer: 621801780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39.4843487286987 and -4?\nAnswer: 35.4843487286987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15621 and 4445.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 20*a + 15 = -217, -136694*r - 64 = -136697*r + 5*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = 4*a - 8, 4 = v. Let p(t) = -t**2 + 4*t + 7. What are the prime factors of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10\/3 (b) 0.3 (c) -0.01 (d) -1\/3 (e) 2\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 614*u**2. Let d(q) = 5*q**2. What is d(z(p))?\nAnswer: 1884980*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27864, 2\/5 in decreasing order.\nAnswer: 27864, 3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 26*q**2 + 28*q**2 - 3 as h*q + z*q**2 + t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 24 = 2*a. Suppose -3*v - 11 = 2*m - 98, -a*m + 134 = -2*v. Let y = m + -35. Solve -d + y = -4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**3 + 32*b**3 + 38*b**3.\nAnswer: 59*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)*(-1)\/2. Suppose -3*t = -5*h - 150, c = -2*t - 0*h - 3*h + 81. Let y = t + -31. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 7*f - 2*a, 5*f - 369 = -4*a - 294 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/5)*v*v)**45\/(v\/v**(-10\/9)*v*v*v)**3)**(-4\/23) assuming v is positive.\nAnswer: v**(-2084\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -3\/5 (c) -3\/7 (d) -67 (e) 0.01 (f) -3\/8 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 7*q + 2. Determine c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 0*d - 4*d + 4*d**2. Let j be r(-1). Suppose -l = -4*t - j, 4*l - 6*t = -5*t - 25. Sort -5, l, -3.\nAnswer: l, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3926 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17*p**2 + 2*p + 18. Let v(d) = 8*d**2 - 1. Calculate -q(g) - 2*v(g).\nAnswer: g**2 - 2*g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 178.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102487791 or 102487792?\nAnswer: 102487792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-15)*(-8 + (0 - -3)). Suppose p*m = m. What is the remainder when 28\/7 + (19 - m) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*d + 33 = d, 219*l - 3*d + 37 = 224*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86656 + -85565.97. Let z = 1076 - b. What is z rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -424 - -429. Which is the second biggest value? (a) 0.5 (b) -2 (c) q (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*2*1 - sqrt(171) - (5*sqrt(171) + sqrt(171) - sqrt(171) - sqrt(171))*-3)\/(sqrt(576) + 1*-1*sqrt(576) + sqrt(576)*1*6).\nAnswer: 7*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97234104 and -0.3.\nAnswer: 29170231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19015 + 270 = 81*x - 1451. Calculate the greatest common divisor of x and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-7 + 4 - -2). Suppose -2*s + 5 - c = y, 2*y - 3*s + 6 = 0. Suppose m + 13 - 26 = y. Solve -5*x = 3*n - 3*x + m, -5*x + 10 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2687734923 to 5 decimal places.\nAnswer: -0.26877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 8*m**2 - 2*m + 24. Determine x(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Let s be 0*(-3 + 4)\/(-2). Sort s, k, 3 in decreasing order.\nAnswer: k, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1441 + -1421. Solve -29*d + 33*d = -t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3316*s**2 + 6688*s - 129. What is j(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + 1 - (5 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332272 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5827*z - 1. Let c be l(-1). Let m = -4872 + c. Round m to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229999 is divided by 410?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*6\/6*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691*u + 691*u - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457961 and 36237.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201098020*k**3 - 21904*k**2 - k - 196 wrt k?\nAnswer: 1206588120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26150 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.41? (a) 4.3 (b) -0.3 (c) -2\/7 (d) -78.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 30*d**3 - 5*d**2 + 7*d + 1. Let i be y(3). Suppose -523 = -0*o - 2*o + 3*l, -3*o + i = -2*l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932050 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:37 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 351*a - 2385. Calculate the remainder when 151 is divided by q(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.51*-4.\nAnswer: 54.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4276 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*n*v**2 + 211*h*n*v - 6*h*v**2 + 34*h + 3*v**2 wrt n?\nAnswer: -h*v**2 + 211*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 260 - 111 - 149 + 619*i as a*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from xzixhdhifhhdh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19*s + 61. Let h be a(3). Solve h*q = 7*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwvvww. Give prob of picking 2 w and 1 v.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/2)*d)\/(d\/(d*d*d**(-4\/3))))\/(d**(-8)\/(d\/(d*d**(-1\/6))*d)))\/((d\/(d*(d\/((d\/d**(-9))\/d*d)*d)\/d))\/(d**(-3)\/d))**(5\/18) assuming d is positive.\nAnswer: d**(121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24431254223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 a when four letters picked without replacement from ejajaeaaaaeeaaeea?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121174334 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1. Let s(q) = -6137*q - 5 - 6139*q + 12275*q. Calculate -s(c) + 2*v(c).\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(2*sqrt(128) + sqrt(128) + sqrt(2)) + sqrt(99)\/(sqrt(1089) - 2*sqrt(1089)).\nAnswer: -14*sqrt(11)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41143 is divided by 319.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d**6*d)\/d)\/d))\/d**32 assuming d is positive.\nAnswer: d**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 9*s - 71. Let f be o(-14). Let h be (-6)\/30 + (-38)\/10. Put 33, h, f in descending order.\nAnswer: 33, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -407\/3325 - -3\/175. What is the fourth smallest value in u, 1, 0.3, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22414, 44839, 67278, 89731, 112198, 134679, 157174?\nAnswer: 179683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/60 + 11*c**2. Let r(u) be the third derivative of 11*u**4\/24 - 4*u**2. Determine r(t(n)).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4\/(-3*1\/(-255))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*h + 5. Let w = -29\/5 + 121\/20. Factor -d**h + w*d**5 + 0 - d**2 + 3\/2*d**3 + 1\/4*d.\nAnswer: d*(d - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-240)\/15)\/496)\/((-7)\/21)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1765 and -65318?\nAnswer: 11528.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + 4 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119118.\nAnswer: 2, 17, 62327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*i**3*y + 2881*i**2*y + 6*i - 23457*y wrt i.\nAnswer: -246*i*y + 5762*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825519209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2880 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -40, -68, 8, 1 in decreasing order.\nAnswer: 8, 1, -1, -40, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -311691, -623384, -935077, -1246770?\n\"Answer: -311693*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**4 + 6*m**3 - 12*m**2 + 2*m + 2. Let d(n) = 25*n**4 + 19*n**3 - 35*n**2 + 5*n + 7. Let w(t) = -4*d(t) + 14*k(t). Factor w(r).\nAnswer: 4*r*(r - 1)*(r + 2)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1748, 0 in ascending order.\nAnswer: -6, 0, 1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 30. Let h be a(5). Suppose 2*v - 6 = 2*f, -h*v = -2*v - 5*f - 3. What is the lowest common multiple of v and 1207?\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18148199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 3*w**3 - 133*w + 186 + 395*w - 129*w - 133*w to the form i*w**2 + o + c*w**3 + z*w and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-1))**(-1\/16)*z*z**(-6)*z*z**0\/z*z)**30 assuming z is positive.\nAnswer: z**(-255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-2\/11)*z)*z\/(z**(-1\/31)*z) assuming z is positive.\nAnswer: z**(73\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 50, 113, 174, 215, 218?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 8*h - 6. Let g be k(-7). Let o = -0.6 - -0.4. Let p = 0 - 0. Which is the nearest to p? (a) 1\/10 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + -14 - -94 - 54\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 10*l + 15*l + 344 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1 + (1 - 16). Let z be v\/3 - 8\/(-12). Suppose l - 3*k = 10, -4*l = k - 2*k + 4. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.1365668 and 3?\nAnswer: 9.4097004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9735 + 9736. Let t = 11 + -7. What is the second smallest value in t, -14, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3 - 38220*t**2 + 183091896*t - 4734587728 = 0.\nAnswer: 26, 9542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d - 104. Give u(32).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 8*n - 25. Suppose -4*u - 5*a + 164 = 0, -2*a = -5*u - n*a + 172. Calculate the least common multiple of 24 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 9*w - 6*w + 114*w**2 to i*w**2 + z*w + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1897787 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1258944, 6, -4 in decreasing order.\nAnswer: 1258944, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.265677 to 4 dps.\nAnswer: 0.2657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 4*k**2 + k**2 + (0*k - 3*k + 2*k)*(2*k + 1 - 1) + (-2*k - 6*k - k)*(1 - 1 - 2*k)*(0 - 3 + 5).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -c - 1. Suppose 0 = 5*p - 2*g, -4*g + 5 = -4*p - c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + 22. Let o be 4\/c*3*8. Let m = -2063 + 2073. Solve o*x + m = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 534, 528, 518, 504, 486, 464, 438?\n\"Answer: -2*g**2 + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 2*s**3 - 3*s**2 + s + 18. Let t(k) = -10*k + 4. Let l(b) = -5*t(b) - 4*w(b). Calculate l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + f**2. Let i(q) = -13235*q + 13233*q - 4*q**2 + 21*q**3 + 0*q**3. Determine -3*h(d) - i(d).\nAnswer: -18*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 97643\/518*(-4)\/(-26)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 28*g + 8. Let j(o) = -19*o - 5. Suppose 81 - 16 = 13*z. Determine z*v(p) + 8*j(p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-16 + -2)) + -4 - (0 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - (-13 - -1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 508, 2172, 4996, 8980?\n\"Answer: 580*x**2 - 76*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85401.77ml in litres?\nAnswer: 85.40177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305772877?\nAnswer: 305772877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.632179 milliseconds to microseconds.\nAnswer: 632.179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.189 times -0.27688?\nAnswer: -0.05233032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4 + 0 + 3 + v**2 + v. Let x(u) = u. Suppose -40*b - m - 9 = -36*b, b - m = -6. What is b*x(z) + n(z)?\nAnswer: z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 - 15*s**3\/2 + 79*s**2\/2 - 165*s\/2 + 50.\nAnswer: (s - 5)**2*(s - 4)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 10*c - 2. Let t(h) = -h**3 + 9*h**2 - 7. Let u be t(9). Is p(u) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 493 + 1475 - 497 - 494. Determine y(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53654, 52184, 50714, 49244, 47774, 46304?\n\"Answer: -1470*s + 55124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 27 = 9. Let v(j) = -15*j**3 - 12*j + 15. Let r be v(-5). Let x(z) = o*z**2 - r*z + 1950*z. Let t(b) = 3*b**2. Give x(t(s)).\nAnswer: 108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 4*n - 1. Let w be m(-4). Let k(h) = 6*h**2. Calculate the remainder when (-5 + 4)\/(-1) - -10 is divided by k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 186, 248, 352, 510, 734?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 223501049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 5) in base 11?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/2*(-3)\/(1890\/12). Which is the third smallest value? (a) 2\/7 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 30. Let t be b(5). Let w be (-92)\/(-20) + (-171)\/285. Sort w, t, -3 in ascending order.\nAnswer: -3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*u - 40 = -109, 2*n = -4*u + 178. Let c(l) = 3*l**2 - 5*l. Calculate the remainder when n is divided by c(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*(-690)\/4140*11\/2\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1890)\/150 - (-56)\/35) + (0 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/20? (a) -4 (b) -1 (c) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-5)\/(-15)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 769286672*j**3 + 2093998*j**2 + 67.\nAnswer: 4615720032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 4*u**2 + 3*u. Let c be l(-3). Sort c, 0.4, -1 in descending order.\nAnswer: 0.4, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.039 - 15. Let g = y - -0.061. What is the nearest to g in -2, 5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214089819, 214089817, 214089815?\nAnswer: 214089813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -j + 3*h, -j - h = -0*h + 1. Differentiate n**3 + j + 0 - 1 - 1 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4815443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 2, w: 1, v: 8, j: 2, k: 3}. What is prob of sequence awrr?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 2*s**2 - 2*s + 1. Let y be b(1). Suppose -2*p = 10, -y*i + 4*p - 10 = -8*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from kykiykk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 119*b**2 + 454*b + 688. What is l(115)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-118)\/7080*15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 703400920423\/20988 + -134057717\/4. Let t = -1\/583 + g. What is the common denominator of t and (38\/6)\/(6\/(-9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:13 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*g**2*h**3 + 47*g**2*h**2 + 1900*h**3 wrt g.\nAnswer: 44*g*h**3 + 94*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*4\/(144\/84)*4\/182. Which is the fifth smallest value? (a) 2\/3 (b) f (c) -2\/11 (d) -2\/335 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -286909*o**2 - o. Let t be f(6). Let w = 3228730 + t. What is w rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3463, -3458, -3443, -3412, -3359, -3278?\n\"Answer: j**3 - j**2 + j - 3464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -14 + 18. Let p be ((16\/6)\/(-4))\/i. Let u = -69 - -66. What is the nearest to p in 1, 2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1412)\/6)\/(-11 + 5). Let j = o - 39. Let t = 0.0073 + -5.0073. Which is the biggest value? (a) t (b) j (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 453?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-62)*(14 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - -51. Suppose -s + d = 122. Let h = -0.5 - -0.2. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/60 + w**5\/15 - w**4\/12 - w**3\/3 + 21*w**2. What is y(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1, -10, -8180, 1 in increasing order.\nAnswer: -8180, -10, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 363 + 118. Let s = g - 31. Suppose -5*b = -s*x - 255, x + 4*x = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**5 + 3*t**4 - 3*t**4)*(2 - 6 + 2) - t**5 + 0*t + 0*t - 129*t**5 + 2546089*t**4 + 40*t - 2546089*t**4 + (-4 + t**5 + 4)*(1 - 3 + 0).\nAnswer: -140*t**5 + 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -74 - (0 + 2)\/2. Let t be (-2)\/(-3) - d\/9. What are the prime factors of 0 - 3 - (3 - t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84.2 + 0.\nAnswer: -84.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/2 - 6*p**2 - 45*p\/2 - 25 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3810787752 to the power of 1\/2, to the nearest integer?\nAnswer: 61732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31887738 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:32 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 6*h - 24. Let b be w(12). Let d = -357 - b. Solve -5*j - d = -32 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4028291.7 times 10?\nAnswer: -40282917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 225. Let u(w) = -3*w**2. What is x(u(s))?\nAnswer: 27*s**4 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 7\/103416613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 933 divide 136149958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -25. Suppose -k*l - 27 = -5*l. Let i be ((-30)\/l)\/(-3 + 21\/9). Solve 5*p = 10, -i*j - p = -3*p - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1051*k*r*t**2 + 2497*k*r*t - 165637*k*t**2 - k - 1047*r*t wrt t?\nAnswer: -2102*k*r - 331274*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18969 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 198, 391, 588, 789?\n\"Answer: 2*t**2 + 187*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(429\/(-66) - (-9 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2122 - -4?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ininnnnnni. What is prob of picking 2 n and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 13 + 6)*(-3*f - 3*f + 5*f) as z*f + c and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593136376 a multiple of 1612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-11))\/1 + (-60)\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -110001.\nAnswer: -110004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1279 + 2516*z - 2797*z - 1311.\nAnswer: -281*z - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1588882, -3177771, -4766664, -6355561, -7944462?\n\"Answer: -2*p**2 - 1588883*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -72436 divided by 450\nAnswer: -36218\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 22, -1043, 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 27 = 4*o, o - 2*u + 20 = 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let c = -42.9836 + -0.0164. Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let n(j) be the second derivative of -j**4\/12 - 5*j**2\/2 + 2*j. Let y(u) = -u**2 - 3. Let v(i) = 3*n(i) - 5*y(i). Give h(v(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -21 - 639. Let k be p\/50 + (-12)\/(-15). Solve 2*c = k*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-5)*-2*7865\/484?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 739 and 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24703967.\nAnswer: 1637, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12154177, -12154178, -12154179, -12154180, -12154181?\n\"Answer: -x - 12154176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1876*z - 1616?\nAnswer: 1876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:09 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -36?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 18 = -4*o. Let d(h) = h**2 + 5*h - 2. Determine d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 2, i: 1, o: 1, d: 1, h: 1}. What is prob of picking 1 c, 1 i, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -260\/31?\nAnswer: -260\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3\/(1 - 10)). Suppose 27 = 5*p - 4*h, p = -p + j*h + 15. Solve p + 2 = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**6\/10 - 6*c**5\/25 - 9*c**4\/20 + 4*c**3\/5 + 6*c**2\/5 + 24. Solve l(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 4*t + 3*h, 2*t - h = 5. Let z be t + -44 + 1 + 1. Let r = 4 - z. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7719, -31213, -70369, -125187, -195667, -281809?\n\"Answer: -7831*r**2 - r + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.041534*4.5\nAnswer: 0.186903","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y. Let d(j) = j. Let u(l) be the third derivative of -5*l**4\/24 + 4*l**2. Let t(w) = -4*d(w) - u(w). Determine t(x(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 875875 and 45175?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 21*o**2 + 38*o + 150. Let h(u) = -2*u. Let l(q) = d(q) + 4*h(q). What is the tens digit of l(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from sxsx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8 + 32*l - 64*l - l**3 + 25*l + 7*l**2. Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2175448392?\nAnswer: 2, 3, 13, 47, 49451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5192192 divided by 8.\nAnswer: 649024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) 77 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:23 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -0.014?\nAnswer: -1.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 21.5. Let z = -0.09 - -4.09. Which is the closest to 1? (a) z (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9df - -457b?\nAnswer: 3b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19290.346 take away -1.66?\nAnswer: -19288.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/14 + 887\/(-42) and ((-94)\/(-16))\/(-2 - -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 151. Let t(n) = 3*n - 5*n + 45 - p. What is t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n + 115. Let g be p(-17). What is the hundreds digit of 6\/2 + (-2814)\/24*g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 2*h**2 + 5 + 3*h**3 - 2*h**3 + 2*h**2 - 6*h**2. Let q be n(5). Solve -i + 0*i + 5 = q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/88 and 326\/45*1371\/80432.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 300 = -18*n + 5*q, -4*n - q + 423 = 0. List the prime factors of n.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 261, 269, 289, 327, 389?\n\"Answer: r**3 + r + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 221.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.063277057 and 0.0062.\nAnswer: -0.057077057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3015*c + 4. Let h(y) = -4*y + 33. Let a be h(8). Is x(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = -5*m, -m + 9 = 2*w. Suppose -3 = -m*b + 2*b. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 16) in base 4?\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/120)\/(921\/1228).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 107. Which is the nearest to z? (a) -2 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1967\/11857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 5) + -5 - (-4 + 6 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3158a (base 15) to base 11.\nAnswer: -a7648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 17*k**3 - 13*k**2 + 20*k + 21. Let r(a) = 2*a**3 - 2*a**2 + 4*a + 1. What is -j(o) + 5*r(o)?\nAnswer: -7*o**3 + 3*o**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 37*z**3 + 72*z**2 - 8*z - 58. Let t(r) = 19*r**3 + 36*r**2 - 4*r - 30. Let u(f) = 3*k(f) - 5*t(f). Factor u(v).\nAnswer: 4*(v + 1)*(v + 2)*(4*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 209, 216, 235, 272, 333, 424, 551, 720?\n\"Answer: z**3 + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/15*-1*(-9)\/75. Do 1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from mbcbbccccmcmmbcmcmmb?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/10 - a**4\/6 - a**3\/6 + 506*a. Let b(s) = s + 5. Let k be b(-6). Give d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*u = -6*t - 10, 3*t = 3*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:37 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 90.\nAnswer: 11\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 1. Let t be v(4). Suppose 6*a + 62 = 98. Let m = a - t. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c = 81*c + 99. Which is smaller: c or -59\/14?\nAnswer: -59\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.3. Let i = 14.3 + -26. Let s = 12 + i. Which is the second biggest value? (a) s (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 923, 1846, 2757, 3650, 4519?\nAnswer: 5358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(3) + -2)**2 - sqrt(2) - (sqrt(22) - sqrt(352))\/sqrt(11))*-3 + -4.\nAnswer: -22 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -121*g + 711. What is i(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 7, k: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - -0.28. Let y = 1.203 - 0.343. Let j = w - y. Sort 3\/7, 0.01, j in ascending order.\nAnswer: j, 0.01, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2191841541 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 23266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 71 - 6*n**2 - 8*n - 145 + 69. Let p(m) = 13*m**2 + 19*m + 11. Calculate -9*i(d) - 4*p(d).\nAnswer: 2*d**2 + 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/40 - -61\/280. Suppose -35 = 6*k + 31. Let a = 11 + k. Which is greater: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 316 - -405?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19397 greater than 19395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12946, -25956, -38976, -52000, -65022?\n\"Answer: w**3 - 11*w**2 - 12984*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -50*j + 0 + 0*j**2 + 1\/2*j**3. Let p(o) = -12*o**2. What is t(p(y))?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 0. Suppose -6*n + 4*n - 62 = -4*m, m + 3*n - 12 = 0. Let v be 3 + -3*10\/m. What is the biggest value in v, t, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -158, -379, -678, -1049, -1486, -1983, -2534?\n\"Answer: y**3 - 48*y**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 2*v**3\/3 - 5*v**2\/2 + 3*v - 914. Let t(m) = 3*m**2 - m**2 - 3*m**2. Give t(w(z)).\nAnswer: -16*z**2 + 40*z - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**5*y - 2*x**4 + 204*x**3*y - 3*x**2*y + 168*x**2 wrt x.\nAnswer: 120*x**2*y - 48*x + 1224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-2))\/((-2)\/(-48)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**2*y**3 - q**2*y**2 + 617*q*y**3 + y**3 + 5*y**2 - 1421 wrt q?\nAnswer: 2*q*y**3 - 2*q*y**2 + 617*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15410 or -15409?\nAnswer: -15409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-18) + (-15)\/90.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 378469.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 11*g**6\/2 + 71*g**4\/6 + g + 7. Find the third derivative of i(x) wrt x.\nAnswer: 3960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -42*u**3 - 70*u**2 + 70. Let i(r) = r**3 + r**2 - 1. Give 210*i(c) + 3*m(c).\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + -310. What is the second smallest value in -9\/4, a, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-841560)\/(-80))\/((-12)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(6)\/sqrt(3)))**2.\nAnswer: -150*sqrt(2) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1510225481, -1510225482, -1510225483, -1510225484, -1510225485, -1510225486?\n\"Answer: -u - 1510225480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3240425 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2544 - -4.7256. Which is the biggest value? (a) 3 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10387183153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -269*l. Let p(y) = 2*y**2 - 12*y. Let s(k) = 4*k**2 - 28*k. Let u(q) = -7*p(q) + 3*s(q). Determine u(m(f)).\nAnswer: -144722*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + s**2 + 146*s**3 + 10*s**2 - 150*s**3.\nAnswer: -4*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -459 (base 14) to base 11.\nAnswer: -715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u + 4*s - 9735 = 43*u, 2*u - 3881 = s. Calculate the highest common divisor of 134 and u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 4, x: 1, u: 1}. Give prob of picking 2 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 56 + -33 - 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven eighths of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*q + 34*q**3 + 135*q**2 + 104 - 19*q**3 - 2*q**4 - 21*q**2 - 31*q**3 = 0. What is q?\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 65.80434 decades?\nAnswer: 0.6580434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*k + 2*k - 2 = 0, 5*c + 5*k - 40 = 0. Suppose 5*j + p = -0*p + 61, -41 = -3*j - c*p. Suppose 0 = j*m - 6*m - 6. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3338*z**3 - z**2 + z**2 - 2261*z**3 - 112*z**3.\nAnswer: -5711*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/9601 (b) -0.1 (c) -7 (d) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/12)\/1)\/(495\/38610).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = 2*n, n + 4*n - 2*z = 8. Let w be (-20)\/130 + (-518)\/13. Calculate the smallest common multiple of 20 and w\/25*(-25)\/n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 747 - 2383 = -4*m, -4*m + 1645 = x. List the prime factors of m.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 117.5 and 2.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 83 = -2*x, -5*h + 3*x + 2*x + 440 = 0. Suppose -t - 2*r = -46, h = 2*t - 0*t + 3*r. Suppose 4*k = j - 21, j - k = -6*k + t. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1493916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 8*y**2 - 4 + 8*y**3 - 9*y**3 - 7. Let q be k(-8). Let b(g) = 6*g**3 - 2*g - 1. Let m be b(-1). Sort -1, m, q in decreasing order.\nAnswer: -1, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -72832*d. Let a(v) = -2*v. What is y(a(r))?\nAnswer: 145664*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-30) + (-3)\/(-15). Let o = 18 + -18.5. Let u = -0.27 + -0.03. Put u, c, o in descending order.\nAnswer: u, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30 + 2680)*1\/(-5)*-4.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-17 - -4) + (1 - 0) + -18\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2 - -1 - -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4155372.\nAnswer: -1\/2077686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6718 + -6717.2014. What is t rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/4 (c) 14\/15 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1389 + 5?\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/200)\/(((-18)\/(-40))\/(-9)). Solve -g*q - 29 = -33 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.0961 + -0.0761. Let n = -24.2415 - -0.2415. Let k = w + n. Which is the second smallest value? (a) k (b) -4\/9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a + 0 + 7*a - 1 + 3*a. Let b(r) = 5*r. Determine -b(n) + 3*k(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 1. Let s be x(-3). Let k = s - -9. Calculate the remainder when (258\/(-12))\/(2\/k) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19475 and 23016 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, n: 5, r: 6}. What is prob of picking 1 c and 1 r?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*m + 40*m = 710 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -334, -343, -366, -409, -478?\n\"Answer: -s**3 - s**2 + s - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - c - 755 + 190 = 0, -3*u - 4*c = -316. What is the common denominator of 15 and -2 + u\/(-10) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -43974, 3 in ascending order.\nAnswer: -43974, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 + 8*b - 5. Suppose 58*x - 315 = 149. What is the lowest common multiple of x and q(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2334200 (base 5) to base 10\nAnswer: 43050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = -b. Suppose b*u - 1 = -3*q + 4, -4*u + 26 = -2*q. Suppose -u*t + 98 = 30. Calculate the remainder when 33 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.1. Let x(f) = f - 2. Let g be x(3). Sort -0.2, s, g in increasing order.\nAnswer: -0.2, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*j - 31, -4*h + 13 = -h + j. What is the third biggest value in 140\/11, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 15) to base 12.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10197*h**2. Let i(s) = -5495*s**2. What is i(w(k))?\nAnswer: -571363555455*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q - 5. Suppose q*r = -97 - 953. Round r to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 3.9. Let c = s + 5. Let i = c - 0.99999992. What is i rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 21 = 399. Suppose 0 = 5*w - h + 10. Solve 5*p - w = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 18 = o + 14*k - 4*k - 24, 5*k = 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 20*l + 12 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 8*n + 3. Let u be z(5). Let q = u - 60. Suppose -17520000 = -q*x + 11*x. Round x to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833533902 rounded to the nearest 10000?\nAnswer: 833530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 112. Calculate the highest common divisor of 9 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -641 + 660. Solve 5*d = -0*n + 3*n + g, -4*n = -8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/118944 and 101\/13216.\nAnswer: 118944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 20 = 3*j. Suppose -51 = 22*l - 95. Solve -j*f + 10 = -l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2814010 to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-2)\/4*11*90\/(-33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 22*z + 73. Let t be s(18). Which is the third smallest value? (a) 2\/9 (b) -0.16 (c) t (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - ((-21 - -40) + -13 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 6. Let g be u(-6). Let z = 2 - g. Let a = z + 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 199, 0, -1717, -11 in ascending order.\nAnswer: -1717, -11, 0, 1, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*s + 14, -4*x = s - 12 + 2. Factor 0*i**2 - 2*i**5 + 6*i**3 + 0*i**2 + 6*i**s - 2*i**2.\nAnswer: -2*i**2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let p(c) = -c**3 - 11*c**2 - 29*c - 6. Let z be p(-7). Sort z, -0.5, -3\/17, b in descending order.\nAnswer: b, z, -3\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 1.1. Put 3, -2, i in decreasing order.\nAnswer: 3, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + 73 - 73 + 23*q**2.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 - 9*v + 5. Let t(i) = 4*i**2 - 5*i + 3. Calculate -3*s(z) + 5*t(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/15)\/((-9)\/30). Let l(j) be the first derivative of 1\/4*j**d - 1\/2*j**2 + 0*j**3 + 0*j + 1. What is the second derivative of l(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v + 4 = -5*u, 3*v - 8 = -u. Is 798\/u*(-4)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 9*l**2 + 0*l**3 + 5*l**3.\nAnswer: 5*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17470676953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641642 is divided by 914.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12642 (base 8) to base 16\nAnswer: -15a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5949.\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*y + 193*y - 90 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367990 <= 1367989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 9, -5*z - 2*n + 75 = -251. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9043*g + 2892*g + 388803 = -76662 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214 + 225. Let s(n) = 560*n**2 - 65*n - 12. Let c(p) = -187*p**2 + 22*p + 4. Let u(b) = v*c(b) + 4*s(b). Find the second derivative of u(q) wrt q.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {t: 1, l: 1, c: 2, v: 1, r: 1, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 - 211. What are the prime factors of 13*(3 + (6 + a - -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 + c**2 - 1. Let n be r(1). Suppose n*u - 3 = -x, x + 3*x = 4*u - 4. Let z = -245 + 243. What is the closest to z in 0.3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 24*q**2 + 2*q - 62. Calculate s(24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2)*-3*(2 + -14 - (-2 + -9)). Determine m, given that 0 - 4\/11*m + 4\/11*m**g - 2\/11*m**4 + 2\/11*m**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22264 is divided by 74?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d - -25?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 258\/63881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5353\/6 less than or equal to -891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 75138.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0.1. Let m = 9 + -5. Let k = -4.2 + m. Which is the second smallest value? (a) r (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949.2793ng to milligrams.\nAnswer: 0.0009492793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277958 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2943 * 2.26.\nAnswer: 0.665118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.463 and -0.247?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 + -170. Let t(z) = -3*z + 8 + 12 - 1 + 2*z + d. What is t(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -19. Calculate the highest common factor of m and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 817921 and 48?\nAnswer: 39260208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107158359.\nAnswer: 15017, 73727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 457109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*v**5 - 252475*v**4 - v**3 - 86972937*v wrt v?\nAnswer: 300*v**3 - 3029700*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 - 2*o + 5. Let y = -93 + 96. Let i be k(y). Calculate the remainder when 59 is divided by i + -3 + (0 - -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.09 and 48304.\nAnswer: 52651.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186376387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 88. Suppose -33 - z = -3*o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*m - 87 + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 - 2*n + 1. Let a be r(3). Suppose 0 = 5*s - 5, -5*z + z + s + a = 0. What is the units digit of ((-14)\/z)\/((-4)\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 5*a + 1. Suppose 0 = -3*z - 18 + 6. Let k be p(z). Let s(y) = -3*y**3 + 4. Let f(n) = 8*n**3 - 11. Calculate k*s(i) - 4*f(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 411 (base 8) to base 12\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 17 = 2*m. Suppose 0 = 4*o - 2*v - 16, -2*o - 4*v - m = -24. Solve o*j + 9 = 3*t - 18, 2*j = 4*t - 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3682574?\nAnswer: 2, 7, 17, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17625.206 rounded to the nearest 10?\nAnswer: 17630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2400 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:56 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 557 + 1116. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200\/3 + 66. Suppose -q - 3 = -5*v, 0 = 2*v + 3*v - 5. What is the nearest to d in 0, q, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8*g - 2*d + 19 = 0, 0 = -2*g + 3*d - 9. What is the lowest common multiple of 24 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.317 - 8.36. Let s = 2.79 - b. What is s rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48422 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:15 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -452*w + 4984. Give i(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237601 - 237583. Suppose 0 = 4*z + 4*o - 788, 3*z = -4*o + 3*o + 593. What is the highest common divisor of z and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.72 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -59*t**4\/12 - 30*t - 1. Let d(a) = -a**2. Determine d(w(h)).\nAnswer: -3481*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - y. Let o(j) = -7*j**3 + 35*j**2 - 37*j**2 + 2*j + 6*j**3. Give 2*m(g) + o(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -0.05 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(170*r + 169*r - 198*r) + 0 + 0 - 2*r)*(-r + 2 - 2 - 2*r + r + 0*r + (-3 + 2 + 0)*(2*r - 1 + 1) - 2 - 2*r + 2 - 4*r + r + 2*r).\nAnswer: -1960*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 87613 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 13) to base 3\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t - 37. Let p(l) = 8*l - 37. Let m(q) = -4*p(q) + 3*v(q). List the prime factors of m(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 + 666*o**2 + 327*o - 872. What is n(-166)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(84)*1 + sqrt(84))*2)\/(sqrt(1200) + (sqrt(1200) - (sqrt(1200) - (sqrt(1200) + sqrt(1200)*3))) + sqrt(1200) - sqrt(1200)) + 1)*1)**2.\nAnswer: 4*sqrt(7) + 653\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/8 - 11*a**4\/8 - 3*a**3\/2.\nAnswer: a**3*(a - 12)*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/7 - 51102*o\/7 + 217617867\/7 = 0. What is o?\nAnswer: 8517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 8:46 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = -1. Let f(d) = -4*d. Give f(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 - -522?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2130 (base 4) to base 9\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459851827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1981*h**2 + 3*h - 12. Let d(v) = -7922*v**2 - 13*v + 54. What is -18*b(z) - 4*d(z)?\nAnswer: -3970*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:32 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246331 is divided by 849?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (1 - ((-9 - -3) + -1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1866, 3733, 5600, 7467?\nAnswer: 9334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = -9. Let b be (-2)\/m - 6\/(162\/(-141)). Let w be (b\/10)\/((-1)\/10*1). Put w, -3, -1, 0 in decreasing order.\nAnswer: 0, -1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587099?\nAnswer: 71, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1137, 2502, 4195, 6378, 9213?\n\"Answer: 27*p**3 + 2*p**2 + 1170*p - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 15*q + 26. Calculate t(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 53 = -n, -2*n + 4*r = 2*r + 106. Let w = 58 + n. Let g = 20 + -18. What is the greatest common divisor of w and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.15, -0.3, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*u + 159 - 156, -4*i - 8 = -u. What is the fourth smallest value in -0.3, 0.2, 553, i?\nAnswer: 553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11199 + 13889. What is the highest common divisor of w and 180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-10)\/(-5))\/88)\/(3\/3). Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7931528?\nAnswer: 2, 11, 193, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -2\/17 (c) -3\/2 (d) 30 (e) -2\/133 (f) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-1)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-15)\/25 - 6\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 18*r**2 - 3*r + 3. Let x = -109 - -113. Suppose 0 = 3*q - 5*g + 17, x*q + 2*g = 3*g. Calculate the remainder when 49 is divided by d(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/24 + (-160)\/(-24). Let f(r) = r - 1. Let l(x) = -2*x + 9. Let g(a) = 3*f(a) + l(a). Is g(h) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 702, 1409, 2110, 2805, 3494?\n\"Answer: -3*v**2 + 716*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 155.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235.2 + -190. Let f = -12.4 - c. What is f rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010835 rounded to four decimal places?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93344?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -4906*a + 4984*a - 62. Factor -2\/11*s**a - 20\/11 - 6\/11*s + 12\/11*s**2.\nAnswer: -2*(s - 5)*(s - 2)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22af (base 16) to base 5.\nAnswer: -241004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29237 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16402 = -4*o - 3*l + 4*l + 4*l - 16430, -4*o - 16 = -2*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 11*w + 3. Suppose -l + 2*i + 16 = -0*i, 4*l + 3*i - 31 = 0. Give m(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 + 2107300*c**2 - 48465135*c - 50572440 = 0. Calculate c.\nAnswer: -1, 24, 421437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.032 and -2.\nAnswer: -1.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1550 divided by -17.\nAnswer: -1550\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33709 or -0.032?\nAnswer: 33709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282*j**3 + 15*j + 244976.\nAnswer: 846*j**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 7. Calculate h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -484\/3 + 160. Which is the third smallest value? (a) n (b) -1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -37, -28, 35, 182, 443, 848, 1427?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 23\/5, 8\/59?\nAnswer: 8\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 35*w - 3641. Calculate y(97).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.42 + 0.18. Let w = 1.47 - r. Let u = w + 0.03. Which is the closest to -2\/7? (a) 1 (b) u (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from xvkuuxm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66115 is divided by 232.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -1, 2 in increasing order.\nAnswer: -1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/2)\/n)\/n)**(-44)\/(n*n**(-2\/3)*n**4))**(-47) assuming n is positive.\nAnswer: n**(-2491\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 2*j, 3 = -2*v + 3*j + 13. Let t(k) = -k + k + 0*k - k**v. Let b(f) = -6*f**2. What is b(t(l))?\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693342247.\nAnswer: 3, 897780749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/9 and -45\/224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4071 + -2610. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -2354?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -494461003179.3 + -0.03\nAnswer: -494461003179.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + 5 + sqrt(1088) + 3))**2 + (5*(sqrt(1088) + sqrt(1088) + -1) + sqrt(1088))**2 + (5 + 5 + (sqrt(1088) + 0)*6)**2.\nAnswer: 208*sqrt(17) + 172093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1633.\nAnswer: 4\/1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3172, -25067, -84498, -200233, -391040, -675687, -1072942, -1601573?\n\"Answer: -3128*c**3 + c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9652734714 - -0.3.\nAnswer: 9652734714.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -282 + 295. What is the remainder when 66 is divided by 34 - r\/(78\/36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 9755282*c + 23791381724881.\nAnswer: (c - 4877641)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.754 + 5.7570055. What is y rounded to 5 dps?\nAnswer: 0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 + 8*r**2 + 3*r - 7. Let i be m(-14). Suppose 2*w + 3*k - 20813 = 0, -i = -w - 5*k + 659. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/(sqrt(9) + 3*sqrt(1089)))\/(-3*sqrt(44)*-1))**2.\nAnswer: 1\/20808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*u**3 - u**3 - 3*u**2 - u**4 + u**3 to the form y + o*u**2 + x*u**4 + n*u + l*u**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 2*t + 215. Let a be t*(-2)\/10*(-16 + 11). Suppose 0 = -2*b + a*n - 2, 5*n - 1 = -b + 11. Solve -b + 12 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 0*f**2 - 1\/3*f**3 + 4\/7*f**7 + 0*f**4 + 0*f**5 + 3 + 0*f + 0*f**6. Find the third derivative of m(h) wrt h.\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by (7 + (-64)\/10)*10 - (-96 + 3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 14\/27, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*x - 52, -4465*m + 50 = -4460*m + 5*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29121 - -0.291192773. What is h rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/23)\/(g*g**(2\/15)))\/((g**9\/g)\/((((g\/g**(-9))\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-766\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*o - 2 + 15, 2*l + 18 = 5*o. Which is smaller: 211 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 593, 1975, 4671, 9119, 15757, 25023?\nAnswer: 37355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.6 and -2?\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15115 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3168 divided by 792\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 1330 + 1330.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/6, -0.4, -5, 4, -4.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/240 + p**4\/24 + p**3\/6 + 5*p**2\/2 - 5*p. Let q(x) be the first derivative of m(x). Suppose q(j) = 0. What is j?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -483 - 1556. Let s = -1631 + n. Let a = -102729\/28 - s. Find the common denominator of a and -17\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -7*i**4\/6 + 11*i**3\/6 - 4*i. Let u(t) = 5*t**2 - 4*t. Let j(h) = 4*q(h) + 11*u(h). Let n(p) = 2*p**2. What is j(n(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 1 - x)*(-x**3 - 5*x + 5*x) + (2*x**4 + 3*x - 3*x)*(-4 + 1 + 1))*(-3*x - 5*x + 2*x)*(-6 - 9 - 13).\nAnswer: -504*x**5 + 840*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 84579 + 884579. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z - z)*(-3*z + z**3 + 3*z)*(725 - 966 - 346 + 2*z).\nAnswer: -6*z**5 + 1761*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4900)\/(14350\/(-82))*(-60)\/(-21).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1 = -21. Suppose -3*u + 70 = -f*u. Let s = u + 64. Solve -9 + s = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369633198*r*w**2 - 795560*r - 216*w wrt w?\nAnswer: -739266396*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 841 + 3866. Let o = w + 408. Let x = -92 - o. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.37 + -4.03. Let v = -0.6 + a. What is the second biggest value in -3, v, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.94 times 1\nAnswer: 61.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 407*n + 33642. Determine k(-115).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1087104 and -49\/1087104.\nAnswer: 1087104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - f**2 - 2*f - 1. Let c = 27 - 24. Suppose -a + 22 = -5*y, 0 = 4*a + 3*y + 7 - c. Let r be g(a). Is r at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1367 - -1388) + (-25 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 = -6*b. Suppose -13 = -v - l - b, l + 31 = 4*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(17) + -1)**2.\nAnswer: -198 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, o: 2}. Give prob of sequence cccc.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2\/5 + 2919*a - 1232982\/5 = 0.\nAnswer: 86, 4779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566933 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 2157\nAnswer: 16\/2157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r**2 + 6*r**2 + 24*r**2)*(-11 - 57 - 72).\nAnswer: -2520*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 10) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4250 + 15?\nAnswer: -4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67374594437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12945 or 12942?\nAnswer: 12945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 13. Let l be a(9). Let y(v) = -11*v**2 + 5*v. Let s(t) = -6*t**2 + 3*t. Let j(i) = l*s(i) + 3*y(i). Let d(r) = 7*r. Give d(j(o)).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysso. What is prob of picking 1 s and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -2*i, 3*i + 26 = 5*q + 7*i. Suppose 77 = q*d + 21. What is the highest common divisor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 320 = x - 12*k, 5*k = 5*x - 1700. List the prime factors of x.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 41070434.\nAnswer: 41070433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010001 (base 3) in base 13?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - ((-2)\/(-6) - (-1132)\/(-12))?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.22 + -0.22. Put w, 1, -0.035 in decreasing order.\nAnswer: w, 1, -0.035","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 24*w = 7*w + 1258. What is the highest common factor of 4181 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + sqrt(171)*-2*-2))*-1)\/((sqrt(576)*2 - sqrt(576))*-5)*1.\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - -69)*((-6)\/4)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1484 and 6328.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 3*h**2 + 7*h - 6. What is the least common multiple of g(-5) and 246?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 4:26 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1) - (-1 - 1). Let m(p) = -2 + 9 + 1 - p + 1. What are the prime factors of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2053a266 + -3?\nAnswer: -2053a269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17932, -17922, -17898, -17854, -17784?\nAnswer: -17682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a87952 + 14?\nAnswer: -a87939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-8)*((-216)\/(-40) - 5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b4 (base 13) in base 14?\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1723 in 5, 155, -1\/9, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1274 + 1284. Calculate the remainder when (2 - -85)*1\/3 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 46*a**2 + 6*a + 198. Calculate the remainder when 225 is divided by x(-23).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10546 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 34*h**2 + 115*h - 1417. Calculate i(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 + 6*q**4 - 3*q**4 + (-1 + 1 - 3*q**4)*(5 - 4 - 3).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 3 - ((-5 - -6) + -5). Suppose -2*t - 5*n + 6 = x, 0 = 3*t + 2*t + n - 15. Solve v = -5 + t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*0 - (-6 + -123). Let b = -129 + x. Which is bigger: -1\/193 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 99 + 37*o**2)*(1 - 2*o**2 - 1) + (2*o + 2 - 2)*(-2*o**3 + o**3 - o**3).\nAnswer: -78*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418, 390, 362?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -0.4, -2\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Let h = -2074.4 + 2077.4. Which is the third smallest value? (a) 2 (b) -11 (c) n (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12372 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13503925 by 540157.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -36*b. Let k(c) = -174*c + 69 + 174*c - c**2 - 71. Determine k(j(f)).\nAnswer: -1296*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 77870 = 183810. Is (-3)\/(6\/b)*(-109)\/(-218) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = 0, 5*y - 6 = -5*z + 2*y. Let g = z + 1. Let o = 0.36 - 0.26. Which is the nearest to g? (a) 1 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2\/4 + 45321951*b\/4 + 33991470 = 0.\nAnswer: -3, 15107320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/118 or 1?\nAnswer: 15\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063788817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffiojjllojjjij. What is prob of sequence jjl?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2 + 2*w)*(-13 - 5 - 29) to f + h*w and give h.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.4\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/21)*(v**(3\/5)\/v*v)\/v)\/(v**(-1\/3)\/v**(-6)) assuming v is positive.\nAnswer: v**(-209\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(52)*1)\/(6*(sqrt(4) + -2*sqrt(4))))**2 + 1 + -5.\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 55809 = 47*g + 24*g. What is the greatest common factor of g and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + -2 + 1*(1 + sqrt(72)))*-1)**2.\nAnswer: 12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*f + 5*s - 25, -4*f + 2*s - 54 = -44 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**4\/5 - 2*r**3 - 27*r**2\/5 + 2*r = 0.\nAnswer: -2, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 38 = 18*k - 54*k - 4848 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 7*t - 5. Let k(j) = -j**2 + j. Let h(p) = -3*k(p) - q(p). Let a be h(-3). Solve 3*m - 5*o + 9 = 0, -3*o - a + 5 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -543561 - -543564. Solve -2\/15*b**g - 44\/15 - 6\/5*b + 8\/5*b**2 = 0.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15638 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66135 rounded to 3 decimal places?\nAnswer: 0.661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*q - 3, 2*n + 0*q = 4*q. Suppose -18*l + 266 = -4*l. Suppose h - l = n. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-4*4*(-2 + sqrt(2)) - (sqrt(24)\/(3*sqrt(12)) + 4)).\nAnswer: -294*sqrt(2) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -694, 1 in increasing order.\nAnswer: -694, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpmmpmdpqpdpdqmdp. Give prob of picking 1 p, 1 q, and 2 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2403 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 80 = 7*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h. Suppose -1 = -b - h*b. Which is smaller: -2\/39 or b?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 13, -5, 0 in decreasing order.\nAnswer: 19, 13, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099395153 - -293?\nAnswer: 1099395446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 0, 4\/3, 4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100243414 (base 5) to base 3.\nAnswer: 22002202212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.893 rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*2 + 4 + sqrt(52) + sqrt(52) + sqrt(156)\/sqrt(3) + -3.\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2797.8314 days?\nAnswer: 399.6902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 17*b + 25. Suppose -23*r = -22*r + 26. Let m(w) = -4*w - 6. What is r*m(z) - 6*l(z)?\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2. Let r(x) = -10*x**2 + 7*x. Let n(u) be the second derivative of -u**4\/4 + u**3\/3 - 2*u. Let z(y) = -14*n(y) + 4*r(y). Give z(k(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.7 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*q + 1022 = 324 - 501 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 587*m + 333. What is the hundreds digit of r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -170?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108, 4, -130, -300, -512, -772, -1086, -1460?\n\"Answer: -y**3 - 9*y**2 - 70*y + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + 19 + -18 - 15 - 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j = -28*j + 46*j - 1170 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-105)*1\/(-2) - (-4 + 14116\/3640)\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0422 + -0.042165. What is h rounded to six decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:55 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 9*f - 6. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 50220*a**2 + 96063600*a + 158982488000.\nAnswer: 5*(a - 5540)**2*(a + 1036)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-28)*344\/215. Let a be 0 - -1 - 21\/23. Which is greater: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**(-1\/15))**(-4)*(d**1)**39\/(d**5*d**1) assuming d is positive.\nAnswer: d**(496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:42 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 7. Let g be y(-11). Let d(w) = 2*w + 4. Let u(l) = 3*l + 3. Let v(r) = g*u(r) + 5*d(r). Does 15 divide v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22 + (-2 - 2) + 4. Let w = -13 - j. What is the smallest common multiple of (1\/2)\/(2\/16) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*325.81065.\nAnswer: -1303.2426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:21 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 74 = -2*q. Is 7 a factor of (q + 1)*1 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1011101000?\nAnswer: -1011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1580653 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322\/2095 - 56312471\/6285. Let r = d - -110183\/12. Let f = -221 + r. Put f, -4, -1 in descending order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-37)*o)\/o)\/(o\/(o*o**(5\/12)\/o))*(o*o**38)**(-42) assuming o is positive.\nAnswer: o**(-20107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 22 = 4*l, 10 + 1 = l - 5*v. Suppose 159 = 2*r - b, 3*r + 226 = l*r - 4*b. Suppose 0 = 5*n - 53 - r. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 553\/212 or 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 50 = 31. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + (-2 - -1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15567 is divided by 3113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198698896.\nAnswer: 2, 11, 71, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.9 - 41.84. Let c = 1.94 + i. Sort c, 3.5, 0.5 in increasing order.\nAnswer: 0.5, c, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*2*sqrt(1377) - sqrt(1377))**2 + 3 + 0) + 5.\nAnswer: -67471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 396*t**2 - 107*t**2 - 180*t**2 to the form g + w*t + h*t**2 and give h.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -8537.4.\nAnswer: 42687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/(-12) - (-1)\/4. Let k = d - -7. Suppose 0 = -3*z - k*a + 4 + 3, -3*z - 5 = 5*a. Is 3 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 246 - 244579.91.\nAnswer: -244333.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36210, 36217, 36224, 36231, 36238?\n\"Answer: 7*b + 36203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbm when three letters picked without replacement from {m: 1, b: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 144a2c45?\nAnswer: 144a2c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1355.695 - 38\nAnswer: -1393.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -634, 4, 13, 1 in ascending order.\nAnswer: -634, -3, -2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 72. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1542*q**2. Let m(h) = -50*h + 3 - 3 + 101*h - 49*h. What is m(y(d))?\nAnswer: 3084*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.05 (c) 0.4409859\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/36 + (-161)\/(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 2 - (5 + (5 - 313)). Let d = j + -181. What is the highest common divisor of d and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25060.68 + -25061. Which is the nearest to -3? (a) u (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452) + sqrt(1452) + (2*sqrt(1452) - sqrt(1452)) + sqrt(1452))\/((2*sqrt(36))\/sqrt(6)).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 495*z**2 + 0 - 9*z + 2 + 2 - 1 - 503*z**2.\nAnswer: -8*z**2 - 9*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -200. Is 179 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 116.2099 hours?\nAnswer: 6972.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 2:05 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4571, 1, -44, -6, 10 in ascending order.\nAnswer: -44, -6, 1, 10, 4571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/947 and -4\/3?\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100022 (base 4) in base 15?\nAnswer: -1abd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/6694 and 7\/60?\nAnswer: 200820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 18083*d**2 + 152234*d - 58000.\nAnswer: -(d - 8)*(d + 3625)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (6 + (-1 - 8) + 5 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1121296.\nAnswer: -2242592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(144) - -4*sqrt(19)*-2)*3.\nAnswer: -93*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5970575 to the nearest integer?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/y*y)\/(y\/(y\/(((y\/(y**(1\/26)*y*y)*y)\/y)\/y)*y*y)) assuming y is positive.\nAnswer: y**(-77\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041, -1032, -1011, -972, -909?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 3150 = -567. What is the remainder when m is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:52 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2 + (73 - 8). Let z = l + -65. Solve 5*m - z*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - -6*(sqrt(77) - (1*sqrt(77) + sqrt(77)))) + sqrt(77) - sqrt(77) - (sqrt(77) + -1*sqrt(77))*-1)\/(sqrt(2268)*1).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 542022909 to the power of 1\/2, to the nearest integer?\nAnswer: 23281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 + 14360*i**4 - 28726*i**3 + 14364*i**2.\nAnswer: 2*i**2*(i - 1)**2*(i + 7182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1015446 and 384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/160)\/((-4)\/30). Let n(g) be the first derivative of -8\/3*g**3 - 1 + 2*g**2 + q*g**4 + 0*g. Factor n(j).\nAnswer: j*(j - 2)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.159?\nAnswer: 0.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -879*k**2\/2 - 454*k - 744. What is the derivative of a(p) wrt p?\nAnswer: -879","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132521901?\nAnswer: 3, 37, 449, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -10 + 14)*(-1 - (1 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 13721\nAnswer: -9\/13721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0 (c) -5 (d) -348 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (9 - (6 + (-3 - 2))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0 - 4)*(-2 + 1 + 2)*(-1 + 2 + 3).\nAnswer: -8*i - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16518.9 + 16987.008. Let h = -468 + s. What is h rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -267, -374, -479, -582, -683?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.20999756 - 1.21. Round f to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1479, -5829, -13061, -23175, -36171, -52049?\nAnswer: -70809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23, -22, -19, -14, -7, 2?\n\"Answer: b**2 - 2*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (170*g - 365718 - 21*g + 62*g + 365716)*(1 + 8 + 5) as h*g + z and give h.\nAnswer: 2954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 42. What is the least common multiple of 18 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**3 - 4*s**2 + 2*s + 13. Let g(x) = -23*x**3 - 11*x**2 + 6*x + 37. What is -6*g(k) + 17*t(k)?\nAnswer: 2*k**3 - 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 5:48 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26748 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - -63 - 1*-7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 2*u + 2. Let b be i(-2). Suppose 3*f - 24 = b*x, 4*x + 44 = -0*f + 4*f. Let k = 0 - x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142335157 to the nearest integer?\nAnswer: 11930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -40, -52, -68, -88, -112?\n\"Answer: -2*o**2 - 2*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6791 at least -6797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125252856 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044406?\nAnswer: 2, 11, 29, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3982?\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 2*u**2 + 122*u + 11. What is b(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 0.6739322898374?\nAnswer: 0.3260677101626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 = -3*r + 2*w, -6*r + r + 2492 = -w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (8 + -2 + -8 - -7) - 29) + 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 134 = 6. Let d be (12\/(-10))\/((-21)\/n) + -134304. What is d rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 5 + 23 - (6 - (34 - 16))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 1, s: 1, l: 1, m: 3, h: 4}. Give prob of sequence ljm.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2190*j - 215 = -2147*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 2*u**2 - 2*u + 1. Let h be (2\/4)\/((-1)\/(-2)). Suppose 4*y = 3*y + 12. What is the smallest common multiple of a(h) and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 85, 145, 213, 289, 373, 465?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - j - 1. Let c(k) = 2118*k - 24 - 78*k**2 - 3*k**3 - 1980*k + 3. Let z(f) = -c(f) - 9*g(f). Factor z(o).\nAnswer: 3*(o - 1)*(o + 5)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18832, 19261, 19690, 20119, 20548, 20977?\n\"Answer: 429*m + 18403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5735.62 centuries?\nAnswer: 573.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7 and -10\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*a**2 - 94*a**2 + 481*a**2 - 93*a**2 - 97*a**2 - 101*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.4 + 1.7. Which is the second biggest value? (a) -1\/6 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7 + -0.7. Let y = q - 4.5. Let f be 0\/(-4) - (-1)\/2. Sort f, y, 2 in descending order.\nAnswer: 2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w + 2. Let i be (-2 + -2 - -8)\/2. Let u be x(i). Suppose -4*b + u*b = 0. Solve 4 = -2*h, 3*k + 2*h + b*h = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, m: 1, e: 9, f: 3, n: 2}. Give prob of picking 2 q, 1 e, and 1 m.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 2 + 2*g**2 + 4*g - 1\/2*g**3 - 1\/12*g**4. Let u(f) be the first derivative of b(f). Determine u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 + 1 + 6*b**2 - 7*b**3 + 13*b**3 - 7*b**3 + 2*b. Let q be p(-1). Solve 5*k - 11 = q*g + 5, -k - 5*g - 13 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*o + 19. Let w be (o - 1)\/((-12)\/(-20)). Sort 1, w, -2 in descending order.\nAnswer: 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u + 3*x + 110 = 0, x = 4*u - 81. Suppose -4 + u = 5*n. Solve -3*m - n = -6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.05291 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*r + 3. Solve r*s - 12 = -0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {q: 1, f: 1, m: 1, l: 1, c: 1, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -93*g**2. Let x(h) be the third derivative of 0*h**4 + 28*h**2 + 0*h**3 + 0 + 1\/30*h**5 + 0*h. Give d(x(i)).\nAnswer: -372*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 94\/7, 0, -0.05, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 9*u**2 + 7. Let m(q) = 5*q**3 + 20 + 1075*q**2 - 530*q**2 - 519*q**2 + q**3. Give 6*m(v) - 17*z(v).\nAnswer: 2*v**3 + 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w + 162 = -4*w. Sort 6, w, 12 in increasing order.\nAnswer: w, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i. Let z be j(2). Suppose -d + z = -10. Suppose 4*y + y - d = -b, -2*y + 8 = -2*b. Solve -4*h = 4*o - 24, -3*o + 5*o = y*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6614 + 11229. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 3. Let o be t(0). Suppose o*n = -n + 12. Suppose -n*r - 13 = -5*r + j, -11 = r + 3*j. Solve -r + 2 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 8. Let y be r(13). Let a be ((-5)\/y)\/((-4)\/(-4)). Let z(p) = 10*p**2 - p + 2. Calculate the remainder when z(a) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 16*l - 9*l. Suppose -l*y + 9 = -6. Suppose -y*r = -3*q - 15000012, -2*r + 5*q = -3691207 - 6308813. Round r to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -129152672 and 5?\nAnswer: 129152677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 7. Let r be (-2)\/(-6) + (-70)\/(-6) + -3. Let q(v) = -v - 3. Suppose -3*y + 4*u = 4, -8*u - 8 = -4*u. What is r*q(m) + y*l(m)?\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7025 - 1.5025. What is the nearest to 421.5 in j, -4, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2204.81 + 2205. Is -7 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**5\/4 - t**4\/12 - t**3\/6 + t**2\/2 - 5*t. What is the units digit of f(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11156613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -966 - -962. Let v be (-204)\/(-14) - (-24)\/56. Let g be (-50)\/v*(-3)\/(-2). Sort g, p, 1, -3.\nAnswer: g, p, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*m**3*x**3 + m**2*x**3 + 2*m*x + 4*x**3 wrt m?\nAnswer: 1194*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 5:33 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -260001?\nAnswer: 25ddd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.1, 26\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.083, -2, 2\/13, -65, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*g - 205. Let i(s) = -98*s + 28*s + g*s + 35*s. Determine i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 - h. What is v(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 57*-8450\nAnswer: -481650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -14*i + 1. Let v be d(-1). Solve v = 5*n - 5*w, -n - 5*w + 8 + 7 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -23*c + 6. Let q(a) = -24*a + 5. What is 3*b(z) - 4*q(z)?\nAnswer: 27*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -27.8. Let z = 8 - r. Let y = z - 0.200006. Round y to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 7*p = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*z + 49 = 67, 5*q + 2*z = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + 2*6\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11011341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1591.\nAnswer: -2\/1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 153355*i + 153691. Calculate t(-1).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 108 = -4*j. Let t = -34 - j. Let h = 21 + t. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4480065 and 0.026.\nAnswer: 4480065.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuhuhuuuuuhuuu. Give prob of picking 2 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 4*w + 20, -11 = 3*p - w + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + 2\/(-7). Let o = 18 + -17.6. Which is the closest to 0? (a) o (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from bsbtypst.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*j + 60*j + 83*j)*((2*j**2 - j**2 + j**2)*(0*j - j + 0*j) - 5*j**3 + 6*j**3 - 7*j**3).\nAnswer: 360*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - 14*c**2 - 16*c - 11. Let x(i) = -5*i**3 - 13*i**2 - 17*i - 12. Let m(u) = -7*n(u) + 6*x(u). Is m(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 571318 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 11. Let x be (-2)\/((-2)\/q - 1). Suppose -4 = y - x. Solve -o = -y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8*2 - (-3828)\/4400\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -166 - 59. What is the third derivative of 10*b**6 + 18*b**6 - 17 - 12 + 7*b**4 - f*b**4 + 9*b**2 - 11*b**2 wrt b?\nAnswer: 3360*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*m = 50, -4*m - 32 = -3*w - 0*m. Let p = 5 + w. Let n = -8 + p. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 977191 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74399 is divided by 5718?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v**3 + 723775*v**2\/4 - 2046284387*v\/2 - 127893481\/4.\nAnswer: -(v - 11309)**2*(32*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177173, 354429, 531685?\nAnswer: 708941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 72. Let z be (i\/(-8))\/((-6)\/4). What is the derivative of -1 + 3*j**z + 2 + 6 - 1 wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 2.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5134130702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/6 + (-1)\/6. Suppose 4*x - 3*x + 9 = 4*j, l = -x - 5*j - 9. Let y be (-489600016)\/(-72) + 2\/x. Round y to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88182 by -8.\nAnswer: 44091\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + 104. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173040 divided by -84\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 102136*o**3 + 51064*o**3 + 51048*o**3 + 4.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-10 - (-5 + 2) - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 6*q - 2*j + 222, 0 = -2*q + 2*j + 100. Suppose -15*s = -q*s + 744. Solve -4*h - s + 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 3*z - 10, 4*z - 2*z + 10 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 7. Let n be d(6). Let x(w) = w**3 + 5*w**2 - 7*w - 2. Let b be x(-6). Suppose -b*v = -1 - 3. What is the greatest common factor of v and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 2*z**2 + 9*z + 13. Let u(v) = -17*v**3 - 9*v**2 + 36*v + 53. Determine -9*l(g) + 2*u(g).\nAnswer: 2*g**3 - 9*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282 - 277. Solve 2*n = n + i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.894 + 0.89400823. Round k to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) - (sqrt(133) - (sqrt(133) + 1*sqrt(133)))))\/(sqrt(28)\/sqrt(4)*4).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*u = -23, u = 4 + 1. Suppose 0 = -3*v - d*v + 36. Suppose 0 = -5*x - 3*c + 710, -v*c - 119 = -x - 2*c. List the prime factors of x.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = -5 + 59. Suppose -2*k - 117 = -5*o + 79, -5*k = c*o - 99. What is the remainder when 67 is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 2*s**2 - 63*s + 6*s**2 - 11 + 59*s + 5*s**2 to the form l*s + p*s**2 + b and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4042219 millennia in decades?\nAnswer: 40.42219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y - 28. Let t be d(13). Let o = -95 - t. What is the second derivative of -8*i**5 - 18*i**5 - 6*i - o*i**5 wrt i?\nAnswer: -740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/11)*k**(4\/5)\/k*k**15*(k\/(k\/(k*k*k\/k**24)))\/k assuming k is positive.\nAnswer: k**(-401\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311210023 + 3?\nAnswer: 1311210032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-9)\/(-6)))\/((-223790)\/(-1946))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -1\/2*d**2 + 3 + 12*d. Let s be u(8). Solve 3 = -3*g + 3*k, -s*k = -3*g - 1 - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 5:36 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668189.\nAnswer: 29, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -964\/7 + 138. Factor 2\/7*s + f*s**2 + 0.\nAnswer: 2*s*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2 + d + 3 - 2*d. What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1511\/4 + 358. Let u be (-278 - -15)\/((-20)\/14). Let s = -759\/4 + u. Find the common denominator of g and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 31. Let x(j) be the second derivative of -1\/2*j**2 - 1\/48*j**4 + 2*j + 1\/6*j**u + 0. Factor x(c).\nAnswer: -(c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.02, 4, -0.042, -61, -2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (2 - 5) + 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z - 13*z + 5*z. Let s(h) = -h. Let g(r) be the second derivative of -r**4\/12 - 5*r**3\/6 + 4*r. Let l(c) = -g(c) + 5*s(c). Calculate q(l(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -2\/511, -4 in increasing order.\nAnswer: -4, -0.03, -2\/511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - b + b + 0*b - b + 0*b + (-4*b - b + 6*b)*(0 + 1 + 1))*(1800*b - 1800*b - 50*b**2) to o + j*b**3 + u*b + d*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -69607, 3, -5, 4, -3 in decreasing order.\nAnswer: 4, 3, -3, -5, -69607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1183, -5, -100, 207 in decreasing order.\nAnswer: 1183, 207, 2, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)\/z*z*z\/((z*z**(-2\/87)*z)\/z)*z assuming z is positive.\nAnswer: z**(-1303\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:31 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 205*l**4 + 108*l**4 + 106*l**4)*(l + 2*l + 0*l) - l**5 - 13*l**5 + 4*l**5.\nAnswer: 17*l**5 - 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:08 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from nkiicnninc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/((-240)\/(-144))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 169, 544, 1277, 2488, 4297, 6824?\nAnswer: 10189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:00 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18022*j + 1 - 18022*j - 85*j**2.\nAnswer: -85*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571.935 centuries in months?\nAnswer: 7886322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/5 + 6\/30. Let r be o + -4 + -1 + -20. Let g = r - -28. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -182, -1684, -5784, -13784, -26986, -46692?\n\"Answer: -217*m**3 + 3*m**2 + 8*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 33*w - 7. Let j be y(3). Suppose -52 - j = -8*r. What is the greatest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538364?\nAnswer: 2, 3, 17, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 5*z + 1. Let p(s) = -s**3 + 5*s - 2. Let w(h) = 4*p(h) + 5*x(h). What are the prime factors of w(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15704 and 35931960.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/19)\/(s**(-19)\/s*s)*s**2\/(s*(s*((s\/s**(-26)*s)\/s)\/s*s*s*s)\/s) assuming s is positive.\nAnswer: s**(-169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 9 + 7 + 2*u - 171*u**3 + 169*u**3 - 4*u**2 + 0*u as x + i*u**2 + o*u + s*u**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 1 + 1)*(-5*r + 3*r - r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 3321620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + f + 1. Let j be x(-1). Suppose 2 = 2*z - 2. Suppose z = -2*g, -4*h + 2*h = -3*g - 53. Solve -j*m = -r - h, m + 3*r = -2*m - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10048 and 3104.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*c - 76, -3*c - 2*b = 2*b - 44. Suppose 4*x - 20 = -3*f, -x - c = -5*x - 5*f. Suppose x*n - 8 = n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -4*c - u + 3*u, 4*c = 5*u + 105. Suppose 6*v = v - 3*r + 30, -2*r = v - 13. Solve 3*q - 3 = 5*s, 0 = v*s + 3*q + q + c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 30 = -10*n. Let t be -4 - (-3 + 12\/n). Let r = 0.2 - 0.3. Sort r, -3, t.\nAnswer: -3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 17*b**2 - 2*b - 11. Let q(u) = u**3 - u**2 - u - 1. Let x(s) = 3*q(s) - r(s). Let i be x(20). Is -16 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/24*(-30)\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -34\/339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-665)\/532 + (-31)\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (102\/(-14))\/(748\/(-5236)). What is the greatest common factor of 14025 and q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 53*j - 2. Calculate the remainder when 116 is divided by t(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 + 6*b + 9. Let r(w) be the second derivative of w**5\/10 - 5*w**4\/12 + 5*w**3\/6 + 4*w**2 - 4570*w. What is -5*a(s) + 6*r(s)?\nAnswer: 7*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1, 0.3, -7532, -3\/7, 8 in increasing order.\nAnswer: -7532, -1, -3\/7, -2\/7, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 11*b + 1 = -t, -3*t + 4*b = 1. What is the second biggest value in 2, -64, 4, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 + 3)*(-3 - 1 + 5) + 0 - 2 + 1)*(58*k - 335 + 335)*(2 + 0 - 1).\nAnswer: -174*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1029)\/(-1715))\/(9\/105*-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6773 (base 8) to base 6\nAnswer: -24323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -22*y + y**2 + 6*y + 11 - 6. Let v be f(15). Let x be -1*3 - (4 + v). What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.691 + 55.2.\nAnswer: 57.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -927410 to the nearest 10000.\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 89, 197, 347, 539, 773?\n\"Answer: 21*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:45 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16048145 - 0.2920541.\nAnswer: -16048145.2920541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/16)*((x**(-16)*x)\/x)\/x)\/((x\/x**(-1\/14))\/x**(-1\/19)))**(-2) assuming x is positive.\nAnswer: x**(38967\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133\/14 - 10)\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-308 + 311 - (1 - 4))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2391*a**2*g**2 + 43637*a**2 + 14*a*g**2 wrt g?\nAnswer: 4782*a**2*g + 28*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22832088 divided by 7610696?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.874 + 6.874. Which is greater: -1\/3908 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608132.9 weeks in hours?\nAnswer: 102166327.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-12))\/(6\/9). Let f be (-13)\/y + 0 - 3. Let x = f - 7. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/14 + -5\/56. Let d(t) be the second derivative of 0 - t + 0*t**4 - 1\/120*t**6 + v*t**2 + 1\/40*t**5 - 1\/12*t**3. What is j in d(j) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24694181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 0. Let a(u) = 30*u + 934. Let p be a(-29). Calculate the highest common divisor of p and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 2*o**5 + 2*o**3)*(-12 + 0 + 0).\nAnswer: -24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y + 5*s + 14, 4*s = -12. What is the closest to 0 in y, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2 - 98*h - 40. Calculate c(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 1. Let b(v) = -v - 5. Let z(r) = -r**3 + 4*r**2 - r. Let q be z(4). Let f be b(q). What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/4*3\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaqp when four letters picked without replacement from ddrrdroprapoqa?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z. Let h(p) = -10*p**2 - 5*p**2 - p**2 + 6*p**2 - 3*p**2. Calculate c(h(m)).\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/((-72)\/(-48)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 6*w)*(-8 - 3*w**2 + 8)*(1 - 5 + 3) + (-w + 4*w**2 + w)*(8*w + 21 - 21).\nAnswer: 38*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:14 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73964?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - x + 6*x - 4*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -10?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2589 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-1*-6 + sqrt(114))\/(6*(sqrt(18)\/sqrt(3) + sqrt(6))).\nAnswer: 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 37856*g\/5 + 179134592\/5.\nAnswer: 2*(g - 9464)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.3018889 rounded to one decimal place?\nAnswer: -269.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*(-4)\/8)\/(2 - 1). Suppose s = 14 - 4. Solve 5*l - 5*d + s = q, d - 3 = 4*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 25\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -79. Suppose -4*i - g = -4*k, -3*k - 5*i + 72 = k. Suppose 0*t - t = -14. Solve 3*v - t = -o, -3*o - 4*v + 14 = -k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 7. Let h(f) = 4*f**3 + 3*f**2 + 7. Let u(k) = 3*k**3 + 2*k**2 + 5. Determine o*u(r) + 5*h(r).\nAnswer: -r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 45. What is the closest to d in -1\/10, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1343, -5692, -12939, -23084?\n\"Answer: -1449*o**2 - 2*o + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o + 0*o)*(o**2 + 3*o**2 - 2*o**2) + (-6*o + 6*o - 2*o**2)*(-3*o - 4*o + 4*o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900742442?\nAnswer: 2, 3, 383, 827129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 8) to base 2\nAnswer: 1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 7*y**5\/60 + y**4\/6 - y**3\/2 - 27*y**2. Let h be a(5). What is the greatest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = d. Let x = -0.02 - -0.42. Let o = -1\/52 - 101\/156. Which is the third smallest value? (a) o (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1296, 2595, 3896, 5199, 6504, 7811, 9120?\nAnswer: 10431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 80. Does 5 divide (-6)\/18 - v\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.075323 and -22.87?\nAnswer: 25.945323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1185525 and -47\/1401075?\nAnswer: 15411825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 2*r + 11. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 4013.4471145.\nAnswer: 3978.4471145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/19? (a) -12 (b) 5 (c) -5 (d) -1\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1370 - -1389) + (0 - -28)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-21) assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + q**3 - 2)*(3 - 4 + 11) - q**3 + 4 - 4.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 7 - 3)*(f**3 + f - f)*(f + 0*f + f) + 7*f - 7*f + 11*f**4 as z + j*f**3 + s*f**2 + i*f + h*f**4 and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/2 + 5*f**2 + 17*f\/2 + 4 = 0 for f.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -3*q + 80*n - 84*n, -418 = -4*q - 2*n. Solve 80 = 6*r + q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*r - 548*r - 6 + 6.\nAnswer: -35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*s**2 - 5260 - s**3 - 2*s**4 + 5474 - 11*s**2 to the form h + z*s**3 + n*s**2 + l*s**4 + x*s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2544 - -1704. Let h be (-28476)\/n - 2\/(-20). Solve 5*g - 3*o = -6*o - h, -o = -g - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -765*z. Let p(a) = -17*a. Let x(g) = 136*p(g) - 3*u(g). Let j(s) = 16*s + 15*s + 9*s + 7*s - 53*s. What is x(j(m))?\nAnswer: 102*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -859, -1276, -1697, -2116, -2527, -2924, -3301?\nAnswer: -3652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 4*m**2 - 7*m - 6. Let d be v(-5). Suppose -d*u = 0, -3*c + 4*c + 1450 = -2*u. What is c rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -3, -0.5, -2\/3, 6060, 2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 l when three letters picked without replacement from mlswulwlluwwllml?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*c**2*t**3 + 2*c**2 + 2*c*t**3 + 61*t**3 wrt c.\nAnswer: 22*c*t**3 + 4*c + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 1. Let i(d) = d + 1. Let a(m) = 6*i(m) - 2*q(m). What is a(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 6693*d + 53499. What is x(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -43*f + 15*f + 11 + 16*f + 13*f - 12. Let z(d) = -12*d + 10. Give -60*l(r) - 6*z(r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1360 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqj when three letters picked without replacement from {d: 2, j: 2, h: 1, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*h + 17*h + 4643*h**3 + 38*h**2 - 1714*h**3 + 5*h + 1750*h**3 wrt h.\nAnswer: 28074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5 = 5*v, 532*v = -4*o + 526*v - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 68 = -o - 2*o, 72 = 3*k + 3*o. Suppose 2*h + 3*h - k = 0. Suppose n = -f + 66, 5*n - h*f - 219 = 129. Is n a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 164\/20 + (-2)\/10. Solve j = -j - z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/(-21))\/(-16))\/(-1 + (-87)\/(-90)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 134127.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1760, 1708, 1638, 1550?\n\"Answer: -9*m**2 - 25*m + 1794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81698663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -628109.5734 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6546925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/2 - (-2)\/(-4). Let c(w) = -15*w**2 + 44*w**2 - 3*w - 4 - 28*w**2. What is the remainder when c(d) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14595464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -79, 2, 5 in descending order.\nAnswer: 5, 2, -5, -11, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102833304 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*a - 13*o + 5208, 3*a - 5*o = 7784. What are the prime factors of a?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 70558*c - 141197. Give q(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 - 17*y**3\/6 + 21*y**2\/2 + 9*y. Let p be b(16). Solve 4*x + 18 = 5*g, 4*x - 2*g = p*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j + 1. Let t be g(-1). Let a(h) = -1. Let u(v) = -6*v**2 - 5. Let o(r) = t*a(r) - u(r). What is the units digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10950 and 12410?\nAnswer: 186150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(925*c - 6 + 6 + 67*c)*(-c + 3*c + 3*c) to the form r*c + o + k*c**2 and give k.\nAnswer: -4960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/185 + 38\/555. Put 262, u, 0.1 in decreasing order.\nAnswer: 262, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 9529.429ug to milligrams.\nAnswer: 9.529429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6040b4 - 10?\nAnswer: -6040c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -3 - (-2264)\/(-32). Let w = 9493\/140 + x. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**2\/9 - 44*z\/3 + 104536\/9 = 0?\nAnswer: -179, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -148690, -148680, -148664, -148642, -148614?\n\"Answer: 3*j**2 + j - 148694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*f + 151 - 73 - 76)*(114 - 66 - 56 + (-1 + 5 - 2)*(5 - 3 - 3))*(3*f - 2*f + 2*f + (0 + 0 - 2*f)*(-6 + 2 + 2)).\nAnswer: -4970*f**2 - 140*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/306)\/((-4)\/(-6)). Let g be 11\/5 - (-4)\/(-2 - 18). Put t, -2, g, 3 in ascending order.\nAnswer: -2, t, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -57.9. Let x be ((-16)\/(-88))\/(0 + 22). Let n = x - 489\/605. What is the nearest to t in -0.07, n, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6697415 times 0.5?\nAnswer: -3348707.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*a - 191*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/66 - (-286)\/12. Let u(y) = -26*y - 4. Let v be u(-4). Suppose 2*c + k = -4*s + v, -4*s + c + 82 = 0. Solve -s = -4*j - 0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, p: 2, z: 1, t: 2, y: 1}. Give prob of sequence gjz.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwqs when four letters picked without replacement from wfwxxxqwwsxxxsx?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 + 275.78. Let u = 0.42 + s. What is the smallest value in 57, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 13. Let q = 5 - d. Which is smaller: -2\/7 or q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 3*y - 3. Let f be z(1). Let v be 0\/f - (-2 + (-21)\/(-12)). Factor 0 - v*k**2 + 1\/2*k.\nAnswer: -k*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2596 divided by -1537\nAnswer: 2596\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23765 + -356333\/15. Let b = i + -28\/3. Find the common denominator of b and (3576\/(-64))\/(9\/2 + 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224635039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492271?\nAnswer: 13, 19, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000100289 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 36. Factor -75*v**2 - 25*v**4 - 5 + 5*v**4 - 15*v - 20*v - 65*v**y.\nAnswer: -5*(v + 1)**3*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.707577109 + -2.87557722. Let t = 79.832 + -80. Let b = l - t. What is b rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1882) + (-21)\/(-7)*1. What is the greatest common divisor of p and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4 - 86*r**3 - 444*r**2 = 0.\nAnswer: -37, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**4 + 326*s**3 - 2131*s**2 + 370469147*s.\nAnswer: -72*s**2 + 1956*s - 4262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -105, -1257, -4509, -10911, -21513, -37365, -59517, -89019?\n\"Answer: -175*s**3 + 73*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 19681 + 14463 = 0. List the prime factors of l.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(1584) - sqrt(99)\/sqrt(36))**2 - (sqrt(110)\/(sqrt(10) - sqrt(160)) + sqrt(11) + sqrt(1584) + 1)).\nAnswer: 31*sqrt(11)\/3 + 5827\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - 3*sqrt(30)\/sqrt(2))\/(sqrt(21)\/sqrt(175)))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1\/12)))\/i*i**(-20)\/i)**37 assuming i is positive.\nAnswer: i**(-9731\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.99. Sort l, -2\/5, 3\/4 in increasing order.\nAnswer: -2\/5, l, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730 is divided by 1722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-70))\/((-6)\/(-4) - 3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let d(c) = 22*c**2 - 10*c. Determine 2*d(n) - 36*q(n).\nAnswer: 8*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 6, l: 1, r: 4, m: 4, j: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1483249*d. Let k(f) = -2*f. What is a(k(o))?\nAnswer: -2966498*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 612*t - 46274 = -616*t, -3*f + 69435 = -2*t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 5*y + 6. Let f be q(-5). Let o = 19 + f. Solve -3*n = -3*l - 16 - 14, o = 5*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 2, z: 3, k: 2, y: 8}. What is prob of picking 1 y, 1 s, and 1 x?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 3318*7\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208416925639 take away 1.24?\nAnswer: -1208416925640.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 1001638*c**3 - 248363*c**3 + 3*c + 1 - 4*c + 1. Let a be r(-2). What is a rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6130910137.0175959008 + -9210123.9824179992. Let s = v - -6140119968. Let d = s + 293. What is d rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 - 2 = 0. Suppose 3*z = -0*n + 5*n + 255, 2*n + 88 = a*z. Find the common denominator of -37\/7 and 12\/n*-51*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -133*l**2 + 14*l + 4. Let u be 6\/(-8) + 1340\/80. Suppose 18*d = u*d + 12. Let x be v(d). Round x to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 22*d**5 - d**4 + 3*d**2 + 2*d + 654. Find the second derivative of o(a) wrt a.\nAnswer: 1320*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -271?\nAnswer: 35\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 32. Let n(k) = -k**3 - 8*k**2 - 7*k + 3. Let m be n(a). What is the highest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 + w + 1. Let f be 4*1*(-7)\/14. Let k be o(f). Suppose k*d = -2555 - 745. Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let q(b) = -2. Let z(d) = q(d) - v(d). Let s be z(5). Suppose -3*l = -5*r + 6, 0*l = 4*r + s*l + 4. Let y(p) = p + 10. Determine y(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:50 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 18 = -4*a + 5*n, -5*n = 4*a - 23. Let t(g) be the second derivative of g**5\/20 - 5*g**4\/12 - g**3 + 9*g**2\/2 + g. Is t(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8696960 and -73\/1041400.\nAnswer: 1782876800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z + 3 = 3. Solve -5*a - 10 = -5*l, z = 5*l + 3*a - 8 - 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/4 - 4\/16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m. Let o(g) = -15*g + 25. Give o(v(u)).\nAnswer: -75*u + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/5 - 5956*g**2\/5 - 14208*g - 212688\/5.\nAnswer: -4*(g + 6)**2*(g + 1477)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 11*x**2 + 25*x + 19. Let d be 4\/14 + (-672)\/(-49) - 1. Let a be f(d). Solve -5*z + 4*g - 8 = 0, 3*g = -4*z - z + a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693948.3 millennia in years?\nAnswer: 693948300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-240)\/((-12)\/4 + 6 + -5). Calculate the highest common divisor of 195 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*n - 2*n + 4*n)*(n + n + 0*n) + 0*n**2 + n**2 - 2*n**2)*(45 + 39 - 12)*(4 + 0 - 3).\nAnswer: -504*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 13 + 0)*(3*m + 6*m - 10*m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 2135, 7378, 17641, 34598?\nAnswer: 59923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaalaalaaa. Give prob of sequence aaa.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, -98, -2\/11, 746, 0?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**4\/(d**2)**42 assuming d is positive.\nAnswer: d**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800 divided by 34?\nAnswer: 900\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -200001122210 (base 3) in base 15?\nAnswer: -70503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*t**2 + 876 + 2*t**3 + 171*t + 478*t + 543 - 841 - 3*t = 0. Calculate t.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/212*80\/45)\/(14\/(-3339)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/2)*g*g*g**(-7)*((g**(-1\/2)\/g)\/g)\/(g**(-4)\/g) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41424661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*88158\nAnswer: 264474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*a + 62859 = 62853, 4*o - 4*a + 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3\/4*g + 9\/4*g**3 + 0 + 3\/4*g**4 + 9\/4*g**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 30?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*l**2 - 12291*l + 12291*l to b + z*l**2 + a*l and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1119, -1109, -1093, -1071?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 + 11*g**2 - 8*g - 5. Let o(u) = -2*u**3 + 7*u**2 - 5*u - 3. Let d be (-2)\/32 + 645\/80. Give d*o(s) - 5*w(s).\nAnswer: -s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:49 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 k when four letters picked without replacement from kgzvkkkvvkzkz.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 2*l - 8, -2*u + 2 = -4*l. Let q(s) = -s**2 + 5*s + 9. Let g be q(u). Sort -4, -2, g in decreasing order.\nAnswer: -2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 7*k + 6*k)*(3 + 2*k**2 - 3).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -4\/35*c**7 + 0 + 10*c**2 + 0*c**6 - 1\/8*c**4 + 1\/30*c**5 - 2\/3*c**3 + 0*c. Find the second derivative of l(z) wrt z.\nAnswer: -288*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -73*o - 6933. Calculate j(-91).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26111567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/9 + (-1)\/3. Suppose 2*s - g*s - 66 = 0. Let k = -14 - s. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 5*w + 34. Let v(d) = -2*d**2. Determine b(v(h)).\nAnswer: 4*h**4 + 10*h**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2001 and -70\/177?\nAnswer: 118059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12 + 2*a**2 + a**3 + 7*a**2 + a + 3*a**2 + 20*a. Let n be x(-10). Solve -5*p + g + 0*g = 10, -3*p = n*g - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 27*p**2 + 57*p - 10. Calculate c(29).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3. Suppose 2*r = 3*r - 1. Let x(t) = 552*t - 1106*t - r + 555*t. Suppose 0*h = -4*h - 2*u + 4, 2*h = 4*u + 12. Determine h*x(p) + g(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*i + 4)*(-9652 + 16640 + 15541 + 9790 + 19476) to z + k*i and give k.\nAnswer: 103590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 770 + -9121\/12. Let r = -1\/1209 - 15179\/806. Find the common denominator of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -2, -44, -134, -290, -530?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1854735167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60739743661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-98)\/(-770) + (-6)\/10?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 470006310*k**2*y**3 + 3*k*y**3 + 68*k*y**2 + 19270*k + 6*y**3 + 2*y**2 + 2 wrt k.\nAnswer: 940012620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 53*y + 45. Let v be i(7). Let a(j) = -j**2 + 8*j - 3. Let r be a(4). What is the greatest common factor of r and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 202795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = -0. Suppose 4*p - 3*p = -2. Put x, 2, p in descending order.\nAnswer: x, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t*((t*t**20)\/t)\/t*((t**26*t)\/t)\/t**(1\/21) assuming t is positive.\nAnswer: t**(965\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 24 = 5*b. Let r = 34 + -29. Solve -r = s - b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 24. Suppose 6 = r + g, -g = -4*r - 0*g + z. Suppose 0*m = -4*m + r, -3*k = -4*m - 67. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 14*h + h**3 + 3*h + 51 + 7*h + 33*h**2. Calculate the lowest common multiple of 60 and s(-33).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1234717 and 19194237.\nAnswer: 211136607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 0 + 447\/2 - 2\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 198?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:09 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 7. Suppose 0 = 4*v - 23 + 7. Suppose 8 = -2*n, -4*x + v*n + 63 = -33. Calculate the remainder when x is divided by p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9347 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: Solve 297*u + 15390 = -193*u + 148*u for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -661\/4 - -166. Let h = 663\/5 + -133. What is the smallest value in h, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73116 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -12. What is the units digit of (-102)\/4*o\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from xnwffwxde?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5.09 (b) -0.3 (c) 0.3 (d) -36 (e) -0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 115 = -4*q, -1 = -5*g - q + 99. Let m = g + 1. Solve 4*y - 8 + m = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 15*k**2\/2 - 6*k - 2. Let l be c(2). Suppose 1 = 5*j - 179. What is the highest common factor of l and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 4 - 4)*((0*y - y + 2*y)*(-5*y - y + 4*y) + 111*y**2 - 99*y**2 + 70*y**2).\nAnswer: 80*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*749.\nAnswer: -67.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918983020 to the power of 1\/4, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 w when four letters picked without replacement from wwwwwwattawwwawa?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 33, 72, 147, 270, 453, 708, 1047?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 10*l**2 - 8*l + 13. Let d be x(-9). Let b be (d*-3)\/(9\/(-6)). Let u be 1\/(99\/24 + -4). Calculate the highest common factor of b and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -326*s - 30. Let r be t(-3). Suppose -204 = 8*z - r. Is z less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -707, -736, -765, -794, -823, -852?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 6. Let k = -15 + 15. Let w be n(k). Solve w = -4*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w**2 + 2*w - 12. Let j be l(-4). Let k = j - -300. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 327*p - 2. Let t(v) = -3*v. What is t(w(g))?\nAnswer: -981*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -733 + 1258. Let y(z) = -5258*z + 52611. Calculate the remainder when s is divided by y(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-118)\/(-472) - 1\/(-12)) + 22\/(-30). Which is the closest to 11? (a) n (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383196056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/207 - (1 - 140944\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.1488 + -24.247. Round a to two dps.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**2 - 3*m - 19. Let l(g) = 7*g**2 + 4*g + 19. Let h(s) = 4*i(s) + 5*l(s). Determine h(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*f + 17 = 0, -2*r + 6 = -2*f - 2. Let j = r + 61. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 3443818 = 12810182. Round h to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 43*m - 2790. What is g(-38)?\nAnswer: 1732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - q - 8 - 10 = 0, -2*q + 19 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 14*u + 58. Let k be q(-10). Solve 4 = k*i - 14*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/2665 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.2208 centimeters to nanometers.\nAnswer: 5822208000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4847341 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 84 = 12*y. Suppose -954 = y*s - 22968. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*q**6 - 53*q - 77*q**2 - 246*q**6 + 48*q**4 + 53*q wrt q.\nAnswer: -120*q**3 + 1152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 0, 0.2, -1\/120?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1042 + 0.7283. Round i to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51218 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545 - 1.18.\nAnswer: -546.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 14. Let y be j(-8). What is the derivative of 36*d**y - 28 - 33 - 5*d**2 + 4 wrt d?\nAnswer: 62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -25) + -1 + 12.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.1582.\nAnswer: 0.03164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -15. Suppose -x = y - 12. Let q be (-46)\/(-42) - (y + -9). Which is the third smallest value? (a) -3 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 557 and 69987607.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248153 is divided by 354?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.708 + -0.172. Round k to 0 dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 17 + 5 + (-670 - -733)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -263*a**2 + 2*a. Let g(q) = -79774*q. What is l(g(d))?\nAnswer: -1673703352988*d**2 - 159548*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**6\/120 - g**5\/120 - 101*g**3\/6 - 39*g. Let c(b) be the second derivative of h(b). What is c(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -87 (b) 4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 612 + 882 = 0. Calculate the highest common factor of 250 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from unenbbecubbe.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 + 6.6. Which is smaller: -13 or x?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5 + 2*b**3 + 1381*b**2 - 107170*b?\nAnswer: 60*b**3 + 12*b + 2762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**7)\/c)**22 assuming c is positive.\nAnswer: c**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*6 - (sqrt(2178) - 1*sqrt(2178)))\/(sqrt(36)\/(2*sqrt(726))))**2.\nAnswer: 836352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**2 + 8*o - 1. Let t be h(8). Let v = t + 38. Let q = -220 - v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1108, 2221, 3328, 4429, 5524, 6613?\nAnswer: 7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 123*u**2 - 13*u - 195. Let w be l(-5). Calculate the greatest common factor of 465 and w.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 0*t**2 - 3 + 13*t - 8*t + 4. Let j(h) = h**3 + 11*h**2 + 18*h - 2. Let w be j(-9). Determine a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**3\/3 - h**2 + 4*h + 20. Calculate r(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020200 (base 3) to base 2.\nAnswer: 100100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-32 + (57 - 25))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366577 = 127*l - 4*g - 368990, -57 = -3*l - 4*g for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 6*s + 12. Let i be j(-4). Suppose i*y - 8 = 40. Suppose -3*u - h - 16 = -0*u, 7 = -2*u + 3*h. Put y, 2, u in decreasing order.\nAnswer: y, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -3 - -3 - (1062 - 1132).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 12153688*z\/3 - 36928033000336\/3.\nAnswer: -(z + 6076844)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcckmnmmmn. What is prob of sequence ckgc?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Let z(u) = -3*u - 8. Give 5*r(j) - z(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -78, -3, 3, 3.4 in ascending order.\nAnswer: -78, -3, -3\/8, 3, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -1342?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 + 2*d**2 - d**3 - 6 - 2 + 4 to i + t*d**3 + p*d**2 + m*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*32\/18*-24. Let z = w - 1148\/9. Determine u so that -2\/9 - 2\/9*u**2 + z*u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12849, -25666, -38453, -51210, -63937?\n\"Answer: 15*n**2 - 12862*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -1\/30*m**5 + 0 + 0*m**3 + 1\/6*m**4 + 2*m**2 + 0*m. Find the second derivative of t(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*t - 6 + 18*t + 31*t to o + q*t and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 448 = 26*n - 7*n. Solve 3*h = 4*c - n - 7, 0 = 2*c - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 416. Let o(u) = -2*u**2. What is q(o(h))?\nAnswer: 4*h**2 - 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgm when three letters picked without replacement from gamxxgxaxaxpxgawpgxg?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538240 divided by 4640.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -2 + -1)*-2. What is the greatest common divisor of 32 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5531875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 5, -36 in ascending order.\nAnswer: -36, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 + 1850*w**4 - w**3 + 8*w**2 + 2*w + 55.\nAnswer: 120*w**2 + 44400*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 + g**2 - 3*g + 5. Let w(s) = -s**2 + 10*s - 6. Let m be w(9). Let a(d) = d**2 + 1 - 13*d + 12*d + 0*d**3 - d**m. Calculate 3*a(k) - j(k).\nAnswer: -k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 823, 3199, 7157, 12697, 19819, 28523?\n\"Answer: 791*t**2 + 3*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:44 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -15 - (-6)\/3. Suppose r*t - 24 = 13*t. Let m(l) = 1 - 3571*l + 1785*l - l**3 + 5*l**2 + 1790*l. Determine m(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/105 + 11*c**4\/42 - 8*c**3\/7 + 22*c**2. Solve j(g) = 0 for g.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104737, 419004, 942781, 1676068?\nAnswer: 2618865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 464*j**3 + 468*j**2.\nAnswer: -4*j**2*(j - 1)*(j + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 108 = -6*r. Is 12\/9 + 140\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56646, 113294, 169942, 226590?\n\"Answer: 56648*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, -3, -2 in ascending order.\nAnswer: -3, -2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2480 = -118*t - 234. Let r(g) = -3*g - 76. Determine r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v + 5*c + 1, 4*v - 36 = 4*c. Let t = 26 + 5. Let w = t - v. Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100101011011 (base 2) to base 14.\nAnswer: 13415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -3 (b) -28 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + -2 - ((-12)\/54 - (-421)\/(-9)) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*f = -507*f + 2656. Factor 80\/7*b**2 - 2\/7*b**5 + 20\/7*b**f - 50\/7*b - 60\/7*b**3 + 12\/7.\nAnswer: -2*(b - 6)*(b - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/35 (b) 5\/3 (c) 9 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-12 - -5)) + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/f**(-6)))*f*f)\/f)\/(f*f*f**6))\/((f*f*f**(-1\/16))\/((f**(-1\/2)*f)\/f)) assuming f is positive.\nAnswer: f**(-39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-8 + (12 - -2) - -17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0 + 0*c + 2)*(6*c + 4 - 4).\nAnswer: -6*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756*a + 740*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9 = 11. What is the remainder when 14 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750.7222*0.01.\nAnswer: -7.507222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 + 2*m + 1. Let p be g(3). Let z = -3.75406 + 3.35406. Which is the biggest value? (a) z (b) 16 (c) -1\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, z: 5}. Give prob of picking 1 s and 1 z.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51251 is divided by 50927.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Let s(r) = -r**2 - 20*r + 8. Let b be s(-20). Solve -4*y - 2*v = 14, -b = x*y + 5*v + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3025 - 2320. Calculate the greatest common divisor of k and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -38 - (-4 + (-10)\/(-5)). Let q be (-6222)\/(-14) + 3 - n\/63. Calculate the greatest common divisor of 64 and q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2506434 and -80\/33?\nAnswer: 27570774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14337 divided by 86.\nAnswer: -14337\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/1*(-4160)\/65. Let w be ((-12)\/14)\/(s\/112). Let d(h) = -12*h - 5. Let j(i) = -6*i - 3. What is w*d(m) - 5*j(m)?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.827 + 0.173. Let g = 9 - 13. Let t be (-2 - -1)*(-5)\/1. What is the closest to t in -1, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - -3252244?\nAnswer: 3252211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/24 + f**3\/6 + f**2. Let j(w) = 20*w + 8. Let x(d) = j(d) - 12*u(d). Calculate the remainder when x(3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-1\/19)*r)*r**(7\/8)*(r*r*r*r*r**(2\/9)*r)\/r*r**(-1\/2) assuming r is positive.\nAnswer: r**(6361\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -390\/7? (a) 12\/11 (b) -4 (c) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10439031.01 rounded to the nearest one hundred thousand?\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/120 - b**3\/3 + b. Let p(x) be the second derivative of l(x). Let c(m) = m**2. Calculate c(p(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/27586 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 279 - 194. Let d = -20 - b. Put 5, 0, d in ascending order.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7152332501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 65934239*n**2\/3 - 263736959*n\/6 - 21978080.\nAnswer: (n - 131868480)*(n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -3 - 32\/(-12)*3. Suppose -4*h = -x - 1052, n*x = 2*h - 0*x - 508. Does 49 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130549965 or -130549957?\nAnswer: -130549965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/2, -12, 16, -40?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 3)*(2*p**5 + p**3 - p**3 + 4*p**5 - 5*p**5 + 3*p**5 + (-p**5 + 4*p**5 - 2*p**5)*(-5 + 4 + 2)).\nAnswer: 35*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + 9 + -19 - -18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153298.9806 - 153283. Let w = i - 16. What is w rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 5*t + 6. What is the lowest common multiple of c(-4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -439 and -157494741385.\nAnswer: -157494741824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/7 + 155032*h**2\/7 - 1501872452*h\/7 - 6009970576\/7.\nAnswer: -4*(h - 19381)**2*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166910 or -2837466\/17?\nAnswer: -2837466\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -54. Let q = 9.1 - -1.9. What is the third smallest value in -5, q, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000066991 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5 - 48*c**4 + 18*c**3 + 372*c**2 + 483*c + 180 = 0.\nAnswer: -1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6501, -5945, -5389, -4833, -4277?\nAnswer: -3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, 12, 528, 11, -1 in decreasing order.\nAnswer: 528, 12, 11, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403709621 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*2\/18*6. Let k = 2 - o. Let x(s) = -3*s**2 + 4*s + 6. Let g be x(3). Put g, k, -1 in descending order.\nAnswer: k, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5678 (base 11) to base 5.\nAnswer: 214331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 479 - 4307\/9. Which is the closest to 1? (a) 5 (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - r + 4*r + (-2 + 1 - 1)*(-3*r + 2*r + 2*r) - 2*r + 2*r - 2*r + 6 - 6 + 2*r + (-4 + 4 + 1)*(0 + 0 - r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**4 - i**2 + 1. Let n(p) = -30*p**4 - 2*p**2 + 873*p + 6. Let f(h) = -6*m(h) + n(h). Find the second derivative of f(x) wrt x.\nAnswer: -288*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441595 divided by 77.\nAnswer: -5735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -199*a + 5008. Calculate the remainder when g(-131) is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42073922.\nAnswer: 2, 11, 1912451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 233066 at least 233063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {a: 10, i: 6, z: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 29*f - 22*f. Let u be (8\/5)\/((-9)\/((-180)\/8)). Sort -4, f, u, 1 in descending order.\nAnswer: u, 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1407, -7, 5, 1 in descending order.\nAnswer: 1407, 5, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)\/sqrt(144))\/(sqrt(100)\/sqrt(90)))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 45\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25472?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103860 + -210230.517.\nAnswer: -314090.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3993791*u**3 - 5202760*u**2.\nAnswer: 23962746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*2\/(-6)*(-1)\/(-2). Let f be (4 + -6 - -1) + k. Let i be 4\/((-1)\/(-4)*4). Solve -17 = -5*g - w, g + f*g + 8 = -i*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 114.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:04 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*p - 22 = 0, 37 = 3*z + p - 6*p. Let q = z - 5. Suppose -q*n = 0, 0*u = -u - 3*n + 2. Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.3 (b) 25 (c) -2.854 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 640 = -56*c + 58 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**3\/3 + 139. Let l(p) be the first derivative of -15*p**3 - 1. Give l(b(q)).\nAnswer: -180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -352, -1193, -2828, -5521, -9536, -15137?\nAnswer: -22588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(1\/3)))**(16\/7)*(f*f*f**(-3\/2)*f)**(-41) assuming f is positive.\nAnswer: f**(-2647\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8353, 0.2, -1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61474 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z - 1. Let s(i) = 5*i**2 - i**2 + 1 - 8*i - 4*i**2 - i**2. Let t be s(-8). Let u be j(t). Round u to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(175) + 1 + sqrt(175))**2 + (sqrt(175) + (6*((sqrt(175) - (sqrt(175) + 3 + sqrt(175))) + sqrt(175)) - sqrt(175) - sqrt(175)))**2 + -4.\nAnswer: 170*sqrt(7) + 671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 - -83. Let p = w + 106. Solve 5*t + p = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0 - 1\/10*z**5 + 8\/7*z**7 - 31\/2*z**3 + 0*z**6 + 0*z**2 + 0*z**4 + 88*z. Find the second derivative of x(k) wrt k.\nAnswer: 960*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + g - 8 = -1, 15 = 5*c - 5*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 0 (c) -170 (d) -37\/8 (e) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 28*y**2 - 8*y + 3. List the prime factors of f(4).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 6*c**2 + 1. Suppose 10*h - 5*h + 1764 = -4*u, -1759 = 5*h - u. Let p = -358 - h. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 3*f + 1254. Determine y(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18043 + 26524. Let l = -1958 + a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 392 - 392.07. Which is the third smallest value? (a) -0.2 (b) m (c) 8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355684507 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2302 is divided by 231.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*g**2 - 127*g**2 + 1973*g - 1973*g to h*g + f + a*g**2 and give a.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -33469424*w. Let h(z) = -7*z. Calculate r(h(y)).\nAnswer: 234285968*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.086 (b) 4 (c) -2\/5 (d) 1 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(3 + -1 + sqrt(272)) - -1*(sqrt(272) + 1 - sqrt(272))*-6) + 5)*3)**2*-6.\nAnswer: -239382 - 15552*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-6)*3\/(-4). Suppose -80 = -a*r - r. Let j be r*(-1 + 3)\/2. Solve -i + j = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 26. Let c be z(-12). Suppose -7*q = c*q - 1071. Calculate the remainder when q is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 7 = -434*b + 435*b, 21 = -4*l + 3*b for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, 119\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1236600 to the nearest ten thousand.\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, z: 5, v: 1, y: 1}. What is prob of picking 1 z and 2 j?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -73*q + 66. Is 13 a factor of f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23707*o**4 - 4*o**2 + 165*o**3 + 2*o**2 - 23706*o**4 in the form t*o**4 + l*o + p + w*o**3 + v*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u - 3. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 times 2.06?\nAnswer: -23.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -62*y + 1836. Let c be i(28). What is the greatest common divisor of 60 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - k = -0*u - 16, u = -3*k + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34291?\nAnswer: 53, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((10 - 7) + -4 - 2 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a**2 - 5*a + 8. Let m be s(-4). Let f(d) = m + d - 2 - 7. Let n be (-17)\/4 - (-6)\/(-8). Give f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-30) - 1 - 96\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -237 divided by -16\nAnswer: 237\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7557 and 15378.\nAnswer: 3521562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -238 + 363. Suppose -2*d - l = -7*d. What is the greatest common divisor of 10 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176000 = 4*y + y. What is y rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1988 + -1980. Let y = -0.92 - 0.08. Which is the third biggest value? (a) n (b) -5\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2539.\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbv when three letters picked without replacement from vfbxbfvx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 697579873 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-367*t - 186*t - 3333*t)*(-1 - 3 + 2)*(3 - 2 - 3).\nAnswer: -15544*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from afkbxqakxkqa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 - 8*f - 11. Let r be q(-1). Let w(l) = -6*l**2 - 2*l + 1. Let o(g) = -g. Let i(j) = 2*o(j) - w(j). Give i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2176087, -2176089, -2176091, -2176093, -2176095, -2176097?\nAnswer: -2176099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1710, -0.3 in decreasing order.\nAnswer: 2\/9, -0.3, -1710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6453*l - 796. Is j(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2783\/506*12\/(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, z: 3, g: 5}. Give prob of sequence zzlz.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + sqrt(51)\/sqrt(3) - (sqrt(170)\/(sqrt(10) - sqrt(250)) - sqrt(17))) + 3 + 5.\nAnswer: 7 + 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (8\/(352\/110) - 261\/(-6)) - 8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9150 and 120170?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-24)\/9)*6\/(-4). Which is the second smallest value? (a) -0.2 (b) -7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000253634 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 y when three letters picked without replacement from {k: 12, y: 5, o: 1}?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7*l = -6 - 12, 617*p - 306*p + 4*l = 308*p + 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 7*n - 8. Calculate h(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - 0. Let r = 8.32 + -8.52. Which is the closest to r? (a) 0.3 (b) i (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.83 - -0.13. Let z = t - -0.3. What is the closest to -0.3 in 1, z, 4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(684) + sqrt(684) + (sqrt(684) - (sqrt(684) + (-1*sqrt(684)*1)**2)).\nAnswer: -679 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2765 (base 9) to base 6\nAnswer: -13352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-2)\/(400\/4)). Let f = w + -48. Solve -5 = 5*g, 3 = f*d - 6*g + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 38, 84, 148?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 12684168.5.\nAnswer: -12684166.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1010 and -109\/70?\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/82 and 7\/(-77)*(-2 + 34).\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(2\/18). Suppose 2*t + 10 = 4*c - 4, g*c - 3*t = 6. Suppose -5 = -m - q, 0 = 5*m + 4*q - 1 - 21. Sort c, -5, m.\nAnswer: -5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2894266 divided by -3\nAnswer: -2894266\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 4678780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(5\/6))**37\/(b\/(b\/((b\/b**(-20))\/b*b)*b))**(-25\/2) assuming b is positive.\nAnswer: b**(1759\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9018 and 9.\nAnswer: 9018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31 + -701?\nAnswer: -702.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2065*k + 2062*k + 79, -8*k + 3*t + 190 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 + 15*q**2 - 9*q**2.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a010 + 361?\nAnswer: -975a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -57300000 to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:22 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/3 - 162922636*l**2\/3 + 1658986501112960*l\/3 + 1658986664035600\/3.\nAnswer: 4*(l - 20365330)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26467, -105204, -236209, -419482?\nAnswer: -655023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2752 - -6887. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4557)\/(-93)*5\/7)\/((-85)\/(-153))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -103, -224, -433, -760, -1235, -1888?\nAnswer: -2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1856\nAnswer: 1\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188048?\nAnswer: 2, 7, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -51 * 3.59619\nAnswer: -183.40569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -39, 10 in ascending order.\nAnswer: -39, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -116. What is the remainder when j is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 31 = -251. Calculate the highest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.58083 rounded to 2 decimal places?\nAnswer: -5.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*o + 9489 = 160*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 10275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42, -41, -40, -39?\n\"Answer: h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwmffmmwwmmwwwmmmm. Give prob of picking 4 w.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 118*i - 2*i**4 + 111*i + 1 - i**2 + i**4 to the form r*i**4 + h + w*i**3 + t*i + o*i**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19331242 divided by 37.\nAnswer: -522466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let q(b) = -51982*b**2. Determine q(w(h)).\nAnswer: -51982*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5657, 12928, 21819, 32336, 44485, 58272, 73703, 90784?\nAnswer: 109521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*w - 0*c + 13, 4*c = 4. What is the third derivative of -b - 15*b**w - 273*b**2 + 278*b**2 + b wrt b?\nAnswer: -360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20903 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 321959584*r\/3 + 25914493432363264\/3.\nAnswer: (r + 160979792)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 3, h: 2, f: 10, w: 2, c: 1}. Give prob of picking 1 g and 2 f.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (687 - 687 + 911*b**2)*(4*b**3 + 17 - 17).\nAnswer: 3644*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(2) - ((sqrt(4)\/sqrt(2)*-6 - sqrt(2)) + sqrt(2))))\/(sqrt(384)\/sqrt(192)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 24*a**2 - 31*a + 18. Let k(p) = -p**3 + 24*p**2 - 30*p + 20. Let l(x) = -6*k(x) + 5*y(x). Calculate the remainder when l(23) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-135)\/300)\/(24\/(-280)*-5)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6 and 71\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211049 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 429203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -265*b - 263. Calculate h(-5).\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 3:49 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-2*1\/((-6)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -517497 - -1081307. What is b rounded to the nearest one thousand?\nAnswer: 564000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(187)*-2)\/(-3*sqrt(396) + sqrt(11)).\nAnswer: -10*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**5\/20 + 4*t**2 - 1. Let v(s) = s + s - 3*s. Determine v(p(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*-2*sqrt(475))**2.\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n + 1821. What are the prime factors of p(33)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + (-54)\/(-45) + -8.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 274. Let w be o(56). Let i(y) = -14*y + 114. Let r be i(8). Solve -1 = q + 5*x, 0 = -2*q + 4*q + r*x - w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37145, 1\/2, 8, -1\/3 in increasing order.\nAnswer: -1\/3, 1\/2, 8, 37145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136\/21 + 15\/7. Which is bigger: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8425 = -a + 28360, -4*c = -3*a + 59807. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + 4 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 308*v**6\/3 + 2831*v**2\/2 - 652*v. Differentiate r(q) with respect to q.\nAnswer: 12320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -28, -56, -100, -166?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 10) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 + 301\/(-3). Let k = 234 + v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 2302628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/10 and 27\/146.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -5*g**4\/12 + 2*g**2. Let z(h) = -h**2. Calculate z(l(j)).\nAnswer: -100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let n(o) = -555246337*o. What is n(s(j))?\nAnswer: 555246337*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u**2 - 6*u + 2. Let l be z(4). Let t = -11 + l. Suppose -3*p = -4*p + t. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 3, w: 7}. Give prob of picking 1 w and 2 s.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-10) - (-18)\/30. Let i be (5\/(-2) + 2)*w. Suppose 5*a - 51 - 19 = i. Calculate the greatest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36332194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*n = -129*n - 3222. Let u = n - 146. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633757 is divided by 126672.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 7. Solve -m = -l + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470074394 is divided by 595?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 4*p**3\/3 + 5508*p**2 + 7584516*p - 1313. Solve q(m) = 0 for m.\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/27 + -1 + -17*220\/(-1530).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -4*i. Suppose 4*t - 61 = 5*b, 4*t - 2*b + i = 50. Calculate the remainder when 31 is divided by (2 - (-2 + 2)) + t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*o + 94 = -12, -139 = -3*b + 4*o. Let r be 1484\/b - 4\/14. Let p be (1\/5)\/(9\/r). Put -0.1, p, 3 in ascending order.\nAnswer: -0.1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 17. Calculate the remainder when z is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 233.\nAnswer: -7\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010111101011 (base 2) in base 3?\nAnswer: 111022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43315947 is divided by 14438646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 637789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 536.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from ylyllallccciyyllcyc.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 8*m + 5. Let a be n(9). Let u be (-4)\/(-20) - a\/(-15)*3. Is 23 a factor of u\/(-12) + (-369)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 65. Let f = n - 53. Which is the nearest to -0.1? (a) 0 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000067182485 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {t: 1, u: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*j**2 + 59 - 59)*(-5*j + 3*j + 4*j).\nAnswer: 224*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 5*f**3 + f**4)*(0 - 2 + 0 + 1 + 0 + 0 + (-3 + 1 + 1)*(-1 - 2 + 1) - 1 - 2 + 2 + 0 - 3 + 4).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-960))\/((-311)\/(-24880)).\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 727.498us in nanoseconds?\nAnswer: 727498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1047938\/165 + 69864\/11. Find b, given that -2\/15*b - x*b**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1872) + -1 + 1 + sqrt(1872) + -2 + (sqrt(1872) + -3 + sqrt(1872))*-6)**2*-6.\nAnswer: -1125600 + 28800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.5 - -79.5. Let a = 100 - w. Sort -8, -0.1, a.\nAnswer: -8, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 11*l - 8. Let o be b(10). Suppose -3*y = -o*q - 2*q - 82, -2*y = -5*q - 57. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62.8 + -62.77696. Round w to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 221) + 3\/((-9)\/(-6)). Let n = -1089\/5 - g. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.3. Let y = -34 + -55. Let a = y - -93. What is the third smallest value in -2, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -131. Let u be (-1 + -38)*(-64 + 63). Let y = u - t. Solve 0 = -y*b - 9 - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16495*a**5 - 51*a**2 - 427 wrt a?\nAnswer: 989700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26797, -27139, -28067, -29875, -32857?\nAnswer: -37307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*r - 90 + 12, -4*r - 20 = 0. Let u = 17 + m. Let h(q) = -q**2 - 2*q + q + 0*q - 1. Calculate h(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 2*70\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) 3 (c) 1 (d) -4765 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6271075 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**7\/840 - w**6\/72 + w**5\/30 - 170*w**3\/3 + 4. Let o(u) be the third derivative of i(u). Factor o(v).\nAnswer: v*(v - 4)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u = -62 - 134 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 11 = -2*d + d, -7*z + 2*z + 77 - 70 = 3*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*r - 3*r + 5, 0 = 5*p + r + 5. Let k be p\/(1 - 2 - -2). Solve k = -x - 5*o - 16, o - 3 = 2*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l + 1)*(-4 + 4*l**2 + 4) - 139010*l + 217*l**3 + 139010*l.\nAnswer: 209*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.5, -1.175?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.028 * -0.37562.\nAnswer: 0.01051736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 17. Let k be u(-14). Let m(b) be the first derivative of 2*b - 5*b**2 + 20\/3*b**k - 1\/3*b**6 + 2*b**5 - 1 - 5*b**4. Let m(i) = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*h, 0*j + 45 = 5*h - 4*j. Sort h, 1, -3\/5.\nAnswer: -3\/5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/(-44))\/(2\/184). Suppose -3*p + 26*p = u. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**3\/6 + 3*q**2 + 3*q. Let j(d) = 4. Let r(z) = 1. Let k(y) = -j(y) + 5*r(y). Determine 6*k(v) - t(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 404 - 304.6. Let w = b + -116. Is 0 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5812 is divided by 171.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 308*z**4 + 2*z + 433 wrt z.\nAnswer: 1232*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22209, 44418, 66627, 88836, 111045?\n\"Answer: 22209*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 6}. Give prob of picking 2 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 15. Let z = 145\/438 - -1\/438. Factor -2\/3*p**3 + 5\/6*p**k + 0 - z*p**5 + 0*p + 1\/6*p**2.\nAnswer: -p**2*(p - 1)**2*(2*p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 5\/2 (c) -3\/5 (d) -4\/183 (e) -1\/5 (f) -2\/3 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*h + 2, 6*h = 4*h + 8. Suppose -2*m + 8 = v, 4*v + 0*v + 5*m - 26 = 0. Find the second derivative of q*d**2 - 2*d**2 - v*d + d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*o - 5*o. Suppose -21 + 7 = -2*c. Suppose c = 4*x - 33. Calculate the least common multiple of x and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 85 = -6*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/9 (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.22 + 6.48. Let g = -8 + w. What is the biggest value in g, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1512, -5235, -11428, -20091, -31224, -44827, -60900?\nAnswer: -79443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 plus 102?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/19 + 17244*n**2\/19 + 38132856*n\/19 + 217158192.\nAnswer: 2*(n + 114)*(n + 4254)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 13*i**3 + 177*i**2 - 5*i - 5. Let x(b) = -16*b**3 - 176*b**2 + 6*b + 6. Determine -6*o(u) - 5*x(u).\nAnswer: 2*u**3 - 182*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44762 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -17)*5\/(-60)*(-9)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 - y**2 - 636 + 6*y**2 + 4*y**2.\nAnswer: -2*y**2 - 636","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -943 divided by -185.\nAnswer: 943\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/((-24)\/(-38)))\/((-5)\/10). Is -4 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10128789 by -1.\nAnswer: 10128789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 14) in base 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p**4 + 0 + 14\/3*p**3 - 1\/6*p**5 + 2*p**2 + 0*p. Differentiate g(z) with respect to z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 40. Suppose -4*z = -o - 2790, 6*z = u*z - 4*o + 2800. Suppose 7*r = 4*r + 3*d + 531, -d + z = 4*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/12 + 2*b**3\/3 + 6*b**2 + 19*b + 11. What is l(-6)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -20*z**2 - 11. Let i(u) = -7*u**2 - 4. Suppose 0 = 7*s - 11*s + 24. Suppose 11*l + 55 = s*l. Calculate l*i(r) + 4*p(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + g - g + (1 + 1 + 0)*(961 - 961 - 34*g) in the form v*g + n and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:52 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -44. Let p be -3 - (-2 + 39\/3). Let i = v + p. Which is smaller: i or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 3*u**2 - 5*u**2)*(-26*u**3 - 117*u + 117*u) - u**5 + 3*u**2 + 2*u**2 - 6*u**2.\nAnswer: 25*u**5 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {t: 1, h: 2, e: 2, y: 1, g: 2, q: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474125 (base 8) in base 5?\nAnswer: 133424130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2173, 2212, 2321, 2536, 2893, 3428, 4177, 5176?\n\"Answer: 6*q**3 - q**2 + 2168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 + v**2. Let u be c(-1). Suppose -5*s - q - u = 0, -4*q - 4 = 2*s - 0*q. What is the units digit of ((-3)\/s)\/((-2)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-15)*(-50 + -5). Suppose 12028 = a*c - 8454. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sipasvpvpp. Give prob of picking 1 i, 1 v, and 1 a.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -2\/5*t**3 + 1\/25*t**5 + 0*t - 1\/100*t**6 + 0 - 2*t**2 + 1\/20*t**4. Suppose d(o) = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + -6 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1933635232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 4*x**2 - 7*x - 5. Let k be -2 - (2 - 2) - 3. Is v(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-20)*17\/((-119)\/196)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/34474555 or -0.2?\nAnswer: 1\/34474555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 533 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 40*y = 38*y + 76, -y + 79 = 4*b + 2*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*3\/((-84)\/77)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h - 2. Let z be d(-3). Let x be (2 + z\/(-6))*3. Sort x, 1, -1.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 10*t + 44. Calculate the least common multiple of 60 and s(8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189579 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let k(o) = -o**3 + 5*o**2 + 8*o - 5. What is the remainder when k(6) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 12. Suppose -3*y - 19 = -2*x, -t*x - 3*y + 0 = 7. Suppose -3*r = 2*h - 56, -5*r - x*h - 9 + 97 = 0. What is the remainder when 46 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 + 30*n**2 + 39*n + 6. Let v(h) = -5*h**3 - 20*h**2 - 27*h - 4. Let p(q) = -7*j(q) - 10*v(q). Determine p(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 - 72. Let m be (-19)\/g + (-4)\/(-3) + -1. Solve -5*o - 25 = -m*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let o = 46081\/71 + -649. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16464?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 63968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0*x - 3*b + 74, -4*b - 72 = -4*x. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (119\/(-17))\/(13 + 27\/(-4212)*1986)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 1225?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2 + 1352944*c + 114403591696 = 0. Calculate c.\nAnswer: -169118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -437179*t**4 - 6*t**3 + 2670366*t.\nAnswer: -5246148*t**2 - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (-18 - -24 - -20).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38\/7 + 176\/35. What is the third biggest value in -2\/11, -2, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.57908 litres to millilitres.\nAnswer: 48579.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17500825 (base 9) to base 16\nAnswer: 8642fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1349\/852*18*(-16)\/6.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2764\/132 + (-61)\/((-18117)\/18)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 7. Let c be (5 + -6)\/(2\/h). Let a = 0 - 0. Are c and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1259, -2552, -3885, -5258, -6671, -8124, -9617?\n\"Answer: -20*r**2 - 1233*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -420*a**3 + a**2 - 2*a + 1. Let q(s) = s**3 + s**2 - 2*s + 1. Give 3*o(m) - 3*q(m).\nAnswer: -1263*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/115 and -23\/50?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 - 3*g**2 + 5*g + 2. Let s be a(-3). Let b(j) = -j**2 + 10*j - 6. Let k be b(9). Suppose -k*r + 10 = -s. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72807418 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**3\/3 - 2. Let g(c) be the second derivative of 4*c**3\/3 - 7*c. Calculate x(g(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3899374*a**6 - 7448559*a**2 wrt a.\nAnswer: 467924880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 7740 = -5*u. Let b = -312 + u. Suppose -4*j = -8*j + b. What are the prime factors of j?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 19 = 3*w + 14*v, -2*w - 4*v = -14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:03 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z + 47*z + 21*z + 77*z + 11*z.\nAnswer: 138*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-13\/5)*k\/(k\/k**16) assuming k is positive.\nAnswer: k**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**3\/3 + 7*q**2\/2 - 6*q + 2. Let s be b(4). Let t be (-118)\/(-2) + -6 + 4. Calculate the highest common factor of s and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.989736 + -0.082964. Let l = -0.0727 - k. What is the nearest to 1\/4 in -2, 0, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -7 (b) 0.22774 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5+59.064703961176\nAnswer: 54.064703961176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-48)*4\/(-16). Let w = -13 - -14. What is the closest to w in s, -0.3, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -334*j**5\/15 + 7*j**2 + 163*j. Let q(z) = 4*z. Determine t(q(s)).\nAnswer: -21376*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 150 + 220 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (51 - 92)) + 12 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4803372 and 12448?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + -2. Let u(d) = 422*d - 2528. Let k be u(6). Sort b, -5, -0.2, k.\nAnswer: b, -5, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*h**5\/7 + 1647582*h**4\/7 - 113111034930*h**3\/7 + 113099502150*h**2 = 0. Calculate h.\nAnswer: 0, 7, 137295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 27*l + 19. What are the prime factors of c(20)?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 326357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179116 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11. Let o(m) = -m - 23. Let u(x) = o(x) - 5*v(x). Let i be u(28). Factor 2 - 18*r + 109\/2*r**2 - 63*r**3 + 49\/2*r**i.\nAnswer: (r - 1)**2*(7*r - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 25337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 321 (b) 3\/10 (c) 2\/7 (d) 1 (e) 1\/5 (f) -1\/5 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -14 - 0. Suppose -5*p = -4*m + 40, 0*p - 3*p - 12 = 0. Suppose -1386 = -c*j + m*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 168*t - 587. What is the thousands digit of i(29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f**2 + 0*f + 15 - 1\/3*f**3. Let t(b) = 21*b. What is v(t(q))?\nAnswer: -441*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 712 + 388. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 73 = -17*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14145*u + 5815*u - 2406*u.\nAnswer: 17554*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25597463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.51 - -1.77. Let l = -3.74 - f. Sort l, -0.3, 1, 4.\nAnswer: l, -0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14550587, 29101161, 43651735, 58202309?\n\"Answer: 14550574*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -55. Let v = 49.999973 - j. What is v rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 424.07 + -427. Let t = -1.72 - g. What is t rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.602 - 22.48751. What is p rounded to 3 decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 4*q + 2*p + 28, -5*q + 78 = -3*p for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-20 - -23) - (2 - (-18 + -4))) + -4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*w + 6, 3*w - 4*k = 4*w - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15769 + 21115. Calculate the remainder when s is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -12, -6, 1 in decreasing order.\nAnswer: 10, 1, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 16) in base 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i. Let u(y) = 11*y. What is k(u(d))?\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + -6 + (119 - (14 - (-15 - -15)))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2261259 is divided by 1264.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9644600 divided by 4\nAnswer: 2411150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*r + 15, -5*r + 49 - 16 = 2*n. Let o = 90 - 61. Calculate the remainder when o is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-272674)\/60 + (-16)\/8. Let w = -4547 - m. Find the common denominator of w and -137\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20705.531 rounded to the nearest 10?\nAnswer: 20710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 211.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 197579839 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 13*t**2 + 46*t + 35. What is the units digit of d(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 t when four letters picked without replacement from {d: 11, t: 9}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m\/m**(-3\/10))**(3\/28)*(m**(1\/3)\/m*m*m*(m\/m**1)\/m)**(2\/7) assuming m is positive.\nAnswer: m**(107\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.75 + -0.25. Sort -0.5, i, 2\/5, 1 in ascending order.\nAnswer: i, -0.5, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*c - 6 = 0, 5*v = -3*c + 5 - 11 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 190848963 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -117, -1292, -4669, -11400, -22637?\n\"Answer: -192*j**3 + 51*j**2 + 16*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - (5 + 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68801, -68816, -68841, -68876?\n\"Answer: -5*b**2 - 68796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -16 - 680. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.003 + -44.003. Let a = 3173.22 - 3129. Let g = a + c. What is the second biggest value in 1\/11, -1\/11, g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -442, -267, -10, 335, 774?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -0.5, -26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74902*j**2*t**2 + 23*j**2*t - 77*j**2 - 21*j*t**2 + j*t + j - 2*t**2 + t + 333 wrt t?\nAnswer: 149804*j**2 - 42*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 396 = -1896. Suppose -j = -6*a - 34. What is the least common multiple of 3 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*(-4)\/(-1). Let c be -1*2\/((-2)\/h). Sort -1, 0, c.\nAnswer: -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:44 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 181116274 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + -14 + -7 - -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 - 5*g**2\/2 - 16*g - 16. Give r(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -261 - -261.5. Let g = 1 - 0.88. Which is the smallest value? (a) u (b) g (c) -3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18376, 18369, 18362, 18355, 18348?\nAnswer: 18341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 473.07 micrometers?\nAnswer: 0.00000047307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -724.07 + 725. Let i = -85.63 - -85. Let u = i + a. Which is smaller: u or 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93511, -374002, -841479, -1495936, -2337367, -3365766, -4581127, -5983444?\n\"Answer: b**3 - 93499*b**2 - b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -51*l**3 - l**2 - l + 1. Let g be k(1). Let n = -50 - g. What is the highest common divisor of 6 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1807755100 to the nearest integer?\nAnswer: 42518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3900 and -194.3.\nAnswer: -757770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1505, 3061, 7627, 12193, 16759?\n\"Answer: 4566*m - 6071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.745 and -3.\nAnswer: 2.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 + -102. Does 37 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 88 = j - 31, -z - 342 = -3*j. Let r = 29 - 1. What is the remainder when j is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -184*t - 386. What is u(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 22317*o. Let v(t) = -t**2 - 46. Give a(v(s)).\nAnswer: -22317*s**2 - 1026582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1629063 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 2*n + 3*n + (2*n - 4*n + n)*(-7 + 25 - 2) to j + p*n and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r*s**3*t - 55*r - 2*s**3*t**2 + 6*s**3 - 2*s*t + t**2 wrt s.\nAnswer: 12*r*s*t - 12*s*t**2 + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5622 = 2*a, -5*n = a - 10*n - 2827. What is the remainder when a is divided by 281?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1818*k - 1398. Calculate x(1).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4405746 is divided by 4879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*o**2 - 423*o**2 + 1 - 209*o**2 - 1.\nAnswer: -946*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57584813 + 1?\nAnswer: -57584812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 600*u - 33596. Give y(56).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-4 + 6) - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2848760785824 and -1.6.\nAnswer: -2848760785825.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2012 - 2007. Which is the nearest to -0.2? (a) l (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*s - 41 = 0, 3*u = -4*s + 5*s - 56. What are the prime factors of (u - -14) + -1 + 90?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 80?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 35*l**2 - 32*l - 24. Let x be r(19). Let c = -356 + x. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-135269)\/(-102) - 3*1\/18?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9489 and 10.\nAnswer: -9479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 784721753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-32))\/21 + (-39)\/696?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 667760 and 4140112.\nAnswer: 20700560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 21. Give q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11101011101011 (base 2) to base 6\nAnswer: 153455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -104, -5, -20, 18 in descending order.\nAnswer: 18, 6, -5, -20, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.03, 409.35, 24, -5?\nAnswer: 409.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3\/2 + 53547*a**2 + 2675613*a\/2 + 2461437 = 0?\nAnswer: -35673, -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32844209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/891 and 1\/5594184.\nAnswer: 61536024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 1759735576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:56 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*c - 19, -3*z - 33 = z + c. Let o(u) = -6*u + 16 - u + 5*u. Let f be o(z). Solve -s + p - 6*p = -23, 4*s - f = -5*p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*t - 317*t + 46*t - 16*t.\nAnswer: -484*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 + 868*n**3 - 10*n**2 + 1262*n**3 + 600*n**3.\nAnswer: 2730*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2673 to 3 dps.\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 3*p - 5. Let f be b(-5). Suppose 0*d = 5*d - 15, -f*g + 2*d = -54. Suppose 0 = -g*s + 360 + 288. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:53 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8.06. Let q = i - -1.06. What is the biggest value in 5, 0.2, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*s**2 - 20*s**2 + 4 to the form k + x*s**2 + a*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 4*n + 5. Let q be c(-5). Let x be (-2)\/(q + (-3)\/6). Factor 4*m**3 - 16*m + x*m**4 - 16*m**3 - m**4 - 5*m**4 - 24*m**2.\nAnswer: -2*m*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -311 + 313. Solve -k*n + 2 = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12194026*n - 20833750?\nAnswer: -12194026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 20*k + 540. Calculate the smallest common multiple of x(-12) and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464780, 1859084, 4182918, 7436282, 11619176?\nAnswer: 16731600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26721350*k**2 - 135494638 with respect to k.\nAnswer: 53442700*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10151347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgfrgxrxgxxgxrrg. What is prob of sequence ggf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**4 + 685*k**3 - 26045*k**2 + 167315*k - 141960 = 0.\nAnswer: -169, 1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + c - 2. Let h = 9 - 0. Let o(w) = 16*w**2 - 5*w + 9. Let t(g) = h*p(g) + 2*o(g). What is the second derivative of t(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 3.2. Sort -5, v, -0.3 in ascending order.\nAnswer: -5, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -393 - -7*4\/(-4). Let a be q\/(-12)*1677\/(-26). What is a rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = 1048 - 1126 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11293 + 22583\/2. Is 120.2 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomoooookokokooo. Give prob of sequence oo.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*z**5 + 14*z**2 - 7*z**5 + 18*z**5 wrt z.\nAnswer: 1500*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -x + 7, -5*j - x + 2*x + 14 = 0. Let w(r) = 2*r**3 - 5*r**2 - r + 8. Let b be w(j). What is the highest common divisor of b and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, o: 2, f: 11}. Give prob of picking 2 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 63, 11, -1, 22, -17, 5 in descending order.\nAnswer: 63, 22, 11, 5, 4, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77646.72 millilitres to litres.\nAnswer: 77.64672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) -11 (c) 29027 (d) 0.04 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -11.8. Let u = x + 1.8. Let v = -0.88 + 0.38. Which is the closest to -0.09? (a) 0.2 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4815*q + 48755?\nAnswer: -4815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 6 = -14*o. Let i(g) = o*g + 2*g - 7*g - g - g**2. Determine i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -103?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 3*b**2 - 3*b. Let g be 4*(-1 + (-2)\/(-8)). Let j be r(g). Let s = -632\/5 - j. Put 3\/2, s, -1\/5 in decreasing order.\nAnswer: 3\/2, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5727, 0, 0.3, 6409 in increasing order.\nAnswer: 0, 0.3, 5727, 6409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.5, 0.1, -0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 314, 2\/7, -756?\nAnswer: -756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*b = -348 + 35380. Is b bigger than -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 2:27 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 1\/36*k**4 + 2\/27*k**3 - 34 + 0*k + 1\/18*k**2. Solve u(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -180, -6218, 2, -3.\nAnswer: -6218, -180, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 595.5 - 601.5. What is the second biggest value in -81, t, 0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 20 = -17*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2832*v - 11647*v - 5882*v to h + p*v and give p.\nAnswer: -20361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n + 69. Let v(c) = 16*c - 213. Let z(i) = 19*b(i) + 6*v(i). What is z(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:25 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:28 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 3619149339.\nAnswer: 3619149339.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 15) in base 11?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 27*a**3\/2 + 33*a**2\/2 - 267*a - 60 = 0.\nAnswer: -5, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80606419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 199, 4, -0.049, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 11. Let a be m(13). Let q be 6*2*a\/(-20). Let s(z) = -z**3 + 8*z**2 + 10*z - 3. Give s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, -3, -1 in decreasing order.\nAnswer: 14, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 4*g + 2*g - 7, -5*g = 4*p + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {s: 1, t: 4, x: 10, v: 4}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.93 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8446 + -8087.96. Let l = k + -358. Put -5, 2, l in ascending order.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 + 1 = 61*h - 133 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y + 8 = 0. Let q be 25\/6 + y\/(-3). Let v = -3 + q. What is the closest to v in 0.2, -1, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + u + 32, d - 73*u - 15 = -68*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/31 (b) -0.08 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 283500 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 13 (b) -1\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 643*l - 325*l - 318*l - 92*l**2.\nAnswer: -92*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 8*d = 13. Let q be (-2)\/d - 18384\/(-156). Suppose s = 3*g + 38, 2*s - q = -2*s - 5*g. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8935592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*z - 348*z - 401*z - 113*z as v + p*z and give p.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36488658 divided by 2?\nAnswer: -18244329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1628277306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 - 98.0043. What is h rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94.631*-1621.\nAnswer: -153396.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from stsseettesttet.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 1. Let o be a(-1). Let z be (216\/(-4 + 0))\/o. Suppose 0 = -i + z - 0. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 5853156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 6*o + 6, -38*o + 3*m = -35*o + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 16*n - 26. Suppose 2*g - g = l, 2*l = -5*g - 28. Let k(r) = 13*r**2 - 48*r + 79. Let t(s) = l*k(s) - 14*w(s). What is u in t(u) = 0?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26688722 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 32*s + 153. Give p(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 9696*b**3 - 4705008*b**2 - 5490226560*b.\nAnswer: -3*b*(b - 1876)**2*(b + 520)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 54 - 4*t - 20 - 19 - 19. Let d(u) = -7*u - 7. Give 3*d(m) - 5*k(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 8*c - 5. Let p be z(7). Let g(t) = 3*t + 38. Let q be g(p). Solve -w + 3 = q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560823, 4486519, 15141981, 35892093, 70101739, 121135803, 192359169, 287136721?\nAnswer: 408833343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 - 24*u**2 + 2*u**2 - 8*u**2 + 19*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 8 = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 2*c + 1680 = 0. Let m = c - 87. Factor -m*k**2 + 7*k**2 + 14*k**3 - 4 + 22*k - 14*k**2.\nAnswer: 2*(k - 1)**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:11 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6, -3, -2\/9, -0.5 in decreasing order.\nAnswer: 6, -0.1, -2\/9, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113364371 is divided by 63.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/5 of a minute?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -6. Let a be s\/(1 + 1) + -3. Let h(y) = 3*y. Determine h(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 1141*r - 6810.\nAnswer: -(r + 6)*(r + 1135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1012 - 270. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-191)\/(((-45)\/54)\/(-5)). Let x = -805 - j. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 23*t**5\/10 - 3*t**4\/8 + t**3\/3 - 2*t**2 - 8. Find the second derivative of m(j) wrt j.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**4 - 2*i + 0 - 1 - 2*i**3 + 3 - 4. Let r(z) = 85*z**4 + 25*z**3 + 25*z + 25. Let q(g) = 25*n(g) + 2*r(g). Factor q(o).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-315))\/((-33)\/(-12705)).\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 20?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 4*f**2 + 4*f + 6. Let s be p(-3). Suppose s*u = 2*j + 20 - 2, -5*u + 4*j = -32. Does 3 divide ((-7)\/u)\/(5\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15671750 rounded to the nearest 100000?\nAnswer: -15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/((-24)\/56)*2. Suppose 4*p + 204 = y*p. Let r = 88 - p. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-9)*-3*3. Suppose 0*w + d*w = a, 2*w + 30 = 3*a. Solve a = -3*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19270332, 19270331, 19270330, 19270329, 19270328?\nAnswer: 19270327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -763.0000001162 + 763. Round l to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let f(r) = -4*r**2 + 12*r - 4. Let z(c) = -f(c) - 4*h(c). Factor z(u).\nAnswer: 4*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 4*h. Let f(v) = -5*v - 3*v + 3*v + v**2 + 4*v. Let g(o) = 4*f(o) - q(o). Let k(d) = -4*d. What is k(g(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 2, 0, -9, 9 in ascending order.\nAnswer: -82, -9, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -132788378 <= -398365138\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 2*y**6\/15 + 9*y**5\/20 + 2*y**4\/3 - 11*y. Let a(o) = 4*o**4 + 8*o**3 + 8*o**2. Let g(x) = 3*a(x) - 4*b(x). Factor g(n).\nAnswer: -4*n**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34789022, 34789027, 34789032, 34789037, 34789042, 34789047?\nAnswer: 34789052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 446*l**2. Let q(k) = 29*k**2 - 5. Let v(z) = -23*z**2 + 4. Let a(j) = -4*q(j) - 5*v(j). Give a(f(w)).\nAnswer: -198916*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313538 or -313943?\nAnswer: -313943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 1. Let f(v) = v. Calculate 2*f(k) + x(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 - 163. Let z be (-14)\/(-6) - (-2)\/3. Solve -5*x - 1 = r, -z*r + g*r - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 4. Let x be m(-5). Let r = 44\/5 + x. Which is the nearest to r? (a) 0.5 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*k - 2*w + 4, -21 = -23*k + 24*k + 5*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 4*o + 14. Let p = 14 + -16. Let s be 11\/(-22)*(p + -10). Let d be r(s). Solve -15 = d*y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 25) + 6 + 5 + (-188 - -292)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z + 84760 - 10140 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 + 4*i + 15. Let c = 121 + -116. What is the tens digit of o(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = k + 31, -323 = 2*k + 295 - 616 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.993304 grams?\nAnswer: 0.003993304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-75)*(-3)\/(-12)*2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjc when three letters picked without replacement from {j: 1, s: 2, n: 3, u: 6, c: 4}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5*h - 2*c**5 + 222*c**3 - 14*c**2 - 2*c*h wrt c?\nAnswer: 120*c**2*h - 120*c**2 + 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -9*w + 234. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1541 - 1501 = -4*n. Put -4, -18, n, -5 in ascending order.\nAnswer: -18, n, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 + 374. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -25, 73, 367, 947, 1903, 3325, 5303?\n\"Answer: 15*v**3 - 37*v**2 - 2*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 986259.4l?\nAnswer: 986259400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484634.95 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 - -7.88. Let m = -12790 - -12789.6. Which is the second smallest value? (a) -5 (b) -0.2 (c) m (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187621.\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/16)\/(10\/(-60))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u + 1506678. Suppose -780919 = 2*d + u. Let q = d + 1167129. What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323202 + 1230322?\nAnswer: 301120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*m - 253*m - 414*m**2 + 417*m**2.\nAnswer: 3*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 48. Let k be v(10). Suppose -3*a - 3*i + 109 = 2*a, -4*a + 4*i + k = 0. Solve a*y - 4 = 24*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 239319000 to the nearest 1000000.\nAnswer: 239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 27408?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 283\/2, 29\/2, -0.5?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -14, -67, -162, -311?\n\"Answer: -2*l**3 - 3*l**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/200 and 83\/22?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2\/11, -1, 4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326 - 320. Suppose -23*j + 102 = -d*j. What is the lowest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 642, 2525, 6894, 14991, 28058, 47337?\nAnswer: 74070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -584*d + 135115. Determine q(231).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j - 12*j - 5*j**3 + j**3 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a90a7 (base 11) to base 2.\nAnswer: 10000100100111111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 27. Let y be -3 + (-8)\/32 + 65\/20 + -4. Suppose 0*u + 3*u = -15. Sort i, y, u in increasing order.\nAnswer: i, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -3 (c) -12.20018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*i + 20 = 333*i - 5*b, 5*i + 5*b + 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*sqrt(6)\/((sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(6))\/sqrt(2)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5185*-5.\nAnswer: -25925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 6 = -3*h. Suppose -4 - h = -3*v. Suppose -v*c + 0*c = 0. Solve c = 4*y + y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/40 - 9*g**5\/20 - 15*g**4\/8 + 25*g**3\/2 - 9*g**2. Find i, given that y(i) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*t - 97*t**3 + 58*t + (-5*t**3 + 5*t - 5*t)*(-5 + 2 + 0).\nAnswer: -82*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 6. Let r = 9.08 - i. Is r > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05696416025 - -23.94303552975. Let m = -41 - -17. Let u = m + p. What is u rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696 by 59.\nAnswer: 696\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 34 + 2 = 0. Let l be (-54)\/w - 3\/(-2). Let j = l + 11. Solve 4*q - p = -4, 0 = 3*q - 2*p + j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 34*c - 6. Let f be x(1). Suppose -19 + f = m + y, -y + 37 = 5*m. Calculate the remainder when 96 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-16)\/12*-1. Suppose -4*v = 2*g + 8, 2*v + 2 = q*g - 12. Suppose -g*k = -7*k. Solve k = m - 6 + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + -3*(-2)\/(-3). Let h = p + 0. Suppose 3*k = h + 61. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2474313*i**3 - 53798*i - 12?\nAnswer: 14845878*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/72 and 37\/15?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*z**3 - 3*i**3*z**2 - 1903*i**2*z**2 - 2*i**2 + 1532393*i*z**3 - 2*z**3 + 13*z**2 wrt z.\nAnswer: -6*i**3 + 9194358*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 451.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-144) + 17907508\/48 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-90))\/(84\/260). Let v = 1433\/63 - y. Calculate the common denominator of -53\/7 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -325 + 325 + 11*s**2 in the form f + o*s**2 + y*s and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7653353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akd when three letters picked without replacement from kkbbbdkbbbkbbbka.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277039.\nAnswer: 7, 19, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16)\/4 - (3 + 218\/(-28)) and 87\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 6)*(44\/(-33) - -1). Let y(z) = -z**b + 87724*z - 87724*z. Let c(t) = 7*t - 1. Calculate c(y(n)).\nAnswer: -7*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128\/5*v + 2*v**2 - 138\/5 = 0.\nAnswer: -1, 69\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110401 (base 13) in base 10?\nAnswer: 400531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8)*(-8)\/1. Let m = 39 + -47. Let r be (s\/m)\/(3\/24). Solve -r*w + 2*w + 16 = -4*h, -5*w + 3*h + 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 173871 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*p - 10034 = -3762, -4*z + 6274 = -3*p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/55260 and 103\/156570.\nAnswer: 939420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + f + 1059 = 1065, 4*q = 2*f + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 3*j + 2. Let o be t(-3). Which is the nearest to 3\/2? (a) -0.2 (b) o (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 655*m - 6. Let u(x) = 4*x**2 + 1278*x - 11. Determine 9*f(i) - 5*u(i).\nAnswer: -2*i**2 - 495*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 1 - 8*n**4 + 43142*n**2 - 43142*n**2 + 2*n as b*n**4 + z*n**2 + c*n + u + s*n**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24767, 49205, 73323, 97127, 120623, 143817, 166715, 189323?\nAnswer: 211647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1045*z - 60*z**2 - 84*z**3 - 1030*z + 17*z**2.\nAnswer: -84*z**3 - 43*z**2 + 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (375\/(-20))\/25*32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20078 - -45873. List the prime factors of p.\nAnswer: 5, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(160))\/(sqrt(12)\/(sqrt(18)\/sqrt(3)) + sqrt(22)\/(sqrt(11) - (sqrt(99) + sqrt(11)))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 0 - j**2 + 0*j**4 - 1\/105*j**7 + 1\/60*j**6 - 1\/90*j**5 + 1\/504*j**8 + 0*j**3 + 0*j. Factor n(v).\nAnswer: 2*v**2*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*s - 5. Let h(d) = d**2 + 3*d - 18. Let b be h(s). Solve b = -2*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2757890 and 790?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 15 = -l + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251.471 - -251. Let m = v + 0.271. Sort 1\/4, m, 3, 14 in ascending order.\nAnswer: m, 1\/4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 2. Let f be b(2). Suppose 5*n - 25 + 10 = -5*l, 3*n = 4*l - 26. Suppose f*x + l*o = 7 + 3, -4*x + 5*o - 10 = 0. Solve 4*r + 9 + 7 = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0, -11021, -11 in decreasing order.\nAnswer: 0, -1\/8, -11, -11021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17779, -17781, -17785, -17791, -17799?\nAnswer: -17809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*(-13)\/1326*-20.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*s + 384 = 310*s. What is the remainder when 2141 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283 or 292?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*(-18)\/(-1080)*(216\/195)\/3.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Suppose -s - 1 = -4*h. Suppose 19 = 4*v - h. What is the remainder when 8 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/5*m + 21\/5*m**3 - 9\/5 + 9\/5*m**2.\nAnswer: 3*(m - 1)*(m + 1)*(7*m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -17*y**7\/42 + 17*y**3\/3 + 30*y - 23. Let u(w) be the first derivative of k(w). Find the second derivative of u(t) wrt t.\nAnswer: -340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -31. Differentiate -g*s + 5 - 1 - 2*s + 0*s with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 103*j**5\/10 + 215*j**2\/2 + 62*j. Find the first derivative of d(p) wrt p.\nAnswer: 618*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104047188 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41\/36 - 8\/9. Suppose 4*t - 340 = 4*q, 87 = 3*t - 4*q - 171. Let b = t - 821\/10. What is the nearest to v in 0.3, -4, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*a = -168*a - 990. What is the highest common factor of a and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174*r**2 - 2*r**4 + 8*r - 2 + 11*r**3 + 162*r**2 - 3*r**3.\nAnswer: -2*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, -2454, -3860, -5122, -6192, -7022?\nAnswer: -7564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3645?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j + 1. What is the remainder when 20 is divided by j\/(-4) + 27\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45211990 and 1810?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 535.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.97 and 5.0539.\nAnswer: -4.902283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 55 = 5*f, -41*f + 47*f + 86 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2905, 2641, 2377, 2113?\n\"Answer: -264*q + 3169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 11. Let i = -4 - 4. Let t be a(i). Suppose -5*r = d - 26, t*r + 3*d + 6 = 4*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 53*m**3 - 316*m**2 - 3*m + 17. Calculate i(6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -118040 and -9325096\/79 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1544866 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1604*o - 2250. Calculate r(-1).\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 10, x: 2}. Give prob of sequence olol.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.4545769 to 0 dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 - t**2)*(3 - 3 - t**3) - 16*t**5 + 47 + 53 - 97.\nAnswer: -14*t**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -48102528 divided by 17328\nAnswer: -2776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)\/(t*t**(7\/4))*(t*(t\/(t**(1\/10)*t))\/t*t)\/t**11)**31 assuming t is positive.\nAnswer: t**(-104811\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**3 + 42*w**3 - 1052*w**3 + 32*w**3 + 940*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:54 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1821287*c - 1821325*c = 0. Factor c - n**2 + 1\/2*n**3 + 1\/2*n.\nAnswer: n*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:25 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = b + 4*x, 2*x = -9*b + 4*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 1\/10 (c) 7 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22089 is divided by 1154?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49695263874 and 22.\nAnswer: 49695263896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 0*w + 0*w)*(4 - 4 - 4)*(-33 - 22 + 61 + 0 + 1 + 0 + (4 - 4 - 1)*(-1 - 2 + 5) + 29 + 34 - 32).\nAnswer: 432*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*m**2 - 2*d**3 - 104*d**2*m**2 - 76*d*m**2 - 4*m**2 wrt d?\nAnswer: 6*d*m**2 - 12*d - 208*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17977380?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 8 + (9 - (1 - -10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 3\/2)*-2. Let t = y - -6. Calculate the remainder when 13 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456\/348 + -1 + 10\/(-30)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 460 = b, -3*b + 296 = -4*n - 72. Let a = 88 + n. Let c(v) = -v - 4. Calculate c(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946578 is divided by 72810?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20580 is divided by 10286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b - 24. Let h be t(-5). Suppose 14*g - h = 12*g. Suppose -g*p = -4*p - 16. Does p = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/2))**(-49))**(4\/31))**(2\/33) assuming i is positive.\nAnswer: i**(196\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 6*l + (0 + 0 + 1)*(-1 - 2*l + 1) + 6 - 6 + l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -0.5, 1, 27\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-193)\/(-15) + 2\/15. Suppose -b*m + 11*m = -70. Calculate the highest common factor of m and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55962655.\nAnswer: 5, 7, 228419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 16*p**2 + 47*p + 200. Let c be t(-4). Solve -261*j + c*j = -63 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 14*s. Suppose s = -3*c - 3*o + 18, -o - 12 = -0*c - c. What is h in 3*h**2 + 7*h - 6*h**2 - 9 + c*h - 4*h = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -563.7328 and 1.9?\nAnswer: -1071.09232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2*(-3)\/(-6))*4\/(22\/(-11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 3*j**2 - 6*j - 4. Let d be 1\/(-4) + 25\/4. Let x = -4 + d. Let b be 6\/9*(-12)\/x. Give o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/9 - 160*s**2\/3 + 7889*s\/3 - 278254\/9 = 0 for s.\nAnswer: -526, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-3)*(-9)\/(-6). Let g = 58 + z. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000067463 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -134, -155, -122, 1, 250, 661, 1270, 2113?\n\"Answer: 6*c**3 - 9*c**2 - 36*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 557 or 56?\nAnswer: 557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 190. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*o**3*r**3 - 14*o**3 - 1794596*o**2*r**3 + 22*o**2*r**2 + 2*o**2*r - 10*o*r**2 + 272*o*r wrt r.\nAnswer: -378*o**3 - 10767576*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 8. Let m(x) = -x**3 - 5*x**2 - 12*x - 106. Let z be m(-6). Solve -g - c + 4*c = h, 5*g + z*c + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14748 - 14724. Solve 0 = g*m - 51 - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:47 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14507 is divided by 2347?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 866 and 20?\nAnswer: 8660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44697, 89436, 134251, 179178, 224253?\nAnswer: 269512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f**3 - 8*f**2 + 34*f - 8. Let w(s) = 7*s**3 - 9*s**2 + 33*s - 9. Let l(k) = -6*i(k) + 7*w(k). Give l(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/349 and 143\/2094.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -21 + 17 + 2 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 9*x + 2. Let s be r(-4). Let h be ((-357)\/s)\/(2\/4). Let j = h + -1. Calculate the highest common divisor of j and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-26) + 4224\/416. Solve 3*y = -x - y - 1, -x + 5 = i*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = -0*w. Let l = w - -5. Suppose -2*v + 5*u = -0*v - 85, l*v - 4*u = 200. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -574 (base 11) to base 7\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by 2?\nAnswer: -131\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7653, -7769, -8619, -10569, -13985, -19233, -26679?\nAnswer: -36689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + (-314)\/(-6). Does 18 divide s + 6 + -1 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4148257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17 - -14) + (1 - -211)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 8. Let y = 5 + x. Solve 0*g**2 + 0*g - 1\/4*g**y + 0 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.316017348 rounded to 1 decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15226, -13802, -12384, -10972, -9566, -8166?\nAnswer: -6772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1792)\/49532 + 4\/(-122)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-4 + -13)*-5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 9) in base 6?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/10 + 21*l**3\/5 + 4769*l**2\/10 + 6279*l\/5 - 64484\/5 = 0.\nAnswer: -49, -7, 4, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/117)\/(4\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 + 2*g - 1. Let d be u(-2). Let q be -9 - -23 - (22 + -14). Put d, 1, q in decreasing order.\nAnswer: q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 8*c**2 + 4*c - 6. Calculate h(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38539895 - -23959895. Round w to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 3.6. Which is the second smallest value? (a) 2 (b) t (c) 0 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwnniww. What is prob of picking 2 w and 1 n?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*k - 137*k. Suppose 10*g - 5147 + 1107 = k. List the prime factors of g.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 199204, -2\/7?\nAnswer: 199204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, -267, 1604?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*p**3\/7 - 44714286*p**2\/7 + 33322798484352*p\/7 - 13329112239456\/7 = 0. What is p?\nAnswer: 2\/5, 1490476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(98)*5)**2 - (sqrt(98) - (-6*(sqrt(98) + 4))**2)) + (-1 + -4*sqrt(98) + sqrt(98) + -5 + 0)**2.\nAnswer: 2261*sqrt(2) + 27072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.463+1282\nAnswer: 1279.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -296, -3 in descending order.\nAnswer: 5, -3, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 156 = 4*c, -3*c + 7*c = 12. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(637)*-1*1 - sqrt(637)))**2.\nAnswer: 63700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1368, 4, -3, -4 in decreasing order.\nAnswer: 4, -3, -4, -1368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 4*v**4 + 11*v**3\/3 + 14. What is the third derivative of x(b) wrt b?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210440 (base 5) in base 9?\nAnswer: -10532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*u + 7286357 = 7311653 for u.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335673780?\nAnswer: 2, 3, 5, 13, 233, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 100 = q. Let i = q - 227\/9. Which is the smallest value? (a) i (b) -5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12*(-2)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205, 204, 203?\n\"Answer: -m + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (308\/12 - -3)*3. What is the second derivative of -2*u**2 + 1 + 41*u + 56*u - 47*u**3 - d*u wrt u?\nAnswer: -282*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = 2*z. Let p = -4 + 2. What is the remainder when (-46)\/z + 1\/p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14532 (base 7) in base 3?\nAnswer: -12112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*(-1784)\/(-6690)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 133, 145, 173, 223, 301?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b + 9. Let h(o) = o**2 - 2*o - 1. Let t(m) = 5*m**2 - 14*m - 46. Let n(a) = -6*h(a) + t(a). Let r(u) be the first derivative of n(u). Give r(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3319, 82, 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.8 - 14.4. Let d = w + -15.400094. Round d to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a - 4. Suppose 5*o - 3 = o + 5*s, -4*o - 5*s = -13. Suppose -2*f = -o - 6. Calculate the remainder when k(5) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-146)\/4 - (-1)\/2. Let u = -107 + 41. Let l = z - u. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114.05 - 114. Let j = h - 2.05. Which is the third biggest value? (a) 5 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-243)\/(-297) - (-114)\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12 = 4*g. Solve -d + 20 = g*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**1\/r*r)\/r)\/(r*(r**(-2\/53)\/r)\/r*r) assuming r is positive.\nAnswer: r**(55\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4533182614 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4\/2 - 385*w**3 + 33245*w**2\/2 - 138600*w + 324000.\nAnswer: 5*(w - 72)**2*(w - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2 + r + 5. Let o be h(-5). Suppose -d - 35 + 150 = o. Find the second derivative of 128*w + 3*w**5 + 4*w**5 - d*w wrt w.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:15 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 4. Let i(y) = -y**3 + 2. Let u(c) = 2*c**3 - 2. Let j(z) = s*i(z) - 2*u(z). Find the first derivative of j(t) wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43187.83 millennia to decades.\nAnswer: 4318783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 10. Let r = 16 - k. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:47 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*z + 400 = 0, 101 = n - 4*z - z. What is the remainder when n is divided by (-18)\/45*-20 + 4 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -13) + 35 + -41?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 5*p**2 - 8*p + 7. Let i(o) = -o**2 + 2*o. Let m be i(2). Let z = 6 + m. Calculate q(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**3 + 3*z**2 + z - 12. Let w(p) = -p**3 - p + 1. Let n(v) = -d(v) - 6*w(v). Suppose -338 = -7*f - 233. Suppose -f*b = 34 + 26. What is n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-9))\/(((-20)\/(-66))\/5*306\/(-272))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1455015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4775175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/8827450 and -97\/750?\nAnswer: 132411750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 4\/9, -527, -1\/4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10414 + 17714. Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 + -79. What is the remainder when d is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-17) + -3*1322\/(-102). Suppose 5*k - 8*k + s = 0. What is the highest common factor of k and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170126 divided by -74.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12125 - -215?\nAnswer: -11510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 5:18 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 5:38 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(1\/7))\/(v*v**0))**(-31))**21)**23 assuming v is positive.\nAnswer: v**(-2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1664409 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, n: 2, v: 2}. What is prob of sequence xvn?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-329)\/(-3) + (6 - 4))*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2533146 divided by -6.\nAnswer: -422191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a - 15 = 0. Suppose -4*r + a*r = -5*k - 582411, -349469 = 3*k + 5*r. Let b = -44483 - k. Round b to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sir when three letters picked without replacement from mmiyzszrszirzszzzziz.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 3*w**2 - w**2 + (-4*w + w + 0*w)*(-3 + 3*w + 3) + (w + 0 + 0)*(0*w - 2*w + 3*w) + 3*w**2 - w - 4*w**2 - w.\nAnswer: -13*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.0415+-14.24121\nAnswer: -14.19971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 a when four letters picked without replacement from {z: 1, b: 5, w: 5, f: 1, a: 3}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6299 + -6295. Solve s*i - 11 = -2*w + i, 0 = 5*w + 3*i - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/35, -5, 1, 2\/9, -18?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 6:52 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -2 (c) -5\/262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/4 - 179*r**2\/2 + 1865*r + 1962. What is the derivative of b(s) wrt s?\nAnswer: -3*s**2 - 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44362521707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3471 - -6943\/2. Factor -1\/2 - 3\/2*s**2 + k*s**3 + 3\/2*s.\nAnswer: (s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - b + (3 - 3 + 1)*(3*b - 4*b + 0*b) - b - 34 + 34 - 2*b + b + 0*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4)*-3)\/(12\/(-40)). Suppose -5*c = -0*f + 4*f - 3340, -3*f - 3305 = -u*c. What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-2\/49)*u**(-5)*u**(1\/3) assuming u is positive.\nAnswer: u**(-680\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.43175308 rounded to 3 dps?\nAnswer: 211.432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + 12*(-3)\/(-9). Solve 3*k - 2*k**3 + q - 3*k - 5*k**2 + k**2 + 2*k = 0 for k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(-12)*18\/48*-4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*((-2)\/5*12 + 2). Let i(n) = -10*n - n + o*n. Let s(k) = -11*k**2. Determine i(s(g)).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 3*k**2 + 0*k + 3*k - 3 - k**2. Let t(b) = -11*b**2 + 7*b - 6. Let q(g) = -3*t(g) + 7*u(g). What is the derivative of q(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53529581 to the nearest integer?\nAnswer: 7316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*l**4 - 2*l**3 + 60*l**2 - 167948 wrt l.\nAnswer: -156*l**3 - 6*l**2 + 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 4 (c) -9 (d) 4\/17 (e) 108 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 2*w**3 - 8*w**3 + 124.\nAnswer: -10*w**3 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -728*w + 676 + 53*w**2 + 11*w**3 - 25*w**3 + 13*w**3 = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613656684.\nAnswer: 2, 3, 17, 53, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22 - 0) + (10 - 8). Suppose 6*m - 4*m = h. Calculate the greatest common factor of 72 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12 - 68 = 0. Let i = 21 + j. Suppose 2*u - i*x = 91, -5*x - 26 - 27 = -u. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109220, -218436, -327652, -436868, -546084, -655300?\nAnswer: -764516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 2. Let q = 824 - 16511\/20. Find the common denominator of q and (159\/f - 2) + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2846 and 57\/5.\nAnswer: 14230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1021 divide 3756259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-180 - -194) + 40\/(-4). Let 0*f**2 - f**3 + 0 + 0*f - 1\/5*f**d = 0. What is f?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 5, 1, -2, -3.\nAnswer: -3, -2, 0.21, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from pappaaapappa?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3070*l - 9211. Give m(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2868883828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 3. Let s be u(-5). Does 15 divide (s\/1)\/(-1) + 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:05 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpll when four letters picked without replacement from {l: 4, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8 + (24 - (-2139)\/155)*(-25)\/(-4020)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(30)*-4)\/(sqrt(20)\/(sqrt(6)\/sqrt(3))) - (((sqrt(36)\/sqrt(3))**2 - 2*-1*sqrt(3)) + sqrt(15)\/(sqrt(720) + -2*sqrt(720))).\nAnswer: -119*sqrt(3)\/12 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h - 27*h + 12140. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*z**3 + 97*z**3 - 51*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, z: 3}. What is prob of sequence rrzz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061 is divided by 57.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16416644, -16416672, -16416700, -16416728, -16416756, -16416784?\n\"Answer: -28*o - 16416616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1972)\/(-11973) + (-20)\/(-390)*-3 and -79\/24?\nAnswer: 7368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 6*g + 7. Let w be m(5). Suppose 2*y + 28 = 3*b, w*b + y + 26 = 5*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -844*j**3 + 5*j**2 - 13*j - 28. Let c be r(6). What is c rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (4 - 120\/28)*14. Solve -g*l - n + 6 = -15*l, -5*n = 3*l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 2:26 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1686\/13 - 9444\/65. Let x = -76\/5 - b. Suppose x*v + 0 + v**2 = 0. What is v?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 36 = -11*g. Let j be -1*(-15)\/g*4. Suppose 2*h + j = 4*h. Solve 2 - h = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 9*v**2 + 10*v + 13. Let m be 40\/(-12)*(-2 - 1). Let o = 0 + m. Does 11 divide n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**3 + 3813*z**2 - 116415*z + 878175 = 0.\nAnswer: -1301, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19053 - 19342. Which is bigger: -282 or h?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/4)*h*h*h**(-6)*(((h*h\/h**0*h)\/h)\/h*h)**(-1\/40))**(-2\/33))**(2\/129) assuming h is positive.\nAnswer: h**(76\/21285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (0 - -1)\/1. Suppose -30*r - r + 704 = -9*r. Suppose 2*p - 5*y - w = -r, 10 = 2*y. Solve 4 = -p*c - 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -60. Suppose -2*k + x = 2*h, 0*h - h = -5*k - 16. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888128 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17303380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00322540886 to six decimal places.\nAnswer: -0.003225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12*a - 232 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (50\/(-6) - -2)\/((-4)\/(-60)). Let o = 178 + a. What is the remainder when o is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477923.1 - 43.6?\nAnswer: 6477879.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {b: 2, t: 4, k: 3, i: 2, c: 2}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88.141 - 0.141. Let s = -126 + a. Let p = 38.13 + s. Are p and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2447935 is divided by 1287.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 3*d - 2*d + 2*d. Suppose 3*m - 2*m = 2. Let l(v) = -m*v + 4*v - 3*v. What is q(l(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39803, 79595, 119385, 159173?\n\"Answer: -y**2 + 39795*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -104*v - 1412. Determine r(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13369637.\nAnswer: 953, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.52 + -0.02. What is the second smallest value in v, 3, 1, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.92 + -3.98. Let v = t + 0.06. Let p = v - 6. Which is bigger: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -66.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 416.0993 nanometers?\nAnswer: 0.0000004160993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 - 9*v\/5 - 6.\nAnswer: 3*(v - 5)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -57.9 times 1.4\nAnswer: -81.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 254786611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*o + 184, o + 3*w = -2*o + 102. Calculate the greatest common factor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 836 and 66804?\nAnswer: 734844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (8\/(-48))\/((-1)\/66))\/(2\/64).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 + 4. Let m be c(-5). Let g = -875 - -870. Sort -19, m, g in increasing order.\nAnswer: -19, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(32\/72)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -5ce?\nAnswer: 5c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**3\/2 - i**2\/2 - 2*i + 1. Let n(b) be the first derivative of q(b). Calculate the remainder when n(4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 37*k - 69. Determine n(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 290 - 89. Round i to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3224*p + 1457*p = -1573*p - 1940 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5609, 22506, 50693, 90170, 140937, 202994, 276341?\n\"Answer: 5645*i**2 - 38*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -0.26, -45?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33313a - 28?\nAnswer: 333112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 33235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - a2a?\nAnswer: -a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319, -323, -291, -205, -47, 201, 557?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 1 + 15. Let o be -2 + 4 + -2 - t. Let q be (o\/90*6)\/(12\/10). Put -2\/7, -1\/3, -4, q in descending order.\nAnswer: q, -2\/7, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 8 = 2*g. Suppose -4*h = -h + 4*j - 136, -202 = -g*h + 5*j. 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 36 divided by 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 484, 489, 494, 499, 504, 509?\n\"Answer: 5*a + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 52*k**3\/3 - 54. Let h(p) = -5*p**2. What is u(h(f))?\nAnswer: 1300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31015 - -48878. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 1. Let r be 26\/4 - 3\/(-2). Let h(d) = 2*d**2 + 5 + 0*d - r*d**2 + 0*d. Let f be 99\/21 - (-4)\/14. What is f*a(v) - h(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22252 - 1?\nAnswer: -22253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 1349 - 1245 = -2*i, -107*i - 2*m = -24*i + 4401 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b. Suppose -2 = -4*a + 6. Let d be (-11)\/(-22) + 31\/a. Let n(j) = -16 + 2*j + 0*j + d. Determine t(n(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1735201*b**3 - 867455*b**3 - 867541*b**3.\nAnswer: 205*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 305*q**2 + 2428*q + 8. Let d be m(-8). What is the highest common divisor of 2808 and d?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (123 - 156 + 378)*(-2 + 36*f**2 + 2*f - 37*f**2 + 6*f) in the form x*f**2 + i + s*f and give x.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1330 and 3420?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/1243575 and 69\/276350.\nAnswer: 2487150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*(-3702)\/(-2). Suppose -2*s = 3*t - 238, 2*t - r = -4*s - s. What is the greatest common factor of s and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/(-14))\/((-55)\/(-70)) - -18.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4875 = -5*t + 2*n + 13071, 5*n - 3261 = -2*t. Let y be (t\/(-60))\/13 + 10\/(-25). Let u = 6.1 + -1.1. Which is the smallest value? (a) -2 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 3. Let t = -4320 + 4333. Let a(u) = -11*u + 10. Let d(v) = -34*v + 29. Let j(q) = -11*a(q) + 4*d(q). Determine t*h(y) - 6*j(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 113 = -3*z. Let n = -5 - 1. Let r be 32\/10*(-15)\/n. What is the highest common factor of r and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1658, -6819, -15486, -27665, -43362, -62583?\nAnswer: -85334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/7, -2, 0.2, 2066?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 768421.6 years?\nAnswer: 768.4216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 19 = -k + 5*k + 121, 3*k - 49 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 16468 = u + 4*q, -82310 = 5*u + 5*q. List the prime factors of 12\/(-78) + u\/(-13).\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbjf when four letters picked without replacement from ffjmcvb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhttt. Give prob of sequence ht.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Let w(u) = 3*u + 9. Calculate -9*f(d) + w(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p + 2. Suppose -8*l - 27 = 5. Let f be d(l). Let r be (12\/15)\/((-12)\/f). Sort 4, -28, r.\nAnswer: -28, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13982 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-3)*18\/(-3). Suppose 4*v - 15 - 1 = 0. Let p = v + -1. Solve 3*x + h + k = 0, -x - p*h = x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*u, -4*u - u + 270 = 5*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675333319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 + 4*v - 1. Let m be j(-5). Suppose l - 29 = -m*l + x, 5*l - 2*x - 33 = 0. Suppose 5 + l = 5*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.627785 weeks?\nAnswer: 609.46788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1670 divided by -5\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112327 - 225729 + 112880 + i**2.\nAnswer: i**2 - 522","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*a + 52 = -a, -5*a = -u + 40. Let d be (32\/u)\/((-10)\/(-25)). Suppose d*g = 5*g - 1210000. What is g rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 12*o + 25. Let f(n) = -n + 8. Calculate the least common multiple of f(-4) and h(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*c - 2*h, -4*h - 61 = -5*c - 9. Suppose 7*u + 220 = c*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659, 2624, 5899, 10484, 16379, 23584, 32099?\nAnswer: 41924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 78 + 78)*(-1 + 1 + 2*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1825. Let s be m(0). Suppose 3*g = -2*g + s. Suppose 0 = f - g + 72. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1, 539 in increasing order.\nAnswer: -4\/7, 1, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*w - 376, 206 = 2*z - 7*w + 3*w. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(5 + -1*sqrt(684) + sqrt(684)) - (sqrt(684) + (sqrt(684) - (-3*sqrt(684) + 0)) + -3))*-4)**2.\nAnswer: -31680*sqrt(19) + 291024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or -4582134?\nAnswer: -4582134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 945, 1891, 2837, 3783, 4729?\n\"Answer: 946*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -401 + 797. What is the greatest common divisor of d and 378?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - a + a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*392\/(-154) + -31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*5*((sqrt(300) - (sqrt(300) - (sqrt(300)*3 + -1 - sqrt(300)) - sqrt(300))) + sqrt(300)))**2.\nAnswer: -32000*sqrt(3) + 1920400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*g*w**2 - 105*b*g*w - 2*b*w**2 - 4*b*w + 5*b + 123*g*w**2 - 7*g + 2*w**2 wrt w?\nAnswer: 4*b*g - 4*b + 246*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*((sqrt(4050)*-1 + 2 - (-1 + sqrt(4050) + 0 + sqrt(4050) + sqrt(4050) + sqrt(4050))) + 5))**2.\nAnswer: -90000*sqrt(2) + 2532850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 - 12190*k**2 + 12751676*k + 25552128 = 0.\nAnswer: -2, 1344, 4753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.03 + 0.03. Which is the closest to 0? (a) -2\/5 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -658.62 to the nearest ten.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*f**2\/3 - 3436858*f\/3 - 429608.\nAnswer: 2*(f - 214804)*(8*f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17362581 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m + 354 - 383 - m. Let u be k(12). Let q(n) = n**2 + 3*n. Let j be q(-3). Solve 4*w - 16 = j, -o - u = 2*w - 5*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4539 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1346*r + 1489*r - 704*r + 403326 = -1943*r for r.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 667227, 1334481, 2001733, 2668983?\n\"Answer: -y**2 + 667257*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*q**2 + 2*q + 1104 with respect to q.\nAnswer: 34*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222 (base 3) to base 15.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/3)\/1 - 280\/(-420)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 38. Let a = 23 + h. Let x(i) = i**3 + 6*i**2 + 4*i + 4. Let o be x(-4). What is the biggest value in a, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 12 + (1 - -16 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 4*y**4 + 54*y**3 - 5*y + 5*y - 115*y**3 + 62*y**3 to f*y**2 + i*y + t + j*y**4 + w*y**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0 + 0)*(320 - 8 - 32)*(-4 + 4 - 4).\nAnswer: 1120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 - q + 5 in the form c + k*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -11. Let a(s) = -3 + 2 - 3*s + l + s. Suppose 0*k + 26 = -4*k + 2*c, 3*c = 2*k + 19. Calculate a(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 - 2*o - 1. Let m(s) = s + 9. Let n be m(-11). Let d be c(n). Let k(g) = 2*g**2 - g. Give k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84214 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 4. Let f be d(5). Let p = f - 9. Let z = p - -2. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 9*b - 7*b - 4*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*r - 22 = -5*c, -3*r = 2*c - 1. Suppose 18 = k + 8. Solve 0*d - k = c*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -56859?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11465909.\nAnswer: 7, 13, 163, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.76655 + -189486.35.\nAnswer: -189508.11655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, 23, 140, 381, 788?\n\"Answer: 7*u**3 - u**2 - 11*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7800272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/4)*d\/d**2)**13*(d*(d**(1\/3)\/d)\/d*d**4)\/(((d*d**(-2)\/d)\/d)\/(((d*d**1)\/d)\/d)) assuming d is positive.\nAnswer: d**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -8112*x**5 + 405912*x**4 - 802467*x**3 + 419790*x**2 - 15267*x + 144 = 0.\nAnswer: 1\/52, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/10))**(3\/17) assuming t is positive.\nAnswer: t**(33\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.01 (b) -2\/21 (c) 0.2 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n**(-4\/3))**17 assuming n is positive.\nAnswer: n**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - y**2 + y - 2. Let a be 4 + -4 - -1*5. Suppose -5*w + 8 + 12 = 0, a*m = 5*w - 30. What are the prime factors of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + a = -1 + 16, -2*z + 2*a = 0. Suppose d + z*r + 5 = -0, 31 = 4*d - 5*r. Solve 4*v = -3*g - 5, -d*v + v - 11 = -5*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 + 2095\/11. What is the third biggest value in c, -2, -0.2, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3072) - (sqrt(3072) - (-1 + sqrt(3072))**2))*-6 + (2 + sqrt(3072))*1 + -5 + 4.\nAnswer: -18437 + 416*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 10.9\nAnswer: -76.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10394.62 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 46 = -3*o, 3*o - 37 = p + 1. Solve o = -v - 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*y + 22, -3*y + 2*y = 3*d + 1. Are 4 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, 5, 0.5, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39176091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {e: 1, i: 2, c: 3, d: 5, w: 2, o: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {w: 8, l: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360873 to the power of 1\/2, to the nearest integer?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(2352)))**2.\nAnswer: -224*sqrt(3) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*n + 434 - 56 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -13741\/3, 1.95, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 2943?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*k + 114 = 5*w, 4*w = 3*k + 200. Let a = w - 160\/3. Let o(d) = d + 6. Let s be o(0). Put a, -5, s in decreasing order.\nAnswer: s, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505, -4069, -13727, -32527, -63517, -109745?\nAnswer: -174259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/3)*a*a\/a**(8\/5)*(a**(-2\/5))**48 assuming a is positive.\nAnswer: a**(-307\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170632 divided by 6094.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:19 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -505?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*k - r, -r - 18 = -2*k + r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 25, -4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 4746*i**2 + 3801*i - 950.\nAnswer: -(i - 950)*(i + 1)*(5*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.46, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/129 and 59\/219?\nAnswer: 9417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 5919809401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/12 - 4613\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/(-1734))\/(1173\/(-289)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s. Let f be ((-12)\/(-8))\/(6\/8). Suppose f = 4*i + 6. Let z(g) = -5*g**2 - 5*g + 4. Let x(l) = i*z(l) - 3*j(l). Factor x(w).\nAnswer: 2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3. Let t(r) be the first derivative of 3*r**4 - r**3\/3 + 6. Calculate -9*c(u) - 2*t(u).\nAnswer: 3*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.371 + 0.629. Which is the second biggest value? (a) 0.06 (b) -2\/19 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 3*h**2 + 3*h + 3. Let n be t(-2). Let k = -1 + n. Suppose k*w = 4*z - w - 206, -5*z - 4*w + 247 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 114, 180, 250, 324, 402?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + v + 35. Let r = 7 - v. Let i be 800\/(r - 3\/(-2100)). Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.115 + 0.535. Let m = -127\/186 + 1\/62. What is the fourth smallest value in 0.5, m, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15304527 (base 8) to base 14.\nAnswer: -6748bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 13. Sort -4, l, -5 in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1605 = 133*y - 2385 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-3 - -2) - -4. Let a(x) = -2*x**3 + 7*x**2 + 9*x - 15. Let n(y) = y**3 - 4*y**2 - 4*y + 7. Let h(d) = -2*a(d) - 5*n(d). What is h(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 1599799?\nAnswer: 1599799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -80223 divided by -2431\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-3)*w)\/w*w*w\/w**7)**(-14\/5))**(28\/5))**2 assuming w is positive.\nAnswer: w**(6272\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27491, -54970, -82449, -109928, -137407?\nAnswer: -164886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(((-1)\/21)\/(4\/(-24))). Let i = -912 - -4462\/5. Is s at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 20*z**2 - 57*z - 6. Does 35 divide n(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130479152 or 130479150?\nAnswer: 130479152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-28))\/5*2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38454*v - 38330*v = 2852 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-25)\/(-2100)*(-6)\/40*-4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 3*j**2 + 3*j + 4. Let i(z) = 635*z**2 - 635*z**2 + z + z**3. Let o be 1 + -1 + (-1 - 0). Let r(f) = o*k(f) - i(f). What is r(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m**(1\/14)\/m*m)\/m)*m**(-2) assuming m is positive.\nAnswer: m**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1163492 and 44?\nAnswer: 1163492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - 29*g**3 - 4*g**2 - 2 + 34*g**3 as k*g**2 + a*g + b + d*g**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7.9, -1733, 0.1, 18, 0.07?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108723?\nAnswer: 3, 36241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 10. Let s(r) = -3. Let p be 21\/28 + 219\/(-12)*3. Let q = p + 52. Give q*k(y) + 7*s(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456107.\nAnswer: 456107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1453.564 - 1421.8. Let y = n + -32. What is y rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22822019602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6.09. Let k = 0.23 + u. Let h = k + -0.14006. Round h to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u - 4*u + 4*u + (-2 + 1 + 3)*(2*u + 0*u + 0*u) + 2*u + 3*u - 3*u + u + u - 4*u + (-1 + 5 - 3)*(-14*u + 3*u - 12*u) - u + 0*u + 0*u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -6223?\nAnswer: -18669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -128.5 * -4\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + (0 - 27) - -2305. Round a to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 272034*r**2*t**4 - 1697*r**2*t + 69*t**5 - 5824*t wrt t?\nAnswer: 3264408*r**2*t**2 + 1380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 298*t - 45. Let d(p) = 3691*p. Determine d(v(z)).\nAnswer: 1099918*z - 166095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*m - 119*m + 66*m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -165, 3226, 10199, 20754, 34891, 52610?\n\"Answer: 1791*n**2 - 1982*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 2*g - 531 = 0, 4*r - g - 708 = 0. What are the prime factors of r?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32286*g**4*h - g**4 - g + 11718*h wrt g?\nAnswer: 387432*g**2*h - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:29 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3008*n - 246 - 3020*n + 6007*n + 125 + 121.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*4\/(-12) + 1. Suppose -q - 949 = -5*g - 4*q, -x*g = 5*q - 563. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*-2)\/(64\/16)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -266, 3, -3594, 2\/11?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*p**2 - 6*p**2 + 0*p**6 + 0*p**6 + 2*p**6 wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:11 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = -6*f. Suppose 12 = 3*l + 3*k - f, 0 = 2*l - 3*k - 5. Suppose 0 = 6*m - l*m - 4. Solve z = 2*q + 7, 5*q - m = -3*z + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -2\/3, -21, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107857, 215717, 323579, 431443, 539309?\nAnswer: 647177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4828 + -4826.9. What is the biggest value in 1, 5, w, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l + 13*l - 14*l)*(l**2 + l**2 - 3*l**2) + (-2*l**2 + l**2 + 3*l**2)*(17*l - 6*l + 7*l) to the form m*l**2 + v*l + j*l**3 + g and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from {x: 3, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - k + 0*k)*(0*k - 6*k + 4*k) - 11 + 543*k**2 - 26 + 1119*k**2 + 37 to the form c*k**2 + f*k + u and give c.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -734664*u**2 + 2*u - 542889 wrt u.\nAnswer: -1469328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 2\/21 (c) -1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*g = 1178*g - 902*g + 506*g + 149600 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 47, -1370, 1, -5 in decreasing order.\nAnswer: 47, 1, -3, -5, -1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 22\/5*p + 121\/5*p**2 + 1\/5 = 0?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -8, -4 in descending order.\nAnswer: -4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-691)\/(-1382)*(0 + 1 + -15) - 64\/8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 4*b - 5. Let c be r(-4). Let s = 24 + c. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7873 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.8 + 24.929. Let t = b - -0.071. Sort -4, -0.5, t, 2\/3 in descending order.\nAnswer: 2\/3, t, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = 201. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -14. Let k = 2 - -2. Let q = 4 - k. What is the third smallest value in -0.3, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-35)\/105*1\/2)\/(4\/(-72)). Solve -p*b - 39*u - 16 = -35*u, -3*u = -b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m**4 + 0*m**7 + 0*m + 1\/112*m**8 + m**2 + 1\/30*m**5 + 0*m**3 + 0*m**6 + 0. Find the third derivative of n(r) wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75556974 divided by 3.\nAnswer: 25185658","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -268 + 440. What is the highest common factor of q and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (2 + 2 - 0). Let n = u - 2. Is n < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -243. What is the hundreds digit of (q\/(-10))\/(((-17)\/10)\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 21*g**2 + 164*g + 20. Give u(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1509\/10 + 151. Which is the third smallest value? (a) 3 (b) l (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 27057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:52 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21873885*w**4 + 54*w**2 - 24859*w wrt w?\nAnswer: 524973240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -76*w + 2815. Calculate l(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -22\/9, 0, -0.052, -52\/3?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*w + 50 + 54 - 2185*w - 115.\nAnswer: -2543*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let u(i) = -49551*i**2 - 995*i + 2985. Let x(f) = 199*f**2 + 4*f - 12. Let m(g) = 4*u(g) + 995*x(g). Calculate m(t(z)).\nAnswer: -796*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, t: 1, d: 1, y: 3}. Give prob of sequence ut.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2878\/16813 + 2\/731. Is l less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/25)\/((-31)\/((-15190)\/42))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (80\/(-8))\/((-6)\/240)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 4 = -2*f + 35*o, f = -2*o + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -95*g**3 + 190*g**2 + 180*g - 35. Let r(q) = -8*q**3 + 12*q + 8*q - 5*q + 123 + 16*q**2 - 126. Let u(f) = 3*o(f) - 35*r(f). Factor u(c).\nAnswer: -5*c*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82.5 + 82. Which is the nearest to -3\/5? (a) 13\/15 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/32374 and 111\/356114?\nAnswer: 356114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 + 114.2. Let t = -10.14 + 0.14. Let c = t - i. Which is bigger: 3\/4 or c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 5. Let m = a + -13. Suppose 7 - 1 = m*p. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130380511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 90*k**2 - 5*k - 8. Let b(h) = -2*h**3 + 91*h**2 - 6*h - 10. Calculate -4*b(d) + 5*n(d).\nAnswer: -2*d**3 + 86*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 215591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1069*t**2 - 5*t + 10. Let a be x(2). Is 5 a factor of a\/(-9) - (-45)\/(-405)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oec when three letters picked without replacement from clllooelco?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 500, 498, 496?\n\"Answer: -2*t + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 23*t**2 - 484*t - 23. Is p(-52) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 350 = -28*m. What is the greatest common factor of 530 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 24 = -4*y, -2*y - 3*v = -4*y + 17. Let f = y + 8. Suppose 0 = -7*q + f*q - 16. What is the smallest common multiple of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -84*y**3 - 13*y**2 - 17*y + 48. Let i(q) = 86*q**3 + 11*q**2 + 15*q - 48. Let g(d) = 6*i(d) + 5*s(d). Find the second derivative of g(j) wrt j.\nAnswer: 576*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007118 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5828 (base 11) to base 2\nAnswer: 1110111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let k(l) = 3*l + 2. Let r(c) = -k(c) - 2*s(c). Let f(g) = -4*g**2 + 4*g + 4. Let h be f(-5). Let j = -120 - h. Calculate r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + 50*p**2 + 20*p - 9. Calculate the remainder when 82 is divided by h(17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/3 - 2 - (-2 - -2). Let s = -15 + 13. What is the third smallest value in s, -1.7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 - 21 = -3*q, 2*u - 7 = -q. Suppose f + 5 = 0, 2*y = -2*y - f + q. Solve -y*d = -b - 12, 4*b + 4 = 5*d - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 10. Let o be t(-2). Let c(y) = 5*y + 6. Let g(w) = 30*w + 35. Give o*g(z) + 35*c(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.867728l to millilitres.\nAnswer: 8867.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -63. Let p be ((-1)\/v)\/(-3 + 20\/8). Let g(y) = -y**2 + y + 1. Determine g(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52506 + 367538\/7. Let h = -2 + 2.2. Let u = h - 1.2. Which is the smallest value? (a) m (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 156182?\nAnswer: 1093274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)*-19*-1. Let p = 177 - 176. What is the units digit of (w\/38)\/(p\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 - 4024355*o**2 - 76461110*o - 136824840 = 0.\nAnswer: -804852, -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + 0 + sqrt(171) + sqrt(171) - (sqrt(171) - (3 + 0 + sqrt(171) + sqrt(171))))*6 - 5*-3*(sqrt(171) - -5*2*sqrt(171)))**2.\nAnswer: -34360578 - 79056*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from qhllhqhqhialloqoqhll?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(98) + 1)**2 + 4 + sqrt(500)\/sqrt(10).\nAnswer: 19*sqrt(2) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2 + 78*j + 85*j - 4*j**4 - 16*j**3 - 147*j = 0. Calculate j.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.34942 rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -17*a**4\/6 + 607*a**3\/2 + a + 6. Find the second derivative of w(p) wrt p.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3114267, -6228536, -9342805, -12457074?\nAnswer: -15571343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 24\/2) + 3. Let d = -6.6 - -7. What is the third biggest value in s, d, 4\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 122. Let b(s) = 6*s - 121. Give 6*b(k) - 5*v(k).\nAnswer: k - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-58)*2\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 4*v**2 + 10*v - 22. Let b be (-15)\/(-10)*(-12)\/(-9). Let o be ((-2)\/b)\/(1\/9). Is g(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + ((-12)\/14 - -1). Let m = -19\/4 - -21\/4. Which is the nearest to m? (a) -5 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5 = 6*h + 1, -h - 1 = -4*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 3*o + 3. Let l be y(2). Calculate the least common multiple of 178 and 10 + l - (-2 + (-2 - -5)).\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5*m = -6. Let p be (-26)\/65*(0 + -5). Find the first derivative of s**p - 13*s**m + 0 + 12 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117359201\/11753742 + -2\/178087. Let t = w + 108\/11. What is the second smallest value in -5, t, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 14. What is the remainder when 94\/8 + (-2)\/(-8) is divided by j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6113 + -4992. What is the greatest common divisor of p and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**2 + 67*d - 19 - d**2 - 178*d.\nAnswer: -29*d**2 - 111*d - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 209 = -7. Suppose 0 = 2*l + 3*l - 35. Let j = 45 - l. What is the smallest common multiple of j and v?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1896124 and 19703.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11971988891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.4, 110, -0.1, 21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1092180, 2184407, 3276676, 4368987, 5461340, 6553735, 7646172?\n\"Answer: 21*o**2 + 1092164*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = 25 - 145 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -4, -1, -1567\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*29*((-1476)\/(-1107))\/((-4)\/3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 + 11*k**2 - 13*k. Let t(p) = -p**3 + 5*p**2 - 6*p. Suppose -30 - 30 = -10*r. Let d(s) = r*c(s) - 13*t(s). What is d(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68.4 - 60. Let y = i + -3.4. Which is the smallest value? (a) -4 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-4 - 0 - -3). Let r(c) = -7*c**2 - 3*c - c**3 - 3 + 2*c**3 - 3 + d*c**2. What is r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(4*sqrt(5)))\/(2*sqrt(1089) + sqrt(1089)).\nAnswer: sqrt(7)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60118.\nAnswer: 2, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -1) + 45 - 17 - 41?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3 = 4*k. Let v be (k - 1)*(0 + 1). Sort 4, v, -2 in decreasing order.\nAnswer: 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 4*i - 14*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*j**5 - j**3 - 4*j + 19?\nAnswer: 380*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12182128 divided by 2.\nAnswer: -6091064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23100144 divided by -1443759?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1996.8 minus 17?\nAnswer: -2013.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25 = -0*o + o, 5*b - 91 = -4*o. What is the remainder when o is divided by (-2)\/(-7) + 178\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/3 + 1175*l\/3 + 98.\nAnswer: -(l - 294)*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -7. Let y(s) = -s**3 + 6*s**2 + s - 13. Let o(k) = k**2 - 19*k + 40. Let b be o(17). Let n be y(b). Sort n, -0.2, u in ascending order.\nAnswer: n, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -937, -637, -139, 557, 1451, 2543?\n\"Answer: 99*b**2 + 3*b - 1039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -273 (b) 571 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 + 69\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123311972 or 123311973?\nAnswer: 123311973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145041436 - 4?\nAnswer: -145041443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -279, -3, -879 in increasing order.\nAnswer: -879, -279, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 36*k - 12*k - 12*k to u*k + j and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258178493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2535 and 135.\nAnswer: 22815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6701 is divided by 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (276\/1540)\/((-10)\/(-25)). Let w = 4\/77 - n. Factor 3\/8*m**2 + 3\/2 + w*m.\nAnswer: 3*(m + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/25)\/o**(12\/11) assuming o is positive.\nAnswer: o**(-322\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-2))\/(5*6\/920). Let i = -285 + o. Solve -2 = 39*b - i*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 2*p - 6*p + 3*p + 6*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11305600?\nAnswer: 2, 5, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(1 + sqrt(2448)) + 3)**2.\nAnswer: 96*sqrt(17) + 39172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - 152. Let z = a - -122. Let u = z - -46.5. What is the biggest value in -2, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 4)*(2*q**3 + 4*q**4 - 2*q**3) as s*q**3 + c*q + x + l*q**2 + z*q**4 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011101010101001101 - 1?\nAnswer: -10010011101010101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 28 = -w - 10*q, 7*w + q - 6*q + 65 = 12*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + (-3 + sqrt(612) + sqrt(612) + -2 + (sqrt(612) - (sqrt(612) + 0))*-3)*2 + -1))**2.\nAnswer: -1152*sqrt(17) + 39312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430141 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110400 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*a = 5, 6*a + 1 = -t + 4*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2524, 44, 10, -2 in increasing order.\nAnswer: -19, -2, 10, 44, 2524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -203231122 (base 4) in base 13?\nAnswer: -51763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - g + 29, -2*d - 2*g - 54 = -8. Let r be 2\/(-7) - d\/42. What is the second biggest value in -5, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111 + 1?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*b**2*y + 60*b*y - 2*b wrt b?\nAnswer: -214*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15.9 (b) 2 (c) -1\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005311 rounded to six decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j - 1. Suppose 0 = 9*u - 109 - 710. Let v = 90 - u. Let d(o) = 8*o**2 - 12*o - 12. Calculate v*d(q) + 12*f(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1fffc (base 16) to base 5.\nAnswer: 13143233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 158.14098 months?\nAnswer: 0.13178415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 - 870 = 126*t + 98 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 535149 and 1164.\nAnswer: 2140596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 4. Suppose -2*n + 2 = 0, 6*n + 88 = 3*p + 10*n. Solve -8 + p = -z*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/13 (c) -0.5 (d) -1470 (e) -0.05408\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o - 393. Let l be r(56). Is -31357*l\/(2\/4*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose o*x = 4*x + 4. Let m be (-1)\/2 - x\/4. Solve -4 = w - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 146476.66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 853 and 908 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.4 from 2869.\nAnswer: 2866.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 >= 240390\/383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -53\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x - 3. Let n be h(3). Suppose -5*q = 10085 - 3155. Let m be (0\/2 + 1)\/((-6)\/q). What is the highest common divisor of m and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 2*s + 0*s - 3)*((-6 + 2 + 3)*(-1 + 2 - 5) + (2 - 4 + 4)*(2 + 2 - 5)).\nAnswer: 6*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109847.\nAnswer: 109847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.82831 years to millennia.\nAnswer: 0.00482831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 41 = 5*i, -5*c + 3 = -2*c. Let f = i + 12. Suppose 5*l - f*l = 67. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*x = -7, 0 = t - x + 2*x - 3. What is the third derivative of -9*n**3 + 49*n**t - 35*n**2 - 3*n**3 wrt n?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**3 - 16*o**2 - 9*o. What is b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004798 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 9*b - 8. Let a be -2 - (b - 0)\/(-4). Solve -2 = 2*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/60 - q**4\/6 + 3*q**2. Let x be h(7). Suppose -4*a + 31 + x = 0. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*8)\/(-24*(-125)\/(-7125))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51376, -102675, -153974, -205273, -256572?\n\"Answer: -51299*o - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 3*k + 3*k + (-4*k + k + 4*k)*(4 + 0 - 2))*(0*k - 5*k + 0*k).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -20.99999994. What is f rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21988.47mm to nanometers.\nAnswer: 21988470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*g = -10 + 2, 6 = -3*k - 2*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32969246.\nAnswer: 2, 16484623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 402*y**2 + 1067*y - 125*y**2 + 2089*y - 150*y**2 - 126*y**2 - 2*y**3 as q*y + u + s*y**3 + o*y**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 13*g**2 + 12*g + 35. Calculate h(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1116\/11 - -102. Which is smaller: w or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1))\/(y*y*y**2)*y*y**(2\/5)\/y*y\/(y**(-2\/3)\/y)*y assuming y is positive.\nAnswer: y**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2) - (-3)\/(-1). What is the smallest value in 5, -1\/10, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243735170 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 62 = -0*s. Suppose -2*c + 34 = -4*p, 3*c + 11 = -2*p + s. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1115091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2111 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7856*m + 785 = -7699*m. Let v be 28*(1 + 10\/4). Suppose 5*a = 4*u + 287, -v = -2*a + u - 5*u. What is the greatest common factor of m and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22359 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095006 divided by 365002?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 160?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*h = 20, 4*o + 25 = 2*o - 5*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10285 - 3*i**3 - 30*i**3 - 1044 + 1669.\nAnswer: -33*i**3 - 9660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 610*d**2 + 20*d**6 - 2*d**5 + 934*d**2 - 48*d**6 + 156*d**6 wrt d.\nAnswer: 15360*d**3 - 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*l - 934523 + 32*l**2 + 934523 to r*l**2 + d*l + m and give d.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxwwwwwxwxxwwwxxwx. Give prob of picking 3 x and 1 w.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezzz when four letters picked without replacement from {e: 1, r: 8, z: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04754 + 5.95246. Put a, 2\/7, 3\/5, 0.4 in ascending order.\nAnswer: 2\/7, 0.4, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - (-25)\/5 - (-26)\/6. Which is the biggest value? (a) 23 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -24 - 40 - u + 85. Is y(11) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 - 106. Let g(o) = -5*o - 1. Determine g(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -3\/371 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + k + 265 = -3*k, 0 = 5*h - 3*k - 460. Let c(q) = 21 + 93*q - h*q - 8. Calculate c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 767419 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffsk when four letters picked without replacement from kslffsxsslkyfy.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Let k(a) = 2*a**2 + 3*a + 4. Let r(i) = -7*i**2 - 9*i - 11. Let g(j) = -11*k(j) - 4*r(j). Determine c(g(m)).\nAnswer: 12*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by -58?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 1\/25*w**5 - 1\/10*w**3 + 0*w - 3\/40*w**4 - 3*w**2 + 0. Factor i(o).\nAnswer: 3*(o - 1)*(4*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 4894*v**2 - 83772*v - 73. What is g(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -63*d**2 - 10*d + 5. Let v(k) = -24*k**2 - 4*k + 2. Let g(h) = -8*v(h) + 3*y(h). Calculate g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0\/(-3))*(-3 - -1). Suppose -j*f = 0, -y - 2*f = 2*y - 9. Let a be 1\/3 + 8\/y + -3. Solve a = -5*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 10490.\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 21. Let l be z(12). Let h = -0.01 + -0.19. Let x = h + -0.2. What is the third smallest value in x, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*b = -4*b - 40, -5*j + 45 = -3*b. Let d be ((-6)\/(-1))\/(j\/(-3)). Sort -2, d, 2.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, w: 1, z: 4, d: 6}. Give prob of sequence fffd.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 503 - 237. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -235731.807285748.\nAnswer: -235736.807285748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.602 - -0.062. Let a = p - -0.24. Which is bigger: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 plus -8058.7503409?\nAnswer: -8150.7503409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 102396 divided by -28\nAnswer: -3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*z - 2. Suppose 5*o - 10 = -5*g, 4*o = 3*g - z - 4. What is the third derivative of 2*c**g + c**6 + 3*c**6 - 2*c**6 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1420*l**4 + l**3 - 2553*l**2 - 108600907?\nAnswer: -5680*l**3 + 3*l**2 - 5106*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 5*i - 1. Let v be b(4). Suppose v*y + 4*p - 50 = 0, 2*y + 5*p = 3 + 42. What is the highest common divisor of 90 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-117))\/((-6)\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, j: 2, v: 1, o: 1, s: 1}. What is prob of sequence oh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -129345 at least as big as -129344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(539) + (sqrt(539)*-1)**2 + -1.\nAnswer: 7*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqq when three letters picked without replacement from {q: 3, o: 2, s: 10, l: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = -5. Let w(x) = x**3 - x. Let p(g) = -2*g**3 - 8*g. Let j(t) = i*p(t) + 6*w(t). Find the second derivative of j(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*d - 176 = 64*d. Let w be 3\/9*2*24\/d. Solve -2*h - g - 5 = 0, -g = -2*h + w + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + p**2 + 15 - 15.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -26.8 (c) 89\/3 (d) 3 (e) 2\/7 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -32. Suppose 0 = -5*x + j - b, 0*j + 9 = -2*x - j. Does 7 divide (-23)\/(-3) - (-2)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7694, -30909, -69596, -123755, -193386, -278489?\n\"Answer: -7736*o**2 - 7*o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000559717008 to 6 decimal places.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6386\/9579 + 3\/(18\/(-382))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 92. Solve 0 = z*b + 4*g - 3*g + 14, b + 7 = 4*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5112.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(0 + 1\/4). Suppose 5*b + 8 = 3*m, f*m = -2*b + 7*b + 19. Let w = m + -7. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b + 2. Let o(t) = 1. Let k(y) = m(y) - 6*o(y). Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f + 484 = -115*f + 43 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8025491212*r - 5*r**3 - 8025491212*r - 4.\nAnswer: -5*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222001100 + 22?\nAnswer: 10222001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292528 = -3*o + 5*j, 206664 = 4*o - j - 183413. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-2\/33))**(-1\/9) assuming h is positive.\nAnswer: h**(2\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + -1 + -2*sqrt(275)*6 + -1)**2 + 1.\nAnswer: -360*sqrt(11) + 39612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3785825\/48 or -78872?\nAnswer: -78872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419132259 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 + 5. Let u = 23 - 7. Let r = 21 - u. Suppose -41 = -r*i - 16. Let x(f) = -20*f**3 - 24. Determine i*x(y) + 24*n(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32940 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 58788*x + 10831912 = 0. What is x?\nAnswer: -14879, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38248598 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3337584 rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(12*t**3 - 172*t**3 + 645*t**3).\nAnswer: -970*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.4. Let q = a + 0. Suppose 3*h - 1 = -2*b - 4, -5*h - 3*b = 5. What is the closest to h in 1, 3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-553)\/163135)\/(7\/140*-1*-2).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 16 + (-4 - (4 - 17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1025*l + 5361. Let o be v(-15). Calculate the greatest common divisor of o and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40075 is divided by 1671?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 12:14 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -60*m - 612. Let u be j(-12). Suppose -3*n + 24 = -3*p, 2*n - 5*p - 32 = -n. Calculate the greatest common divisor of u and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 9 + 2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6790018?\nAnswer: 2, 37, 91757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5)*(-35)\/21. Let i = 94 + -97. Which is the closest to -0.2? (a) w (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5 + 2*f**4 - 246*f**3 - 946*f**2 + 1652*f + 2352 = 0.\nAnswer: -7, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) -0.56 (b) -514 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 140902831 and 5.\nAnswer: 140902836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q, 11 = -s + 3*q + 71. Let p = s + -57. Let l(n) = 2*n**3 - 3*n**2 + 2*n - 3. Let y be l(2). Solve 5*b - 2*a = 3*b - 6, -y*b - 4*a = -p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 14*b - 47. Let n = -44 - b. Solve 11 = -s + 4*g, 5*g - 12 = n*s - 0*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 - 5.5. Suppose -3*t + 8 = -14*k, -11*t - 4*k = -13*t. What is the closest to -3 in b, -0.06, -5, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.25 - -15.25. Let u = -88 + 618\/7. Sort u, -3\/5, t in ascending order.\nAnswer: t, -3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**6\/75 - 2*z**5\/25 + 2*z**4\/15 + 3*z. Let n(a) = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 427 + -407. Sort b, -4, 2 in increasing order.\nAnswer: -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 120 = 3*f. Suppose 3*l - 120 = -3*q, -5*l + 117 = 2*q + 25. Let t = q + f. Solve 3*j = -0*j - t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 16*c + 92022. Let b = c + -683567\/52. Find the common denominator of 85\/22 and b.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*i, 0 = -9*y + 4*y + 4*i + 13714. Let h = y - 21891\/8. Let x = -146\/105 + -4\/105. Find the common denominator of x and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -3, -34 in decreasing order.\nAnswer: -3, -34, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14491 less than or equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 15, 4*z - 6 = 4*a + 6. Let p be z\/10*(-6 - -1). Let h(g) be the first derivative of -g**2\/2 - g - 13. Give h(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 361. Differentiate 311*m + 256 - 437*m + d*m wrt m.\nAnswer: 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15839, -3, 0.1?\nAnswer: 15839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 62935085.\nAnswer: -1\/62935085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.04769\nAnswer: -0.023845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*z - 2*z - 98*z + 24300 = 0. Calculate the remainder when 6397 is divided by z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/7 - 6*n**3\/7 - 3*n**2\/7 + 10*n\/7 = 0. Calculate n.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 815*w**2 - 6*w + 24. Let s(q) = -154850*q**2 + 1141*q - 4564. Calculate 1141*b(u) + 6*s(u).\nAnswer: 815*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*d**2)*(-3*d**3 - 3*d**3 + 4*d**3) + (3*d**2 - 8 + 8)*(-d**3 - 3*d**3 + d**3).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i**2 - 7\/4*i**4 + i - 1\/3*i**3 + 1. Let m(b) = b + 2. Let x be m(-1). What is d(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.01483 months in decades?\nAnswer: 1.56679025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Let u = 0 + 8. Let b(s) = 6*s**2 + s. Let o = -8 - -5. Let w(x) = o*b(x) + u*i(x). What is w(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*t - 52 - 88, t = 2*w + 13. Let u = -6 + t. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 281*f**3 - 2*f - 282*f**3 - f + 6 + 3 to g*f + u*f**2 + m + a*f**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 506\/156 - (-14)\/182\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 7. Suppose 4*m + 12 = -2*g + 2, 0 = 4*m + g + 5. What is l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*n**3*v**2 - 260*n**3*v + 2*n**2*v**4 + n*v**3 wrt v.\nAnswer: 82*n**3 + 24*n**2*v**2 + 6*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.051, 0.2, -2\/9, 0.22?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:15 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 2, h: 1, b: 1, t: 1, w: 1}. Give prob of sequence dvtv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 4) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 - 3655*c**2\/6 + 1111009*c\/3 + 2229332\/3.\nAnswer: (c - 2884)*(c - 773)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230489851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 317052 or 317051?\nAnswer: 317051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - -0.1. Sort -4, z, -3\/2.\nAnswer: -4, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*i - 1164758 = 1831018 - 235616. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 799969103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 113960.3 and -9?\nAnswer: 113969.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -5, -0.06.\nAnswer: -5, -0.06, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.62 - -0.036448153.\nAnswer: -6.583551847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from bellr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -1\/59, -0.06, -0.2?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*x + 243 - 707 = 0, 2*y - 2*x = 232. What is the third smallest value in y, -3, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -336 + 91*c**2 + 212 + 5*c**2 - 12*c**3 - 148*c - 2*c**4 + 190 = 0?\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 2*m**4 - m**4 + (1 - 3*m**3 - 1)*(0*m - 3*m + m).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/5)\/((-5)\/25). Let m = 0 - i. What is the nearest to 2\/5 in 4, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8393531*j*z - 298538*z + 9 wrt j.\nAnswer: 8393531*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37597 is divided by 2685.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, b: 9, o: 6}. What is prob of sequence pooo?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2218 + -2217.7. Sort n, 1.5, 2\/5 in ascending order.\nAnswer: n, 2\/5, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + 1)\/((-18)\/(-63)). Let f = 70 + c. What are the prime factors of f?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 15*n**2 + 25*n + 16. Let z be y(13). Let m(s) = -s + z*s + 1 + 3*s - s. Determine m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879395670 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 1440?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f - f - 6*f + 12. Let t be i(8). Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3 - 22*n + 535 + 36*n + 68*n**2 - 12749 - 16*n with respect to n.\nAnswer: -6*n**2 + 136*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 2*i**4 + 2*i**2 - 247*i**3 - 6*i + 245*i**3 to the form y*i + v + t*i**4 + f*i**2 + j*i**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Suppose -4*i - 32 = 73*d - 74*d, 5*i + 46 = 2*d. Suppose -a + d = u. Solve a*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmvz when four letters picked without replacement from wvzrm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -330 + 313. Which is bigger: x or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18072811*k**2*w - 136*k*w + 120*k - 3*w - 12 wrt k.\nAnswer: -36145622*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -356 * -3060025.\nAnswer: 1089368900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -40\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 5120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4, -26\/103, -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b - 1491?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 9 - -4) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305 (base 9) to base 6.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.002 + 0.347. Let z = -0.245 + n. What is the closest to -1\/3 in -0.1, 0.03, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3323 + 3219 = -13*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 843, 607, 379, 165, -29, -197?\n\"Answer: u**3 - 2*u**2 - 237*u + 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-16\/7)\/t)*t)\/(t*t**2\/t))**(1\/10) assuming t is positive.\nAnswer: t**(23\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4518120 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 25*u**2 - 106*u + 89. What is r(23)?\nAnswer: -3407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 57*y = 0. Let j(x) = x**3 + 3*x**2 + 3*x + 3. Let q be j(-2). Let p be (4\/(-6) + q)*9. Solve y*t = 5*z + p*t - 4, -4*t + 11 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, z: 6, p: 2}. What is prob of picking 2 o?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 6461710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 8 = -d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1214 (base 9) to base 11.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 - 353*t**2 - 1555*t + 41743. Calculate q(121).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1200)*-1)**2*-5*-6*-5.\nAnswer: -360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:26 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2985 (b) -2 (c) 3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984154?\nAnswer: 2, 41, 24197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 3. Let g(t) = -2*t + 8. Let q(u) = 4*g(u) - 11*z(u). Suppose l - 651 + 655 = 0. Determine q(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.95695 and 0.15.\nAnswer: -0.7435425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 5 + 13)*(2*a - 3*a + 0*a)*(4 - a - 4)*(1 + 1 - 1) as v + f*a + c*a**2 and give c.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.17 (b) -5 (c) -2 (d) -6 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002347 is divided by 1236.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -0.0520658.\nAnswer: 5.0520658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-o + 0*o + 2*o) - 3*o + 0 + 0 + (-3*o - o + 3*o)*(1 + 1 + 1) + 2 - 2 - o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/((15\/(-12))\/(-5)). Let a(o) = -2*o + o + o**3 - 4 - 2. Let d be a(0). Put v, 0, d in descending order.\nAnswer: v, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -2 - (8 + -7 + 32). What is the tens digit of (-1872)\/b*16\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 129, 288, 511?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (870\/50 - 17) + 1\/(-240) and -103\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0*j**4 + 1\/60*j**5 + 0*j**3 + 5\/336*j**8 + 0*j + 0*j**7 + 0 - j**2 + 0*j**6. What is the third derivative of l(m) wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*c + 118*c - 439 = -92*c + 23 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3451 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1586.\nAnswer: 2\/793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (308\/100 - 3)\/((-4)\/(-20)). Which is smaller: g or 1.7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2.94. Let x = r + -0.04. Is x less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -103, -202, -301, -400, -499?\n\"Answer: -99*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**3 + 263*i**2 - 20*i + 62. Calculate c(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1463 + -1461. Solve 78\/7*u**t - 18\/7*u**3 + 24\/7 - 80\/7*u = 0 for u.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 46495.043?\nAnswer: 32546.5301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 - -0.175.\nAnswer: 1.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/180)\/(1\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -0.01, 3 in decreasing order.\nAnswer: 3, -0.01, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 970052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.56 times 479003?\nAnswer: -1226247.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24945 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 5. Suppose -5*v - 27 = -3*q, -3*v + 4*q - 29 = -q. Let s be b(v). Calculate the greatest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8908, -35396, -79542, -141346, -220808?\n\"Answer: -8829*w**2 - w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*v - 4, -l - 295 = v - 291 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -20 - 88. Suppose 0 = 3*c + 6*c + s. Let i(d) = d**3 + 7*d**2 + 7*d + 2. Give i(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73618827 and 159409?\nAnswer: 1251520059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 3:03 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**4\/24 - r**3\/6 + r**2 - 1188. Let h(j) = 8*j - 1. Calculate 5*g(c) - h(c).\nAnswer: -3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 2, e: 5, a: 1, b: 1, u: 5}. What is prob of picking 2 u and 1 b?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31400054 (base 6) to base 10\nAnswer: 917602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/51318 and 49\/11170218.\nAnswer: 33510654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 y when four letters picked without replacement from yyyyynyynyyyy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245031 (base 7) in base 3?\nAnswer: -22021001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i. Let l(c) = -11*c - 58. Let s be l(-6). Suppose -3*d + s = -13. Let h(q) = d*q + 13*q - 24*q. Calculate v(h(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 355 - 359, t = 5*a + 22039. What are the prime factors of t?\nAnswer: 2, 23, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, and 2 t when four letters picked without replacement from {z: 2, n: 2, t: 9, y: 1, s: 4, w: 2}.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/(-2)*-10 - 8. Is 1 + 33\/(-22) - 31366\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198 - -307. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16)*(-3)\/(-9).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3 and -43\/25829821?\nAnswer: 77489463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518851 is divided by 7551.\nAnswer: 5383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636349 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-60)\/16)*(-19)\/((-2166)\/(-15))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-14))\/(24\/16)*7. Let w(t) = t**2 + 5*t + 4. Give w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, k: 3}. Give prob of sequence kka.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1406 (b) 2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 1040*d**2 + 2060*d.\nAnswer: 5*d*(d + 2)*(d + 206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(65) + sqrt(65))\/sqrt(5) + ((-1*sqrt(65))\/sqrt(5))**2 + -4)*5.\nAnswer: -5*sqrt(13) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + 2 + 5 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f**2 - 2*f - 15*f**2 + 28*f**2 + f**3 to the form x + q*f**3 + i*f**2 + b*f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + 532\/20. Suppose 0 = 4*t - 403 + 343. Suppose b = w - t. Does b = 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/285? (a) 2\/21 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**2 - 4*g + 7. Let h be y(-7). Let n = h + -224. What is n rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r + 3. Suppose -3*q - 16 = -5*q. Suppose 7*i = q*i - 11. What is the least common multiple of i and x(6)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/3875337 and 125\/6?\nAnswer: 7750674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -203\/3, 44\/131?\nAnswer: 44\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4163? (a) 0.1 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yywyywywwywwywyyww.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1198*s + 59896. Determine f(50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - -11)\/(468\/467 - 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.1155\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23893 = 10*x - 5447. 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 the common denominator of -13\/120 and -69\/4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 1. Let q be f(-1). Suppose -v = -4 + 71. Let m = v + 73. Solve -m*o + 3*o - q = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6757324?\nAnswer: 2, 7, 241333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 36. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 n when three letters picked without replacement from hhihxxnxhhxhhxxxhx?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -343? (a) 2 (b) 1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552236199.\nAnswer: 3, 191, 963763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6 - (-2 - 48)) + -21\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -9*f - 20. Calculate the highest common divisor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 863484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1183?\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.173.\nAnswer: -0.0865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a - 10*a - 4*a + 113 - 73. Let p be ((-20)\/6)\/((-8)\/12). Let w be g(p). Solve w = 2*k - k + 3*u - 6, -2*u + 4 = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 + -183.79. Let t = 5.79 + w. Let o(z) = z**3 - 4*z**2 + 4. Let a be o(4). What is the closest to 2\/9 in t, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let x be -9*y\/6*3. Calculate the common denominator of 1 + -3 + (-50)\/x and -40\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154533464?\nAnswer: 2, 1481, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111.108 + 111. Round i to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Suppose u*c - 42 = 278. Let v be (-18 + 6)*(-1 + (-4)\/6). What is the highest common divisor of c and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {r: 8, b: 4, p: 5}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 12 = -10*b. Let q(n) = n - 1. Let x(y) = -2*y + 1. Determine b*x(o) + 3*q(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -796 smaller than -796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 8*a**2 - 47*a - 158. Calculate d(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609545 is divided by 33862.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehehycee. What is prob of sequence ehe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45690 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108124 - 52627757.\nAnswer: -52519633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6536\/192 + -34)\/(2\/16). Suppose -4\/3 + g*t**2 + 4\/3*t - 1\/3*t**3 = 0. Calculate t.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 8 + (-105 - -112) + (0 - 6) + -13.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 723949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 + 118. Let z = 41.0000164 + t. Round z to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1560\/11 = -23\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(1\/1))\/1. Suppose 4 = 2*o - 2*c, 4*o - 2*c = 1 + 11. Is (u + o)*(-19)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k**3 - 1\/10*k**5 + 191*k**2 - 1 + 0*k + 133\/12*k**4 + 31\/120*k**6. What is the second derivative of s(f) wrt f?\nAnswer: 186*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 8*k - 2. Let f = 17 + -4. Let n be ((-7)\/7)\/((-2)\/(f*2)). Suppose 17*u - n*u + 36 = 0. What is y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 14819 (c) 2\/1417 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 70*a + 3207 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15*(13125\/770)\/(-15)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 2769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 60480*r + 34488000.\nAnswer: 5*(r - 11496)*(r - 600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -212111001202?\nAnswer: 212111001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5378611765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-15))\/((-22)\/(4620\/(-9))).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*o. Suppose o = -2*m + 5*a - 36, 4*a - 2 + 18 = -4*m. Let f be ((-76)\/24 + 3)\/((-2)\/m). Which is greater: -1\/26 or f?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 6*j + 11. Let u = -7 - 1. Let v be (24\/j)\/((-2)\/u). Does -6 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -5\/6 (c) 3\/4 (d) 8 (e) 9 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 104 + ((-140)\/10 - -15). Calculate the greatest common divisor of l and 840.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.3 - 0.13?\nAnswer: 24.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 553192000 to the nearest one million.\nAnswer: 553000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 20, 3, -1.\nAnswer: -1, 3, 20, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15774091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*l**2*v**3 - 4*l**2*v**2 + 2*l*v**3 - 33*l*v**2 + v**4 wrt v?\nAnswer: 66*l**2 + 12*l + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32666939.\nAnswer: 1279, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 2, e: 3, f: 13}. What is prob of picking 1 z and 2 w?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**3 + 7*w**2 + 9*w - 9. Let h(f) = -6*f**3 - 3*f**2 - 4*f + 4. Let a(u) = -2*b(u) - 5*h(u). Let j = 55677 + -55675. Determine a(j).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 + 9 = 0. Let x be 20\/(-6)*w\/(50\/12). Solve -z - 10 = 3*b - 5, 25 = -x*b - 5*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 5*v + 1. Let w(a) be the first derivative of 10*a**3\/3 + 12*a**2 + 4*a + 128. Give 14*h(c) - 3*w(c).\nAnswer: -2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.86895 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {v: 3, a: 15}?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 54*s - 57*s + 5*v, -2*s + v = -59. Suppose 0*z - z + 5*d + 187 = 0, 2*z - 2*d - 366 = 0. Calculate the highest common divisor of s and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/10306800 and 81\/560.\nAnswer: 10306800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293972?\nAnswer: 2, 7, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*d + 8, -5*l + d + 87 = 95 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 4*g + 3*c + 29, 2*c = -2*g + 2. Let o(n) = n**2 + 2*n + 1. Let x be o(-3). Suppose -x*l + 15 = l. Sort 2, g, l in decreasing order.\nAnswer: g, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6038 is divided by 2857.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Let a be (-1298)\/(-920) - (7 - 11)\/(-4). Let p = 1\/92 - a. Put v, 12, p in descending order.\nAnswer: 12, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*h - 2*h - 22 = 0, -2*u + 2*h = -6. Suppose u*x = 20 + 28. Solve 0 = 3*v + 4*f + x, -2*f = -5*v - 7*f - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**2 - 143409*n - 35853.\nAnswer: 3*(n - 11951)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 12*b**2 - 3*b + 2. Determine d(-12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.88 + -2. Let l = u + 0.18. Let x = l - -0.94. Which is the nearest to -1? (a) -2 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4 = 2*i, -3*n = -621*i + 629*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167635997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 80*v - 77*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*z + 11*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 183945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 2*f**5\/15 + f**4\/8 + 34*f**2. Let p(x) = x**2 + x. Let n(a) = 3*p(a) - u(a). What is b in n(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11707 - 11695. Solve 2*z + 5*h + 41 = 0, g*h - 13*h - 10 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -1507477823.\nAnswer: -1507477819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -45*o. Let b(a) = 4*a + 12551. What is b(u(l))?\nAnswer: -180*l + 12551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*o + i, 2*i + 39 = 5*o - i. Let m be -13 + 2 + 5 + -4. Let z = m + 24. What is the greatest common divisor of z and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**2\/3 + 31110344*i\/3 + 60490843987396\/3 = 0.\nAnswer: -3888793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-220) + ((-342)\/(-22))\/3. Suppose 3*z - 3 = 0, u*l + 4*z + z - 85 = 0. Calculate the least common multiple of 20 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -36.\nAnswer: -23\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -694 - -1186. Calculate the highest common divisor of 132 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 6*r**2 + 10*r - 1. List the prime factors of g(-6).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79711 and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4 + 4*m - 2*m - 4*m + m. Let q be c(-7). Solve h = q*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b666 (base 16) to base 4\nAnswer: -1123121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j**3 - 2*j - 2. Let g be s(-2). Let z = 36 + g. Suppose 2*y = -0*y + z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3712 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 2, y: 1, o: 3, s: 5, r: 3}. Give prob of picking 1 y and 2 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-20)\/58) + (-135)\/(52650\/312). Let q = 2 - -2. Let i be 8\/12*18\/q. Solve -5*p = 4*j + 9, i*p = t*j - 0*p + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 4*w - 48*w + w**2 - 3*w to the form p + z*w + g*w**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 64*b**2 - 5*b - 11. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233 + -536. Let i = -303.000306 - n. What is i rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -2 (c) -268\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -47910 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:23 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:39 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30386783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times -17?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15*4)\/(8\/100).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (1*-2*sqrt(77))\/((sqrt(176) - sqrt(176)*2 - sqrt(176)) + sqrt(176))))**2.\nAnswer: 125*sqrt(7) + 2675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7333 (base 8) to base 12.\nAnswer: 224b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s - 8. Let j(w) = -2*w**2 - s*w**2 + w**2 + w**2. Let u(y) = 3 - 3 + 2*y. Give j(u(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.7 and -3041854269920.\nAnswer: -3041854269925.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27761029 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 times 4864?\nAnswer: -272.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.81868557 to two dps.\nAnswer: 10.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11740.9 plus 2516?\nAnswer: 14256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -124236340.\nAnswer: -1\/62118170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-24)*(-3)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 - 1399\/5. Let j be 3 - 2*5\/20*2. Which is the closest to j? (a) l (b) -1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.92959437 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2)\/(-4) - -10. Let q(l) = -4*l - 62. Let k(g) = 7*g + 114. Let n(b) = 10*k(b) + 18*q(b). Let r be n(u). Is 5\/2 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 234*c**2 - 39*c - 6. Determine f(2).\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.04. Let m = n + -0.12. Let t = -0.37 + m. Sort t, 1\/3, 0 in descending order.\nAnswer: 1\/3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, 0.06, 1, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42837\/14 + 12225\/4. Find the common denominator of -61\/28 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 13 - 33 - 64*k.\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(2*u + 0*u - u) + (1 - 2 - 1)*(0*u - 5*u + 0*u) - 90 + 17*u + 90 to m*u + n and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 142?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38519154*k**3 - 22554011 wrt k?\nAnswer: 115557462*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 3:21 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 - 19*z**4\/12 + 124*z**3\/3 + 263*z**2 + 2. Let f be w(30). What is the greatest common factor of 1112 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -1\/168*v**8 + 0*v**5 + 0*v**3 + 0 - 2*v**2 + 0*v**6 + 0*v**7 + 0*v + 1\/6*v**4. What is the second derivative of s(p) wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 + 39. Let m be h(0). Suppose g + 37 = m. Solve -q - 3 = -g*q, -5*q + 9 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/2 - (1 - 2)) + 61. Calculate the highest common divisor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 903 - 887. Let o be 4 - (36*2)\/(-2). Calculate the highest common divisor of o and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 849.03206 - 849. Round r to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9552524 and 16326.\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 3*z**6 - z**4\/4 + 44*z**3\/3 + 104. What is the third derivative of w(p) wrt p?\nAnswer: 1080*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 6 - (-3 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1638 by 6.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6430 + -6422. Solve 0 = -2*c + n - 8, -5*c + x*c + 25 = -5*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 47, 1, -219 in ascending order.\nAnswer: -219, -2, 1, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 995, 901, 729, 479, 151?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.3, 20, -4, 12, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1422*z - 304307. Calculate d(-214).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5936 by -6.\nAnswer: 2968\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2221*r**2 - 132*r + 14. Let m(z) = -2229*z**2 - 132*z + 18. Let y(d) = -5*a(d) + 4*m(d). What is the second derivative of y(h) wrt h?\nAnswer: 4378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 7. Let i(r) = -3*r + 12. Let a be i(6). Let k be 12\/(2 + a)*-3. What is the units digit of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4851172808?\nAnswer: 2, 41, 14790161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867831 to the power of 1\/2, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.636841 to 1 decimal place.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 387800b?\nAnswer: -3878013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4.3. Let v = -30.74 + 31. Let p = v + -0.06. Which is the biggest value? (a) p (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 + 4*s + 6. Let u be m(-5). Is (-648)\/(-21) + (-2)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**2 + 31\/3*m - 22.\nAnswer: (m - 2)*(m + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6421?\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 6\/4)*214. Let w = 186 - i. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/3780 and 181\/5040?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Let u = -549 + 262. Let q = u - -286.7. What is the fourth smallest value in q, -0.18, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 + -106. Suppose n = t*n + 6. What is the third smallest value in n, -12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (46 - 45)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/2042950 and -15\/1144052.\nAnswer: 28601300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1534*l - 702. What is the ten thousands digit of o(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 61, -5, -2, -48, -4 in ascending order.\nAnswer: -48, -5, -4, -2, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21716854 and 566?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {f: 12, z: 7}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from rvolzlllv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389939 by 4.\nAnswer: -389939\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 235 = -4*u, 4*d + 61 = 6*d - 5*u. What is the first derivative of -79*l + l**3 + 39*l - 17 + d*l wrt l?\nAnswer: 3*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*z + 23. Suppose o + 5*u + 5 = 0, o + 5*u = 3*u + 4. Let b = o - 6. Solve -5*f + 0*f = 2*r + 27, -z*f - b*r - 19 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3921042306?\nAnswer: 2, 3, 14461, 45191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1660742 and 9572?\nAnswer: 3321484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 63. Let a(w) = w + 32. Give 5*a(s) - 3*d(s).\nAnswer: -s - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 1 + sqrt(4032)*-1 + -3*sqrt(112) + -2)**2.\nAnswer: -144*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:00 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 62955265242065?\nAnswer: 62955265242069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*d + 4 + 2, -2*j = 5*d - 6. Suppose 33 + 0 = j*r. Suppose 0 = -3*b + r + 34. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03606 and -198218038731.\nAnswer: -198218038730.96394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 11*v = -6. Solve 3*y = 4*y + 4*w + 5, v = 3*y - 5*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 31.\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2 + 1277702*t = 0.\nAnswer: 0, 638851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66948626 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158232110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -298*b**4 - 34*b**2 + 3*b + 1. Let k(n) = 602*n**4 + 67*n**2 - 7*n - 2. Let d(f) = -7*i(f) - 3*k(f). Find the third derivative of d(j) wrt j.\nAnswer: 6720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 5b6b0c?\nAnswer: 5b6b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*((-2*sqrt(75)\/sqrt(3))\/(sqrt(5) + sqrt(135)\/sqrt(3)))**2.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l + 1. Let y(b) = -b**2 + 13*b + 15. Let o be y(14). Let m(d) = 6*d**2 + 9*d + 4. Let h(r) = o*m(r) + g(r). Determine s, given that h(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.2 - -4.6. Let w = -2153\/4697 - -20\/671. Which is the smallest value? (a) -2\/3 (b) 3 (c) w (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 160?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/(-42) + -2 - (-2)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8912 - 4503. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*h - 103*h - 32*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/6)\/s*s*(s*s**(-1\/2)\/s*s)\/s)**(5\/6) assuming s is positive.\nAnswer: s**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*v**4 + 0 + 0*v - 2\/11*v**2 - 4\/11*v**3 = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k**2 - 2*k + 205. Let l(t) = 11*t**2 - 2*t + 205. Give -6*h(q) + 7*l(q).\nAnswer: -q**2 - 2*q + 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 16*j + 66. Determine c(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + r**2 - r + 2. Let a be y(3). Let z = a + 77. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 4. Let s be i(-2). Let t be (s + 1)\/(3\/(-9)). Let o(h) = -h**3 + 4*h**2 - 2*h + 4. Calculate o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -155603970*c*d - 394385892*d wrt c.\nAnswer: -155603970*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 120.61?\nAnswer: -36.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-74))\/((-852)\/1136)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + -113cce?\nAnswer: -113cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1024)\/512 - ((-34)\/(-57))\/((-6)\/18).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 38. Let u be q(-10). Let k = -14 + 9. Sort -4, k, u in descending order.\nAnswer: u, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(1\/10)*n*n\/n**(-4)*n\/(n\/n**(2\/15))*n**(6\/5)\/n*(n*n**(-1\/5)*n*n**(-6)\/n)\/(n*n**2*n**(4\/9)) assuming n is positive.\nAnswer: n**(-19\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, -2, 60, -3\/7 in descending order.\nAnswer: 60, 3, -0.2, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -317. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/7 of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 + 1288*i**3 - 55210*i**2 - 55773652*i - 111316128 = 0.\nAnswer: -168, -2, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2. Let c(k) = 3*k**2. Give c(h(a)).\nAnswer: 300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-6))\/(2\/4). Let t = 2416 - 2412. Let a = x - t. Which is smaller: a or -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 50*h + 48. Let x be r(-4). What is the smallest value in 2\/5, -6\/59, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 6*j + 24 = 2*j, 0 = 2*j + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242210 + -1121?\nAnswer: -243331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/2 + -14. Let j = 60 - 59.46. Let k = -0.14 + j. Which is the second biggest value? (a) q (b) k (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60435.9 and 14.29.\nAnswer: 60450.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 21*c + 16 = -r, 0 = -2*c + 2*r + 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101229646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 179727*o - 4491300.\nAnswer: -3*(o + 25)*(o + 59884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -9\/2*g**2 + 0*g**3 - 5*g + 0*g**4 - 16 - 13\/20*g**5. Let t(h) be the first derivative of x(h). Differentiate t(p) wrt p.\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/734 (c) -21.4 (d) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 10:02 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 4*q**3 + 2*q**3)*(-q + 2*q + q + (5*q - 3*q + 0*q)*(-1 + 3 + 0) + 2*q - 3 + 3 + 6*q - 4*q + 2*q).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:51 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - -5) + (-11 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30466096 to three dps.\nAnswer: 0.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2\/3 (b) -5\/44 (c) 0.1 (d) 0.2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20264*k*q**3 - 6*k*q**2 - 14623*k*q - 16*q**2 - 417*q wrt q.\nAnswer: -121584*k*q - 12*k - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 minus 608.8144025?\nAnswer: -606.5144025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13122 is divided by 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 12*w. Let v be h(-6). What is the tens digit of (-20)\/60*(v - 39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*s**2\/9 - 10514*s\/9 - 38744\/3 = 0. What is s?\nAnswer: -87\/8, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 6. Let t be l(-5). Let w be (0 + t)*(0 + -2). Solve -w*n - 11 = 5*m + 1, 3*n + 2*m = -7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Let g = 3072.76 - 3082.76. Sort s, -14, g in descending order.\nAnswer: s, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.4, -46\/17 in ascending order.\nAnswer: -46\/17, 0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 23. Let i = 0.2 + 0.3. Which is the biggest value? (a) -0.2 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1459 - -1465. Solve -11*k = -n*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*p - 12*p**3 + 2*p**2 + 109*p - p**3 - p**3 + 0*p**3 + (-p + 3*p - 3*p)*(-p**2 + 0 + 0) to the form w*p**3 + f + t*p + j*p**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - -1) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 11*c = -2*k - 74, 2*k + 5*c + 14 = c for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -33*i - 31. Let k be q(-1). Let x(a) be the first derivative of -1 + 0*a**3 + 0*a**k - 1\/10*a**4 + 0*a. Factor x(c).\nAnswer: -2*c**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1508 and 580?\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-60)\/(-70) - (-1)\/7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 66347264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.09 - -39.09. What is the fourth smallest value in -4\/3, -0.02, c, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 = -5. Let j(m) = -3*m**2 + 7*m + 16. Let k(x) = -2*x**2 + 5*x + 11. Let i(s) = -5*j(s) + 7*k(s). Let r be i(v). Solve 3*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 74. What is the least common multiple of o and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -411 - -9036. What is the greatest common divisor of g and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -b9a31?\nAnswer: -b9a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 13. Let t be f(-11). Let r be (6\/4)\/(t\/4). Solve -r*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 10, 1, 4 in descending order.\nAnswer: 10, 4, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e9d + 47ec?\nAnswer: 384e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-20))\/(-6)*1*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.776611s in weeks?\nAnswer: 0.0009222496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/40 - i**4\/12 - i**3\/6 + i**2. Let s(u) be the first derivative of m(u). Is 5 a factor of s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -432\/7. Let m(t) = -t - 4. Let h be m(-3). Let p(j) = -j**2 - j + 1. Let z be p(h). Which is the nearest to z? (a) n (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 88 = x. Suppose x*n = 108*n - 54700000. What is n rounded to the nearest one hundred thousand?\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43062708 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 82 - 10*g + 162 - 244.\nAnswer: -g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:50 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 24*y**2 - 25*y. Let j be k(-25). Suppose 8*w - 9*w + 12047 = j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*t**2 - 225*t**2 - 1036*t**2 - 3*t + 3*t.\nAnswer: -1534*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 188. Does 20 divide 0 + s - (1 + 2 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjjffffffmffkk. Give prob of picking 1 f and 1 k.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 20 + 25. Let q = 87 + -79. Suppose -q*c + 7*c = -120. What is the greatest common divisor of c and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 3*y**2 + y - 2. Let r be (5 - 1 - 10)*(-10)\/4. Suppose f + 4*u = 17, 4*f - 5*u = -f - r. Let p(g) = g**2 + g - 1. What is f*q(x) - p(x)?\nAnswer: x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16906919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**5\/20 - 5*t**4\/12 + t**3\/2 + t**2 - 21*t. What is i(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7213? (a) -4\/7 (b) 0 (c) -3 (d) -5\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 + 7*h + 16. Let a be p(7). What is the greatest common factor of 186 and a?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208536 = -52*g + 101*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(175) + -5 + 3*(sqrt(175) + 5 + sqrt(175))))**2*2 + 2.\nAnswer: 22400*sqrt(7) + 277602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 77.88159 decades?\nAnswer: 0.7788159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -15. Let h = 1 + w. Which is the third smallest value? (a) -1\/4 (b) -1\/10 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.457, 3, -609, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367552 divided by 231.\nAnswer: 367552\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065001686?\nAnswer: 2, 21611, 70913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, -9, 1, -40.\nAnswer: -219, -40, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -583940)\/(-2 + -5 + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/28)\/(41\/(223368\/(-227)))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4504, -4844, -5184, -5524?\n\"Answer: -340*d - 4164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102309 (base 10) to base 4.\nAnswer: 120332211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -482636 minus -0.506?\nAnswer: -482635.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1216) + 1)**2 + sqrt(19) + (5 + sqrt(19)*2 - sqrt(19))).\nAnswer: -2444 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9096 rounded to the nearest one hundred?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4 (c) 0.0481 (d) -1\/9 (e) 0.9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17022\/6927954)\/(4\/(-11)).\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 5. Let b be (d\/2)\/((-2)\/(-16)). Solve 2*a + b*l = -6, 17 - 44 = 5*a - 2*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7\/(-8))\/((-1365)\/78) and 2\/(-4)*(-79)\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n + 2*n)*(4*n + 0 + n + 1).\nAnswer: -5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = -30. What is the hundreds digit of (-154)\/35 + 4 - 1822\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 + (-4)\/(-2) - 2 - -4 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*6\/6)\/(4\/20). Solve 0 = f - 3, 4*p = f + 2*f - y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107268*a**3*p**2 + 2*a**3 + 49*a**2 - 98*a*p**2 + a*p wrt a.\nAnswer: -643608*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -351079927.78 rounded to the nearest ten thousand?\nAnswer: -351080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242070?\nAnswer: 2, 3, 5, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/2)\/((-5)\/10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/24)\/(10\/(-6)). Does m = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*b - 2, -2*k + b + 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j**3 + 90*j**2 + 27*j - 24*j**3 - 147*j**3 + 36*j**2 + 36*j**4 - 12 + 0*j**4 = 0. What is j?\nAnswer: -1\/3, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**2 + 119*w - 59. Let g be l(-33). What is the first derivative of 4987 + 2*v**2 - g + v**2 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65654.156 rounded to the nearest ten?\nAnswer: 65650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41011563 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 107*v**3 + 6*v**4 - 109*v**3.\nAnswer: 2*v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t**2 - 19620*t - 7. Let h(m) = 2*m**2. What is c(h(i))?\nAnswer: 48*i**4 - 39240*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 969065533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63))**2 + -5 - (-5 + (sqrt(28)\/sqrt(4))**2 - sqrt(7)).\nAnswer: sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3916891 - 0.1682078. Let h = d - -0.2598972. Let u = 0.3 + h. Round u to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/130)\/(32\/(-10))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 113 (b) -0.1 (c) 5\/3 (d) -2\/7 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 0\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393913163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 8*o**2 - 7*o + 2. Let t(g) = -g**3 + 8*g**2 - 7*g + 3. Let n(z) = -5*t(z) + 4*x(z). What is n(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -65, -0.5, -11, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 - 21 = 0. What is the first derivative of 54 + f*a**4 + 79 + 14*a**4 + 0 wrt a?\nAnswer: 124*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j)**(-2\/53)\/((j*j*j**(-4))\/j*j*j*(j*j\/(j\/j**(1\/6))*j)\/j*j)*(j**(-1))**(-16\/3)\/(((j*j*j\/j**5)\/j)\/((j*j**(2\/7)*j)\/j)) assuming j is positive.\nAnswer: j**(18983\/2226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*j = 4, 22 = 2*x - 3*j - j. Suppose 4 = x*z - z. Solve z*b = -2*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -51. Let y = 24 - 14. Suppose t = -y*g + 12*g. Solve -m - w + 1 = g, 4*w + 6 = 2*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -8\/5 (b) -2 (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgggllg. What is prob of sequence ggll?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011799371 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + 3*t = 3, 2*t = 5*j + 1827 - 1825 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.02 - -3. Let q = -109.18 + 109. Let l = q + f. Is 2 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1074 divided by -4.\nAnswer: 537\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 - (-6)\/2). Differentiate -y - 6*z + z - 3 + 3*z with respect to z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42622, 170476, 383562, 681880?\n\"Answer: 42616*g**2 + 6*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1960 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15709, -3, 1 in increasing order.\nAnswer: -3, 1, 15709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 + -0.05. Which is the closest to p? (a) -3 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 7*i + 4*s + 4, -3*s - 9 = 0. Suppose 5*a - n = -2, 0*n + 4 = -a + 2*n. Factor a + 1\/3*y**4 + 0*y + 1\/3*y**5 - 1\/3*y**3 - 1\/3*y**i.\nAnswer: y**2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323637?\nAnswer: 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 16*v - 10. Calculate a(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*j - 72 = -n, j = -3*n + 54. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)*q*q*q**(-13)*q*(q**3)**(3\/11))**(4\/11) assuming q is positive.\nAnswer: q**(-797\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4*g**2 + 287*a**4*g - 4*a**2*g + 113*a*g**2 wrt a?\nAnswer: 48*a*g**2 + 6888*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 3*a + 0*a**2 + 7\/12*a**4 + 0 + 0*a**3. Let r(i) = i. Let n(l) = -3*l**2 - 9*l. Let f(z) = -n(z) - 9*r(z). What is p(f(o))?\nAnswer: 63*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k - 1)*(k + 0*k - 2*k)*(2*k + 2 - 2) - 2*k**3 + 2*k**3 - 23*k**3 + (2*k**3 - k**3 + 2*k**3)*(0 - 1 - 1).\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 35*j + 0 - 1 + 0 - 2.\nAnswer: -38*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91051*a = 91599*a - 35620 for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((20 - 1) + -17)\/(4\/(-18))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15002483964 plus -5.1?\nAnswer: -15002483969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*t - 790 = 122*t. Suppose 0 = -3*i - t + 94. Let r be (-70)\/(-2) + 0\/3. Solve q + i*p = 16, 5*p - r + 11 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 + 11*o**3 + 11*o**3 - 15*o**3 + o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 4. Let m be v(5). Let q(j) be the third derivative of 2*j**5\/15 + j**4\/24 - j**3\/6 - 3*j**2. What are the prime factors of q(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2813, -3889, -5003, -6161, -7369, -8633, -9959, -11353?\nAnswer: -12821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79.901 + 23.90123. Let s = 56 + d. What is s rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 2640?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -23. Let r = y + 23. Suppose 2*d + 2880000 = r*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 74\/(-12))\/(-12 + 551\/57)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:52 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (1 + sqrt(448) + 2 - sqrt(448)) + (2 + sqrt(448) + 3)*-1)**2.\nAnswer: 144*sqrt(7) + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48217\/4510 - 4\/451. Find the common denominator of z and ((-70)\/(-4))\/(-5) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/12 - 11*d**3\/6 - 6*d**2 + d. Let x be y(-9). Let g be (-4)\/x - 4\/6. Put 2, g, 6 in descending order.\nAnswer: 6, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*n + 60*n - 11975 = 52*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39448.\nAnswer: 2, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 y, and 1 p when four letters picked without replacement from {y: 2, p: 1, w: 4, b: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/840 and -39\/2?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3 - 9. Suppose -3*j + 8 = 2*b, -4*j - 2*b + 7*b + 26 = 0. Let x = t + j. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -343 + 347. Suppose 4*r + 73 = 5*r + s*u, 3*r - 5*u = 151. Calculate the remainder when 106 is divided by r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 2, y: 2, z: 2, q: 1}. Give prob of picking 1 z and 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*l**2 - 28 - 1759*l + 1759*l as i*l**2 + s*l + b and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -8.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 12. Let s be 1*(8\/h + -1). Let q = 7\/18 - s. Is q bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {o: 2, b: 3, h: 1, u: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-6)\/(-8)*(418 + -419). Factor -3\/4*w**4 + 3\/4*w + 3\/4*w**2 - c*w**3 + 0.\nAnswer: -3*w*(w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 - 9*g - 27. Calculate i(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -30541779\/67 greater than -455848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o - 50*o**4 + 143*o**4 + 1118*o**2 - 3*o - 1082*o**2 wrt o.\nAnswer: 2232*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 494 = 18*q. What are the prime factors of q?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 62. Suppose 3*a + 4*f - 2 = 21, -30 = -4*a - 5*f. Suppose 3 = -3*c - 3*q, q = -a*c + 14 - 3. Sort -4, v, c in decreasing order.\nAnswer: c, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + 1 + -1 + -1. Let s = c - 14. Let h be (s\/(-4))\/(1\/2). Solve -h*d + b = 0, -b = 3*d + 2*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 87259535 to the nearest 1000000.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 483.5999328 + 8.4052972. Let a = d - 492. Round a to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1555386458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c + 57*c - 20*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from vvx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -m + 48, 0 = 3*b - m + 64. Is -22 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1285843\/274320 + -2\/17145. Find the common denominator of s and 59\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -47. Let z(m) = m + 17. Let p be z(-11). Suppose b*l = -2*l + p. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*z - 5374 = -22454 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Suppose h = 2*z + 21. Let t be (-2)\/(-8) + 2\/z. Solve -3*n - 7 = -t*q - 5*q, 3*q + 15 = -3*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2256 divided by -564.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146954*i + 146953*i - y - 41 = 0, 199 = -2*i - 5*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:47 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f**2 - f**2)*(-f + 2*f**3 + f)*(-235 + 504 + 278) + f**5 - f**5 - 3*f**5.\nAnswer: -1097*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.78 * 1939.845\nAnswer: 1513.0791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 14*w + 27 = 0. Solve -4*c - w = d, -1 + 0 = 4*d + 5*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z**2 + 2*z - 2*z**2 + 0 + 0 + (-3*z + 2*z + 3*z)*(-z + 0 + 0))*(-2*z + 3 - 3).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 = -4*b, 2*b + 4 = -t - 0*b. Let f be t\/(6 - -2) + (-97224)\/(-96). Let r = f - 620. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 - 6. Let x(z) = 8*z**2 - 7. Let a(l) = 7*q(l) - 6*x(l). Let r(h) be the first derivative of -4*h**3 + 71. Calculate a(r(f)).\nAnswer: 144*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601*p**3 + 268*p**3 - 154*p**3.\nAnswer: -487*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*w**4 - 1343*w**3 + 26011*w.\nAnswer: 192*w**2 - 8058*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8*-45537.4.\nAnswer: -218579.52","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 714403 and 1840?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119147 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (1 - (12 + -11)) + -11 - -9 - 42?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let t(n) = 3*n + 5. Let s(d) = t(d) - 4*v(d). Let y(a) = -a**3 - 3*a**2 + a. Let m be y(-3). Calculate s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:22 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549059428.\nAnswer: 2, 37, 59, 227, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1139*i - 2430. Does 9 divide f(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + a + 16, 34*j - 31*j - a + 19 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -15. Solve r = -g + 5*w, 4*w = -g - 2*g + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.2 - -21.2. Let r = -2401\/3 - -805. Which is the closest to -0.1? (a) 0.4 (b) w (c) r (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1549 - 1678. Let h = 11489 + -11358.58. Let z = k + h. Round z to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t + 5. Let b(n) = -10*n - 3. Give -5*b(f) - 3*z(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.23 (b) -0.5 (c) 4664\/9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3200)\/600 + 4\/1. Which is the smallest value? (a) 3 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + x + (-3 + 2 - 3)*(0*x - 5*x + 3*x) + (-3*x + x + 0*x + (0 - 2 + 1)*(-2*x + 4*x + 0*x))*(-511 + 24 - 12).\nAnswer: 2005*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-2))\/(2\/8). Suppose -2*r = r - c. List the prime factors of ((4 - 9) + r)\/(1\/199).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 312\/119 + -47\/17. What is the closest to 0.1 in 11, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*5\/(-15))\/(-3). What is the closest to q in 2, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:26 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723390076.\nAnswer: 2, 180847519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*u**4 - 16*u**4 - 7*u**5 + (34*u**3 + 9*u**4 - 34*u**3)*(2*u - 6*u + u).\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 4177454.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1+-4.2487\nAnswer: -3.2487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.73343 milligrams in nanograms?\nAnswer: 4733430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {m: 1, w: 1, a: 1, v: 1, h: 1, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkmmkmk?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mclgy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m - 7 = 41*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2, 746, 10 in decreasing order.\nAnswer: 746, 10, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*((sqrt(104) - (sqrt(104) - 2*-1*sqrt(104)))\/sqrt(8) + -4) + -3.\nAnswer: -6*sqrt(13) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.3 (b) -327 (c) 5\/8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4*(-3)\/18). Let d(l) = -l**2 + 9 - b + 3*l**3 - 2*l**3. Let j be d(0). Solve 0 = -t - 5*g + 10 + 8, 0 = -t + 3*g - j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63188759 is divided by 5994.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (3 + -57) - 0\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 443 + -467. What is the third smallest value in z, 4, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 41*v**2 - 63*v + 2874. Calculate h(41).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-24)*56\/(-294)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - (-6 + 10)) + 10\/2. Suppose -18 = s - j*s. What is the second derivative of w**s - 36*w - 12*w**3 + 7*w - w**3 wrt w?\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5993*x + 5940*x - 2*p + 159, 3*x - 3*p = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 + -14.41. Let w = u - -14. What is w rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491.83 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/1110439 and 97\/1615184.\nAnswer: 17767024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/((-15)\/(-180))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8742768863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:55 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/54 and -81\/20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 5 + 109 + -52 - (1 + -9).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {l: 12, b: 3, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = p + p, -4*p - 20 = -3*h. Let n be (-21)\/(-112)*4 - (-9)\/4. Let m be (-1)\/(-3*10\/(-18)). Which is the nearest to p? (a) -4 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9) + -3 - 16\/(-72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*a + 129*a - 61710 = 0. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -4\/29, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 132 = -10*z. Let r = 52 + z. Let q = -1032\/11 + 94. What is the second biggest value in q, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 5*s - 9. Let k be z(-7). Solve b - k = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.146 - -3.054. Let m = 14.2 - q. Sort m, 4, 0.1 in increasing order.\nAnswer: 0.1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 (base 10) to base 13\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.03 (c) -12 (d) -3\/5 (e) 12.947\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28041 and 5216345.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*c*l + 6*c*s**2 + 1721*c*s - 5*c - 282*l*s**2 + 8*l*s + 23*l + 200 wrt l?\nAnswer: -10*c - 282*s**2 + 8*s + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/7, -0.2, 1\/2, -24, 7.7 in descending order.\nAnswer: 7.7, 5, 1\/2, 2\/7, -0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 2*i + 5*c + 86, -87*c + 155*c + 18 = 66*c + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 + 3*a - 6. What is j(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**9\/756 + t**6\/90 - 7*t**3\/6 + 4*t**2. Let k(y) be the first derivative of z(y). Find the third derivative of k(p) wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let w be (-23)\/m + (-3)\/12. Let p be 4\/w - 68\/(-12). What is the highest common divisor of p and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*x - 6 = -0*x + 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 46. Let v be (-3)\/9*3 + a. Suppose -v*g + 4*g = -d + 29, 8 = -2*d. Calculate the least common multiple of 30 and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 5*j - 14. Let k be s(-7). Solve k = -67*n + 64*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 108\/14. Let d(x) = -x**3 + 9*x**2 - 8*x + 6. List the prime factors of d(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-12 - (8 + -4 + -2 + 3))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6\/(x*x**(-3)\/x)*(x**(-1\/9)\/x)\/(x**(-2\/9)*x*x*x))**(-2\/11))**(-2) assuming x is positive.\nAnswer: x**(184\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 707929 and 707931 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g**(2\/3)*g)\/g*g)\/(g**3*g)*g**(-3\/8)*(g*g*g*g**4)\/g*g assuming g is positive.\nAnswer: g**(151\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 14*l**2 - 8*l - 23. Calculate the remainder when s(15) is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136 + 802 - 120*f**4 - 1096*f**4 - 557*f**4 wrt f.\nAnswer: -7092*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*a - 20. Suppose a*w - 49 + 19 = 0. Let k be (-5)\/w*8*6\/(-4). Solve -k*l + 7 = -n, n + 0*n + 5 = 3*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69125 - -3481?\nAnswer: 72606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-45) + -6*3\/(-27). Which is the closest to m? (a) 4 (b) 2\/5 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5372 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*l + 268 = 0, 3*u - l + 5*l = 200. Suppose -5*a + a + u = 0. Suppose -4*h + a - 6 = 0. What is the greatest common divisor of h and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 18. What is w(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/16452 and -79\/66.\nAnswer: 180972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 + f**4 + (0 + 2*f + 0)*(3*f**3 - 4*f**3 + 0*f**3) + (-f**2 - 2*f**2 + f**2)*(f - f + 2*f**2).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*g**3 - 3*g**4 - 270 - 860*g**2 + 14 - 208 + 860*g**2 with respect to g.\nAnswer: -12*g**3 - 99*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3096009?\nAnswer: 3, 7, 16381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**4 + t**3 + 12119*t**2 - 3*t - 2505841 wrt t?\nAnswer: 24*t**3 + 3*t**2 + 24238*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -48.4 times 0.5\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 304, -4, -2 in descending order.\nAnswer: 304, 10, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/11 - (-54)\/(-297). Suppose 4*c + 10 = -b*t - c, 0 = 2*t + 5*c + 16. Solve t*o + 8 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108066 and 48732?\nAnswer: 28313292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7941, -15908, -23875, -31842, -39809?\n\"Answer: -7967*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 287961492119.317 take away 5?\nAnswer: 287961492114.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 8*s + 4. Let w be z(-8). Is 11850 - w\/((-24)\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172.80024 - 0.04024. Let q = t - 175. What is q rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 558, 837?\n\"Answer: 279*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 11 + 6)*(1977*f**3 - 78*f**2 + 78*f**2) in the form w*f**3 + d + v*f + o*f**2 and give w.\nAnswer: -13839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 12 = -19*n. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3 - (23 + 9 + -7)) + -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 14 + 7 - (246 + -294).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127\/4 greater than or equal to 2\/44979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 = -12*m. What is the fourth smallest value in 0.2, -3\/22, -4, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.4, 32, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-15)\/12 - 3\/12. Let l be (3\/(-155))\/(3 - (-21)\/(-14)). Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-15350.33\nAnswer: 30700.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 + 30*u - 6. Calculate f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**3 + 25*t**2 + t**2 - 184*t**4 + 183*t**4 wrt t.\nAnswer: -24*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6*k - 24. Suppose k = f + f. Solve -a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from eessse.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344257876?\nAnswer: 2, 3, 195354823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2501 - 4120?\nAnswer: -11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207756 - -249709. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-8))\/((-1)\/2). Let r(t) = -t - 2. What is the remainder when 13 is divided by r(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 1 = 38*t + 335 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.9268838 to one decimal place.\nAnswer: -38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -w - 23138, -1666 = -u + w + 2964. What are the prime factors of u?\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*3*9\/63\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -20344?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.21098 - -0.01098. What is the nearest to u in -4, 0.8, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 532972604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -2)*(-8)\/(-6). Suppose m + 2*m = n*m. Suppose m = -c + 4*k + 181, c - 5*k + 29 = 207. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2779 and 23423.\nAnswer: 163961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(125)*-1 - sqrt(125)) - ((0 + sqrt(125) + sqrt(125))*-4 + sqrt(125)))**2 + (sqrt(500) + 1 + sqrt(500) + -2 + -1 + -2)**2.\nAnswer: -142484 - 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26176 - -26177. Let d(o) = -3 - 3 + 5 - 7*o**2. Give d(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 31*m + 111. What is the remainder when k(-2) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-21))\/(5\/(-35)). Suppose 0 = -t*d + 4*h + 20, -3*h - 2 = -2*h. Suppose -5*c - 25 = 0, -x - c - 4*c = d. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -872207\/90 smaller than -9692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 + 166. Which is the nearest to -1? (a) h (b) 3.6 (c) 0 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -412 + 778. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1311660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/7 (b) 152964 (c) -0.3 (d) 0.1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33568363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 65 (b) -2 (c) -4 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 0.427 (c) 0.2 (d) 2\/7 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2606621163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 24969.\nAnswer: 1\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -69.8. Which is the closest to -2\/23? (a) r (b) 4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11807 (base 10) in base 4?\nAnswer: -2320133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.9141 meters to millimeters.\nAnswer: 376914.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 312, 16, 0, 3, 1, -1 in descending order.\nAnswer: 312, 16, 3, 1, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 1. Let o(m) = -3518*m + 3. Let i(c) = -2639*c + 2. Let r(j) = -4*i(j) + 3*o(j). Let g = -12 - -6. Calculate g*h(q) + 7*r(q).\nAnswer: 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1584) + -1) + 2 + 1 + sqrt(1584) - (-2 + sqrt(1584) + sqrt(1584)*2*-3 + sqrt(1584)))*-3 + -4)**2.\nAnswer: -2664*sqrt(11) + 15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2*b. Let l(g) = 4*g. Let s be (-4)\/(-5)*(-100)\/(-8). Suppose 4*x + s = -6. Let d(z) = x*w(z) - l(z). Factor d(r).\nAnswer: -4*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*q + 1. Let l(i) be the third derivative of 13*i**6\/720 + i**5\/120 - i**4\/24 - i**2. Let t(s) be the second derivative of l(s). What is t(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*75.\nAnswer: -4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 9) to base 8.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.503 (b) -1\/48 (c) -1\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnntnmgnnnmnm. Give prob of sequence mnm.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 20, 5*u + 25 = 2*r. Let d = 1.7 + 0.3. Put r, d, 5 in ascending order.\nAnswer: r, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/11 + 11292*n\/11 - 7160188\/11.\nAnswer: (n - 602)*(n + 11894)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 14*j - 38. Let n be f(-16). Is 5 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 375 + -137. Let i = 240 - g. Let x = 56 - 394\/7. Which is the second smallest value? (a) x (b) 3 (c) 7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-709 - -712) + -18 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 20, 0.11, 1, 126, -1.1, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(0 + sqrt(128)))**2.\nAnswer: 10240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.2 in 0.8, -73, -3, 1, 0.4, 1\/69?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d)\/(d*d**(3\/2))*d**4*d*d**(-2\/13)\/d)**(8\/9) assuming d is positive.\nAnswer: d**(140\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a + 88. Suppose -4*v + 162 = 2*x, 5*x - 260 = -5*v + 160. Let y = x - a. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398732949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whgiwicg. Give prob of sequence gw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -779 * 1.519.\nAnswer: -1183.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9489 and 31.786986.\nAnswer: 9520.786986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 33 = -3*k. Calculate the lowest common multiple of k and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1481, -3049, -4617, -6185?\n\"Answer: -1568*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 29*o**2 - 4758 + 9520 - 4763 + 11*o to g*o**2 + r*o + x and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.227 - -14.327. What is the closest to o in -13, -7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722190 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420 + 1953. List the prime factors of j.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldldldlqhlldmhm. Give prob of sequence dhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + a - 3*a + (2*a - 2*a + a)*(3 - 2 - 5) + 2 + 2*a - 2)*(-a + a + a**2) in the form w*a + k*a**3 + o + g*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47946359 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-3))\/(((-3)\/9)\/(144 + -143)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15.47175 kilograms?\nAnswer: 15471.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120010 + -12023?\nAnswer: -1132033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 2 c when four letters picked without replacement from {g: 1, c: 3, w: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5549 + 5544. Put 0, p, 4, 31, -3 in decreasing order.\nAnswer: 31, 4, 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 4. What is the smallest common multiple of 18 and o(16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1009147220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 273764 divided by 4?\nAnswer: 68441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5*d - 9, 2*v + 2*d = 6*d + 10. Let m = v + -3. What is the common denominator of m\/(-3)*63\/12 and 87\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*r. Suppose -4*u = r*b - 101, 3*u + 4*b + 17 - 91 = 0. What is the first derivative of -19 + u*a - 26*a - a**3 - 6*a**3 wrt a?\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 228, 419, 608, 795, 980, 1163?\n\"Answer: -h**2 + 194*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -1, -388, 1 in decreasing order.\nAnswer: 4, 1, -1, -3, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**1\/v)\/v*v*v\/v**(-11) assuming v is positive.\nAnswer: v**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 40*a - 1 + 7 - 2*a**2 - 46*a. Let w(r) = -2*r**2 - 5*r + 5. Let x(p) = -5*m(p) + 6*w(p). Let z(u) = 23*u**2. What is x(z(g))?\nAnswer: -1058*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 6a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11630985?\nAnswer: 3, 5, 23, 33713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.0000043 + -1. What is y rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -621, -2835, -8231, -18399, -34929?\nAnswer: -59411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*i, -8*z + 3*z - 3*i = -585. Suppose -z = -5*s + 235. Suppose -3*w - k + 0*k + s = 0, 0 = 4*w + 2*k - 98. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 - -227. Calculate the greatest common divisor of 70 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, -1\/95 in decreasing order.\nAnswer: 0.1, -1\/95, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**6\/60 - 9*f**5\/80 + f**4\/24 + 3*f**3\/8 - f**2\/2 + 40*f - 2. Let w(s) = 0. What is s?\nAnswer: -1, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063515940 rounded to the nearest 100000?\nAnswer: -4063500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z. Let f(s) = -s**4 - 2*s**3 + 5*s**2 - 2*s. Let t(d) = 5*f(d) - 20*u(d). Factor t(b).\nAnswer: -5*b*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 96 + 55 + 3*k)*(-k**2 - k**3 + k**2).\nAnswer: -3*k**4 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -1, -8891, -4 in decreasing order.\nAnswer: 11, 1, -1, -4, -8891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(6\/11)*u*(u**(-3)\/u)\/u)\/(u**(-1\/5)*u*u**0))\/((u**1\/u)**(-16\/9)\/(u**(3\/2)\/u**3)) assuming u is positive.\nAnswer: u**(-633\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36346482 is divided by 157344.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117544, 235049, 352554, 470059, 587564, 705069?\nAnswer: 822574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 3) to base 4.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(833) + sqrt(833)*-6)**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:10 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -3*j**7\/14 + 17*j**3\/6 - 5*j. Find the second derivative of f(h) wrt h.\nAnswer: -180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20187 is divided by 1120?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a06 (base 14) in base 13?\nAnswer: -5b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -1\/3, 2\/9, 0.4, 0.09?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntqqtnbb. Give prob of sequence nbnq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3207498, 6415012, 9622526, 12830040, 16037554, 19245068?\n\"Answer: 3207514*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 4 + 4)*(36*k - k + k).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8942*l**2 - l - 227.\nAnswer: -17884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 + 112 = 0. Suppose -5*y + 0*h + 20 = -h, -4*h + 20 = 0. Suppose 68 = w + w + y*r, r - n = -2*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*o = -66*o - 63015. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 22. Suppose -w*a = -23*a + 735. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 175*z + 865. Let k be w(-5). Solve -3 = u, -p + 17*u - k*u + 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six sevenths of a week in minutes?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 485731.\nAnswer: 5343041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:38 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 26753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 bigger than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*p - 7. Solve p = 5*c - 2*m + 9, 2*c = -m - 2*m - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 6, i: 1}. Give prob of sequence em.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:01 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4015, 3963, 3911?\nAnswer: 3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s + 3. Calculate the remainder when x(-3) is divided by (5 - (-63)\/6) + 4\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-199)\/398*150\/35?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db - 7?\nAnswer: -e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let p be y(0). Let l(s) = s + 149. Let k(j) = -j - 372. Let n(b) = 2*k(b) + 5*l(b). Give n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/8)\/(2\/12). Suppose u*x - 72 = -x. Suppose -5*f - x - 7 = 0. Which is the biggest value? (a) 0.5 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-24 - -11 - 37)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61026579041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14124 (base 14) to base 11.\nAnswer: -3430a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 6155*c + 3003189\/2.\nAnswer: (c - 12061)*(c - 249)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1892 = 3*x + b, 638 = -x - 6*b + 2*b. What is x rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j**2 - 8 - 7*j**2 - 3 - 6*j**2 + 3*j. Let w be u(-5). Which is greater: 2\/441 or w?\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2\/2 + 4978. Let z(i) be the third derivative of -i**5\/20 + 17*i**4\/24 + 3*i**2. Determine z(s(k)).\nAnswer: -3*k**2 - 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 1, t: 4}. What is prob of picking 3 t and 1 e?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/14 + 6\/(-21). Suppose -40*t = 83 + 37. Sort -5, -4, r, t in ascending order.\nAnswer: r, -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 145*v. Let m(q) = -1165*q. What is m(y(h))?\nAnswer: -168925*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-15))\/(6\/(-135)). Suppose -3*z + 152 = -5*s, -s + 2*z = 11 + d. Let h = 76 + s. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5456.7 and 74522?\nAnswer: 69065.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*f + f. Let u be 8\/(-20)*(30 + -175). Sort u, -5, f in ascending order.\nAnswer: -5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*d - 26, -4*p + 0*d + 28 = 2*d. Let k = 14 - 9. Suppose -4*f = -4*u - 20, k*f - 2*f + u = 31. What is the remainder when f is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 1\/26, 0, -0.3, 4 in decreasing order.\nAnswer: 4, 1.5, 1\/26, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -0.8, -1, -2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9118)\/(-6) + 16\/(864\/18). What is the highest common divisor of z and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(5)*3)**2.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 2*p - 1. Let k be m(1). Let u = 1 + -6. Let v(n) = n**3 + 4*n**2 - 5*n. Let t be v(u). Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14.94364 years?\nAnswer: 0.1494364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 4*a)*(-1 + 1 - a**2) - 2*a**3 - 3 + 3 - 2 + 2*a**3 + 2 + 0*a**2 - a**3 + 0*a**2 + (2*a**3 - 1 + 1)*(1 - 5 + 3) - 3*a**3 - a**3 + 5*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.428038 to one decimal place.\nAnswer: 76.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21451 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 14 = -4*u, -3*u + 682*t + 6 = 686*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q - 3*q**2 - 2*q + 6*q - 6 + 2*q**2. Let w be m(-9). Let r = 365 - 358. Solve r = w*h - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/w**1))*w)\/w)**27\/(w**5*(w*w**(3\/7))\/w))**41 assuming w is positive.\nAnswer: w**(-1558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o - 16. List the prime factors of s(13).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 14.5. Let o = n + -10. Which is the biggest value? (a) -5 (b) o (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:22 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 4741 + 287 - 1657 + 0*b - 3727 in the form o*b + t and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28157 + -1379743\/49. Find the common denominator of u and 1547\/294 + -14 + (-5)\/(-1).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 19038.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:34 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114519 - 49988. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63319600 rounded to the nearest one hundred thousand?\nAnswer: -63300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z. Let i(s) = -203*s**2. Calculate p(i(j)).\nAnswer: 2842*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-40)*16*21\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -11. Find the first derivative of p - 8 - 3 + 3*z**3 wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4886500 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/12*(212\/56 - 4). Let c = j - -15\/14. Find z, given that -9\/2*z**4 - 3*z**3 + 4*z**2 + 3*z + c = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/20 - 5*m**4 - 41*m**3\/2 + 120*m**2. Factor t(a).\nAnswer: 3*(a - 41)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*p - 2*p = 2, -p = 2*z - 17. Let b = -8 + z. Solve -2*f = 3*t - 11, -2 = -b*f - 3*f + t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 8*c**2 - 5*c - 3. Let z be b(-5). Let l = -36 - -44. What is the greatest common factor of l and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -1109*i + 1069, -383*i + 382*i - 12*v + 10*v - 19 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3494 - 3545. Sort 0.05, -1\/3, p.\nAnswer: p, -1\/3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.2 (b) 5 (c) 0.1 (d) 0.043 (e) -0.1 (f) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 257416285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261189, 522375, 783543, 1044687, 1305801?\nAnswer: 1566879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 - 2131 = -40*s - 6*s - 37*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/7 + 144*x**3\/7 - 2714*x**2\/7 - 9120*x\/7 - 6264\/7 = 0?\nAnswer: -87, -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 966559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/31, -2\/17, 2, 0.23, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1028*w + 6100. Calculate n(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3856, 4365, 5210, 6391?\n\"Answer: 168*u**2 + 5*u + 3683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 253*p. Let k(b) = 13534*b. Let v(r) = 268*f(r) - 5*k(r). Let l(h) = h**2. What is v(l(x))?\nAnswer: 134*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 9436 = -5*w, q - 9436 = 3*w. What are the prime factors of q?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -89\/3*q**3 + 107\/6*q**6 + 140 + 0*q**4 + 0*q**2 + 0*q + 0*q**5. What is the third derivative of g(r) wrt r?\nAnswer: 6420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57439 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27341, 27340, 27339?\nAnswer: 27338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 579162302 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -43*f + 39*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 - 4*j - 13. What is b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170072578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76\/5 of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -9.8. Let h = 7 + u. What is the smallest value in -2\/11, h, 2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 5. Let q be b(6). Let z = -83 + 254. Calculate the greatest common factor of z and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12059*b + 439. Is z(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2)*z*z*z**(-5))**(1\/16)*(z**1)**(3\/5)*z\/(z*z**(-2)\/z*z)*z*z\/(z*z**(-2\/9))*z assuming z is positive.\nAnswer: z**(823\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10643 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.1. Let y be (9\/(-6))\/(3\/28). Let g = 11 + y. Put 2\/9, h, g in decreasing order.\nAnswer: 2\/9, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 38, 90, 164, 260, 378, 518?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/11, 8, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 - 6 = 0. Let v(f) = -12*f. Let m be v(-1). What is the smallest common multiple of 2 and (c - 5)\/(m\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 39*k**2 + 15*k + 108. Let b be c(20). Calculate the highest common factor of b and 520.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/10402786, 0.1?\nAnswer: 3\/10402786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -19*u**2\/2 - 109*u - 46. Let o be h(-6). Solve 3*p - 8 = o*p, 4*i - 4 = 4*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668541061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/30, -0.4, 9, 1\/4 in decreasing order.\nAnswer: 9, 1\/4, -1\/30, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 5 + -1)*10\/15. Let j be 0\/(i + 3 + -3). Suppose -16\/11*a**4 - 48\/11*a**3 - 32\/11*a - 2\/11*a**5 - 64\/11*a**2 + j = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3*2\/6. Let t = x + 3. Suppose b - t = -6. Put -1, b, 3 in increasing order.\nAnswer: b, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 plus 27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*p - 3*j - 15, p - 4 = 2*j. Suppose -a = 15 - 2. Let f = a - -8. Sort f, -1, p.\nAnswer: f, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/12 + z**3\/2 - 4*z. Let s be l(3). Suppose -3*h = -35 + 11. Solve -5*y + 5*m = -h*y - 34, s = 5*y - 3*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/12 + 24*c**2. Let j(p) = 4*p - 11*p - 4*p - p. Calculate g(j(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81038, 81035, 81032, 81029, 81026, 81023?\n\"Answer: -3*n + 81041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 127*n**2 + 2615*n - 1004. Calculate w(-101).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let o be k(-1). Suppose 5*s + 0*v - 23 = -2*v, 5*v = o*s - 15. Suppose -18 + s = -h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6529 + 9169. Calculate the remainder when s is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-440)\/(-12)*1\/(-3 - (-39)\/18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.10996 rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3 + 128*j**2 - 916*j + 792 = 0.\nAnswer: 1, 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 5, 2\/17, 2.04, 9, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/119 and -44\/2465187?\nAnswer: 17256309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**9)**(11\/5) assuming h is positive.\nAnswer: h**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 43 + 5. Let n be -36*(q\/8 - -2). Let d = 24 - n. What is the remainder when d is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.075684 and -0.4?\nAnswer: -0.0302736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4 + 2529*x**3 + 1602743*x**2 + 4775403*x - 6380676 = 0?\nAnswer: -1263, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3123201212 (base 4) to base 8.\nAnswer: 3334146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20955640 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**3 - 11*z**2 + 24. Give v(-2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*((-4)\/(-4) - 3). Let b = r - -10. Suppose -o + g = b*o - 114, 2*o = -2*g + 84. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 16*q + 3. Let j be (-30)\/12*(-128)\/20. Let b be m(j). Solve 12 = -0*t - b*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 11*a - 10*a - 4808, -3*a - 5*t = -14324. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56819 is divided by 123.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1 - 2988\/(-240) - (-216)\/(-180).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*f = 96 - 78, 0 = -3*n - 4*f - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from snbbs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/40*(-45)\/18*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25509 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 are the prime factors of 1105385?\nAnswer: 5, 221077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1003536 and 5046768.\nAnswer: 348226992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5351256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 20*v**3 - 11*v**2 - 12. Suppose -11*g = -4*g - 77. Let b(p) = -10*p**3 + 6*p**2 + 6. Let k(j) = g*b(j) + 6*q(j). Differentiate k(a) wrt a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, h: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-3))\/20)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 316?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/4)\/t)\/t*t)**(-17))**(-1\/11)*t**(-1\/2)\/(t*t*t\/(t\/(t\/(t**5*t*t))))*(t**0*t)**(-1\/6) assuming t is positive.\nAnswer: t**(287\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 49 = -3*a, 28 + 14 = 2*v - 2*a. Let x = 5 - 11. What is the remainder when v is divided by (3*-2)\/(x + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3026.8.\nAnswer: -12107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express y + y + 2*y**2 - 22 - y as n*y**2 + b + h*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10836249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 8) in base 7?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 36 = 4*s, s + 4*b = -0 + 6. Let j be (-4)\/(-18) + (-436)\/18. Let x = s - j. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*j - 2 - 4, j = x - 2. Let z = x + 0. What is the closest to -2 in z, -0.2, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1060*n + 1078*n + 72. What is the smallest value in -5, 355, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 12*p**2 + p + 212. Let a be c(6). Let o(u) = -13*u + 4. Calculate o(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100011 (base 2) to base 7.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111.4 - 119. Let t = 7.8 + p. Let u = 8 - 8.1. Which is the closest to u? (a) -1\/23 (b) 3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1516, 3090, 4762, 6580, 8592, 10846?\n\"Answer: 8*d**3 + d**2 + 1515*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191 and 231683?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/5 - 7913*v**2\/5 - 15829*v\/5 - 1583 = 0. Calculate v.\nAnswer: -1, 7915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 19*z = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859369 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 11:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104.695 + -105. Let k = w + 0.305. What is the closest to k in 2, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 9*m - 4. Let j be f(6). Suppose q + j = 3. Let a = q + 15. Solve 2*y + 2 = -a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - 273\/(-84). Let t be (50\/15)\/(2\/60). Suppose -30 = -a - 3*v, 0*a + 5*a + 5*v = t. Solve a = -0*s + f*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 13*x**2 - 4*x + 12. Give j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56189875 and 1225?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - j)*(-2*j - 4*j + 4*j - j - 2*j + j + 108*j - 10*j + 53*j + (-4*j + 2*j + 4*j)*(-4 + 3 + 2) + 2 - 2 - 2*j).\nAnswer: 294*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/(r*r**(5\/8)\/r*r))\/(r**(4\/9))**(-48))**(-2\/29) assuming r is positive.\nAnswer: r**(-545\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 18, -4, 31 in descending order.\nAnswer: 32, 31, 18, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 67*d + 359. Give s(46).\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.04464\nAnswer: 0.40176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3973 plus -37386464?\nAnswer: -37382491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 11}. Give prob of picking 3 c and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/95 + 427\/2280. Let f(v) be the third derivative of v**2 + 1\/15*v**6 + 0*v + 0*v**5 + 0 + 0*v**3 - u*v**4. What is the second derivative of f(w) wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*r + 3*b, r - 19 = -r + 3*b. Suppose -5*d + 2 + 23 = 0. Solve -r + 9 = -d*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2117138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, 43, 161, 315, 499, 707, 933?\n\"Answer: -l**3 + 27*l**2 + 2*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108933741 divided by -27.\nAnswer: 4034583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/((q*q**(-4\/5)*q)\/q))\/(q**(2\/13)*q))**(2\/19))**47)**8 assuming q is positive.\nAnswer: q**(-17296\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**23)**13 assuming h is positive.\nAnswer: h**299","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100247*g**2 - 316649*g?\nAnswer: -200494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15 - 25\/3)\/(2\/(-171)). What is the greatest common factor of 380 and n?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 2\/9 (c) 1 (d) 591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 3, l: 7}. What is prob of picking 2 w, 1 v, and 1 l?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 131, 272, 479, 758, 1115?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -583270646 divided by 1454?\nAnswer: -401149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 22*l**2 + 98*l - 108. Determine q(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjusjjjjhjjjjj. What is prob of picking 1 h, 1 u, and 1 j?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * 0.4.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 - 2*j**2 + 5*j + 4. Is y(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4065457 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.3 + 4.4. What is the nearest to a in 3, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/25 + -13\/75. Which is the nearest to 0.1? (a) -5 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 + 3*p**2 - 2*p + 2*p**4 - 101*p**3 + 101*p**3 - 135 as g*p**4 + i*p**2 + d*p**3 + w*p + r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -3987, 0.\nAnswer: -3987, -101, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008477 to 7 decimal places.\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003044 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 4*m**2 + 11*m + 6. Let f(n) = 2*n**3 + 3*n**2. Determine -2*f(s) - g(s).\nAnswer: -2*s**3 - 2*s**2 - 11*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*o + 108*o + 12*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 8*a**2 - 4*a**2 - 2*a**2 to the form d*a**2 + z*a + r and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23942 is divided by 5969.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218748 is divided by 109316.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -872, -1, 6 in descending order.\nAnswer: 6, -1, -872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7 + (-100)\/14)*1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45940 + -3537316\/77. Calculate the common denominator of i and 63\/5.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 27. Suppose -2*g + 4*m = 2*m + 24, 2*g + 5*m = l. What are the prime factors of g\/(-36) - 824\/(-18)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 5*k - 5. Let j(m) = -m**2 - 3*m + 3. Let o(y) = -5*j(y) - 3*v(y). Let t(g) = 58*g. Determine o(t(s)).\nAnswer: -3364*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 8*l - 896 = 0. What is the remainder when 85 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-five halves of a micrometer in nanometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107655831 to the nearest integer?\nAnswer: 10376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**4 + 8*g**3 + 6*g**2. Let h(c) = 7*c**4 + 31*c**3 + 24*c**2 + c + 1. Let q be -18*(8 - 3)\/(-10). Let f(l) = q*t(l) - 2*h(l). Factor f(u).\nAnswer: 2*(u + 1)**3*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -258 - -350. Let s = 181 + y. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = 0. Let u(j) = 0*j**2 - 10*j + 2*j + 4*j**2 - 5 + p. Is u(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 101?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 - (-91)\/(-21). Sort x, -4, -4\/3, -3\/8 in descending order.\nAnswer: -3\/8, -4\/3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*(-12)\/1296*-10.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 683280462?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 35. Suppose 132 = -4*f + 132. Solve -k = -g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1220827 - -1395.0690827. Let x = q + -1397. Round x to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-10))\/(14\/35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47472 - 141073\/3. Let w = 457 - m. Let d = 115 + -78. Calculate the common denominator of w and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19238642 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from {k: 8, j: 2, o: 5, g: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + 3 - (23 + 10 - 18)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*w + 54*w + 45*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - 93565?\nAnswer: -93595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.1272556 rounded to three dps?\nAnswer: 1.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/5*1\/2. Let t(i) = -3*i**3 - i**2 + 1. Let s = -1 - -2. Let o be t(s). Which is the second biggest value? (a) o (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 - -146.48. Round h to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3*q + 2. Let r(b) = -2*b**2 - 8*b - 6. Let f(j) = 8*g(j) + 3*r(j). Differentiate f(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1147 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 4 = o. Suppose 3*p - 135 + 1530 = 0. Calculate the remainder when (-2)\/(-5) + p\/(-25) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 5879568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445502619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i**3 + 0*i + 3*i**2 + 13 + 3\/4*i**4 + 1\/60*i**6 + 1\/3*i**5. Solve x(k) = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 7*j**2 + 3*j - 7. Let s be z(6). Let b = -13 - s. Let c = 23 - b. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 447 - -264?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 d, and 1 h when three letters picked without replacement from {h: 3, d: 2, x: 5, a: 3, e: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 366 and -2.697.\nAnswer: -987.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.142 times 0.1?\nAnswer: 0.1142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 440 - 443. What is the fourth biggest value in -0.5, k, 79, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76214267149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b**2 + 1. Let w be r(-1). Let g(c) = -5*c - 5. Calculate the common denominator of ((-260)\/w)\/((-4)\/(-3)) and g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 68 and 75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - n**2 + 2*n + 6. Give r(3).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4703.\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082 minus 693094272?\nAnswer: -693094271.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -4*k - 16, k - 7 = 3*q. Let a = 77 - 386\/5. Sort a, -2\/17, k in descending order.\nAnswer: -2\/17, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -4 - 12\/3. Let h(m) = 2*m**2 - 10*m - 4. Let j(f) = f**2 - f + 1. Let v(b) = -h(b) + 3*j(b). What is the remainder when 3 is divided by v(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34952 divided by 34952\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (684\/15)\/((717\/(-120) - -6) + 0) and 1140?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 339577 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, -31, -107, -183, -259?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2*r + 8, -10*q - 48 = -5*q - 2*r for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(8\/5))\/(b*b**(-14)))\/((b*b**(-14))\/(b\/((b**(2\/3)*b)\/b*b))) assuming b is positive.\nAnswer: b**(371\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2112)*-4 + sqrt(2112) + sqrt(2112))\/((sqrt(110) - 4*(sqrt(110) - -1*sqrt(110)) - sqrt(110))\/sqrt(10)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) + (sqrt(1694) + ((sqrt(1694)*3 - sqrt(1694)) + sqrt(1694) - sqrt(1694)))*3 + sqrt(1694))\/(sqrt(24)\/(sqrt(12) - -2*sqrt(1728))).\nAnswer: 3025*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10094, 129 in decreasing order.\nAnswer: 129, -1, -10094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1637.32121 to the nearest ten.\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 3*u - 8. Let x(c) = -c**2 - c - 3. Suppose 0*w = -2*w - 4*z - 60, -3*w - 74 = -2*z. Let d = w + 34. Calculate d*x(v) - 3*l(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -19 (b) 2 (c) 42 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0)\/(-1 + 2). Let a = 7 + -5. Sort -4, h, a in descending order.\nAnswer: a, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.588 - 1.285. What is h rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/120 - g**5\/20 + g**3\/3 - 5*g. Let r(b) be the second derivative of h(b). Factor r(q).\nAnswer: 3*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20117327 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 305137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 326, 498, 670, 842, 1014?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2901577165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65436.97ml in litres?\nAnswer: 65.43697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*p - 87*p = -2695 + 906 - 3571 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -0.1 (b) 1.8 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 209 + 49 = 0. Suppose 179 = 2*i - 2*y + 89, 3*y + 225 = 5*i. Let n = i + j. Solve -5*k - 4*g - 3 = -2*k, -n*g = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 713 or 715?\nAnswer: 715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 15. Let y be f(-7). Let i be -8*(-4)\/y - -3. Suppose 4*x - 47 = -i. Solve -2*l + 7*l - x = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 21*g**2 + 55*g + 233. Let o be r(-23). Let v(b) = b**3 - 25*b**2 - 24*b - 27. Determine v(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247780 and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (10 - 5) - (6 + -28 + -86)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 22. Let s be v(-5). Let a be s\/(-1) + (1262 - -15). Let x be (-4)\/14 - a\/(-70). Calculate the highest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnn when three letters picked without replacement from ywnvvno?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 + 5445*m**2\/2 - 3294225*m\/2 + 664335375\/2.\nAnswer: -3*(m - 605)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:27 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 17*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 19, -4, 4, 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*i - 4, 0 = -4*p + 2*i + 65840008. Round p to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*z - 49*z - 53*z + 33*z as m*z + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 660069*m**3 - 2*m**2 - 5*m - 37739198 wrt m?\nAnswer: 1980207*m**2 - 4*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 476\/2255 - 5\/451. Let g = 4 - 4. Which is the closest to g? (a) r (b) -1\/2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 541789, 1083617, 1625443, 2167267, 2709089, 3250909?\n\"Answer: -p**2 + 541831*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471.8439nm to meters.\nAnswer: 0.0000004718439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38178 is divided by 285.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 63*q + 0*q**2 - 4*q**2 - 25*q**2 - 244 + 286. Calculate the remainder when 30 is divided by c(31).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*u**3 - 65*u**3 + 437*u**3 - 17*u**3 + 1 - 1 + 4*u**3 + 0*u**3 - 5*u**3 + (2*u - 2*u + u)*(-3*u**2 + 2*u**2 - u**2).\nAnswer: 204*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v. Suppose 0 = 4*j + t - 12, -5*t + 30 - 10 = v. Suppose -2 = -j*l + 2. Solve -f = -l*a - 4, -4*f + 20 = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 357.8 - 6.8. Let t = 1653641300 - 1653641650.9999827. Let p = m + t. Round p to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/11 - 103426704*u\/11 - 1337135387537952\/11 = 0 for u.\nAnswer: -25856676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 30 + 45*a**4 + (-2*a + 0*a + 0*a)*(-3*a**3 - a**3 + 10*a**3) + a**4 - 3*a**4 + 3*a**4.\nAnswer: 34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -450 and 24?\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqq when three letters picked without replacement from qqqqqqqhqqqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121683, -243367, -365051, -486735, -608419?\n\"Answer: -121684*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6*s + 7)*(0 + 0 - 1)*(s**4 + 5*s - 5*s) + (-3*s**3 + 2*s**3 + 2*s**3)*(6*s - 6*s - 3*s**2).\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - -2 - (-1548 + 1513).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 16, -4\/5, 0 in descending order.\nAnswer: 16, 0, -2\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-25 + 34)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1864 is divided by 1821?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2 - q + 6. Let b = -77 - -76. Let h(y) = -y**2 + 1. Determine b*o(s) + 3*h(s).\nAnswer: 2*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322439961 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2327\nAnswer: -4\/2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8646, -34850, -78586, -139854?\n\"Answer: -8766*i**2 + 94*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:23 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 - 4148740*p - 12446175 = 0. What is p?\nAnswer: -829745, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Let g = -2 - -1.6. Let r = 0 + g. What is the second biggest value in y, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*a = -31, 6*i - 11*i + a = -15. Let s(g) = g**2 - g - 3. Let l be s(3). Solve -9 = 3*y, -i*r + 4*y = r - l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 11, a: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -0.063548544276?\nAnswer: -7.063548544276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**5\/15 - 4*t**3\/9 - 95. Find c, given that j(c) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 49\/6542?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 7. Let z be 2\/(-4)*(-42)\/84. Which is the third biggest value? (a) -0.3 (b) h (c) z (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*z**2 - 29*z**5 + 229*z**4 - 229*z**4 wrt z.\nAnswer: -1740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -2231.\nAnswer: 55\/2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/9)*c**(-2\/27))\/(c**9*c)**(-44))**(-46) assuming c is positive.\nAnswer: c**(-546664\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/((s*s\/s**(-3\/8))\/s))\/(s**(1\/11))**(-16))**(2\/9) assuming s is positive.\nAnswer: s**(95\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 25*i**4\/4 - 4*i**3\/3 + 8*i - 21. What is the third derivative of v(b) wrt b?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i - 6. Let c(n) = -n**3 + 4*n**2 + 4*n. Let g be c(5). Let k be s(g). Put k, 3, 1 in decreasing order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-9 - (9 - 23)) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*b - 2268 = 0, 5*v = -0*v - 4*b + 11235. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/360*27*-4. Factor 3*t**4 + r*t**2 + 0 - 3\/2*t**5 + 21\/2*t**3 + 0*t.\nAnswer: -3*t**2*(t - 4)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -873 - -493. Let c = j + 378.27. What is c rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1910161\/420 + -4548. Let u(n) be the third derivative of 0*n - x*n**7 - 1\/672*n**8 + 1\/120*n**5 + 0*n**3 - n**2 + 0 + 0*n**4 + 1\/240*n**6. Factor u(s).\nAnswer: -s**2*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 20*l**2. Let y(x) be the first derivative of x**2 - 3*x + 1704. Determine y(a(z)).\nAnswer: 40*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 26, 48, 70, 92?\n\"Answer: 22*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -118. Let a = 49 - x. Let l be 3\/9 - (-116)\/a. Is l <= -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 779 * 404786\nAnswer: 315328294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + n**2 - 2*n. Determine z(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 438638 and 250209.\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(1008) + 0) - (sqrt(1008) + sqrt(1008)*-5*-2))*1*6 + 3)*2)**2.\nAnswer: -24192*sqrt(7) + 28449828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**4 - 2*l**3 - 325*l**2 + 101363*l - 10 wrt l.\nAnswer: 60*l**2 - 12*l - 650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -4*p**4 - 5*p**3 - 4. What is the third derivative of m(b) wrt b?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8)\/1 + (-794)\/(-8). Let u = o + -99. Factor -3*v**2 + u + 3\/2*v**5 + 3*v**4 - 3\/2*v + 0*v**3.\nAnswer: 3*v*(v - 1)*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 572 = 143. Let p = z + 60. Suppose 47 = -p*o + 22. Let x(u) = 3*u**2 - 3*u + 4. Let b(l) = -l**3 - 5*l**2 + 5*l - 7. Give o*x(r) - 3*b(r).\nAnswer: 3*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 0*y**3 - y**3)*(-5 + 9 + 9).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - b**5 + b**3 + 0*b**5 + (0*b**4 + 2*b**4 - 3*b**4)*(-2*b + 3 - 3) - 21*b**5 + 3*b**5 + b**5 + 3*b**5 - 2*b**5 + 4*b**5.\nAnswer: -8*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -60 + (1 - 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1789*u**2 - 11 + 7 + 4 + 1786*u**2. Let o(a) = a**2. Let l = 8 - 19. Suppose c + 3 + 3 = -2*y, 0 = -4*y - 4. What is c*t(d) + l*o(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 12:48 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(24) - (sqrt(1176) - -2*sqrt(1176))) + sqrt(24))\/sqrt(12) + -1 - ((sqrt(64)*-1)\/sqrt(8))\/(sqrt(484)*-1)).\nAnswer: -210*sqrt(2)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/7 + 102*l**3\/7 + 3105*l**2\/7 + 24300*l\/7 = 0. What is l?\nAnswer: -45, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 4)*(4 + z - 4)*(1 - 1 + 6)*(-4 - 38 - 3).\nAnswer: 2430*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-81055)\/150 - 16\/120)*-2.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 178656?\nAnswer: 1250592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 641474.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 - (-1 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.54 (b) -0.13 (c) 16 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5402210036 + -1184?\nAnswer: -1189.5402210036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-374)\/(-33)*(-19 - 50\/(-40)*8)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g + 2. Let c be h(4). Suppose q - 139 + 52 = 0. Let n = q + c. Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.828539 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -40*d + 35*d. What is the remainder when d is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 - 2 = -3*b, -k + 3*b + 17 = 0. Suppose -k*u - 2*h + 18 = -h, -5*h + 3 = -4*u. Find the second derivative of -u*o - 5*o**3 - o - 6*o - o wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + -149. What is the second derivative of 13*d**3 - 6*d**2 + 16 - 9*d**w + 4*d**2 + 2*d wrt d?\nAnswer: 24*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278537136*c**6 + 1533324*c**2 + 45 wrt c.\nAnswer: -33424456320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -150. Let l = a + 138. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1841 times -18?\nAnswer: -57.3138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5064 + -2541. List the prime factors of l.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3639018 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/35925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 179 - 6\/(-7 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6*3\/(-96)*18 and 28\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.338 - 4.662. Let j = -22 + 25. What is the nearest to -0.1 in 4, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 624, 9, -500 in descending order.\nAnswer: 624, 9, 0, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2095943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 448, 1016, 1702, 2506, 3428, 4468, 5626?\n\"Answer: 59*i**2 + 391*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/654 and -80\/12753?\nAnswer: 25506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -78*o + 1. Let r = -1 - 0. Is g(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21121a8 + -4?\nAnswer: -21121ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0242? (a) 5\/3 (b) -0.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 23, -13, -65, -139, -241?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5, 2\/3, 5 in decreasing order.\nAnswer: 5, 3\/2, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77\/4 + -221\/12. Let u(h) = -5*h - 2 - h**2 - 3 + 6. Let t be u(-6). Which is the nearest to 1? (a) 1 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4925\/325050)\/(2\/16764)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 90*r + 297.\nAnswer: -3*(r - 33)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 e, and 1 y when four letters picked without replacement from vyvvveee.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -13, -17?\n\"Answer: -4*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 0, 5, 17, -1, -178, -2 in descending order.\nAnswer: 47, 17, 5, 0, -1, -2, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*64\/192.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 80821557 divided by -81\nAnswer: -997797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9271\/13000 - -471\/500. Let q = 3\/104 - h. Is 34\/9 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let n(r) = -5*r**2 + 47*r + 7*r**2 - 23 + 23 - 55*r. Calculate c(n(b)).\nAnswer: 4*b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26124059 divided by -1?\nAnswer: 26124059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55299438.\nAnswer: 2, 3, 89, 34519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56078408297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-20)\/h**(8\/9)*h\/(h*h**(-35))*h*h**(-1\/18)*h)**(-32) assuming h is positive.\nAnswer: h**(-4624\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5718277423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*m - 6*m - 17, -s = -3*m - 2. Suppose 3*u = s*w - 1303, -7*u = -w - 9*u + 271. What is the remainder when w is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {w: 2, u: 1, y: 1, c: 3, d: 3, j: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -455*q**4\/24 + 11*q**3\/6 - 2*q**2 + 9*q. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1, -37050, 4, -3 in descending order.\nAnswer: 5, 4, 2, 1, -3, -37050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 + 21*u + 22. Let x be s(-1). Let i(q) be the first derivative of -3 - 4\/25*q**5 - 4\/15*q**x + 0*q - 2\/5*q**4 + 0*q**2. Factor i(d).\nAnswer: -4*d**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25929*l**3*n**3 - 10172*l**3*n**2 - 18*l**3*n - 58*l*n**3 wrt n?\nAnswer: 155574*l**3 - 348*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-3\/5)*v*v**11 assuming v is positive.\nAnswer: v**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-43)\/(-602))\/(1\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - b - 10 = 0, v + 7*b + 30 = 2*b. Let m = v - -7. Suppose 0*o + o = m*z + 61, o = -3*z + 71. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -48. Calculate the remainder when 6 + -4 - (q - -3)*-43 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose -n*b + 21 = b. Solve 2*y = b*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 2)*(-3 + 3 - k)*(2 - 5 + 6).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8546*n - 115*n**3 + 8546*n - 5*n**2 + (0*n**2 - 2*n**2 + 3*n**2)*(-4 + 4 - n) - 4 + 2*n**3 + 4.\nAnswer: -114*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -613\/92 + 27\/4. Which is the second biggest value? (a) n (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 8*n - 6. Suppose 82*c + 467 = 83*c. Let w = c - 418. What is the remainder when w is divided by t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -0.09 (c) -0.303 (d) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5 + 3551408*z**4 - 1051040381392*z**3 + 103684783268845768*z**2 + 103687936407747028*z - 207371668639762808 = 0. What is z?\nAnswer: -2, 1, 295951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 6*w**3 + 3*w**4 + 17*w**3 - w**4 - 25*w**3 - 2 + 3*w**2 to the form f*w**3 + k + x*w**4 + u*w**2 + c*w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*n - 4 = -1, 0 = 5*j + 4*n + 2. What is the remainder when (-10 + 8)\/(1\/j) - -53 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10874 + -4a?\nAnswer: 10825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45996913?\nAnswer: 827, 55619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3 + 480*j**2 + 1500 wrt j?\nAnswer: 3*j**2 + 960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i + 54. Let w(f) = -3*f - 24. Let u(x) = -4*o(x) - 9*w(x). Let z(h) = -2*h**2 + 5*h**2 - 4*h**2. Determine z(u(k)).\nAnswer: -49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.0033?\nAnswer: -0.3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 490, 1290, 2402, 3820?\n\"Answer: -w**3 + 165*w**2 - 6*w - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*c + 1242 = 200*c - 406*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose 5*o - 20 = -j*t, -4*t - o - 6 = -28. Suppose 4*n = y + 218, -3*y + 283 = 5*n + y. What is the highest common divisor of t and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/13208631 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 + 4*f - 26. Let b be p(-6). Let u = b + -70. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149046 is divided by 483.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 438*n + 2251. Calculate z(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/372350 and -73\/33850.\nAnswer: 372350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43225 is divided by 165?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -205765*t**2 + 189414.\nAnswer: -411530*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2884.238nm in meters?\nAnswer: 0.000002884238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, v: 3}. Give prob of sequence zzz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 17, e: 1}. What is prob of picking 2 f and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4 + 32*t**3 - 108*t**2 - 3888*t - 16038 = 0?\nAnswer: -9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 + 1453?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-5)\/6*8)\/((-120)\/360)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 979.61?\nAnswer: -5877.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 3. Let n be v(-5). Let l(m) = 4*m**2 + m - 1. Let w be l(-2). Let r = 64 + w. What is the highest common divisor of r and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*c**3\/7 + 380*c**2\/7 + 256*c + 2752\/7.\nAnswer: 2*(c + 4)**2*(13*c + 86)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*h + 4. Suppose -h*n - 16 = 0, 6*m - 4*m + n = 0. Solve -m*w = -2 - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52 and -0.4.\nAnswer: -52.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97485?\nAnswer: 3, 5, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723045547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Let t = 2.6 - f. Let y = 2 - 1.6. What is the second smallest value in t, y, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111.849 and 4.\nAnswer: -447.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8183988053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*j**2 - 3 - 98*j**3 - 156*j**2 + 119*j**3.\nAnswer: 21*j**3 - 40*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(76) + 1*1*sqrt(76) + (-4*1*sqrt(76) - ((1*sqrt(76) - sqrt(76)) + 4)) + 0)**2.\nAnswer: -112*sqrt(19) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 425*g**2 - 6395*g\/3 + 100\/3.\nAnswer: 5*(g - 5)*(255*g - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r + 7. Let l(d) = 7*d - 4. Let n(p) = -p**3 + 7*p**2 + p - 46. Let z be n(6). Determine z*j(w) - 7*l(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10597142744\/321 - 33012880. Let l = c - 44\/107. What is the common denominator of 23 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 510 + 1703 + 903. Let t(q) = 14*q**2 + q + 1. What is the remainder when a is divided by t(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 14*x + 5. Determine m(-7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 26 - (111 + -4 + (11 - 8))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 3*r + 2*r + 2*r + r + 0*r + (-5*r - r + 5*r)*(3 - 3 + 1) - 3*r + 5*r - 3*r + 11*r + 0*r + 0*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:12 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4 = -4*u. Suppose 2*f - u*p = -0*p + 98, -4*f = 3*p - 161. Calculate the lowest common multiple of f and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/21 and (-1004)\/(-12)*6\/(-102) - -4?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.76 - -58.76. Do z and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 + (-12)\/(-8). Let r be (4 - 5)*(-1 - p). Let t(s) = -s + 4. Let z be t(r). Put 0, z, -4 in descending order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.043 - 0.143. Let r = 2432 - 2436. Sort r, -26, s, 2\/3 in ascending order.\nAnswer: -26, r, s, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + sqrt(20) + 5 + sqrt(5))**2*-5.\nAnswer: 1200*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 101703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 400, 724, 1036, 1330, 1600, 1840, 2044, 2206?\n\"Answer: -f**3 + 331*f + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 15) + (-9 - -15) + (2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, s: 3}. Give prob of sequence pp.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2100)\/165*(-1573)\/(-286)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 0*j = -228. Let v = 28 + j. Calculate the greatest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((10\/(-10))\/(-1)*-18)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + r - 38 = 0, 3*f - 2*r - 23 = -0*r. Suppose -15 = -2*c - 2*q - 3*q, -3*c - 3*q + f = 0. Sort -3, c, -2 in descending order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Let r be (4\/40)\/(2\/1735). Let p = -86 + r. Which is the third smallest value? (a) -4 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 10*i + 12. Let r be h(9). Suppose 57 = r*k + 12. Calculate the remainder when 44 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 0*o)*(-5*o + 6*o - 3*o**2 + 6*o**2)*(-5 + 0 + 0)*(2*o - 43*o - 23*o).\nAnswer: -960*o**4 - 320*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - g - 9 = 0, -7*g = -2*j - 2*g + 13. Suppose j*n - x = -4*x + 43, -2*n = -x - 19. Let s = n + -6. Solve t - s*t + 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + m + 3. Let k(s) = 5*s**2 + 4*s + 7. What is 9*j(y) - 4*k(y)?\nAnswer: -2*y**2 - 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144666*x + 156764 wrt x?\nAnswer: 144666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*((-332)\/24 - (10 + -24)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/300 + p**4\/40 - 9*p**2. Find c such that q(c) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 17*c = 0. Suppose c = -4*h + 2*h + 144. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2791113 less than -19537788\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20257, -81080, -182467, -324424, -506957, -730072, -993775?\n\"Answer: -k**3 - 20276*k**2 + 12*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 3*p + 5*p)*(-29*p - 198 + 198) to the form y*p + o*p**2 + n and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*m**3 - 358*m**3 + 176*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -462728 and 22380186.\nAnswer: 21917458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 5346\/99 - 6\/(18\/(-75)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 166 = -5*w, 5*a = 23*w - 28*w + 145. Solve 0*f + w = 4*f + 3*j, f = -3*j + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126050555 (base 7) to base 12\nAnswer: 2880a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1912891?\nAnswer: 17, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32100 or 32098?\nAnswer: 32098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/200*170 - 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*y*z**2 + 33*h**3*y*z + 35*h**2*y*z**2 - 3*y - 4*z wrt z.\nAnswer: 2*h**3*y + 70*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/15 + 149\/255. What is the closest to -4 in a, -7, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2450940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9167542.\nAnswer: 2, 4583771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-368)\/(-2772) + (-4)\/14. Let t = 1\/99 + q. Let v = -1 - -0.7. Which is the second biggest value? (a) v (b) 3\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = -3*s - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289 + 245 + (-1 + -1 - (-68 - -53)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4950 or 5532?\nAnswer: 5532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -372*l + 1521. Let o(g) = 23*g - 95. Let k(c) = -33*o(c) - 2*r(c). Calculate the lowest common multiple of k(6) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 y, and 1 f when four letters picked without replacement from zyiifyizkiy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.3542984 at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250 and 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -565536856 rounded to the nearest ten thousand?\nAnswer: -565540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 - 13*b**2 - 3*b - 16. Calculate g(-5).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2 - (-15)\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 1. Let d(f) = 6 - 56*f - 28*f + 89*f. Suppose 0*n = -3*n + 15. Suppose 4*p + 14 = 3*t, t + n*p - 35 = -4*t. Determine t*s(l) - d(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -3*(sqrt(300) - (-3*sqrt(300) + -3))**2 + 2).\nAnswer: 720*sqrt(3) + 14430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/3 + 1046378*o\/3 - 1046380\/3 = 0.\nAnswer: -523190, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -6.4. Let c = l + 1.2. Sort 0, c, 5.\nAnswer: c, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 12:29 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1 - q - 3 - 1. Let j be c(7). What is the units digit of 4\/(-2)*j\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16685168 is divided by 8342524?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*p + 2 - 2 + 371*p - 123*p - 127*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 78\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3239\/5 - -660. Find the common denominator of z and -26\/59.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 4. Let a(w) = -11*w + 12. Let u(n) = 3*a(n) + 8*x(n). Let b be u(6). Suppose -t + 6*t = 4*r + 18, 4*t = 8. Is b bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -219 - -446. Let n = h + -226.7. Which is the second biggest value? (a) n (b) 2\/13 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-202)\/((-378)\/(-92) + -4). Let h = m - -1852. Is h less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -0.5, -6\/5, 2\/11 in decreasing order.\nAnswer: 2\/11, 0.1, -0.5, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.8 and -0.2?\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 14 - 16)*-10607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1050) + sqrt(42))*6 + sqrt(42))\/(sqrt(726) + (1*sqrt(726) - sqrt(726)) + sqrt(726)).\nAnswer: 37*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -415.272 * -25\nAnswer: 10381.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 301180059.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -646885624 by -2.\nAnswer: 323442812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 306991454 < 306991454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12*j - 44. Let k be r(-6). Let c be 2\/7 + 20\/k*1. Let s = -272\/5 - -55. Sort c, 4, s.\nAnswer: s, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 91\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37359.94 millilitres to litres.\nAnswer: 37.35994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 42687*z**2 + 22985784*z - 3038114796.\nAnswer: -3*(z - 262)**2*(z + 14753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3892666 months to years.\nAnswer: 0.19910555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -20580?\nAnswer: 20588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156*o*p + 4233*o + 12*p wrt p.\nAnswer: 156*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.048 - 0.163. Let f = -2.885 + o. What is the second smallest value in -2\/5, -2\/9, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30800*b*n - 89908*b*r**3 + 2*n*r**3 wrt n?\nAnswer: -30800*b + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 264226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 87. Let o(u) = 2*u + 91. Calculate 2*o(c) - 3*t(c).\nAnswer: c - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-42))\/((-3)\/16*12\/7)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 + 11 - 12*l**3 + 5*l**2 - 12 + 13*l**3 to the form v*l**2 + d*l**3 + o*l + p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7011.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 124*x - 1657. Calculate c(-43).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2035, 2238, 2423, 2584, 2715, 2810, 2863?\nAnswer: 2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -i + 8802, 4*n - 35172 = 6*i - 4*i. List the prime factors of n.\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oun when three letters picked without replacement from jnnpoupjunnnjujnj.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*4\/3. Suppose 4*d - 3*b = 16, 5*d + 1 = -2*b - a. Suppose -h + d = -3. Do h and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from {z: 5, k: 4, j: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132 (base 6) to base 5.\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -367 divided by -1\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + -12 - 16) + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0*m + 186 - 186 - m. Let q(t) = -47*t. Determine q(s(x)).\nAnswer: 47*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - k = -5, 6*k - 15 = -5*p + k. Let c be ((-2)\/(4\/6))\/p + 3. Sort c, 5, -3 in decreasing order.\nAnswer: c, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 21574.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = g - 0*n - 43, 0 = g - 5*n + 7. What is the least common multiple of 174 and g?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 37257)\/(348777\/(-52)). Let w be (4\/8943)\/(2\/3). Let f = w - g. What is the common denominator of 51\/7 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6786 - 6774. Solve 2*m = -8, -3*q + 2*m + b = -7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**4 + 0*y**2 + 11*y + 0*y**5 + 7\/3*y**3 + 0*y**6 + 0 + 3\/14*y**7. What is the second derivative of r(s) wrt s?\nAnswer: 180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 90. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11232)\/(-273))\/24*-7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263404080 is divided by 17560272.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(-2)\/4*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 5) to base 13.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 12:53 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - ((sqrt(68)*-3 - sqrt(68)) + 5 + sqrt(68)))**2*6.\nAnswer: -480*sqrt(17) + 6678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12712 - -2429. What is the greatest common divisor of 98 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11 = -19. Suppose -4*u = r + 3*r - 84, 3*r = c. What is the highest common factor of 171 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 33*l + 13. Determine s(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029 minus -988768?\nAnswer: 988767.9971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, 4 in decreasing order.\nAnswer: 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000299 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 252d9be - d?\nAnswer: 252d9b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401 - 80*c + 197 + 204 - 19*c.\nAnswer: -99*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*i - 562 = 278. Calculate the greatest common factor of i and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 + (-178)\/(-8))\/(1\/(-548)). Is (m\/4)\/((-25)\/100) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 117, 276, 527, 888?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -4, 61246.\nAnswer: -4, 22, 61246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g + 618 - 13 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 75 = 28*x + 83, -4*s = -x - 20. Find o such that 1\/3*o - 1\/9*o**s + 2\/9*o**2 + 0 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 2 n when four letters picked without replacement from dzcbmcmmnmndm?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (462\/75 + -6)\/(3 + -4 + 3)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 6*d**2 + 411*d - 1247. Determine f(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - 4*sqrt(8)).\nAnswer: 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/690)\/5*-3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30521, -30516, -30511?\n\"Answer: 5*s - 30526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/17? (a) 5 (b) -2 (c) -5 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/20)\/(116\/290).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 20*u - 32. Let m be y(18). Let s be 10\/m + 51\/34. Suppose -c - 2*a = -22 - 431, -s*a = -3*c + 1339. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -3\/2*c**3 - 3\/2*c**2 - 2*c + 0. Is j(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/297 and 10\/(-36)*(1\/(-9) + 55417\/13590)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 667708921.5778.\nAnswer: 667708921.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90.84 and 0.2.\nAnswer: 91.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -20419*k - 735071. Calculate y(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -356122*z**3 + 699332*z**2?\nAnswer: -2136732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 less than -92472?\nAnswer: -92456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.4 (b) 4 (c) 1\/2 (d) -152.9 (e) -0.1 (f) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -135. Suppose -36 = -0*o - 4*o. Calculate the least common multiple of (1 - (-24)\/s)*2 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i + 1. Let c(o) = -64*o - 65. What is -c(n) - 6*f(n)?\nAnswer: 4*n + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuosj. What is prob of picking 1 s and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -47\/6. Let s(f) be the second derivative of 3*f + 0 - l*f**3 + 0*f**2. Let m(g) = -2*g**2. Determine s(m(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.262 and -0.2.\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -25?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14885 + 23244. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 380927.4 grams?\nAnswer: 380927400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(4\/(-2))\/124)\/((-11)\/(-792)*-6).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -25164, -100665, -226500, -402669, -629172, -906009?\nAnswer: -1233180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c. Let j(p) = -19*p + 1 - 15*p - 3*p + c*p. Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m**3\/m)**4 assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6036)\/(-27665))\/(4\/5)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 12 = 3*c, -c + 8*s + 4 = 9*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-2 - 3\/(-2)))*0. Suppose -5*i + 5*h - 755 = g, -141 = -3*i + 4*i + 4*h. Let p = i + 744\/5. Which is the closest to 2? (a) p (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -8464*s**2 + 50968*s - 76729 = 0.\nAnswer: 277\/92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*i + 2*z - 39, -4*z + 39 = 3*i. Let w(q) = -23 + 14 - q**2 + i. Let p(o) = 2*o - 79. Give w(p(g)).\nAnswer: -4*g**2 + 316*g - 6241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(42\/(-39) - -1). Let k = -9352111394\/16250070697 + 48\/4727981. Let s = k + 2\/491. Which is the nearest to 6? (a) s (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2297*h - 944*h + 2243*h.\nAnswer: 3596*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*n + 31*a - 33*a, n - 4 = 3*a. Solve -4*z = 13 - n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 105 = 5*p. Suppose -5*n - 2*z + p = 0, 0 = 5*n + z + 2*z - 26. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 1, w: 2, g: 1, p: 6}. Give prob of sequence fwp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 + 28*w**4 + 432*w**3 + 1108*w**2 + 1042*w + 336.\nAnswer: -2*(w - 24)*(w + 1)**3*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -2, 37, 112, 235?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -18. Let a(o) = 4*o + 4. Let b be a(n). Suppose 4*y = 4*w + b, 3*y - y = -3*w - 12. Sort w, 3, 0 in decreasing order.\nAnswer: 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/90 - 37*t**4\/36 + 160*t**3\/9 - 220*t**2. Factor v(f).\nAnswer: 2*(f - 32)*(f - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 12 - (-23 - -7 - 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2339 - 2341. Suppose -5*h = q + 23, -4*h + 2*q - 3*q = 19. Sort h, 3, r, 0.\nAnswer: h, r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d + 4*d**3 + 2 - 37*d + 11*d + 13*d in the form t + v*d**2 + f*d + s*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i + 251 - 287. What is the fourth biggest value in 0.3, i, -11\/6, -0.1?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + j = -1, 4*j - 5 = -3*u + 2*j. What are the prime factors of u + (76 - (1 + -4))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2790, -2419, -1802, -939, 170?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7413 divided by -8516.\nAnswer: -7413\/8516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 678338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6255681 take away -12.034?\nAnswer: -6255668.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 + 4*j + 6. Let g(n) = -2*n**3 - 17*n**2 + 11*n + 17. Let o be (-6498)\/1653 - (1 - 27\/29). Determine o*g(q) + 11*p(q).\nAnswer: -3*q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -30*r - 2. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002997468 to 6 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*h - 6, 0*d - 3*d - 5*h - 17 = 0. Let l(c) = -8*c - 4. Let j(m) = 1. Let o(u) = d*l(u) + 5*j(u). Calculate o(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r)\/r**4*(r*r\/(r\/r**(1\/5))*r)\/r**(3\/2) assuming r is positive.\nAnswer: r**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.43988 - 123.56012. What is the nearest to 1 in 2, -0.1, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 12 = -4*c, -3*v - 2*v - 2*c = -6. Solve v*h - 7 = -3*h + 5*r, 0 = -4*h + 3*r + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296961647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 23748, -5 in ascending order.\nAnswer: -5, 0, 4, 23748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.064, 2\/13, 4, -2\/3 in ascending order.\nAnswer: -2\/3, -0.064, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -191, -185, -167, -131, -71, 19?\n\"Answer: n**3 - n - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 3. Let q be g(-4). Let m(y) be the second derivative of y**5\/15 - y**3\/6 + y**2\/2 - y. Let l(h) be the first derivative of m(h). What is l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -484*b**2 + 57*b + 16. Calculate d(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 2*sqrt(95)*6 - -2*1*sqrt(95))*6)\/(((sqrt(10) + 2*sqrt(10))*5)\/(sqrt(144)\/sqrt(8))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and 33\/419.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 988202 to the power of 1\/2, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 - 20 = c, 2*v = -10. Let a(k) = -k**3 + 4*k**2 - 4*k + 3. Let j be a(c). Suppose 3*z - 315 - 231 = -3*r, j = 3*z - 15. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 59750*o + 478008. Calculate b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.59175 - 337324.59175. Let r = -337254.0108 - j. Let f = r + -67. What is f rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630300 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*c = -5*i - 13, -i = 4*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:36 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 3226, -4, -1, -5 in descending order.\nAnswer: 3226, 6, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.013 - 0.023. Let m = 1.944 + -1.71. Let p = m - j. Round p to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334810 (base 10) to base 5.\nAnswer: -41203220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 209*p**2 - 4549*p - 232. Calculate d(31).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 66*l**3 + 469*l**2 + 27*l - 141. What is z(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 524, 660, 898, 1268, 1800, 2524?\nAnswer: 3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 219*h**3 - 2*h**2 + 4*h - 3. Is l(1) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -21, -10 in descending order.\nAnswer: 5, -7, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23792983 and -3.4?\nAnswer: 23792986.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 21. Let c = n - 6.8. What is the nearest to c in 2\/7, -1\/4, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {r: 1, h: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2015*b**2 - 4909*b**2 + 4001*b**2.\nAnswer: -2923*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose -b - a = 0, 1 = z*b - 2*a - 3. Solve 0 = 4*j - 20, r - 5 + b = -j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 2:21 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19933460 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**8\/50400 + b**6\/1800 - b**5\/450 - 5*b**4\/4 - b**3\/6 + 8*b**2 - 2. Let m(w) be the second derivative of d(w). Factor m(f).\nAnswer: -2*(f - 1)**2*(f + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 14 (c) 6.1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 7*a**2 - 417*a**3 + 217*a**3 + 208*a**3 to n*a**2 + m + b*a**3 + g*a**4 + o*a and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -439 - -444. Let y = 27223 - 27218.0102. Let v = y - b. Round v to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338 + 481. Suppose l*c = 140*c + 9. Solve 4*i + 20 = -4*y, -5 = c*i + 2*i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**5 - l**4 + 453*l**2 - 2. Let w(c) = 48*c**5 + 3*c**4 - 1812*c**2 + 9. Let j(i) = -9*u(i) - 2*w(i). What is the third derivative of j(n) wrt n?\nAnswer: 720*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-42)\/9. Let i = -3 - j. Is -2 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 994\/395 + -2934119\/1155770. Find the common denominator of p and -53\/2508.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 27. Let g = -8.9999965 + x. Round g to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -513, -454, -391, -324, -253, -178?\n\"Answer: 2*x**2 + 53*x - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1342\/2070397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/4 + 981*u**3 + 2887083*u**2\/2 - 116*u. Factor p(r).\nAnswer: 3*(r + 981)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53000 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 10*f - 91. What is s(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z - 59. Let a(v) = 6*v - 60. Let i(s) = 5*a(s) - 6*f(s). Let w be i(9). Sort -3, 5, 4, w in increasing order.\nAnswer: -3, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*t = -5*t - 15, 2*t - 4 = 0. Suppose -533 = -s*n + 2330. Which is smaller: n or 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338080798 divided by -2\nAnswer: -169040399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6*u - 320. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1870150 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*l - 690349635 + 690349635.\nAnswer: 597*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 0 = 1 - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -1\/150*h**5 - 2*h**2 + 1\/30*h**4 - 1\/15*h**3 + 0*h + 0. Factor q(n).\nAnswer: -2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 0*u + 1\/2*u**2 + 4. Let j(h) = -1. Let d(w) = 3*w + 5. Let p(r) = d(r) - 4*j(r). Give p(v(t)).\nAnswer: 3*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60304 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d*d*d\/(d*d**(-42)\/d)*d)\/d)**(-3\/4))**(1\/3))**49 assuming d is positive.\nAnswer: d**(-2303\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 1828, 3481, 5220, 7045, 8956?\nAnswer: 10953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -35, -4, -1\/6, -0.2, -0.1 in descending order.\nAnswer: 1, -0.1, -1\/6, -0.2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1851786*t + 1847692*t - 3699478*t + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:14 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -25. Let n be h + (6 + -3 - 3). Determine i so that -4\/3 - n*i**2 + 14\/3*i - 2\/3*i**4 + 10\/3*i**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from mqmaasaaasa?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -73*a - 24. Let y(p) = -146*p - 48. Let l(i) = 7*m(i) - 3*y(i). Let c(f) = -24*f - 8. Let q(x) = 8*c(x) - 3*l(x). What is the hundreds digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2393752.3401 - 2393594. Let k = n - 7.3279. Let x = 151 - k. What is x rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -12*c + 8. Let t be k(-5). Let d = t - 35. Let w = -19 + d. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*a - 9 + 122*a + 125*a + 130*a + 132*a.\nAnswer: -a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1546, 1549, 1554, 1561?\n\"Answer: d**2 + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29126*a**2*d*v + 4*a**2 + 6*a*d*v + 87927*d*v + d - v wrt a.\nAnswer: 58252*a*d*v + 8*a + 6*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 125, 189, 255, 323, 393?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*i - 1598 + 1054. Let l(f) = -12*f + 4. Let h(q) = -4*q + 1. Calculate i*h(o) - 5*l(o).\nAnswer: -4*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 123 = 3*i, -3*a + 65 = 56. Calculate the greatest common factor of i and 6228.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1568)\/(-252) - (-2)\/(-9). Let o be (-2529)\/(-27) - (1 - 8\/i). What is the third biggest value in -1\/4, 0.5, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -2*w + 4*q, 0 = -5*w + 3*q + 11. Let z(t) = t**2 - 4*t + 4. Let d be z(w). Solve -3*h - h = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 41540.\nAnswer: 124620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 + 13*y - 4. What is t(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-9) + 3*1. Suppose -2*a - 3*y + 21 = 0, -2*y - 5 = -v*a + 76. Solve f - a = 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -399 + 399.418. Round w to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxii when four letters picked without replacement from {i: 2, s: 1, z: 1, x: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0026 + 0.1974. Which is the nearest to 0.03? (a) -3 (b) 5 (c) w (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:41 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27775, 111088, 249943, 444340, 694279, 999760, 1360783?\nAnswer: 1777348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.6. Let f = 512.1 + -512. What is the closest to 1\/2 in f, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.582 and -7060?\nAnswer: 7056.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b = 58*b - 234. What is the second smallest value in -0.2, b, 224?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 539 = -5*x, -2*l + 5*l - 771 = -5*x. Let y = l + -232. Solve -4*w - w + 5*a + y = 0, w - 2*a = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737897120 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**4 - v**4 + 7*v**4)*(1 - 2 - 1) + 805*v**2 + 19 - 8*v**4 - 805*v**2 in the form m + w*v + h*v**3 + i*v**2 + c*v**4 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244 - 1190 = -6*x - 2236 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10049 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 1, d: 2}. Give prob of picking 1 w, 1 d, and 1 n.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 290821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*u - 20 = 0, 0 = f + 2*u - u + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5814068 - 4896\nAnswer: -5818964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97314 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1776296 divided by 6.\nAnswer: -888148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 197, 176, 137, 74, -19, -148, -319?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120409\/2 + 347*a - 1\/2*a**2 = 0.\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5)**(1\/5)*(s\/s**(2\/23))\/(s\/s**(-5)) assuming s is positive.\nAnswer: s**(-94\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 20988480 to the nearest ten thousand.\nAnswer: 20990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m)*(-138 + 801 + 313)*(m**2 - m**2 - 2*m**3).\nAnswer: 1952*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137335 is divided by 335.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 39*m**2. Let c(u) = -4396*u. What is d(c(t))?\nAnswer: 753667824*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 108*l**5\/5 + l**4\/6 - 120*l**2 - 910*l. Differentiate u(j) wrt j.\nAnswer: 1296*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2870253, -5740396, -8610539?\n\"Answer: -2870143*n - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3666*w**3 + 11558*w**3 - 1527*w**3.\nAnswer: 13697*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + t - 41 = 0, 0 = -3*t - 0*t + 3. Suppose 2*q + 4*z = -b, 3*q - 3*z + 4 = -z. Let i(j) = -6*j. Determine i(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = -3*b + 4, -s - b = -3. Let r(v) = 2*v**2 + 2*v - 2. Let t be r(-2). Suppose 0 = 2*k + 3*h - 2, -4 = -2*h + 4. Put s, k, t in descending order.\nAnswer: t, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*o - 2*j, -5*j + 15 = -2*j. Is -12.9 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 16*x**2 + 20*x + 95. Let y(t) = -7*t**2 - 10*t - 47. What is 3*d(u) + 7*y(u)?\nAnswer: -u**2 - 10*u - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8474\/935 + -492\/55. What is the fourth smallest value in -1, 3, c, -10\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/105)\/(72\/14). Let d(p) be the second derivative of -p + 1\/3*p**2 + j*p**4 + 1\/6*p**3 + 0. Factor d(l).\nAnswer: (l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -123\/10 (b) -3 (c) -2\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24599 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 423.0007 meters?\nAnswer: 0.4230007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(1\/4))**(-17\/5))**(-12))**(1\/16) assuming v is positive.\nAnswer: v**(459\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and -0.49744 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + x = 2*x - 11, -21 = -i + 4*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 78*w**3 - 2*w - 3*w.\nAnswer: 78*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 2*u**2 - u)*(-343*u + 776*u - 62*u) to m*u**2 + r*u**3 + t*u + x and give r.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 725\/2 + 117\/78?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (841*z**2 + 859*z**2 + 20 - z - 1691*z**2)*(-4 + 6 - 1) to r + p*z**2 + i*z and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2388378*f*i**2*q - 15*f*i**2 + f*q - 62*i**2*q + 37*i*q - 6*i + 179*q - 6 with respect to f.\nAnswer: 2388378*i**2*q - 15*i**2 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let b(s) = s. Let f(o) = -o**3 + 2*o**2 - 3*o + 8. Let z be f(0). Let h(u) = 16 + z*u - 27 + 11. Let c(j) = -40*b(j) + 6*h(j). Calculate c(k(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -3*f**7\/14 - 3*f**4\/4 + 8*f. What is the third derivative of i(n) wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 3:25 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 16. Let k(v) = -5. Suppose 3*d + 0 = -3*x - 9, 2 = -3*x + 4*d. Let c(t) = x*s(t) + 7*k(t). Let a(g) = -5*g - 62. Let i be a(-13). Determine c(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/10)\/(448\/(-560))*8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4 + 0 + sqrt(300) - sqrt(300))**2 + 2 + sqrt(300) + sqrt(300) + 5).\nAnswer: 115 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -0.00848?\nAnswer: 0.0003392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 x when three letters picked without replacement from {z: 4, r: 2, d: 3, x: 4, k: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 102 = 5*s. What is the greatest common factor of 190 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 10. Suppose -7*j = -v*j - 15. Let b(k) = k**2 - 3*k + 4. Let n be b(j). Solve 0 = -4*m + 2 + 14, -y + n*m = 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 1383*r - 1417*r + 117 + 2796*r to the form w*r + j and give j.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b*b\/(b*b\/b**(-13)*b)*b*b))*b**(-17) assuming b is positive.\nAnswer: b**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*m - 9076, 3*i - 12297 = -4*m - 214. What are the prime factors of m?\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*q - 69 = 0, 7017*o - 9*q = 7016*o - 207 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, d: 4, s: 1, q: 1, h: 5}. Give prob of sequence ddqd.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:57 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4321*y**3 - 2*y**2. Suppose -z - 6 = 2*z. Let l be i(z). Let n be ((-6250)\/30)\/((-1)\/l). What is n rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 2*q**2 + 2*q - 27. What is a(5)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvgg. What is prob of sequence vvvg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -36*n - 570. Calculate the remainder when s(-29) is divided by 50.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 206676 and 660.\nAnswer: 11367180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 1299830?\nAnswer: 7798980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -32. Put 1, s, -7 in descending order.\nAnswer: 1, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 96140821588?\nAnswer: -96140821592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uthhhtuhhu. Give prob of picking 2 u and 1 h.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055606 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6*g**2 + 1 + 13*g**2.\nAnswer: 7*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409796865?\nAnswer: 3, 5, 23, 599, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10.1 - 144943190.0996\nAnswer: -144943200.1996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1443243 and 81693.\nAnswer: 4329729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5995, 5994, 5993, 5992?\nAnswer: 5991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2.23\nAnswer: -0.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 25 = 3*t, 5*z - 16 = -2*t + 30. Let g = 0 + 4. Solve 5*x = t*b - 8, g*b + 4*x = -b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 151 - 155 + m**3 - 2*m to n*m**2 + x + g*m + o*m**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 365684 - -18437\nAnswer: 384121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*a - a. Suppose -2*o - a*o**5 + 0*o + 0*o**5 + o**2 - 2*o**2 + 17*o**3 + o**4 = 0. What is o?\nAnswer: -1, -1\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3*w + 14979*p**3 - 43*p*w + 25*w with respect to w.\nAnswer: 2*p**3 - 43*p + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-3\/4))\/q*q*q)**(43\/2))**(-2\/165)\/((q\/q**(-12))\/q**(-4))**(7\/4) assuming q is positive.\nAnswer: q**(-1985\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -141. List the prime factors of ((-21)\/6 + 3)\/(x\/374).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/16 + (-1644)\/96. Let v = 40 + -22. Let q = y + v. What is the greatest common divisor of 2 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135890514 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*k**4 + 11*k**4 + 16*k**4)*(-3 - 5 + 1)*(-5 + 4 + 0).\nAnswer: -532*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2526 + 2541. Let b(r) = -2*r. Let j be b(-6). Suppose -k - m = -j. Let z(p) = -p**2 + p - 1. Let f(u) = -8*u**2 + 7*u - 7. Calculate k*f(i) + 21*z(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-372)\/(-28) + 10\/(-35). Let d(b) = 3*b + 54 - 23 - 4*b - h. Calculate d(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (12 - 19) + 31. Suppose 2*a - 3*p = 18, 4*a - q = 3*p + 5. Factor 2*b**a + 1\/5*b**5 - 27\/5*b - 27\/5 + 18\/5*b**2 - 7\/5*b**4.\nAnswer: (b - 3)**3*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 956 - 915. Suppose -11 = 3*g + 4. Let n = g + 27. What is the remainder when l is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, x: 6, c: 1, n: 8}. What is prob of sequence cn?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 28. Suppose 5*r - 338 = d. Let y be (-2)\/(-5) + r\/15. Solve 4 = -4*z - 4*f, -5*z - 3*f - y + 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -6 - (27 + -13 + 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z + 3*z**2 + 4*z + 2*z - 10*z as d*z**2 + k*z + h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051863?\nAnswer: 3, 350621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (1 + sqrt(539) + 3)**2 + 3*(sqrt(539) + 0) + 0.\nAnswer: 77*sqrt(11) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 13*y - 20. Let m be w(-4). Suppose -m*o + 190010 = -6*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-2 - 217\/(-14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x. Suppose 15*s + 2 = 16*s. Let d(v) = 5*v + 4*v + v**s - 9*v. Determine d(z(p)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 8*a**2 + 12*a - 12. What is the tens digit of p(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7858877.4427 and 20.\nAnswer: 7858897.4427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 70 = -o + y, 3*o = -y + 170. Let t = o - 15. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/25994 or 0?\nAnswer: 5\/25994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*0\/(-2)*249\/249.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, o: 10, p: 1}. Give prob of sequence so.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4 - 3600*t**3 - 110038*t**2 - 637416*t - 1018944 = 0.\nAnswer: -1769, -24, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 34020\/1092 + 2\/(-13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 165\/4, -5, -67.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.85601417659 + -37?\nAnswer: -200.85601417659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 23 - 4. Suppose -5*w + o = -11. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m**2\/3 + 10*m\/3 - 4\/3 = 0. Calculate m.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 274 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/43554 and 49\/522.\nAnswer: 3789198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/29885280 and -67\/13448376.\nAnswer: 268967520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.191 milligrams to nanograms.\nAnswer: 726191000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12024676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -198 times -0.096\nAnswer: 19.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -987a3 - 5?\nAnswer: -987a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*l**3\/17 - 876*l**2\/17 + 8768*l\/17 + 3648\/17 = 0. Calculate l.\nAnswer: -2\/5, 12, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 6*r + 7. Let d be p(-11). Suppose -2*n - 20 = -96. Calculate the greatest common divisor of d and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.07\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/88 - 83\/4. Let n = a + 9. Are -12 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(343) + 6*3*sqrt(343) - (sqrt(343) + -4)*4) + -2.\nAnswer: -315*sqrt(7) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(63\/9)\/(-14). Solve -d = 2*k - 1, a = -8*d + 3*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/(-14) - (-40)\/7 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 8.6, 0.2, -0.2, 5, 0.4, 2?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from kxxkbbkbkbk?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -5*i**8\/336 - 11*i**7\/42 - i**6\/3 + 5*i**5\/3 - 3*i**2 - 29. Let t(w) = 0. What is w?\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2559853\/422 + 6066. Is c greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (110\/88)\/(0 + 2\/8). What is the lowest common multiple of 12 and p - -3 - 7\/((-28)\/8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yiiyyyyyyyiyiy.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1545*d**2 - 1000*d - 1014*d + 2014*d to r*d**2 + f + w*d and give r.\nAnswer: -1545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -409 by 6.\nAnswer: -409\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-5) - (-2)\/(-10). Let g(k) = -k**2 + 13*k - 18. Let r be g(11). Suppose -r*b - 7 + 27 = 0. Solve -p*i + 0*u = b*u - 31, 19 = -2*i + 5*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n - 70*n + 405 = 5*l, -336 = -4*l - 2*n. What is the lowest common multiple of 1566 and l?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/(184\/80) + -11. Suppose 4 = 25*p + 79. Put -12, p, j, -7 in descending order.\nAnswer: j, p, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 218*a + 5014. Calculate y(-18).\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40894?\nAnswer: 2, 7, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3464032.\nAnswer: 3464032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79.5 - 8.5. Let g = c - -84. What is the third biggest value in 0, -1\/6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let j = h - -1. Let l = 0.07 - -0.03. What is the closest to -1 in l, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - 83*q**2 + 106*q**2 + 2*q - 6 + 151*q**2. Let r(x) = 173*x**2 + 6*x - 5. Let u(h) = 5*r(h) - 4*y(h). Is u(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Suppose w = d*w - 12. Find the third derivative of 5*g**2 + 0*g**w - 2*g**2 + 2*g**3 wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*b - 68 = 0, -2241*b = -5*u - 2224*b + 122 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2914646.8 rounded to the nearest one hundred?\nAnswer: -2914600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 215*b + 1087. Let i be u(-5). Solve 4*k - 12 - i = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (-1*sqrt(250))\/sqrt(5) - sqrt(50))\/((sqrt(20)*-2)\/sqrt(2)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 738 divide 3588156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - m = -18, 0 = -10*g + 15*g - 3*m - 34. Suppose 70 = -g*r + 86. Solve 4*y = -r - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8ec + -4?\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -43501280 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -137. Solve y + 2 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -882 + 903. Solve 38*k = x*k - 34 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v + 24*v - v**2 - 12*v. Let s(m) = 4*m**2. Give p(s(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 + 0. Let w = -0.3 - s. Let m = -0.7 - -0.2. Sort w, m, -0.3 in decreasing order.\nAnswer: -0.3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) + -2*(sqrt(99)*1 - sqrt(99))))\/(sqrt(36) - sqrt(144)\/(sqrt(4) - (sqrt(4) - (sqrt(4) + sqrt(12)\/sqrt(3)))))*2.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 1, -3\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccswccwwc?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -20.1394 and 181\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 175914116 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 + 2*i + 106. What is v(0)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 5424?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4446 by -2656.\nAnswer: -2223\/1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 19. Calculate x(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-4)*1*2. Let z = -3 - -3. Suppose z + 18 = 3*c. Solve 0 = -c*u + u + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjapzpzma. What is prob of sequence jza?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202429649.\nAnswer: 59, 3431011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 25*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 584849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (-2*sqrt(156)*2 - sqrt(156) - sqrt(156)) - sqrt(156))\/(1*sqrt(1452)) - (2*sqrt(78)*-5)\/(1*sqrt(150)))**2.\nAnswer: 3328\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/15 + 26*y\/3 + 476\/5 = 0. What is y?\nAnswer: -51, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 66352560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3\/6 + 9*z. Let h(x) = 7*x + 15 - 55 + 40. Give h(u(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i + 9*v + 8, 5*v + 10 = 0. Suppose 78 + 78 = 6*l. What is the greatest common divisor of i and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfwf when four letters picked without replacement from {w: 4, f: 16}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (2170 - -2) + (-6 + 10 - 6) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 6}. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -48\/17 (b) -1 (c) 9\/5 (d) 13 (e) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/28 + (-1)\/(-7). Let a be (2 - 1)\/((-6)\/(-204)). Let d = a + m. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, 0.32613?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -8. Is (87 + 5 + v - 5) + -2 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/4, 1, -7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -108672*2\nAnswer: -217344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (0 - ((-6 - (-1 - 1)) + -6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178787 (base 13) to base 14.\nAnswer: 115094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t - 3*t)*((-4 + 4 - 1)*(1 + 5 - 5) - 2 + 3 - 3 - 37 - 84 + 10 + 3 - 16 - 6) to the form k + j*t and give j.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/(g**(1\/2)*g))**21 assuming g is positive.\nAnswer: g**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2657 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/382108304 and -5\/24.\nAnswer: 1146324912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*b**5 - 3796288*b**4 - 14118049444*b**3 - 326128150200*b**2 + 250552965564*b - 47351009376 = 0. What is b?\nAnswer: -7403, -24, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303965 or 1\/5?\nAnswer: -303965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 18*m - 30. Give q(-6).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*p - 30. Suppose p = 2*b - b. Is b + 0 + -2 + 1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313027 + 444384. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1862343 or 20485766\/11?\nAnswer: 20485766\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*1)\/(4*-1*(-315)\/1260)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0, -107, 166, 129 in increasing order.\nAnswer: -107, -2, 0, 4, 129, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 6*g**2 + 9*g**2 + 84084 - 84084. Let c(l) = -334*l. Calculate u(c(y)).\nAnswer: 1338672*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118137633 - -118137631.087193425. Let h = 12.012807505 + k. Let d = h + -10.1. Round d to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6378245?\nAnswer: 5, 23, 37, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.056\nAnswer: 1.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -259*c + 309. Let s be m(17). Let y = -2984525\/729 - s. Is y less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 5.7543723.\nAnswer: -0.172631169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 5, q: 3}. What is prob of sequence dd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6975649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llb when three letters picked without replacement from bblbllllblblbb?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2600\/182 + 4\/(-14). Suppose -19*t + 170 = -n*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 469332, 938653, 1407964, 1877265, 2346556, 2815837, 3285108?\n\"Answer: -5*u**2 + 469336*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -502, -2020, -4562, -8128?\n\"Answer: -512*b**2 + 18*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let q = 26 + -20. Let i(f) = q*f - 6*f - 15*f**2. Calculate j(i(o)).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61350 divided by 5.\nAnswer: -12270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/47, 1\/3, 0.4, 2\/15?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1033, -1032, -1031?\n\"Answer: o - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.5, 0.16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1234535 (base 8) to base 9.\nAnswer: 571565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - 11.1. Let r = 8 + j. Let p be 1\/2*(-1 - 0). Which is the third smallest value? (a) -3 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6008354.7843 and -696.\nAnswer: -6009050.7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 7*b**2 + 5*b - 3. Let t be y(-6). Let l = t - 1. Put -5, -3, 5, l in ascending order.\nAnswer: -5, -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 92 = 5*t - 6*c, -5*c + 20 = 0. Suppose -28*o = -t*o - 16. Solve 8 + o = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16606 <= 17096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*m - 2*m**3 + 12*m - 6710 + 6699 to the form l*m**2 + o*m**3 + s + k*m and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y**(-1\/2)*y))))**(-34)*y\/y**(-8)*y**(-7) assuming y is positive.\nAnswer: y**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5235437, -5235454, -5235471, -5235488, -5235505, -5235522?\nAnswer: -5235539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t - 223 + 223.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 10*t + 20. Let o be a(8). Let n be ((-2)\/3)\/(6\/(-9)). What is the greatest common factor of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006715 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387158867*f**2*y**2 + 11894244*f**2 + f*y**2 - 10*f + y wrt y?\nAnswer: 774317734*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -11722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 6. Let x be m(-4). Suppose l - 3*g - 24 = 0, -l - 6*g = -x*g + 11. Suppose 0 = o - 3*r, l*o - 4*o = -r + 48. Solve o*h - 4*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/2 - n**4\/2 - n**3\/2 + n**2\/2.\nAnswer: n**2*(n - 1)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-1 + (-117)\/3)*(-21)\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*h + 58748, 28*h + 4*j = 33*h + 73453. What is h rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*a + 15, 3523 = -3*a + 5*l + 3550 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 93*j**2 + 95*j - 1107. What is the ten thousands digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*y - 6, 4*g - 7 - 2 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*-1*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/((sqrt(324)\/sqrt(9))\/sqrt(9)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 58*s**2 - 101*s + 2897. Calculate r(29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 22*k - 79. Give i(-29).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**4\/3 + 2*y**3 + 10*y**2. Let r be s(3). Is r\/(-90) - 1154\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-27)\/(j*j*j\/(j*j**(-9\/2)*j*j)))\/((j**(2\/49)*j)\/j**13) assuming j is positive.\nAnswer: j**(-1915\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-78)*(-3)\/(-2)*5608\/(-7010)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 122700.4?\nAnswer: 613502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = -g, 5*h + 10 = -2*g - g. Let j(c) = -c**3 - c**2 - 2*c - 2. What is the least common multiple of 33 and j(h)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77120 (base 9) in base 13?\nAnswer: 1a370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8970.279 milligrams to nanograms.\nAnswer: 8970279000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let q = 0.37 - -0.03. Let n = -2033 - -2032.8. Which is the nearest to n? (a) -2\/7 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00450414 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 177673333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -0*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(36\/21 - 1) - -1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 16 = 2*n, 5*n + 4 = -b - 11. Let w(j) = -5*j + 2. Let u be w(n). Let r = u - 11. Which is smaller: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, -57, -2.\nAnswer: -135, -57, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 4 + 4)*(2*b**2 - 3*b**2 - b**2) + (-1 + 1 - 3*b**2)*(0*b + 4*b - b) as a*b + j*b**2 + z + c*b**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3052606.94 to the nearest one hundred.\nAnswer: -3052600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*2681129\nAnswer: -13405645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 296*i - 10404. What is x(41)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -21?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 + 3*r**2)*(3*r**3 + 2*r**3 - 3*r**3) + (-r**3 + r**3 + r**3)*(-4*r**2 + 24*r**2 - 58*r**2).\nAnswer: -30*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 27*t + 30. Let l be y(16). Let b = l + 166. What is the highest common factor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y - 3655. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 18*x**2 - 13*x - 11. Is i(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -41*c. Let k(j) = 33*j**2 + 2*j. Calculate u(k(t)).\nAnswer: -1353*t**2 - 82*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:02 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 42*s. Let v(y) = -64 + 167 - 51 - 52 + 28*y. Determine -5*j(w) + 7*v(w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5604274557 - -14728?\nAnswer: 5604289285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -3)\/(2\/(-2)). Let b be p - (3510\/(-3) - 1). What is b rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12649.9 + 13680. Round i to the nearest 10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-4 - 1876\/(-301)) and -117\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:04 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/99*99\/66. Which is the second biggest value? (a) -2\/5 (b) -10 (c) 0.4 (d) 0.2 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 52 - 83 - 52 + 14*s. Is q(10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4*j - 7, 2*j = -50*v + 45*v - 65 + 12 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/600 and -133\/19248?\nAnswer: 481200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 48. Sort w, -54, -4.\nAnswer: -54, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 - 11025*f**4 + 8103370*f**3 - 1985315850*f**2 - 8103375*f + 1985326875 = 0 for f.\nAnswer: -1, 1, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140938319488388 - 140938063445468.999847. Let k = -256043131 + x. Let g = k - -212. Round g to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -8. Let y = 530.9 - 583. Let d = y - -51.9. Which is the closest to -0.16? (a) p (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -553241790.\nAnswer: -553241790.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10053.24632397 + -10735.24631. Let i = 682 + d. What is i rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118959 (base 11) in base 10?\nAnswer: 187493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220, -5, -1, -2.\nAnswer: -5, -2, -1, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 2 + 1 - 2*a. Let o be (4\/(-6))\/(1\/9). Determine p(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61090294?\nAnswer: 2, 30545147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chhngcchghhhihidnhd. What is prob of sequence ihic?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 1. Let m(p) = p**3 - 3*p**2 + 7. Determine m(j) - 3*t(j).\nAnswer: j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*d + 9*d + 10*d - 14)*(-2 - 1 + 6) as p + v*d and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -11*u + 20. Suppose u*a = 17 - 11. Suppose 4*t - 7 = a*t. Is t < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544416599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14 - 1820\/1911 - (6 - 460\/6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + -7. Suppose -2*q + 20 = -0*b + 4*b, q - 4*b + 8 = 0. Calculate the remainder when (20\/15)\/((-4)\/m) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i + 17 = -4*i. Let m be i*3 + 9 + 18. Calculate the highest common divisor of 9 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*j - 10, 15 = 2*j - 5*g - 11. Suppose 6 = -d + 5*f - 12, -j*f = -3*d - 6. Solve 2*h - 4*b - 2 = 0, -4 = d*h - b + 3*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60\/139 + 6563\/9730. Let v = 1013\/280 - i. Find the common denominator of v and 1\/(-4) + (-262)\/(-360).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 35955 - 90813 = 0. Is 7\/(28\/g) - (1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791332463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/9528 and -117\/31760.\nAnswer: 95280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 14)*(14\/(-2) - -3). Suppose d - n + 25 = 0. Let j = -4 - -5. What is the closest to 0.3 in -0.2, d, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**3\/g)\/(g**5*g))**(-2\/83))**(2\/13))**(17\/3) assuming g is positive.\nAnswer: g**(272\/3237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31914714 a multiple of 1078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 143*-2*(118404\/(-7865))\/414\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 386*o**3 - 2757*o**3 - 3.\nAnswer: -2371*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - -0.29. Let f(z) = -65*z**2 + 129*z + 3. Let d be f(2). What is the closest to d in x, 0.1, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*k**4 - 197929*k**2 + 198015*k**2 + 118*k**4 - 5437 wrt k.\nAnswer: 20*k**3 + 172*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 + 198437\/12*z**4 - 2*z - 1\/2*z**3 + 4*z**2. Let b be t(-8). What is b rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-4\/31)*l**2\/((l*(l\/(l\/(l**(2\/3)*l)))\/l*l*l)\/l))\/((l**(1\/3)*l)**41*(l**(-2\/7))**23) assuming l is positive.\nAnswer: l**(-1024\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 229? (a) 0 (b) 0.07 (c) -2008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w + 334. Calculate n(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 3)\/((-5)\/(-145)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -8. Suppose 1495 = -1206*l + 289. Sort -5, f, l.\nAnswer: -5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124 + -62?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.85151926 rounded to 4 decimal places?\nAnswer: 2.8515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (185 - 369 - 15267*s + 185)*(0 + 0 - s + (0*s - 3*s + s)*(-3 + 1 + 4)).\nAnswer: 76335*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**3 - 33195*x**2 + 4509770*x + 43273080 = 0?\nAnswer: -6772, -9, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4434 by 19876.\nAnswer: 2217\/9938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 - 3*y - 2. Let l be z(3). Suppose 3*k = 4*i + 7*k - l, k - 12 = -5*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3267, -10454, -21563, -36594?\n\"Answer: -1961*o**2 - 1304*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6414.\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 22 = -6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 90913?\nAnswer: 90914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*n\/(n*n**(-2\/3))*n)\/n)))**9\/((n*n\/(n*n**(-1\/7)))\/n**5))\/((n\/(n\/(n*n*n**(-1)))*n*n)**(-33)\/(n**(2\/5))**(-27)) assuming n is positive.\nAnswer: n**(3747\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2. Let b be x(1). Let z be (-31)\/b + (-1)\/6. Suppose -3*f + h + 20 = -3*h, -z*f - 4*h + 76 = 0. Solve 3*k = -k + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3794 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/(-33))\/(4\/(-126)). Let k be g - (-15)\/((-45)\/24). Does k = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176.7 + 155729563.\nAnswer: 155729386.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(2 - 38 - 8).\nAnswer: -88*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1895)\/(-758)*((-12)\/(-28))\/(100\/245)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let r be k(-4). Let i be 41\/13 + 7\/(91\/(-2)). Solve -r*d - 14 = 2*u, -i*d - 9 = 2*u + u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)*24\/(-2). Suppose 3 = 3*l - 33. Suppose -3*t - 2*s = -5*s + 12, l = -2*t + 3*s. Solve t = -2*y, -2*a + k - 4 = 4*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 a factor of 36141845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**3 - 3*y**2 - 3*y - 2. Let m be j(-2). Suppose -38*z - 10 = -m*z. Factor 3*k**z + 3\/5*k**2 - 6\/5*k + 0 + 27\/5*k**3 - 39\/5*k**4.\nAnswer: 3*k*(k - 1)**3*(5*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 378. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u + 1. Let q be d(-2). Suppose 3*t - 38 = -29. Sort t, q, -4.\nAnswer: -4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 24 - 3. Let w(b) = b - 7. Let u = -3 - -5. Let z(q) = 2*q - u*q + q - 6. What is h*z(n) - 6*w(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 10*m + 15. Let o be z(-7). Does 28 divide 126\/4*(-16)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - 5 + 5 + (2*c + 3*c - 4*c)*(-4 + 1 + 2) + 0*c - 3*c + c)*(-c**4 + 0*c**2 + c**2 + 0*c**4).\nAnswer: -7*c**5 + 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1288073842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(300) + sqrt(300) + -2 + -3 + sqrt(300) + -4)**2 + -2.\nAnswer: -780*sqrt(3) + 2868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5164*k + 25339. Give u(6).\nAnswer: -5645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + f + 1. Let t(c) = -64*c**4 - 15*c**2 + 7*c + 6. Let h(b) = -6*r(b) + t(b). Find the third derivative of h(z) wrt z.\nAnswer: -1536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265 - 1088*x**2 + 1075*x**2 + 265.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12817*q**3 - 12810*q**3 - 53 + 108 - 55.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -253*p - 3379. Determine t(-13).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12668800 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2479 - -6631. List the prime factors of (1*-1)\/((-12)\/s).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -2\/13, 6\/11, 9, 0.2 in descending order.\nAnswer: 9, 6\/11, 0.2, 1\/13, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-9) + 2\/(-6). Solve 3*b - 4 = k*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 6775758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*y + y**3 + 5 - 66*y - 7 in the form x*y**2 + c*y**3 + t + z*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 28 + 1812*c - 92 + 35 + 29.\nAnswer: -2*c**2 + 1812*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/4393215 and -49\/25.\nAnswer: 21966075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3371 (base 10) to base 7\nAnswer: -12554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**4 - 2*o**4 - 2*o**4)*(5 + 3 - 4) - o**2 - 4*o**2 + o**4 + 4*o**2 as q*o + x*o**2 + s + r*o**3 + g*o**4 and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27514835 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/91 and -53\/336.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2 + r - 2. Let g be s(2). Let i be (-1)\/3*g\/10. Put i, 3, 4 in descending order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -57, -34, -6, 197 in ascending order.\nAnswer: -57, -34, -6, 0, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 763366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxla when four letters picked without replacement from laxal.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o)\/(o\/o**(3\/5))*(o**(-1\/6)\/o)\/(o\/o**(1\/9)) assuming o is positive.\nAnswer: o**(-401\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -30. Let a be 7 + (-140)\/25 - 2\/z. Let w be 3*(1 + a) + -2 + 0. Solve w*f = 3 - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-2))\/4*(-2)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1064 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/162*-2*6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*t - 3. Let u(m) = -10*m**2 + m - 1. Let y be u(t). What is the tens digit of ((-36)\/y)\/((-15)\/(-50))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 5*t**2 + 8*t + 1. Let f be x(4). Let u(y) = -13*y - 72. Let o be u(-6). Calculate the greatest common divisor of f and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*l = 13, -n + 3*l + 13 = n. Let y = -3 + n. What is the nearest to y in 4, 1\/5, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021038 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 602*n + 13092. Calculate l(-22).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45616 + 1?\nAnswer: -45615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 134, 232, 328, 422, 514, 604?\n\"Answer: -s**2 + 103*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcmy when four letters picked without replacement from {x: 3, r: 3, c: 2, p: 1, m: 1, y: 2}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10570, -21180, -31828, -42514, -53238, -64000?\nAnswer: -74800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -2\/9, 2\/3, 0.3, 310, -0.09?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, -4*t = -2*g - t + 8. Suppose -g*w + 3 = -3*w. Suppose h + 0*h = p + 2, -w*h + 24 = 3*p. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7*t**3 + 8*t**3 + 24*t**3 + 10*t**3.\nAnswer: 35*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (21 - (-5 - (-42 - -15))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611.398732 rounded to two dps?\nAnswer: 611.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1110216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2241 - 1398. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**8\/6720 + 17*n**7\/2520 - n**6\/144 - n**5\/12 - 2*n**4\/3 + 9*n. Let d(c) be the third derivative of s(c). Is d(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54984837\/10 + -5488744. Let l = r - 9750. Find the common denominator of l and 79\/(1 + 22 + -1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 0 - (-103 + 25 - -45)) + 42.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/3 in -5, 4, -2\/5, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 173 - 52 - 63 - 58.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 53*h**2 - 56*h - 202. Let z be c(-52). Differentiate -35 + o + 7*o - 6*o + z*o with respect to o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -39. Calculate the remainder when y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1738 and -49\/21771294.\nAnswer: 239484234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {k: 1, q: 1, j: 1, l: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * 7.\nAnswer: -1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3\/3 - 100*k**2\/3 - 60*k = 0.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 + 5*p**3 + 105*p**2 - 225*p.\nAnswer: -5*p*(p - 3)**2*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 - 1878060*z + 176355468180 = 0. Calculate z.\nAnswer: 187806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138017 + 6*h**3 - 69004 - 69015 + 8*h**3.\nAnswer: 14*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3441*w**2 + 1142*w**2 + 1160*w**2 + 1144*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.083\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + sqrt(112) + -4 + 3)*-6*-1 + 5)**2.\nAnswer: -4560*sqrt(7) + 21965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -480.2 - -448. Let g = b - 32.2. What is g rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143734255 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -77. Let h be ((-2)\/8*-1)\/((-15)\/l). Determine b so that 0 - 2\/5*b - 1\/5*b**2 + h*b**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5\/b*b*b*b**24 assuming b is positive.\nAnswer: b**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 x, and 1 b when four letters picked without replacement from cgosxxb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*w - 159*w + 88*w - 1 + 4.\nAnswer: 14*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 6*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 11*k + 2709 = 71*k for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**5\/60 + q**4\/6 - 67*q**3\/6 - 55*q. Let k(t) be the second derivative of p(t). Let c(w) = w + 2. Give -13*c(j) + 6*k(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 11:12 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 462.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/3 + 668*q**3 - 502002*q**2 + 167668668*q - 21000500667 = 0. What is q?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**2 - f**2 + 7*f**2)*(-1 + 1 + f) + 4*f**3 - 5*f**3 - f**3 + (-f - 3*f + 3*f)*(-3*f**2 + 5*f - 5*f) to m + j*f + p*f**3 + z*f**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15084 and 16.\nAnswer: 60336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 4, n: 1, e: 4, k: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/2)*w*w\/(w**(2\/5)\/w) assuming w is positive.\nAnswer: w**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/(-63))\/((-10)\/(-15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppippppppppppppppppp. What is prob of sequence ppp?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 4933351.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -71 times 3277277\nAnswer: -232686667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 + 4 - (2 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, n: 2}. Give prob of picking 3 y.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(128\/(-8))*13\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61445, 122893, 184341, 245789?\n\"Answer: 61448*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let y = h - 1. Solve 0 = 2*x + x, d + y*x = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.455382l to millilitres.\nAnswer: 3455.382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3422*k = 134555 - 28473 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/25 + (-203)\/35. Let d be 56\/6*(9 + i). Calculate the highest common factor of 98 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 384 and 564.\nAnswer: 18048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - 1 - (5 + -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - -70. Calculate the common denominator of (-6)\/16*x\/(-15) and -9\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**4 + 3*w**4 + w**4 + (14 + 27 + 21)*(-5*w**4 - 9*w**4 + 12*w**4 - 13*w**3) to y*w**4 + g + a*w**2 + k*w**3 + z*w and give y.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) 0.5 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.6 - -4. Let y = -0.6 - h. Let p = -3.2 + y. Sort -1, p, -0.4 in increasing order.\nAnswer: -1, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 161?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69485 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 108*k**2 - 4329*k + 194294. Give b(84).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) 0.5 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**3 + 30*l**2 + 55*l - 5. Let r(y) = 11*y**3 - 31*y**2 - 55*y + 6. Let g(q) = 6*o(q) + 5*r(q). What is the second derivative of g(b) wrt b?\nAnswer: 6*b + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 5880 = -3*n. Is -4 + 4 + (-1 - n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 945058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -6. Suppose j*p = 193 - 33. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from {n: 2, t: 2, z: 4, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 0 - (-51)\/6) + -4. Which is the closest to -2\/7? (a) 0.04 (b) k (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38688 or -29\/5?\nAnswer: 38688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2417?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzzcffzczzfffzfzz. Give prob of sequence czz.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjjjhdljjjddd. What is prob of picking 1 d and 1 j?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -143263567068557 less than 2?\nAnswer: 143263567068559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150174 and 2781?\nAnswer: 150174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 + 4246*t**2 + 695*t - 50870103 wrt t?\nAnswer: 3*t**2 + 8492*t + 695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4264588.\nAnswer: 2, 19, 56113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -3\/4, 5, -4, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1346 + 1520. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(-4)\/(-48).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**3 - 8*m**2 - 50*m - 163. Let d(x) = 5*x**3 + 7*x**2 + 43*x + 161. Determine 7*d(v) + 6*w(v).\nAnswer: -v**3 + v**2 + v + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(63\/(25641\/74)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 188a25?\nAnswer: -188a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 1, j: 1}. Give prob of sequence xyj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -21.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-5*k**5 + 3*k**5 - 9*k**5).\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + 4*i + 3*i + 19)*(i - i + 2*i).\nAnswer: -2*i**2 + 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0 + 3 + 0\/(-11). Put -2\/3, y, -46 in descending order.\nAnswer: y, -2\/3, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -795\/19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 23. What are the prime factors of u(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/608 and 13\/256.\nAnswer: 4864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2. Let g be k(-1). Suppose -9 = x - 0*x + 4*o, 2*x - g*o = -6. Let f = -1 - x. Solve 0 = 3*v + 11 + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 45 = 4*z, -134*s - 15 = -137*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202967782 to the power of 1\/4, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 22*p**4 - p**3\/3 - p**2\/2 + p - 1. Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 664 - 665. What is the nearest to s in -2\/11, 0.02, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-214 + 14*w**2 + 214).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyerryeyyre. What is prob of sequence eyre?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 3*m**2 + 3*m - 10. Let r be d(-8). Let h = -295 + r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 2 + -14 + (-1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51027207 and 29158404?\nAnswer: 204108828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**3 + 7*c. Let s(k) = -5*k**3 - 4*k. Determine -4*q(a) - 7*s(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-8))\/((-12 + -4)\/(-64))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44730882 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: Let q = 0.007096 + 5170.592904. What is q rounded to the nearest 10?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 - 16*u. Let m(r) = -r**3 - 3*r. Suppose 2*p - 12 = 5*i - 0*i, 4*p = i + 60. Let a(f) = f - 7. Let z be a(4). What is p*m(l) + z*y(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 7*o - 7. Let c be (-3)\/6*8 - -10. Let p = -20 + 42. Suppose 5*l + p = -13. Let j(g) = -g**2 + 6*g - 6. Determine c*z(y) + l*j(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s. Does 3 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 2380*n - 3. Let t(d) = -2*d. Give t(c(i)).\nAnswer: -10*i**2 + 4760*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -258080 (b) -3\/28 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265*2178.\nAnswer: 2755170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36528632579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(400)*2)\/(sqrt(45) + (sqrt(45) - sqrt(405))).\nAnswer: -8*sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.21 + 0.21. Let j = 3.9 + -0.9. Which is greater: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -28. Let y = -4 - c. Let j = 40 - 37. Solve -v - 16 = y*i, j*v + 0*v + 12 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/117 + 1390092\/2574 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 8. Suppose 4*c + 3*k - 126 = k, 5*k = -y. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 846 divide 315021636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 6. Let w be n(3). Suppose 0*q + 3*k - 2 = 2*q, 8 = q + w*k. Solve 3*x + 1 = -q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3274 (base 9) to base 15\nAnswer: -ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c**4 - 275*c**2 wrt c?\nAnswer: 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 96 = -40*i. Suppose k = 2*k + i. Let g(c) = c**2 - c + 3. Let w(o) = -4*o**2 + 6*o - 16. Give k*g(q) - 3*w(q).\nAnswer: -4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.6 and 0.266?\nAnswer: -31.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 28 - 236 = 0. Is ((-3)\/8 + t\/(-128))*120 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwd when three letters picked without replacement from {h: 1, w: 1, d: 2, c: 1, b: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -13, 17, 97, 239, 455, 757, 1157?\n\"Answer: 2*z**3 + 7*z**2 - 43*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 10*y**2 + 4*y - 9. Let v be p(7). Let n be 27\/18*(0 + v\/(-3)). Let o = -66 + n. Let r(a) = -7*a - 1. What is r(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*b**6*p + 18070*b**3*p + 45*b**2*p - b**2 + 2*b - 8012*p wrt b?\nAnswer: 27720*b**3*p + 108420*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*a - 40, 461*r - 457*r - 40 = -2*a for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39\/27)\/(15\/(-18)). Let x = -14\/15 - s. Let j(r) = 2*r - 10. Let p be j(5). Which is the closest to p? (a) x (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.096549 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 1. Let q(a) = a**2 - 6*a + 1. Let s(u) = 3*h(u) - q(u). What is the remainder when s(-5) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + o - 0*o - 29, -5*o = -b - 19. What is the least common multiple of 1 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*l + 4 = -6, 0 = -2*o + 4*l - 8. Let y = 6 - 10. Let f = y - -5. Sort -0.3, f, o in descending order.\nAnswer: f, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + p - 2871 + 4*p**4 + 14*p**3 + 2873 - p**4 to n + d*p**2 + b*p**3 + o*p**4 + u*p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -79948062 and 1175.\nAnswer: -79946887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 2894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nine tenths of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/4))**46*((d\/(d*d*d\/d**2))\/d)**(2\/13))**(2\/15))**45 assuming d is positive.\nAnswer: d**(885\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (158 - 75) - -75.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.927 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*c = 58, -2*z + 4*c + 16 = -3*z. Let l = -7 - z. Suppose l*x = 3*x + 22. 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: Calculate the greatest common divisor of 2416152 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2952774 is divided by 6531?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593, 2371, 5343, 9515, 14893?\nAnswer: 21483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883890 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 338*o + 3040. Determine i(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11388 and 312?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 5*h**2 - 3*h. Let p(s) = -s**3 + s**2 - s. Let v(w) = 12*w + 12. Let u be v(-8). Let l = 83 + u. Give l*n(b) + 3*p(b).\nAnswer: -b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82205146 by -2.\nAnswer: -41102573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5889 (base 11) to base 2\nAnswer: -1111000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*n*u**3 - 5*h*n*u**2 - 8*h*n + 48*n*u**3 - 5*n*u**2 - 5*u**3 wrt u?\nAnswer: 18*h*n + 288*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7 - -4) + -3 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let p(f) = -f**2 - 5*f - 3. Let t be p(v). Let m = -6 - -4. Which is the second biggest value? (a) t (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000112771386 to 6 dps.\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*n - 13 = -n, 3*x - 4*n - 26 = 0. Let a(s) = -8*s + 3*s**2 + 5 - 2*s**x + 1 + 6*s**2. Is a(5) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 72. What is the remainder when 96 is divided by (396\/15)\/(-4)*(u - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 2 = 4*b. Suppose -4*h - 1 = -137. Calculate the remainder when h is divided by (-30)\/b*(-24)\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 - 12*b**3 - 6*b**5 + 5*b**5 + 3*b**4 + 3*b**5 - 3*b**4 + (-2*b**3 + 0*b**3 + 0*b**3)*(1 - 1 + b**2) + 0 + 6*b**5 + 0.\nAnswer: 5*b**5 - 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -475756, -951453, -1427150, -1902847, -2378544, -2854241?\n\"Answer: -475697*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 102 - 10. Suppose 26 = -10*j - 204. Is j bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Put -5, y, 0.2 in descending order.\nAnswer: y, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 562 + 78. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-2\/13)*t)\/t**2)\/(t**(1\/3))**15)**(4\/21) assuming t is positive.\nAnswer: t**(-72\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-9))\/((-4)\/246). Suppose 0*i - s = -m + i, 3*i + 12 = 0. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2464 and 4088.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -25*s + 14*s**3 - 8*s**4 + 14*s - 8*s**2 + 20*s**3 + 11*s = 0.\nAnswer: 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16*(0\/(-2) - (-86)\/903).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81, -314, -835, -1782, -3293, -5506?\n\"Answer: -23*v**3 - 6*v**2 - 54*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 18 + 7*d + 2*d**2 + 3 - 3*d**2 + 1. Let i be c(9). Solve -5*k + i*k + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17363*s**4 - 52757 with respect to s.\nAnswer: -69452*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 31*m. Suppose 12 = 4*c - 0. Let n be (-6)\/(-27) - (-91)\/(-126)*-8. Let k(d) = -c*d**2 + n - 6. Calculate k(o(w)).\nAnswer: -2883*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 8*f**2 - 15*f - 14. Let u be s(-6). Suppose -u*n - 138 = -a, n - 606 = -5*a - 0*n. What are the prime factors of a?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5084 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014287835 to 6 dps.\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*0.1325.\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/p**(-4\/3)*p)\/p)*p**(-25))\/(p**(-15))**(-13))**(-4\/29) assuming p is positive.\nAnswer: p**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - -3) - (-3 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 9*o**2 - 11*o - 3. Let j be h(7). Is 14 a factor of 5*10 - j\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/52*(2 - 18). Let f = 73\/65 + u. Which is the nearest to 0? (a) f (b) 5\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = -5*y + 20, -4*h + 22 = 2*y. Let o(q) = -q + 6. Let s(x) = x - 6. Let v(f) = 2*o(f) + 3*s(f). Give v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2635.825 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -149, -344, -621, -980, -1421, -1944?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 118 = -2*h, -1301*h = -1294*h - 21 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -199683, -399195, -598537, -797709?\n\"Answer: 85*a**2 - 199767*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.6. Let y = 311 - 311.4. What is the closest to -1 in j, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-84)\/(-3))\/((-2)\/4). Let u = h - -294. Is ((-10)\/(-4))\/(7\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -72, -38, -3, 0, 18, -2 in ascending order.\nAnswer: -72, -38, -8, -3, -2, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 5*j**2 - j**2 + 1797967 + 1797958 - 3595925.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28271443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 65 = 5*a - 0*a, -3*a + h = 39. Let g(t) = -t**2 - 14*t - 15. Let n be g(a). Let p be (-5 + 6)\/(n\/4). Let d(m) = 2*m + 1. What is d(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 + g**2 - 2*g - 7. Let r(i) = 9*i**3 - 3*i**2 + 4*i + 14. Let h(t) = -7*d(t) - 3*r(t). What is h(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - (88 + -79).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m + 73. Let i(x) = -4*x - 75. Let z be i(-23). List the prime factors of b(z).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62626*x + 149859 wrt x.\nAnswer: -62626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130368 and 7760.\nAnswer: 651840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.5 - -27. Put t, -8, 0.1 in decreasing order.\nAnswer: t, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 148. Let h be i\/(-15) - (-42)\/35. Solve -3*w = -h*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:49 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 147\/30)\/(5\/(-50)). Is 7\/16 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 11990*h**2\/7 + 817788*h\/7.\nAnswer: 2*h*(h + 69)*(h + 5926)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 116442898*w + 61*w**2 + 0 + 116442903*w to g + n*w**2 + v*w and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 1642241?\nAnswer: -1642230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22235?\nAnswer: 5, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41000 - -5?\nAnswer: -40551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(88) - sqrt(88))*3)\/(sqrt(11) - sqrt(275)*-3)*-4)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:03 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.19, 1\/4, -8.2, -50?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 19*n**2 - 6*n - 4. Let t(f) = 3*f**2. Calculate i(t(c)).\nAnswer: 171*c**4 - 18*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*282194.\nAnswer: 564388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1652039000 to the nearest one million.\nAnswer: 1652000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 14 = 58. Let r be 40\/60 + o\/3. Let m(a) = -a**2 - 15*a - 6. Calculate the smallest common multiple of m(r) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-2 - (-60 + 28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*o**2 - 32684 + 32684.\nAnswer: 439*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/6*(-6)\/8. What is the units digit of (k*4\/8)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -25. What is the nearest to v in 0, 2, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90.2 + -0.12.\nAnswer: -90.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72)\/(-15)*5330\/(-328). Which is greater: -76 or p?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 7, j: 2}. Give prob of picking 1 j, 2 e, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2038, -5000, -9922, -16792, -25598?\n\"Answer: 2*z**3 - 992*z**2 - 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 268, 276, 284, 292?\n\"Answer: 8*a + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 20*v. Let l be f(-21). Differentiate 0 + l*b - 34*b + 8 wrt b.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -37. Let m be (-12)\/r*(2 + (-2168)\/(-6)). Let t = -296 - m. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7375 a factor of 532157875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 12*o**2 + 3. Let c be i(12). Suppose 7*k - c*k - 40 = 0. Suppose j - 4 = -4*l, -k = 5*l + j + 4*j. Solve l*v + 0 = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733.185 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvyvvyyyvvvyy. What is prob of sequence vyy?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 w when three letters picked without replacement from {w: 1, e: 2, q: 5, o: 5, b: 6}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s - 2*x = -2, -5*x + 5 = -3*s. Suppose -3*c + 3*u + 21 = -s*c, 5*c + 3*u - 27 = 0. Let l = 19 - 13. Is l bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*((-3)\/(-2))\/(-3). Suppose -g*z - 1040 = z. Let r = z - -203. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15516, 15665, 16020, 16683, 17756, 19341, 21540?\nAnswer: 24455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -22536.3338 to 0 decimal places.\nAnswer: -22536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5130\/8 + (114\/24 - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k\/k**(-2\/5)*k*k))*k**(2\/23)*(k*k**(-2\/3))**(-7) assuming k is positive.\nAnswer: k**(743\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195 - 200. Let p(r) = -39*r**2 - 34*r + 4. Let v(z) = -79*z**2 - 67*z + 10. Let j(c) = w*p(c) + 2*v(c). What is the second derivative of j(i) wrt i?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = -4*a, 2*a + 5*l = 2*l - 4. Suppose 2*r + 0*o = 4*o - a, 3*r - 12 = -3*o. Factor 2*h**r + 16*h - 5*h**2 - 25*h.\nAnswer: -3*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 6*s**2 + s + 4. Let m be g(-6). List the prime factors of 475\/10 - (-1)\/m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayygaeerayggyaaete. What is prob of sequence aaay?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w + 24. Let l be (-2)\/8 - 14\/w. Let r = -9.9 - -10. Which is the closest to r? (a) -1\/8 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 + 48*w**3 + 384*w**2 + 832*w + 576 = 0. Calculate w.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by 6?\nAnswer: -187\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58, 18, -34, -104, -198, -322, -482, -684?\n\"Answer: -q**3 - 33*q + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -23 (b) -0.2 (c) 12 (d) -9 (e) -0.4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*i**6 + 304*i**3*j + i**2 - j - 25048 wrt i?\nAnswer: -5280*i**3 + 1824*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*l = -2, -g - 5*l + 23 = -6. Let v = g - 2. What is the second derivative of 2*y - y**3 + 0*y + v*y**3 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 328110630*d**3 - 9982*d**2 - 1338?\nAnswer: 1968663780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/(l\/(l*l*l**(2\/13)))*l)\/l)\/l)**33*(l*l*l*l**1*l*l)**(-4\/17) assuming l is positive.\nAnswer: l**(15396\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56054 * -0.08\nAnswer: -4484.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c**5\/19 - 4*c**4\/19 + 26*c**3\/19 - 12*c**2\/19 = 0. Calculate c.\nAnswer: -2, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x + 18*x - 579 = 226 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279040 and 545.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, r: 7}. What is prob of picking 1 d and 1 r?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/8, -5788, 0.4, 2, 5.\nAnswer: -5788, 0.1, 1\/8, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/7 - 146*k**2\/7 + 1180*k\/7 - 256 = 0. Calculate k.\nAnswer: 2, 7, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 2, l: 4, i: 7, y: 1}. Give prob of sequence lw.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -533, 2339, 12039, 31981, 65579?\n\"Answer: 569*v**3 - 1111*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 6. Let c be (1\/p)\/(12\/(-8)). Solve c*j**2 - 1\/3 + 0*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 4*y + 499. Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1197 and 45449463?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. Let y = -6.445 + 0.145. Let u = -2.3 - y. What is the biggest value in g, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/48)\/((-1)\/(-2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2559 is divided by 1265?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -54*f - 5. Let v be p(-2). Let t = -89 + v. Suppose 21*x - t*x = 854. Is x a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 9*p - 10. Let l be b(10). Let o = 10\/7 - 95\/42. Which is bigger: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 k when three letters picked without replacement from {x: 9, k: 4, t: 6}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 461953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 28 - h**2 + 16)*(1 - 4 + 5) as x*h**2 + a + k*h and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.197504 + -67.198294. Let z = -67 - d. What is z rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1065 or 14346?\nAnswer: -1065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*h - 46 = 0, 3*s = -2*h - 2*h + 38. Suppose -2589 = -107*w + 86. Calculate the highest common divisor of s and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by 170?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) - 32\/(-36). Let m be (-21)\/24*(-3)\/7. Let y = -430 - -434. What is the nearest to u in 2\/19, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8584360 and 9442796.\nAnswer: 94427960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 471000 rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/(600\/49200).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15390972 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -60. Suppose -b - 2 - 1 = 0. List the prime factors of 1 + (b - -2) - v*17.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -4, 40713.\nAnswer: -4, -0.1, 3, 40713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -12. Let o be 1 - z\/(-8) - 0. Let b = -170 + 169. What is the third biggest value in o, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25775731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1601600 divided by -400400\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**3 - 191 + 181\/2*b**2 - 51\/20*b**5 + 0*b**4 - b. Differentiate q(p) with respect to p.\nAnswer: -153*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 33*b - 140, -17 = -2*b + 4*g - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrpupsuguupz. What is prob of sequence zg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9542826 years to millennia.\nAnswer: 0.0009542826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1298388153 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 2. Let i(o) = 135*o**2 - 55. Determine -110*g(n) + 4*i(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/360 + t**4\/36 - t**3\/12 - 2*t**2 + 12. Factor b(m).\nAnswer: -(m - 3)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -951*r**2 + 1038*r wrt r?\nAnswer: -1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*h - 7 = 0, u - 2*h - 15201 = -15199 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, -5, -29, 22 in ascending order.\nAnswer: -29, -5, 1, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-910)\/819)\/((-29)\/(-3393)).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17453337*f**3 - 30328731 wrt f?\nAnswer: -52360011*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*g + 1 + 48, 0 = g - 2*z - 32. What is the highest common divisor of 104 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5695 (b) 2 (c) -1 (d) 1\/6 (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 16 = -4*l, s - 1 = -2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9\/2, 5, 2\/9, 0.01575?\nAnswer: 0.01575","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(1\/43))**(8\/11) assuming u is positive.\nAnswer: u**(-16\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/17544 and 151\/408.\nAnswer: 17544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*t + 43 = -47, 4*m + t = 101. Suppose -4*x + 3*l = -2*l + 8, -2*x = 5*l - m. What is the second derivative of g**2 + 7*g - x*g + g**2 - g wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 25*k = -5*g - 120, k = -9*g + 5*g - 91 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 6*c + 173. What is the remainder when c is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8518 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950541, -950502, -950445, -950376, -950301, -950226?\nAnswer: -950157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 826 and 59?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2336*a = 638*a - 119275 + 25394 - 13093 for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.626 to 1 decimal place.\nAnswer: 80.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814485 is divided by 1903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4 in increasing order.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:18 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/4))**(-5\/9))**(-5\/6) assuming w is positive.\nAnswer: w**(25\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - (4 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.563 + 2.05. Let h = 0.42 + a. Round h to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-16))\/(-5*(-12)\/(-40)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-449)\/(-5) - 17\/(-85). Suppose -15*k = -0*k - n. Calculate the remainder when 17 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7*v - 633 = -471. Let h(d) = d**3 + 18*d**2 - 4*d - 63. Determine h(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*y + 26, -4*y + 5*u + 45 - 16 = 0. Suppose 4*q - y*q + 18 = 0. Suppose 3*d - q = -0*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13021126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 5 - 3*p - 3 + 0*p**2. Let l be c(-3). Let n be l + 587 + 3 + -2. Round n to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 25 = -11*l. Suppose 3*y + 15 = 3. Which is bigger: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3996, -2\/13, 160 in increasing order.\nAnswer: -3996, -2\/13, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5593 + 7?\nAnswer: 559a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -485.8 + 1765.4. Round c to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336336 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 38. Suppose -41 = -p*l + 4*t, 11 = -l - 5*t - 4. Let u be (l - (0 - 0)) + 0\/2. Solve d = u*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.73517 + -0.07483. Let b = r + 48. Let a = -0.29 + b. What is the closest to -1 in 1\/12, 1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-1 - -2))\/(-2). Suppose z = 4*v + v - 50. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/836 and -111\/49852660?\nAnswer: 947200540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 50*c - 131. Let t be a(-17). Let r = t + 388. List the prime factors of r.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95463 rounded to 2 decimal places?\nAnswer: 1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 4. Let b be m(0). Let k = 17 - 157. Let n = 140 + k. Put 2, n, b in ascending order.\nAnswer: b, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q - 2*q + 0*q)*(2 - 1 + 0)*(7*q + q - q)*(-1 + 3 - 3) to the form h*q**2 + k*q + v and give h.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -139, -199, -239, -253, -235?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2\/8 - 3511*j + 2809\/2 = 0. What is j?\nAnswer: -5618, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Suppose -4*v = -3*z - 14, 5*z + 51 = 41. Let r(g) be the second derivative of 27*g + 0*g**v + 0 + 9\/2*g**3. Calculate t(r(o)).\nAnswer: 1458*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 - -136. Let h(o) = 14*o - 20*o + b*o + 2 + 22*o. What are the prime factors of h(2)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-270)\/(-168))*2\/((-64)\/6)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 251*n - 490*n - 2*n**2 + 239*n. Let s(o) = 13*o - 16. Calculate s(h(w)).\nAnswer: -26*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3804323*y**5 + 3804498*y**5 - 9*y**6 - 87*y - 3*y**3 - 12*y**2 - 24*y wrt y.\nAnswer: -1080*y**3 + 10500*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*k = -1330, -6*k - 245 = -h - k. Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 3*n + 3*d, 204 = n - 5*d + 79 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456123.\nAnswer: 3, 152041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1616761.\nAnswer: -8\/1616761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7554092 - 1?\nAnswer: -7554093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919336 is divided by 4974.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -226510 rounded to the nearest 1000?\nAnswer: -227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let d(c) = c**2 - 1. Let k(l) = -1. Let t(g) = d(g) - k(g). Give t(i(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6)*0)\/(-2). Is 18 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*i - 1965 - 4035, -3*x = 2*i - 3596. Calculate the common denominator of 1\/2*46\/2 and x\/672 + (-4 - 93\/(-21)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646.7 times -0.3\nAnswer: 194.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(sqrt(2592) + sqrt(2592) + 0))**2 - (sqrt(384) + -2*(sqrt(384) - -2*sqrt(384)))\/(sqrt(48)\/sqrt(4)*-4).\nAnswer: 571*sqrt(2) + 41476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/2)\/(-2*1). Let j be v + -2 + -2 + 13. Suppose -2*x + j = 0, 5*b + 4*x - 26 + 6 = 0. Put -3, 1, b in decreasing order.\nAnswer: 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 2*i - 12*x + 8, 2*x - 40 = -5*i. Calculate the highest common factor of i and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -25. Suppose 29 = 3*p - 5*q, 2*p + p + w*q = 1. Suppose -5*u - p*t = -331, -75 + 424 = 5*u - 3*t. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-41 - (-26 + -19) - (1 - 0))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**2 - 1\/4*l - 3\/2.\nAnswer: (l - 3)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565 - 10416?\nAnswer: -4851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 1 - 77*q + 0.\nAnswer: -77*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -1, -7\/6, -0.2, 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232 + -230. Suppose -5*q + 3*q + 11 = 3*i, 0 = -3*i + 4*q + 5. Let u = i - 0. Solve 4*l - 10 = -h, 3*l + 5*h = k - u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l - 4*l**2 - 3 - 2*l - 5*l**2 - l. Let h be v(-4). Let q = -61 - h. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 + -10000112?\nAnswer: -2222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 3}. What is prob of picking 2 z and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + ((-192)\/18)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 88*d**4 - 4*d**3 - 52*d**2 - 8. Let f(h) = -87*h**4 + 5*h**3 + 52*h**2 + 9. Let i(x) = 6*a(x) + 5*f(x). What is the third derivative of i(z) wrt z?\nAnswer: 2232*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y**38*y))))**(-24)*y**(-5)\/y**(-1\/18) assuming y is positive.\nAnswer: y**(16327\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 13*t**2 - 7*t - 8. Suppose 42 = -41*u + 38*u. Is 26 a factor of m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 2\/(-6)*-3. Let n be (-1 - l) + 3 + -6. Put -0.2, n, -0.1 in increasing order.\nAnswer: n, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2*15\/6. Sort v, -34, 2\/11 in increasing order.\nAnswer: -34, v, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -426, -623, -802, -957, -1082?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3379\/15 <= 225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.369*-19.4\nAnswer: -7.1586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/60 and -22\/159?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let z(s) = s**3 - 7*s**2 + 6*s - 1. Let y(k) = -5*h(k) - z(k). Suppose -3*j = -3*x + 2*x - 17, -5*x = -5*j + 15. Give y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97786475*z + 66*z**3 + 97786475*z.\nAnswer: 66*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.3, 1, 5.67, 0.5 in decreasing order.\nAnswer: 5.67, 1, 0.5, 0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1094*r**2 - 449639*r - 2053. Give c(-411).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*a + 32, 0*v + 2*a - 12 = -v. Suppose v = 3*g + c, 5*c + 4 = -5*g + 2*g. Let d be 1\/g + 3\/(-2). Which is bigger: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 5*r + 10. Let x be z(6). Suppose -29 + 9 = -x*d. Suppose -4*h - h = -d*n - 50, -5*n - 25 = 0. Solve f - h = -1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 667200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000229436702 to 6 decimal places.\nAnswer: 0.000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1407814 and 1407814 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6, 5*x - 92 = 3*q + 4. Suppose -6 = -0*y + 2*y, 2*f + y = x. Suppose 0 = -4*h + f, 0 = -2*a + 3*h + h + 12. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8099)\/(-28)*(-5164)\/(-16783)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(24\/8)*4\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 34) + (-1 - -3 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from uooruukhvor.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 3\/1 - -2. Let z be 335\/(-30) + (-7)\/(-126)*3. Put 0, z, a in decreasing order.\nAnswer: a, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 40. Suppose 0 = i*f + 2*t - 13, 0 = 2*t + 4 - 2. Solve j - 2*h - h - 14 = 0, 0 = 5*j - f*h - 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.89 minus 2?\nAnswer: -45.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41273*j - 41280*j + 4 + 9 - 2 - 1.\nAnswer: -7*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 294 + 91 = 0. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 65*u**2 - 216*u - 1382. Give m(-68).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:19 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 - -342. Suppose -v + y = -392. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 51\/5, -3, 101\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*v - 16*v + 60. Sort v, -13, -3, -2 in decreasing order.\nAnswer: -2, -3, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 + 114*u**2 + 397*u - 359. Determine v(-34).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 4*j**2 - 9*j - 10. Let y be m(7). Calculate the remainder when 2*-1*y\/(-4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211 (base 13) to base 4.\nAnswer: -213311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 = 2*m - 3*p, 2*m = -2*m + 2*p + 1674. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f - 53593 = -43*f - 5*u, 0 = 2*f + 3*u - 53607. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 73 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 10. Let v(y) = -48*y + 159. Let z = 76 - 43. Let q(p) = z*w(p) + 2*v(p). Let n be (6\/(-5))\/(282\/(-1880)). Determine q(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3 + z**2 - 4 + z + 26 + 22. List the prime factors of h(-9).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -78. Suppose 20 = c + 4*c. Calculate the greatest common factor of c and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13019503*u**5*z**2 + 198*u*z**2 + 142*u*z - 119*u wrt u?\nAnswer: 260390060*u**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/30 - c**5\/6 + c**4\/6 - c**3\/3 - 1107*c**2. Let v(z) = -13*z**3 - 30*z**2 + 13*z - 7. What is -7*s(x) + 2*v(x)?\nAnswer: 2*x**3 + 10*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 1063836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20989 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 3}. What is prob of picking 3 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19030 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 147?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*i + 605. Let p = i + -257. Calculate the remainder when 62 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 = -a - 32, 4*x - a - 28 = 0. Calculate the remainder when 34 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27664502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-2 - (-9 + 0)) + -670 + 677).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -791 + 793. Let k = 33 + -19. Let t(c) = -k*c**2 - 17*c**x - 8*c**2 - 15*c**2. Let m(a) = 2*a**2. Give m(t(i)).\nAnswer: 5832*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 94*k - 8*k**2 + 18*k - 52*k + 9*k**2 as d*k + p*k**2 + h and give d.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 287\/(-9) - 196\/1764. Suppose -d - 3*d = -196. Let s = l + d. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-25 - (-49 - -3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2077 divided by 29\nAnswer: -2077\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 9*o - 10. What is j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:23 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, 170, -5 in ascending order.\nAnswer: -15, -5, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1172, -2187, -3042, -3737?\nAnswer: -4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*b + y, -b - 3*y = 3*b - 68. What is the units digit of ((-6)\/(-10))\/(4\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/5 + 6*o**2 - 2*o\/5 - 6 = 0?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + 77*d - 412376. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2670.0000492 + 2670. Round g to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/120 - c**5\/20 + c**4\/12 - c**3\/3 + 7*c**2. Give s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 21. Let x(b) be the first derivative of -b**4\/4 - 2*b**3 + 13*b**2\/2 - 15*b - 4878. Does 3 divide x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 47. Suppose -5*u + 24 + i = 0. Let s(f) = -2*f**2 - 7*f - 9*f + u*f + 2. Let m(z) = -z**2 + 1. Determine -7*m(w) + 3*s(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 779606*l + 3898053. Calculate i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 22, 51, 92, 145?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1387 or -1386?\nAnswer: -1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16 from -6068.87446.\nAnswer: -6084.87446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101112121 - 10011?\nAnswer: -10101122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, 2, 686874\/91 in increasing order.\nAnswer: 1\/4, 2, 3, 686874\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 2*r - 4 + 11*r)*(-17 - 2*r + 20 + 15).\nAnswer: -14*r**2 + 134*r - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (260\/15)\/((-1)\/(-3)). Suppose -2*t + o = -2*m, -m + 0 - 4 = 0. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-398*s + 5782*s - 2101*s)*(-1 + 13*s + 2*s**3 - 13*s).\nAnswer: 6566*s**4 - 3283*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f. Let v be 10\/(-45) + (-748)\/36. Let b = v - -21. Solve 5*c + 2*t + 3*t + 10 = b, f = 3*c - 4*t - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 3*q**2 - q**2 - 5*q**2 - 24*q + 27*q + 12*q**2 + (2*q - 2*q + q**2)*(-1 + 3 + 0) in the form p*q**2 + r*q + y and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00265148464 rounded to five dps?\nAnswer: 0.00265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Let k(u) = -1 - h*u - 4*u**2 + 5 - 2*u**3 - 3 - 2. Determine k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117*h**3*i + 3*h**3 + 73*h**2*i - 11*i + 2045 wrt h.\nAnswer: -351*h**2*i + 9*h**2 + 146*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q\/q**(1\/4))**(-18\/7)\/(q**(-10)\/q**(-2))**0 assuming q is positive.\nAnswer: q**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6*z**2 + 114*z - 4*z**2 + 78*z + 126*z + 2*z**2.\nAnswer: 4*z**2 + 318*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - c**2 - c**4 + (-3*c**3 + 2*c**3 + 3*c**3)*(4*c - 5*c + 0*c) + c**2 - c**2 - 2*c**4 + 2*c**3 + 10*c**2 - 4*c**4 + 5*c**4 + 0*c**4.\nAnswer: -4*c**4 + 2*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6042\/12)\/(-1))\/(5\/(-10)). Let r = -194 - a. What is r rounded to the nearest ten?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, -3, 15052.\nAnswer: -3, -2, 2, 4, 15052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n + 1014 = 2304 + 2742 - 384 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m + 39 - 229 = 0. Solve 2*h - h = m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 1. Let r(c) = c. Let v(j) = 2*r(j) + z(j). Let w be v(3). Let d(s) = s**3 + 5*s**2 + 4*s + 6. What are the prime factors of d(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745428277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12 (b) -8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 53*w**2 - 489*w - 63. What is f(-61)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:06 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1232896 and 154112.\nAnswer: 1232896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6927 - 6928. Which is the nearest to -0.2? (a) i (b) -2 (c) 1\/4 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*p**3 - 173*p**2 + 29911 wrt p?\nAnswer: -87*p**2 - 346*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7844.357179 + -7844.4. What is x rounded to three decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/224 + 113\/672. Suppose v*m**4 + 0*m + 0*m**2 + 0*m**3 + 0 = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -34 and -32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.357816 litres?\nAnswer: 8357.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174928 and 207727.\nAnswer: 3323632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.4. Let t = -0.08 + 0.11. Let z = -1.03 + t. Is p < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1060 - -4056. Suppose -6 = -3*h, -7126 = -4*i + h + d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2553 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-84)*(-4935)\/(-3760).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h + 87*h = 36*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 - 2.1. Let m = 0 + 0. Let t = 0 - m. Which is the nearest to t? (a) -0.1 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iviivvvviiviv.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r - 22*r + 3 + 0. Let f(l) = 5*l + 4. Let m(q) = 5*f(q) - 4*w(q). Give m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -89, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 3915.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 120, 154, 0.15, -0.5, -3, 2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m. Let x be (-1)\/(-2) + (-2)\/(-4). Let s(n) be the second derivative of n**4\/6 + 4*n**3\/3 - 6*n. Let l(u) = x*s(u) + 4*i(u). Factor l(d).\nAnswer: -2*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11*s - 7. Let p(d) = 5*d - 4. What is 7*p(h) - 4*w(h)?\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -435 divided by -87\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*p = -292*p - o + 3022, 2*p - o = 3026. What is the smallest common multiple of 252 and p?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69 minus 514133163?\nAnswer: -514133164.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -57. Let u = 7 + -11. What is the second smallest value in o, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, o: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiztitzztzit. Give prob of sequence tzt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 11*z = 9. Suppose 2*k + 13 = -m - z*k, -k = -4*m + 11. What is the greatest common factor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -146*u**4\/3 - u**3\/3 - 251*u**2\/2 - 8*u - 69. What is the second derivative of x(s) wrt s?\nAnswer: -1168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 868541 = -256949 - 554318. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 9*d**2 + 27*d - 24. Let s be z(3). Solve -s*h + 17*q = 16*q - 14, -h + 2*q + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15 - 114*x**2 - 109*x**2 - 237*x**6 - 165*x**6 + 216*x**2 wrt x.\nAnswer: -48240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 2}. Give prob of sequence gf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p**2 - 6*p + 9. Let u(t) = 9*t**2 - 4. Let q(k) = k**2 + k - 1. Let a(l) = -5*q(l) - u(l). Let m(c) = 4*a(c) - 5*f(c). Factor m(j).\nAnswer: -(j - 9)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1884)\/28 - -4) + 2. Let v = b - -61. Let q = 166 - 165.5. What is the biggest value in -5, 1, q, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*j. Let x be 10\/4 + (4199\/78)\/(-19). What is the nearest to x in j, -1\/11, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -11 + 39. Let g = -9 + 6. Let x = g + n. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -3\/8, 4, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0 + 0*s**3 - 3*s + 7\/6*s**4 + 1\/20*s**5 + 11\/2*s**2. What are the prime factors of u(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/(-48))\/((-1)\/(-20)). Solve 4*s = 9*s - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7102316 divided by 7484\nAnswer: -949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(4*m**3 - 5*m**3 - m**3)*(2*m**2 - 2*m**2 - m**2 + (3*m + 4*m - 5*m)*(m - 5*m + 3*m) + 2*m**2 - 2*m**2 - 2*m**2).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(209) - sqrt(209)))\/(1*sqrt(176)) + (-1*sqrt(133)*-1)\/(sqrt(252)*1).\nAnswer: 29*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*w = 4*d - 8, -4*d + 4*w = -16. Suppose 0 = -q - 3*p + 24, d*q + 3*p = 4*p + 122. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*y - 6, -2*x + 2*y = -0*y. Let o = -1543.1 + 1543. What is the closest to x in -0.2, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.84 - 11. Let q = s - -0.063. Round q to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 10*l = -96. Calculate the highest common factor of 928 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.9 times -112?\nAnswer: 11188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2025*5.3.\nAnswer: -10732.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 107. Let t = -4181\/8 + 522. Is r equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c112a (base 16) to base 6.\nAnswer: -24541122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*k**3*n - 57210666*k**3 - 2*k**2*n + 2*k*n - 25571*n with respect to n.\nAnswer: 33*k**3 - 2*k**2 + 2*k - 25571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0) + 2 + -7 + -10 + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.57 + 0.07. Let y(h) = -h**3 + 6*h**2 - h + 6. Let w be y(6). Which is the closest to w? (a) -2\/15 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2000*h**3 + 1400*h**2 + 555*h + 45.\nAnswer: -5*(h - 1)*(20*h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + -3 - 3 - -10. Suppose 26*s = w*s + 2952. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 5*m)*(-4*m + 4 - 4) + 242 - 242 - 46*m**2.\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 take away 72?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = 3*s. Solve 5*h - h = s*r - 28, 0 = 3*h + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -27360*w**2 - 13*w - 4. Let k be i(12). What is k rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07 and 359222?\nAnswer: 359222.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 9*r. Suppose -7 = -4*d + 13. Let p be (-41)\/(-5) - ((-19)\/d + 4). Solve r = o + o - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/10 + 4*o**3\/15 - o**2\/5 - 140. Factor n(l).\nAnswer: -2*l*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(8\/288). Suppose -97*z + 94*z = -h. What is the least common multiple of z and 3 - -9 - (-1 - 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-35)*((-17105)\/264)\/(-311).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 17*f**2 - 11. Let y(i) be the first derivative of i**3 - i - 31. Let m(g) = -2*a(g) + 22*y(g). Let s(w) = 2*w - 5*w + 2*w. What is s(m(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:10 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -28*i + 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 + 34*u**3 + 2*u**2 + u**3 - 2*u**2 + (-u**2 - 3*u**2 + 3*u**2)*(1 - 1 - u) - 2*u**3 - 2*u**3 + 3*u**3.\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -283402\/17135 at least -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*m + 11, m + 3*v - 9 = 4*m. Let b be (7 - (12 - 6)) + 3. Solve 6 = x - 3*l + l, -3*l + m = -b*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 28704996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42408?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002678268 rounded to 6 dps?\nAnswer: -0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*r + 177*r = -84 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/5*m**3 - 8\/5*m - 1\/5*m**4 + 1\/5*m**2 + 0 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) + (sqrt(1980) - (5*(sqrt(1980) + sqrt(1980)*2 + sqrt(1980)) + sqrt(1980))) + sqrt(1980))\/(6*sqrt(5)*2 + sqrt(20)\/sqrt(4)*6).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**9\/168 + v**6\/90 - 17*v**3\/3 - 13. Let b(c) be the third derivative of o(c). What is the third derivative of b(y) wrt y?\nAnswer: 1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*l - 46, -5*l + 91*h + 2 = 94*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 - 32*m**2 + 5*m**3 + 16*m + 36*m + 16*m + 132*m**2 - 3*m = 0. What is m?\nAnswer: -19, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2 + 10*y + 2. Let a(o) be the second derivative of -o**5\/30 + 7*o**2\/2 + 26*o. Let v(x) be the first derivative of a(x). Determine v(d(s)).\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 356*m**2 - 22*m - 56. Is b(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.102 - 0.102. What is the third biggest value in 5, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 224?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3856?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w + 3. Let z(n) = -n**3 + n + 2. Let u(g) = -2 - 26 - g + 6 + 0. Let i be u(-16). Determine i*z(l) + 5*s(l).\nAnswer: l**3 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times 39?\nAnswer: -1833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g + 38. Calculate b(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f + 115. What is i(-7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056656 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 183, 225, 233?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - 106. Let m(t) = 5*t**3 + 4*t**2 + 2*t - 2. Let v be m(-2). Calculate the remainder when r is divided by ((-45)\/v)\/(5\/2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*4 - 728\/156. Suppose 11 = 5*s - 9. What is the nearest to 1\/4 in c, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 130*j**2 - 1401*j - 33. Give r(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -4084, -4 in decreasing order.\nAnswer: -3, -4, -18, -4084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 - 7095*x + 7095*x.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let j(s) = -701*s + 8*s + 33 - 35. Give k(j(y)).\nAnswer: -693*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -25 - (2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86053.9 + -92384. What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360267616.\nAnswer: 2, 136258363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/20 and -13\/340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537?\nAnswer: 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-80)*(1728\/147)\/(-18)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67789 is divided by 32753.\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.2 (c) 3\/4 (d) 2983\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4939 is divided by 1432?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 - 2 + 2)*(-115 - 390 + 2*d - 302)*(-2 - 2 + 5) to the form l + s*d + r*d**3 + n*d**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 1 + (-62 - -44)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (-6 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5225.7 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7203576*s**2*w**2 + 262*s*w + 3*s + 5*w**2 + 21*w + 1 wrt s.\nAnswer: -14407152*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55\/36 - 5\/18. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10673 greater than or equal to 10672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23692 and 940.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236265 by -6.\nAnswer: 78755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 11*n + 10. Let l be j(9). Suppose 0 = -4*a - 2*g + 780, a + 2*g + g - l = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/3 + 2*w - 1\/3.\nAnswer: -(w - 1)*(5*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2166566\/291655 + 2\/41665. Factor j*q - 20\/7*q**2 + 24\/7.\nAnswer: -4*(q - 3)*(5*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/21175 - 62773\/7961800. Is i > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 17 - 2. Suppose b*v + h = 17, -2*h = v + 2*h + 8. Suppose 0 = -v*d + 66 + 6. What are 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 347917323 divided by 267423?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2725 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 12. Let r be b\/(-10) - (-18)\/(-30). Let k be (r + -9)*16\/(-40). Put k, 2, -10 in descending order.\nAnswer: k, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 3. Determine h(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -102868, -411498, -925880, -1646014?\n\"Answer: -102876*b**2 - 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*w - 4. Let v be (-3)\/5 + w + -1. Which is the second smallest value? (a) v (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15512 - 2942*a - 15512)*(2 - 2 - 3*a).\nAnswer: 8826*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 590796*j.\nAnswer: 3*j*(j - 196932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.3. Let z(f) = -f**3 + 7*f**2 - 7*f + 5. Let l be (21\/35)\/(2\/20). Let r be z(l). Which is the second smallest value? (a) s (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-5\/2))\/d*d)\/d)\/d**0 assuming d is positive.\nAnswer: d**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3869 + -2116. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27142 - 27145. What is the closest to -0.1 in d, 137\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*w + 525*w = 265*w + 5, -2*w = -3*a + 21 - 4 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + m**2 - 2*m - 2. Let i be n(-1). Suppose 0 = -i*p + 599 - 152. Suppose -186 = 5*w + p. Round w to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5, -9, 0.3292, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 894324.1 years?\nAnswer: 8943.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001739 rounded to 7 dps?\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/2*(-53)\/(-38637)*27.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > 55\/318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54630*-1.5.\nAnswer: -81945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46206 at least 46231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373287*f**2 - 164150*f wrt f.\nAnswer: -746574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + h + 2, h + 11 = 7*t - 2*t. Suppose l = 6*l - 5*v - 155, -2*l = -4*v - 68. Let w = -16 + l. Solve w + 3 = t*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73865107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 9*p + 7*p - 35268 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97728 and 1146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52018, -52017, -52016?\nAnswer: -52015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -244162 divided by -4\nAnswer: 122081\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 6\/(-3) + 1 + 12. What is the greatest common divisor of 72 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzhg when four letters picked without replacement from adaddaargzgaahdgahgh?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = c. Suppose c = -5*t + 13*t - 6600. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7606, -10, 1, 2.\nAnswer: -10, 1, 2, 7606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*6 - (-79846)\/2886.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f**2 - f**2 + 12*f**2 + 114*f**2 to the form g + v*f + t*f**2 and give t.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2046311912?\nAnswer: 2, 255788989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 6, q: 1}. What is prob of sequence offf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**46)**(-1\/39) assuming g is positive.\nAnswer: g**(23\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1, 1\/60, -12, 4\/25?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -7, -0.1, 4\/9, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 7*b**6\/15 + 35*b**3\/2 + b**2\/2 + 56*b. Find the second derivative of z(t) wrt t.\nAnswer: 168*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(-3 + (-4 + ((sqrt(112) - (sqrt(112)*2 - sqrt(112)))\/sqrt(2))\/((-3*sqrt(96))\/sqrt(12)))**2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/3 or 17?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210880 to the power of 1\/2, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 95. Is (55\/1)\/(p - (-176)\/56) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8369400 by 1160.\nAnswer: 7215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-264)\/11 + -6)\/(6\/(-7005))?\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.1. Let z = -200 - -199.655. Let j = -0.055 + z. What is the closest to y in j, 0.06, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002435 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*o - 959 = -288 + 1174 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 2, h: 1, y: 1, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100629 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -53. Let u = -3 - -7. Sort a, 3, -5, u in decreasing order.\nAnswer: a, u, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.4 (b) -5 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555647 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: Let o = -0.05201 - -0.02101. Let c = -0.24892 - -0.2179275. Let h = c - o. Round h to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3169.97 - 3170. Which is the second smallest value? (a) -17 (b) 4\/3 (c) m (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 362, 687, 1166, 1799?\n\"Answer: 77*r**2 + 94*r + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times 54.6?\nAnswer: -185.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -200*g + 4403. Let d be r(22). Let c(o) be the second derivative of 0*o**d + 0 - 29*o - 4\/3*o**4 + 9\/2*o**2. Differentiate c(v) with respect to v.\nAnswer: -32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*o + 97 = 5*c - 66*o + 46, -2*c + 4*o = 30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16442 + 10051 + 62629 = 11*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49a + -69aa6?\nAnswer: -69608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*b - 507*b + 58330 = 331*b for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 1943460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 77 + 274*v - 26)*(4*v - 4*v - 3*v**2)*(-6*v + 7*v + 7*v) to the form j*v**3 + n*v + c*v**2 + g + t*v**4 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 - 35*w**2 + 51*w + 379. Let p be o(-9). What is the closest to -1 in 3\/4, 0.1, p, 0.12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**3 - 2847*r**2 - 2*r + 151. Determine g(219).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1737, -6966, -15687, -27906, -43629, -62862, -85611?\n\"Answer: -t**3 - 1740*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*s**2 + 19*d**3 - 2*d**2*s**2 + 126*d**2 wrt d.\nAnswer: 12*s**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 4*x**2\/5 - 6*x + 72\/5.\nAnswer: 2*(x - 3)**2*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 459638*w - 48744100 = 0. Calculate w.\nAnswer: -106, 229925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1763 + -33. Suppose -3*n + 5*c + m = 0, -1690 = -3*n - 0*c - 5*c. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d. Let m(l) = -2*l**2 + 3*l - 2. Let w(o) = 10*o**2 - 11*o + 7. Let h(u) = 11*m(u) + 3*w(u). Give h(j(a)).\nAnswer: 72*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/130*(1 + 0)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5) + 9793\/35. Let j be (-1)\/3 - r\/(-21). Solve 2*l + 3 = j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*z + 174 = 0. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*s + 181*s = 936. What is the greatest common factor of s and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + 50 + -30 + 9 - (1 - 14 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 115.73133 and 0.0439.\nAnswer: 115.77523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 42171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b + 0*b)*(3*b**4 + 0*b**4 - 5*b**4) - 4*b**5 + 10*b**2 - 10*b**2 + 5*b**5 + b**5 - 4*b**5.\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*b + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*z = -56, y + 43 = 3*y - 3*z. Suppose 14 = y*f - 10*f. Find a such that -1\/6*a**3 - 1\/6 - 1\/2*a - 1\/2*a**f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 891 - 382. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1128 in 5, 1, -22, -2\/7, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 - -125.3. Which is the third smallest value? (a) 6\/7 (b) f (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 31*f - 25*f - 14, -10*y = 5*f + 55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 2\/17 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 406 = -3*l, -u - l = 2*l + 94. Let w = -68 - u. Calculate the highest common divisor of 48 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 705 + 1363*o + 708 - 395*o - 1414 to g*o + v and give g.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2631*p + 1326*p = 63312 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/10)\/(2\/(-30)). What is the units digit of l\/(-15) - 9\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 454.6.\nAnswer: 457.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 11*t = 8*t - 2, 34 = -4*z - 3*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 28*h**2 + 61*h - 406. What is t(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(2*x**4 - x**4 - 2*x**4 + (-x**3 - 2*x**2 + 2*x**2)*(31*x + 24*x - 5*x) + 5*x**4 - 6*x**4 + 4*x**4).\nAnswer: 48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 2*x. Let k(c) = -2 + 1 + 0 - 919998*c - x. Let h be k(1). Round h to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-312)\/(-36) - 7442\/(-183)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.125, -2, 0.5 in descending order.\nAnswer: 0.5, -0.125, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3558.16 * -546.\nAnswer: 1942755.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 27*w = 20. Let b(p) = -p**2 - 6*p - 3. Let z be b(-2). Solve -5 = -2*h - 0*h - n, w*n + z = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6084 + -6097. Put r, 7, -1\/7 in decreasing order.\nAnswer: 7, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 6}. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 - 4*y**2 - 36*y + 36 = 0. What is y?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 104201?\nAnswer: -104185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 30, 68, 142, 264, 446, 700, 1038?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/25 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 8:32 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1700761 - 5?\nAnswer: -1700766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let k be ((-3)\/9)\/(n\/(-6)). Let l(x) be the first derivative of -7*x**4\/4 + x**2\/2 - 1. Give l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1570*j*y**2 - 4*j*y + 3*j - 3*y + 2 wrt y?\nAnswer: 3140*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 + -120121201010201?\nAnswer: -120121201001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(153) + sqrt(153) + 1 + 1*sqrt(153) - sqrt(153)) + sqrt(153)))**2 + (sqrt(833) + (sqrt(833) + 0 + sqrt(833))*-2)**2 + 3.\nAnswer: 288*sqrt(17) + 29548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -671660 divided by -61060\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w - 26. Let f(s) = 4*s + 13. Let h(u) = -2*b(u) - 5*f(u). Let v be h(-9). Put -2, v, 2 in descending order.\nAnswer: v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 7. Let h be w(-6). Let z(p) = p**3 - 12*p**2 - 13*p + 3. Let i be z(13). Sort i, -2, h in increasing order.\nAnswer: -2, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2688442 + f?\nAnswer: 2688451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/2)\/1*-1. Let a = -3954 + 3946. Sort f, a, 1.\nAnswer: a, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 438 = 441. Let z be 10*t*(35 + 1976). Round z to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 26 (c) -2 (d) 11 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/5)\/((-5)\/(-25)). Suppose 18 = 4*o - 3*f + 4, -l = f. Suppose 0 = 3*v - 3, -o*w = -3*w + 3*v + 4. What is the smallest common multiple of 6 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 1:32 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9069, -18153, -27301, -36513, -45789, -55129, -64533?\nAnswer: -74001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 7) + 0 + (2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 + 0.4468361.\nAnswer: 0.7768361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y**3 + 12*y**2 - 86*y - 504. Give w(-4).\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(117)\/(sqrt(9) + sqrt(225)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581, 1136, 1691, 2246?\nAnswer: 2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3. Let k(r) = r - 5. Let f(t) = -5*h(t) + 3*k(t). Let p(x) = -5*x. Determine p(f(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16\/40*(-15)\/(-4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blllblbvlblbllbll. What is prob of picking 1 b, 1 l, and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-23)\/x**27)\/(x\/(x**(5\/9)\/x)*x**(8\/9)))**20 assuming x is positive.\nAnswer: x**(-3140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 5.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 2*k - 2. Let q(r) = -7*r**2 + 5*r + 5. Let t(c) = -5*m(c) - 2*q(c). Let g(p) = -10*p. Calculate g(t(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2940741*b - 2940734. What is q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6661618939\/2790 + 2387677. What is the common denominator of 11\/6 and w?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-63)\/(-8))*((-90)\/140)\/((-474)\/(-14931))\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2. Let x(j) = -27*j**2 + 7. Calculate x(y(s)).\nAnswer: -432*s**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + ((-4)\/1)\/4*(-1 + 0 + 5).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - d**2 + 1. Let o be w(-1). Suppose -6 - 2 = -o*j. Suppose -5 = 3*s + j*a, 0 = 2*s - 4*s - 4*a - 10. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 96*p**2*v**3 + 1679558*p**2 + 2680*p*v**4 wrt v?\nAnswer: 288*p**2*v**2 + 10720*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 + 2. Let l = 20695 + -20690. Let j(d) = 3*d**2 - 1. Let p = 4 + -1. What is l*j(n) + p*h(n)?\nAnswer: -6*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 + 0*f**3 + (-2*f**3 - 3*f**3 + 4*f**3)*(-3 + 3 - 1) - 2 - f**3 + 2 + f**3 - 4*f**2 + 4*f**2 + (-3 + 3 + f**2)*(5*f - 7*f - 78*f).\nAnswer: -81*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 756.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cd943 + 0?\nAnswer: 1cd943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (64\/(-6))\/(0 + (-1)\/3). Calculate the greatest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 8 + 107*l**2 - 9.\nAnswer: 123*l**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -15.8. Let j = p - 21.2. Let v = 17 + j. What is the smallest value in 1\/2, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-32)\/80)\/((-88)\/(-20))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386176323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 6*v**2 + 2*v - 7. Let c be g(6). Suppose -c*i = 2*p, -2*p = -5*i + 3*i. Solve p*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -9*n**4 - 951*n**3 - 5163*n**2 - 6273*n + 2700 = 0?\nAnswer: -100, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 20*k + 4*r - 2628 = 0, 5*k - 6630 = 2*r. List the prime factors of k.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a factor of 53229897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from wwewxwpqwwepwwwwww.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 137, 222, 443, 866, 1557, 2582?\n\"Answer: 11*j**3 + 2*j**2 + 2*j + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -34, -43, -52, -61?\n\"Answer: -9*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1110260 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(85) + sqrt(85))*6)\/(sqrt(5) - (1*sqrt(5)*-5 + sqrt(5)) - sqrt(5)).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h*h**(2\/21)*h)\/h*h*h)\/h**(-6))\/(((h**(-3)\/h)\/h)\/h*h\/((h\/h**(-1))\/h*h)) assuming h is positive.\nAnswer: h**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.0075ml to litres.\nAnswer: 0.0060075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27742 is divided by 2056.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.84429 millennia in years?\nAnswer: 55844.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from jnnu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000016453 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1041400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -652*b + 3585. Let i be u(5). Which is bigger: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 23*u**2 + 18*u - 5. Let a(f) = -50*f**2 - 38*f + 10. Let c(w) = -6*a(w) - 13*b(w). Let m(y) = -y**2 - y + 5. Let t be m(0). Calculate c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 - n**2 + 6*n**2)*(-428 - 317 + 239)*(-4 + 0 - 1) to s*n + p + c*n**2 and give c.\nAnswer: 5060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298571?\nAnswer: 7, 13, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 0*s**3 - 3 + 4 in the form a*s**3 + n*s + i*s**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/180*-2)\/(15691\/(-10863))?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14 - 11 - 38\/24 and 35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 3) in base 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwww when four letters picked without replacement from wiiwwiiiwjw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.548 + -3.942. What is g rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14750 and 329810.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6013*f - 5998*f + 150 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/3 + 584*v**4\/9 - 8770*v**3\/3 - 2446880*v**2\/9 - 621944*v - 353056 = 0.\nAnswer: -102, -59, -4\/3, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 - z**2 + 14*z - 3. Let f(w) = -w**3 - 5*w**2 + 78*w + 389. Let j be f(-5). Let x(r) = r**3 - r + 1. Determine j*l(a) - 3*x(a).\nAnswer: 2*a**3 + a**2 - 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.995 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 at most as big as -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17521*v - 2*v**2 + 17522*v - 2 - 52571*v + 17528*v.\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/2*(135\/10)\/27. Which is smaller: s or 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 395410.4ug?\nAnswer: 0.0003954104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7907724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046695013 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 33*v**2 + 14*v + 29. Let m be a(16). What is the units digit of (0 - m)*(-6 + 4986\/27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 - -193. Solve 0 = 4*c - 3*w - m, w = 2*c + 3*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkkwkelqqewkkwkqqke. Give prob of sequence wql.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 16*u**2 - 14*u + 14. Let c(n) = -n**2 + n - 1. Let j be (-14)\/(-21)*-2*(-3)\/2. Determine j*m(z) + 28*c(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/39086661 and 28\/1139.\nAnswer: 664473237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1835 + 1969. Calculate the remainder when t is divided by 74.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37687537 and 961.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000396074 rounded to 7 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z - 4*h, -37*z - 4*h - 2 = -38*z. Which is the third biggest value? (a) -5\/2 (b) -6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*c = -164 + 650, -4*s - 2*c + 972 = 0. Is 243 equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013554 to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1521 and 45799?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k + 209*k - 1358296 = 0. Is k a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21899243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuulluuuuluuulualau. What is prob of picking 2 a?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**4\/12 + t**3\/3 + t**2\/2 - 3*t. Determine p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004621 rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**2 + 11416*q*u + 7*u - 3710 wrt q?\nAnswer: 4*q + 11416*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + (sqrt(95) + (sqrt(95)*-2 - sqrt(95) - sqrt(95)) - sqrt(95))))*1*3)\/(1*sqrt(40)\/sqrt(2)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664 - 220 - 7*g - 11*g + 0*g.\nAnswer: -18*g + 1444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 41. Let u(c) = 2*c**2. Determine a(u(j)).\nAnswer: -16*j**4 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**2 + 2*o - 3. What is the smallest common multiple of x(1) and 23?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 878415 and 5595?\nAnswer: 878415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 3*u. Let m be v(4). Suppose 5*l - 5*z + 53 = 218, -l + 39 = -m*z. Calculate the least common multiple of l and (-3)\/(-6) + 10\/4.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*7\/(-105)*-5*15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + -1*sqrt(832))*4 + -2)*5)**2.\nAnswer: -3200*sqrt(13) + 332900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 95, 242, 439, 686, 983, 1330?\n\"Answer: 25*i**2 + 22*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1613 (base 7) to base 15.\nAnswer: -2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j - 4*q + 35, 4*j = -3*q + 27. Suppose -4*t = -j*m + 26, -4*t + 18 - 2 = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - -129. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 - 4*c + 5. Suppose 2*d = -d - 15. Let q(b) = -7*b**3 + 5*b - 6. Let k = 260 + -266. Determine d*q(j) + k*l(j).\nAnswer: -j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27338, -54677, -82012, -109343, -136670, -163993?\nAnswer: -191312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67734, -133980, -200226, -266472, -332718?\nAnswer: -398964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 597*m - 596*m. Let y(r) = -43*r + 130. What is the hundreds digit of y(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 5:45 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1294 and 213359\/165 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*g - 8550 - 32090 = 0 for g.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 5. Let f(s) = 26*s - 32. Let i(o) = -5*o + 1. Let j(d) = f(d) + 6*i(d). Calculate -3*j(g) - 16*x(g).\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 176467718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4250450 (base 7) to base 6.\nAnswer: -15022542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810*m = 4648 + 10742 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87921089 to the nearest integer?\nAnswer: 9377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 - 3*i - 33 + 5*i + (-1 + 1 - 2)*(7*i - 2*i - 3*i) + 48*i + 28*i - 17*i.\nAnswer: 57*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.256 take away 48.9109625?\nAnswer: -48.6549625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478912.\nAnswer: 2, 7, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 154183 + -5?\nAnswer: 15417a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1399*o**2 - 2 + 374*o**2 + 2 + 629*o**2 to the form i + l*o**2 + f*o and give l.\nAnswer: 2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51381529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14155 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.43599 millennia in years?\nAnswer: 45435.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b - 2. Let w = 9097 - 9106. Let k(i) = 15*i + 8. Determine w*q(m) - 2*k(m).\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745443 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**8\/840 + t**4\/24 + t**3\/6 + 3*t. Let w(y) be the second derivative of o(y). What is the derivative of w(f) wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43130100 (base 5) to base 15\nAnswer: -72e85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707761?\nAnswer: 17, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**3\/f))\/(f\/(f**(-1\/2)*f)*f*f))\/(f**(2\/11))**(9\/5))**(-18) assuming f is positive.\nAnswer: f**(3789\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 + -4 + (-498)\/(-84) and -83\/744?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*z - 10 + 3, 4*q - z - 3 = 0. What is the derivative of 10*g**4 - 30 - 5*g**2 + 0*g**q + 5*g**2 wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 68*w**2 - 181*w - 180. Calculate u(-1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m - 3. Let d be p(0). Let f be (1 + 0)*6\/d. Let c be ((-10)\/4 - f)*0. Which is smaller: c or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 20*q - 17*q - 252. Suppose -4*p - 6 = -38. Calculate the least common multiple of q and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3725 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-30)*-1*5\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 126*i. What is the remainder when c(1) is divided by (-1 - (-99)\/72) + (-253)\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82 - -8?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2752*f**2 - f + 15. Let n(u) = 76*u. Determine n(h(j)).\nAnswer: 209152*j**2 - 76*j + 1140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Let n be -9*o\/(-6)*-1. Let l be (-26)\/65 + 198\/45. What is the second biggest value in l, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -7*y. Let x be (-1 - -1) + 1 + y. Find the second derivative of x*p**5 - 3*p**5 + 3*p - p wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(15\/13474) + (-10)\/30?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (413*o**3 - 772*o**3 + 437*o**3)*(1 - 1 + 2) - 5*o**3 + 3*o**3 + 3*o**3 as n*o**2 + t + c*o**3 + k*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Suppose -11 + 12 = d, 4*y - 4*d - 136 = 0. Suppose 14*p + y = 21. Let u(i) = 1. Calculate p*q(f) - 4*u(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -615417 and -614919 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55356 is divided by 27453.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -21.4527 and -2\/353 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = r - 153. Find the common denominator of r\/504*980\/(-15) and -47\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3958700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5758, 1, -66, -4, 2 in increasing order.\nAnswer: -66, -4, 1, 2, 3, 5758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5 - 7 - 22 + 10*d. Let y(i) be the third derivative of i**4\/8 - 4*i**3\/3 + 18*i**2. Let g(f) = -2*b(f) + 7*y(f). Determine g(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -18. Let s be (-3 - p)\/((-2)\/6). Suppose 0*z - 3*z = -s. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -5, 23\/5, -15, 9?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/48 + 10\/(-6). Suppose h = -4*i + 21, -3*h + 3*i - 17 = -i. Let g = -0.3 - 0.2. What is the closest to h in y, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**5\/4 + 963*w**4\/4 + 87531*w**3\/4 + 1641417*w**2\/4 + 4134303*w\/2 + 2664120 = 0.\nAnswer: -149, -16, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105165?\nAnswer: 5, 67, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525 less than 7.027705?\nAnswer: -2517.972295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and -38\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -4, 2, 11 in decreasing order.\nAnswer: 11, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -409.8 minus -1939672?\nAnswer: 1939262.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6617\/49965 + 3\/3331. What is the nearest to 1749 in 0.1, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-24)*4\/(-6). Suppose -1 = 5*w + 4. Let j be 1 - (w\/(-5) - 1\/5). Sort 3, a, j in decreasing order.\nAnswer: 3, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(1*sqrt(10)) - ((sqrt(6)\/sqrt(2))**2 - sqrt(3))*2.\nAnswer: -6 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 6:34 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 + 42*a**3 + 265*a**2 - 2292*a + 1984 = 0.\nAnswer: -31, -16, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*h**4 - 3*h**2 + 0*h**2 - 3 + 33*h**4 + 3*h**3 to the form z*h**2 + f*h**3 + j*h + t + o*h**4 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2235942 is divided by 47573.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 608594?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202656 is divided by 217?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (8 + 52 - 42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8692 + 0.1308. Let r = -226 + 217. Which is the fourth smallest value? (a) -1\/5 (b) h (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -302, -512, -784, -1118, -1514?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000168094 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**2 + 8*x + 1. Let y(a) = 8*a**2 - 10*a - 2. Let z(t) = -5*i(t) - 4*y(t). Let h(v) = 6*v**2. What is z(h(c))?\nAnswer: 108*c**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/270 and -89\/20940.\nAnswer: 188460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*w**4 - 2*w - 12 wrt w?\nAnswer: 240*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*s - 28, 4*s + 5 = 2*n - 15. Let y be (-1)\/2 + n\/4. Solve y = -7*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-60))\/((-4)\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344564141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12570 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - (1 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.6 - 0.6. What is the biggest value in r, 7, -3, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 40.34?\nAnswer: 2.4204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137104*v + 68564*v + 68515*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 63*z + 3. Let j be c(0). Solve j*w = 2*v + 3, -v - w - 1 - 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*p**4 + 5*j*p**3 + 16*j*p**2 - p**5 - 12*p**2 wrt p?\nAnswer: -48*j*p + 30*j - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((6 + -30)\/3)\/(4\/(-66)). Let j = -130 + y. Suppose -5*o + 1 = v, -5*v + 0 = -5. Solve 0 = b - 5*a + 3 + j, -5*b + 3*a + 19 = o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285968 and 29300?\nAnswer: 7149200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.06 (b) 5 (c) -1 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 4*z - 4*k, -5*k = -2*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2968 or 2983?\nAnswer: 2983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19778 and 2266.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ffhhpfpfffpffp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -65, -276, -653, -1202, -1929?\n\"Answer: -w**3 - 77*w**2 + 27*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2 = 4*w - 5*c, -5*w + c = -14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) - (1 + sqrt(75))*-1)) + 5)**2*6.\nAnswer: -240*sqrt(3) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 31. Suppose -15*d = -11*d - u. Let a = -3 - -3. Put d, a, 5 in decreasing order.\nAnswer: 5, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w - 50. Let x = 16 - w. Suppose x - 81 = -5*o. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -984 - -1042. What is the least common multiple of 232 and w?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -333*o**3 - 3*o + 111*o**3 - 6*o**2 + 559*o**3 - 5*o - 5 - 336*o**3. What is s(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68656937 divided by 4\nAnswer: 68656937\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/24 + q**3\/6 - 49*q**2. What is j(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*w**2 + 13*w + 13 + 42*w**2 - 149*w**2 - w**3.\nAnswer: -w**3 + 13*w + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -5 (c) -2 (d) -2\/7 (e) 0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207067 + -1772168.86.\nAnswer: -1979235.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4125*b**2*f**2 + 1267*b**2*f + 111*f**2 + 126*f + 159 wrt b?\nAnswer: -8250*b*f**2 + 2534*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*t**3 - 8*t**3 + 7*t**3)*((1 - 3 + 0)*(-2*t + 4*t - t) + 3*t - 2*t + 0*t + 4*t - t - t) as g*t**3 + r*t**2 + p*t**4 + o*t + m and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 69924209 = 69924204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d = -0*d + 312 + 12 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83\/126 - 1\/18. Let k = -9 + 13. What is the second biggest value in -2\/7, t, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6502543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -27. Let v = -13.3 + 14. Let u = v + -0.5. Put u, 1.2, f in decreasing order.\nAnswer: f, 1.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17583120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-190)*48*(-30)\/(-27).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/41 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2140650125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3)\/(21\/(-14) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -93*g + 2993. What is u(33)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 2*r**2 + 2*r + 2. Let v be q(-3). Find the third derivative of 11*j**v - 16*j**5 - 15*j**2 + 5*j**5 - j**6 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4\/3)*c)**50 assuming c is positive.\nAnswer: c**(500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {e: 4, g: 7, o: 3, c: 2, n: 1, d: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -85710 (base 12) to base 16\nAnswer: -2adbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 30) - (2193 - 2203)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/4 - 6639*x\/2 + 100260 = 0.\nAnswer: -4456, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 405, 413, 431, 465, 521?\n\"Answer: n**3 - n**2 + 4*n + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 550? (a) 0.4 (b) 1.2 (c) 6 (d) -2 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31447.18 years?\nAnswer: 377366.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546 - 543. Which is the closest to 0? (a) 0.7 (b) l (c) -4 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 12*j - 111. Let t be (6\/4)\/((-1)\/(-6)). Suppose g - 2*v - 7 = 0, -4*g - 3*v - t + j = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l. Let u be o(5). Let x = u - -40. Solve 0*j + j + 3 = x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 24 = -4*x, -5591*q - 29 = -5*x - 5593*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 15. Let i(r) = -14. Let s(t) = -2*g(t) + 3*i(t). Let m be s(-7). Suppose -c = -m - 29. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 1805361?\nAnswer: -1805366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j**2 + j + 5. Let m be g(-4). Let o = 528 + m. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 4.37 (b) -2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - 55. Let q be x(8). Let k(o) = -o**3 - 5*o**2 + 10*o. Let a be k(q). Calculate the highest common divisor of 98 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675108*u**3 + 1350401*u**3 - 675308*u**3.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((40411\/(-138))\/251)\/(2\/84)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9437, -18755, -27917, -36875, -45581, -53987, -62045, -69707?\nAnswer: -76925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -171. Let g = l - 64.04. Let h = 5 - g. Round h to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 15*g - 24. Suppose a + 23 = 2*h, 0 = a - 9*h + 4*h + 38. Let t be o(a). Suppose -61 = t*f - 1227. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6800)\/5304)\/((-10)\/6)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c + 6. Let n(i) = 7*i - 8. Let b(h) = -1. Let a(q) = b(q) - n(q). Give 6*a(l) - 7*o(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/8317264?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**4\/12 + 10*u**3\/3 + 73*u**2. Let t(w) = 2*w**2. Give h(t(s)).\nAnswer: 4*s**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 1. Let j(v) = -2. What is -4*h(s) - j(s)?\nAnswer: -4*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000872127 rounded to 6 dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6870025533.\nAnswer: 3, 7, 17, 71, 131, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76357.24 micrograms in nanograms?\nAnswer: 76357240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, p: 1, i: 1, t: 1}. What is prob of picking 1 a and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -2 - (-2)\/(-1). Let x be -1*(2 + -4 + p). Suppose -13 - x = -4*w. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 - 25 = -5*k, 3*p - 13 = k. Let o(m) be the third derivative of -m**5\/60 + 5*m**4\/24 - m**3\/2 + m**2. List the prime factors of o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23321 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 1253550?\nAnswer: 1253556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 4. Let p be o(-8). Calculate the remainder when 32 is divided by 1\/((p\/(-44))\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34375312 a multiple of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59896868.\nAnswer: 2, 131, 151, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r - 162. Let k(m) = 7*m + 165. Let f(v) = -4*k(v) - 6*n(v). Does 7 divide f(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssh when three letters picked without replacement from {s: 9, h: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 55*p + 58 + 56*p)*(2*p - 5*p + 5*p).\nAnswer: 2*p**2 + 208*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7)*d**2)**(-3\/23) assuming d is positive.\nAnswer: d**(12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8046 = 372*s + 12786 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/100096 and -64\/11155.\nAnswer: 48546560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8244 and 20055820?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.39061 + -0.00939. Which is the second smallest value? (a) z (b) -0.12 (c) -2 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = -91*q - 1796 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21011 - 11?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 531.330947 times -5\nAnswer: -2656.654735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640274959 - 2*f**2 + 640274959.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 4*l**2 - 7*l + 18. What are the prime factors of q(4)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 10\/2)*8\/1. What is the remainder when 195 is divided by 57\/2 + (-4)\/y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8731308011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from jfufwufffffucuufwf?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u - 15*u + 41*u - 11*u. Let t(a) = 7*a + 1. What is t(b) + 6*y(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 536.137 millilitres?\nAnswer: 0.536137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/3 - 362*l**2\/3 - 6478*l\/3 - 6118\/3 = 0.\nAnswer: -161, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85694.52mg to micrograms.\nAnswer: 85694520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 334660 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 240\/(-10) + 35 - (1*-2 + 3). Solve -389*l = -387*l - j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 2*j - 288. Let l = -117 + j. Let y = l - -50. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 + 0 = 0. Let o = 9 - m. Suppose b = -2*k + 9, -o*b + 5 = -2*k - 4. Sort -5, b, 5 in ascending order.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18094 is divided by 355.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y*y\/(y**(-10)\/y))**(-9) assuming y is positive.\nAnswer: y**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 2*h. Let d(i) = -i**2 + i. Suppose -2*j + 6 = -j. Suppose 2*k = 6, -j*k = -3*o - k - 9. Determine o*d(n) - a(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 694 + -699. Suppose 52 = 7*a - 3*a. Let m = a + k. Solve 7 = 2*l - 3*j - 3, -m = -3*l + j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 + 45*a - 48. Let i(r) = 10*r**2 + 44*r - 64. Let s(b) = -3*i(b) + 4*x(b). Factor s(u).\nAnswer: 2*u*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 161. Let x = f + -140. Sort 0.077, -2\/5, x in decreasing order.\nAnswer: x, 0.077, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73133 is divided by 876.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12227235 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by -377454.\nAnswer: 146\/188727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, -17, -1, 0, -13, -2 in ascending order.\nAnswer: -142, -17, -13, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.8 - -0.8. Let m = -5.6 - d. Let g = -0.1 + -3.9. Which is the second smallest value? (a) g (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 82*d - 189514 = 0. Which is greater: d or 2563?\nAnswer: 2563","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, j: 4, t: 1, n: 4, s: 3}. Give prob of sequence nes.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.6 + 6. Let m(y) = 4*y + 55. Let x be m(-13). Let p = 0.3 + -0.2. What is the nearest to x in p, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2612018 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 12. Suppose h*x = 5*s + 12, x + 2*s = -2*s + 4. Solve -x = b - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15581 + -15590. Which is the second smallest value? (a) 5 (b) 0.3 (c) -7 (d) h (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/4 - 493*q\/4 - 11853\/2 = 0. What is q?\nAnswer: -439, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 335 + 335.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + c**3)*(3*c**2 - 1 + 9 + 2).\nAnswer: 3*c**5 + 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(567) + 3 + (1 + sqrt(567))*-6 + sqrt(567))**2.\nAnswer: 378*sqrt(7) + 27792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 278*v**2\/9 - 296114*v\/3.\nAnswer: 2*v*(139*v - 444171)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 201160*f + 14*f**2 - 201160*f + (3*f + 4 - 4)*(-2*f + 6*f - 3*f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 6 + (1678\/(-144) - -6) and -23\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u - 35. Determine o(-10).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2926 and 1848?\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 2)*(4*a**3 - 4*a**3 - 3*a**4) as z + f*a + s*a**4 + x*a**2 + c*a**3 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*k - 80*k + 26 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -732 or 5510?\nAnswer: 5510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002597 rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -690?\nAnswer: 690.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289952 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180853, 180878, 180935, 181036, 181193, 181418?\nAnswer: 181723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/12 - (19 - (-1660)\/(-80)). Let p(n) be the second derivative of 0 + 7*n**2 + 0*n**3 + 4*n - u*n**4. Find the first derivative of p(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39*-0.39.\nAnswer: 0.1521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-6))\/d)\/d*d\/(((d\/d**12)\/d)\/d)*d**(-1)\/d**(1\/4) assuming d is positive.\nAnswer: d**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326001, -1303197, -2931855, -5211981, -8143581?\nAnswer: -11726661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1553953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.1454?\nAnswer: -0.2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 496*d**4 + 180*d**3.\nAnswer: 4*d**3*(124*d + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -391 (base 10) to base 11\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 greater than 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 + 0*v**2)*(31164 - 344*v - 31164) + 0*v + v - v**3 - 3*v.\nAnswer: 1031*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-289) + (-32)\/(-306).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from llqqq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8512, -8520, -8528, -8536, -8544, -8552?\n\"Answer: -8*f - 8504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose 0 = -3*i - 2*d + 20, -n*i - 3*d + 2*d = -16. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/227, -4, -0.5, 8 in decreasing order.\nAnswer: 8, 5, -2\/227, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/5*37680\/(-15072)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 49 = 5. Let c = 17 + a. Calculate the remainder when 9 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-70))\/(30\/(-35)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 - o + 3. Let d be 1 - -159 - ((-6)\/(-3) + -1). Let u = 157 - d. Calculate h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.27, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(192) - ((sqrt(3) - (sqrt(75) - sqrt(3))) + -3)) + -3))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1, 315097 in decreasing order.\nAnswer: 315097, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 35 + 10 = 0. Let r be (4 + 881)*(-3)\/(-3). Suppose 3*a + 294 = r. What is the remainder when a is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3, -7716, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-27)\/(-18)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**8\/15680 + 3*m**6\/560 - m**4\/3 - 7*m**3\/6 + 8*m. Let r(l) be the third derivative of g(l). Suppose r(x) = 0. What is x?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g. Suppose c - 5*b = 24, -b + 2 = -g*b. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 + 4 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 112 = -73743*b + 73740*b, 0 = 2*b - 3*t + 69 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9860009?\nAnswer: 281, 35089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i + q - 6, -4*i - 3 = -5*q. Let u be 0\/(-1 + 0 + i). Solve u*l = -3*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928.5186012 rounded to one decimal place?\nAnswer: 928.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*f + 8268 = 0, -f - 5695 - 2565 = -v. What are the prime factors of v?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 5 (c) -129 (d) -3\/5 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 598*k**2 + 10712*k + 20152. Calculate a(-280).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8448 bigger than 0.065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t**5 - 1300*t**4 - 9935*t**3 + 16030*t**2 + 3020*t - 7800 = 0 for t.\nAnswer: -78, -10, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2, 9, 33.\nAnswer: -4, -2, 5, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*h**3 - 2*h**2 - 743*h + 1?\nAnswer: 912*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*k + 1. Suppose 0*r - 304 = -2*r - k*c, r = -3*c + 148. Let s = r + -67. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980\/(-10)*4*1\/16*50\/25?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 8) in base 3?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102330 (base 4) to base 14\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88.51*1.\nAnswer: -88.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/2 - 5*s**4 - 33*s**3\/2 - 20*s**2 - 8*s.\nAnswer: -s*(s + 1)**2*(s + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.94605 + 0.05395. Suppose -9 = x - 4*x. Which is the fourth smallest value? (a) x (b) -1\/2 (c) 7 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*k = -258, 4*y - 2*y - 181 = -5*k. Suppose 3*p + y = 251. Let u(z) = z + 1. Let v be u(6). Calculate the highest common factor of v and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 23. Let b(j) = 4*j + 3. Let l be b(-2). Is 161 - k*(-3 - l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 22.9, -3?\nAnswer: 22.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i - 3*i - 4*i. Let m be ((-1)\/2)\/(1\/(-10)). Let r(t) be the first derivative of t**2\/2 + 144. Calculate m*p(y) + 4*r(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17578, 17509, 17438, 17365, 17290, 17213?\n\"Answer: -y**2 - 66*y + 17645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 26 = -4*w, 5*w - 30 = 3*y - 65 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 48.48 * 15\nAnswer: 727.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + w = -q - 15, 15 = -5*w. Let b(l) be the first derivative of -l**4\/4 - 11*l**3\/3 + 10*l + 2. Calculate the lowest common multiple of q and b(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13 + -8 + 160\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3\/44, 6, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 + 55653454.14?\nAnswer: 55653454.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 9*q + 4*a - 196 = -a, -26*q + 3*a = -59 + 357 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -4.6, -0.588, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 14752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 43452262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92)\/(-184)*(0 - 0). Solve -u - u + 4*p = 20, 4*u + 3*p - 4 = f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10*u - 38 = 0, 33343363*b + u - 17 = 33343362*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. What is the first derivative of -2*j + 0*j - c + j wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/3 + 17*j**4\/3 - 19*j**3 + 67*j**2\/3 - 26*j\/3 = 0 for j.\nAnswer: 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 9*y - 2. Let q(x) = -38*x + 11. Let p(m) = 27*m - 8. Let j(h) = -7*p(h) - 5*q(h). What is j(a) - l(a)?\nAnswer: 2*a**2 + 10*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18*5\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/157 - -299\/2355. Let w = 150862\/5 - 235493422\/7805. Let f = w + 2\/223. Is f < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*w - 11836 = 0, 5*s - 2*w = 12396 + 2384. Suppose 22020 - s = 2*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/64763 - -2396447\/13988808. Find the common denominator of o and -6 + 10 + -7 - 87\/(-20).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = 15. Let i = -124 + 622\/5. Which is the smallest value? (a) -2 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -268 + 46. Calculate the remainder when f is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -94\/127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011010111 (base 2) in base 10?\nAnswer: -6871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11880 and 1710.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u - 2. Let l(i) = 3*i - 1. Let w(g) = l(g) + q(g). Let v(o) = -11*o - 13. Calculate -2*v(n) + 9*w(n).\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3002 and 0.076.\nAnswer: 0.0228152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428818609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 2. Suppose -4*y - 2*z + 13 = y, 0 = -w*y - z + 5. Suppose 0 = -3*j - 5*u + 19, y*u = 3 + 3. Let h(a) = 3*a + 3. What is h(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466623 (base 7) in base 16?\nAnswer: 313b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -8 + (6 + 0 - 3) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.9 - -8.7. Let i = -372020.8127 + 372044.41270111. Let d = i - k. What is d rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3729528)\/8415*((-30)\/8)\/3 is divided by 254?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*b - 2 - 0, 3*x - 43 = 5*b. Suppose x = 3*v - m - 2*m, 0 = -2*m. List the prime factors of v*(3 - 0\/3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35917, 2, 24?\nAnswer: 35917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let u be z(-6). Let a(q) be the third derivative of q**6\/120 - 7*q**5\/60 + 5*q**4\/12 - 3*q**3\/2 + 4577*q**2. Determine a(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-8) - (2 - (-6783)\/(-12))?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.049 - -0.671. Let k = -3.63 + l. Let a = k - -0.35. Round a to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 - 5*y - 1. Let b(s) = 11*s**2 + 10*s + 3. Let c(o) = -3*b(o) - 5*q(o). Let j(a) = 7*a**2 + 4*a + 3. Determine -5*c(l) - 6*j(l).\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 46.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:17 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17187 - -15246. Which is smaller: -21342\/11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 6 + 0*q - 2*q. Let r be 3 - (9 + 4\/(-2)). Is 9 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3)\/(-12) + 11\/44. What is the smallest value in -7, 15, u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 214 - 12?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 8*g**2 - 2*g + 13. Let k be h(8). Let f(s) = -5*s + 1. Let m(x) = -6*x + 1. Give k*m(o) + 2*f(o).\nAnswer: 8*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.68347g in micrograms?\nAnswer: 66683470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/219)\/((-3)\/54).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 780, -2, 3\/4, 0.1, -5 in decreasing order.\nAnswer: 780, 3\/4, 0.1, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 369.1.\nAnswer: 369.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*f**3 - 190*f**2 - 8*f - 48987?\nAnswer: -132*f**2 - 380*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, x: 2, v: 3, j: 2, e: 4, z: 3}. What is prob of picking 1 j, 1 a, and 2 e?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 910382929 and -0.5.\nAnswer: 910382928.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-39)\/38 + 1). Let x = 16580 + -16238. What is the highest common factor of x and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuyr when four letters picked without replacement from yykhyyur?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -641*j**6\/120 - j**5\/30 + 23*j**4\/24 + 14*j**2 + 32*j. Find the third derivative of o(m) wrt m.\nAnswer: -3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) - (sqrt(50) - (4 + sqrt(50) + -3)).\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 0*d**3 + 5*d**3 + (0*d**2 + 3*d**2 - d**2)*(d - 4*d + d) - d**3 - 5 + 5 + 3*d**2 - 1 + 24*d**3 - 15*d**2 + 6*d**2.\nAnswer: 20*d**3 - 6*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -758 + 763. Suppose 0 = r + 1 - 2. Let h = -8 + 7. What is the nearest to r in 2\/15, c, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a + 3 = 43*a - 15. Let s(z) = 13*z - 4. Let c(h) = 25*h - 7. Give a*c(u) + 11*s(u).\nAnswer: -7*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441477907 is divided by 423.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27\/42*28\/24*4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 4, 1\/3, 3140?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Suppose 3*c + 0 = -6. Suppose 4*z + 5*f - 38 = -9, 0 = z + 3*f - 16. Sort j, z, c in decreasing order.\nAnswer: j, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7104*i**3 + 407*i + 407. Let a(g) = 35*g**3 - 2*g - 2. Determine -407*a(l) - 2*f(l).\nAnswer: -37*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.786, 5, -1143, -13 in increasing order.\nAnswer: -1143, -13, -0.786, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-2) + 9\/(-6). Suppose q = g + 5*x, -4*g + 3*x + 0*x = -116. Find the second derivative of -27*v + 0*v**4 - 2*v**4 + g*v wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*b - 5 - 61, -39 = -2*v - b. Let r = -12 + v. Let o be 2*-2*(-2)\/(-4). Sort -1, r, o in descending order.\nAnswer: r, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 450\/210 + 2\/(-14). Find x, given that -8\/5*x**p + 4\/5*x + 8\/5*x**4 - 4\/5*x**3 + 0 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1043779412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 8*l**2 - 6*l + 10. What is the remainder when ((-9)\/(-4))\/(-3) - 5029\/(-428) is divided by y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**2 + 28*f**2 - 16*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9368082 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*v**3 - 153*v**3 + 71*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2719 + 6446*k + 5444 - 2725.\nAnswer: 6446*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -196 (base 10) to base 9\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1478746, 2957635, 4436524, 5915413, 7394302, 8873191?\n\"Answer: 1478889*w - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63232, 126467, 189702?\n\"Answer: 63235*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/120 and -143\/408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = 3. Let j = 2 + k. Let h(n) = 3*n. Let l be h(j). Sort l, -4, -1 in decreasing order.\nAnswer: l, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8373*u - 2591*u + 1780*u as a + m*u and give m.\nAnswer: 7562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/((j*j**(1\/13))\/j))\/(j\/j**(-9)*((j*j*j**14)\/j)\/j) assuming j is positive.\nAnswer: j**(-248\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hggy when four letters picked without replacement from {g: 2, y: 10, h: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and -6.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(48)\/((sqrt(16) - sqrt(80)\/sqrt(5) - sqrt(16))\/sqrt(4)))\/((sqrt(12) + (sqrt(48)\/sqrt(2))\/sqrt(2))\/(sqrt(2)*-2*6)).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k - 5*s = 33, 1401031*k - 1401029*k - s = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 44772.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*t - 339, 5*t + 9 + 16 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -445 + 1029. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 30*s - 25*s - 72881, -145729 = -4*m + s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2217 - -2247) + (-6 - 0) + -1 + -3 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/3)*((q*q*q*q**(2\/11)*q*q*q)\/q)\/q*(q\/(q**24\/q)*q)\/(q**17\/q) assuming q is positive.\nAnswer: q**(-1072\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 57*f**2 + 102*f + 3172. What is t(54)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 323 + 10*q + 644 - 321.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.743315s to microseconds.\nAnswer: 743315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(567))*4 + -4)**2 - ((-4*sqrt(448))**2 - (3*sqrt(63))**2).\nAnswer: 864*sqrt(7) + 2615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 761910?\nAnswer: 761913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 6*h**3 + 2*h**3 - 4*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 12 - 10 - -4 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/6 (b) -4 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 (base 5) in base 14?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -1013*s**3 + 4261*s**2\/2 + 611. Find the second derivative of a(l) wrt l.\nAnswer: -6078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 409 - 174. Does 47 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 2255*g**3 + 2*g**2 - 2244*g**3 + 4*g in the form p*g**3 + q + d*g**2 + k*g and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -662803 (base 11) to base 8\nAnswer: -4021771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 627742409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20275*l - 394906 - 249505 = 1180339 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101.145 - 0.145. Let a = 80 - m. Let o = -21.0000114 - a. What is o rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -50 - (-3 + 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 15*k - 9*k + 368 = -20*k for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90383072 and 0.2.\nAnswer: -18076614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Let f = 3 - n. Suppose 2*v + f = 4*v. Solve -v*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -12\/19, -190, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 220\/6*(-171)\/38. Let l = y + 1153\/7. Let p = 2 - 5. Which is the closest to 2\/7? (a) 4 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 258282044 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.4 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 225 = 74*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**5\/4 + 175843*w**4\/4 - 2576935197*w**3\/4 + 6012184513*w**2\/4 - 1073566698*w + 214710409 = 0.\nAnswer: 1\/3, 1, 29306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19296 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 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: Let z = 13552 + 28311. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 3878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7617, 30491, 68615, 121989?\n\"Answer: 7625*m**2 - m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*f + 5. Let d be -2 + -3 + (-92)\/f. Let -2\/3*x**3 + 0*x - d + 2*x**2 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z\/(z**(-3\/13)*z))\/z)\/z*z*z**(-3\/8)*z)\/(z\/(z**(-25)*z)*(z*z\/(z**17*z*z*z))\/z))**(-39) assuming z is positive.\nAnswer: z**(1605\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047251 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 - 2*u**2 + 323 + u - 645 + 320 - 3*u**4 to n*u**4 + p*u**2 + j*u**3 + l*u + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of ((-13725)\/20)\/(-5)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3784 = -3110*a + 372*a + 846*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170781 by -170781.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 11 - 161. Let z = -29 - q. Let w(j) = -3*j**3 + j**2 - j + 1. Give w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 10. What is the units digit of n(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/70805288 and -113\/264.\nAnswer: 2336574504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -34 + 10. Let i(g) = -g - 5. Let q(o) = -2*o**2 - 6*o - 5. Let d be q(-4). What is the lowest common multiple of i(d) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -768, -1150, -1530, -1908, -2284, -2658?\nAnswer: -3030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713 (base 8) in base 16?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (44 - 40) + (3 - (2 + -5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30513*s**2*v*z**3 - 16*s**2*v*z**2 + 126075*s*v*z**3 + 2*s*v*z**2 wrt s.\nAnswer: 61026*v*z**3 - 32*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2) + 2\/(-1). Let x = 2 + j. Suppose l - 3 - 2 = x. What is the nearest to -1 in -0.1, 4, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 46*y - 210. Let z be b(39). Let a = 3 - 3. Suppose -4*w + 1 + 27 = a. What is the highest common factor of z and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 1631*k**2 + 18052*k + 16420.\nAnswer: -(k - 1642)*(k + 1)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7661 is divided by 295.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 10*o**2 + 9*o**2 + 3*o**2)*(-3*o**2 + 0*o**2 + 0*o - 2*o).\nAnswer: -6*o**4 - 19*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11877120 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(85) - (sqrt(85) - -4*sqrt(85))) + sqrt(85)) + 4*sqrt(85)*-1)\/(-3*-4*sqrt(5) + sqrt(5) - (sqrt(5)*-2 - sqrt(5))*-3).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228946499?\nAnswer: 233, 982603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 14*o**2 - 11*o - 14. Let w be q(13). Suppose 0 = 5*y + y - w. Find the common denominator of -67\/8 and (-588)\/(-8)*y\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 566001950.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9787977 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 313 and 236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6741, -7015, -7279, -7527, -7753, -7951, -8115, -8239?\nAnswer: -8317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079911 rounded to 3 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*p = -2870, -7*p + 6*p = 2*h - 1442. Let t be ((-4)\/50)\/((-8)\/h). Factor 2\/5*x**4 + 16\/5 + 8*x + 14\/5*x**3 + t*x**2.\nAnswer: 2*(x + 1)*(x + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba678b81 - -2?\nAnswer: ba678b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.635184 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a decade in months?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*g - 62 = 0, -g - g - 113 = 3*y. Suppose 2*o = q - 139, -31 = o + 3*q + 49. Let v = y - o. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (15 - 36) - (-2 + -9 + 1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/169 and -53\/182.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 6 = -25*i. What is the second derivative of -12*m**5 - 29*m - 3*m**3 + 3*m**i - 7*m**5 wrt m?\nAnswer: -380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:05 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + sqrt(320))**2 + (sqrt(20)\/sqrt(4))**2 + 4 + sqrt(5) + -3)*1.\nAnswer: 5*sqrt(5) + 1630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a. Let h(o) = o**2 + o. Let w be h(a). Suppose 11 = s - w. Calculate the lowest common multiple of 4 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74454 + 11802. Is (-5)\/(-25) + g\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 1 s when three letters picked without replacement from xwsdwzddpdwsdszddsds?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3940*j**2. Let g(t) = -2217*t - 2. What is g(b(n))?\nAnswer: 8734980*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 158\/(-5 + (-51)\/(-9)). Let q be 3*r\/1089*5. Let a = -53023\/14278 + q. Find the common denominator of a and 29\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 25 + 961*y + 13.\nAnswer: 961*y - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 517793 and 400872.\nAnswer: 12427032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2, 0 = -m + 2*z - 4*z + 442. What is the smallest common multiple of 960 and m?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -355941 and -356346 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 2*q + 2*t - 1552, 0 = 4*q + t - 1244. Let i be ((-99)\/(-15))\/(2\/10). Suppose -q = -i*a + 29*a. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-21)\/(-945)*(-5)\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - 4*r**2 + 3*r**2 - 5*r + 5*r - 4*r**2 + (2 - 2 - r)*(1 - 3*r - 1) + 2*r**2 + 0*r**2 + 2*r**2 + 0*r**2 - r**2 + 8*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 20. Calculate the greatest common factor of 56 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17448.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.060685855\nAnswer: 0.0060685855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32678, 32683, 32696, 32723, 32770, 32843, 32948, 33091?\nAnswer: 33278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.9. Suppose 0*i - 40 = 5*i - 3*z, -3*i = -2*z + 25. Let n = 2 - 5. What is the closest to v in i, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -86959 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**(-42)*(((g**(2\/17)\/g)\/g)\/g*g)\/g*g\/g**(1\/2)*g assuming g is positive.\nAnswer: g**(905\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, 5, 16865, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*a - 94*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o + 10. Determine u(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5859, -3\/4, 3\/2, 0.3, -3 in increasing order.\nAnswer: -5859, -3, -3\/4, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-13))\/(v*v**(-8\/9)\/v*v))\/(v**(2\/17)\/(v\/(((v**(1\/7)*v)\/v)\/v))))**(-3\/7) assuming v is positive.\nAnswer: v**(-16738\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2\/9, 1892, 3\/43?\nAnswer: 1892","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -206, -772, -1880, -3710, -6442, -10256?\n\"Answer: -30*r**3 - r**2 + 9*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449133 is divided by 219?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/336*104\/130.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20530, -20535, -20544, -20557?\nAnswer: -20574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 647*s*u - 208*s - 1 with respect to u.\nAnswer: 647*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202566337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 130303274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17710273 is divided by 326?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 17*a = 8*n + 12*a - 260, -97 = n + 2*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d + 5 = 0. Let w be ((-4)\/2)\/d + -4. Let t = w + 3. Which is greater: t or 1\/12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u**3 + 0*u - 1\/315*u**7 - 1\/45*u**6 - 1\/18*u**5 - 1\/18*u**4 + 0 + 2*u**2. Factor s(b).\nAnswer: -2*b*(b + 1)**2*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -4*i. Determine b, given that 1\/2*b**i - 1\/2 - b**3 + b**2 + 1\/2*b - 1\/2*b**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1 + n + 3 - n. Let b be d(-7). Let f(j) = -j**2 + 8*j + 6. Let l(t) = 3*t**2 - 17*t - 12. Let h(w) = b*f(w) - 2*l(w). Determine h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (1*4)\/(-2). Let m be (24\/(-45)*-6)\/(2\/5). Let b(z) = -z**a - m + 8 + z. What is b(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4368 is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let m(f) = -4526142*f**2. What is m(k(y))?\nAnswer: -4526142*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/22 - 1 - (39 - 28877\/737)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665538 (base 9) in base 11?\nAnswer: 251917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + 3. Let r be d(-3). Suppose -5*x = -0*x + 5*t + 5, 5 = -r*x - 4*t. Are -2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 8*d + 3661. List the prime factors of d.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236711 and 24063263?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*2*(-16)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 + 0.85. Which is smaller: z or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 + 31224*f + 1304352 = 0. What is f?\nAnswer: -7764, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -91.7.\nAnswer: -91.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 15 = y, -2*y - 50 = -2*w + y. Let s(u) = u**2 - 18*u - 15. Let n be s(w). Solve -6 = -3*k, n*k - 6 = 3*z + k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161333 (base 9) to base 3\nAnswer: 12001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -4174.8624 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 6. Suppose 15*p = 10 + 5. Let c = 22 + -11. What is the lowest common multiple of f(p) and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:41 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80718487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 - -1.2. Let j = v + -0.88. Let a = -0.4 - -0.3. What is the biggest value in j, a, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*v**2 + 4*v - 57*v**2 - 94 + 20*v**2 - 5*v wrt v.\nAnswer: -190*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v - 105. Let d be l(0). Let a be ((-50)\/d*3)\/((-2)\/(-14)). Solve -a*k + 6*k = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 380135.8m?\nAnswer: 380.1358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.2 (b) -0.3 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2445 divided by 84\nAnswer: -815\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -29. Let h = g - 96\/7. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0 - -1)\/(-7 - -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 498\/38 - 64\/608 - -17*(-2)\/17\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**4 + 5*x**2 + 11*x - 2. Let k(t) = -6*t**4 - 4*t**2 - 11*t + 2. Let a(y) = -4*c(y) - 5*k(y). What is the second derivative of a(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - ((-12)\/2)\/1. Let x = -57 + 60. Suppose x*y - 2 + b = c, -y - 6 = 5*c. Sort -4, y, 5 in descending order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*(-5)\/1. Let i = a + -53\/22. Is i != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 10\/11, -3\/5?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 - 92. Let k(j) = j**2 + j - 12. What is k(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 2*(-926)\/932. Let u be ((4\/(-7))\/2)\/(466\/2817). Let x = f + u. Find the common denominator of 57\/4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2 - 2)*(2*m**2 + 2*m - 2*m) + (-113 + 122 - 70)*(5*m - 3*m + 0*m)*(-3*m + 3*m - 6*m**2).\nAnswer: 730*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -63.9 and -0.046.\nAnswer: -63.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/6 and 13\/5544.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1139)\/(-134) - 8) + ((-38)\/(-4) - 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/(-4)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 400, 5876, 15010, 27808, 44276, 64420?\n\"Answer: j**3 + 1823*j**2 - 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1644 and 11\/274?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 125614525 to the power of 1\/2, to the nearest integer?\nAnswer: 11208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 2, v: 4}. What is prob of picking 1 g and 2 v?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486221130.\nAnswer: 2, 3, 5, 66697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*u = 19, -6*n + 19*n - 27*u = 10*n - 579 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*j**2 + 14*j**2 + 23 + 59*j**2 + 7*j**2.\nAnswer: j**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nban when four letters picked without replacement from nbsnpnnbppapab?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 73, -2, -3, -1 in descending order.\nAnswer: 73, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*v**3\/13 - 66*v**2\/13 + 370*v\/13 - 350\/13.\nAnswer: -2*(v + 7)*(3*v - 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gag when three letters picked without replacement from {g: 8, a: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -3\/16*q**4 + 0*q + 1\/20*q**5 - 1\/8*q**2 + 1\/4*q**3 + 4. What is j in z(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.349 - 0.06.\nAnswer: 0.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - 3a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59 - 191*v - 32 - 324 - 159 - 45*v - 4*v**2.\nAnswer: -4*(v + 2)*(v + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 372758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 67452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p**2 + 6*p**2 + 9*p**2 + 2*p)*(-3 + 0 + 0).\nAnswer: -15*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 176152.\nAnswer: 880760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -73*p**3 - 12*p**2 - 8*p + 41. Let o(f) = 24*f**3 + 4*f**2 + 3*f - 14. Determine -3*c(d) - 8*o(d).\nAnswer: 27*d**3 + 4*d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171306 is divided by 1180?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by 21108?\nAnswer: 169\/21108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4334.499 - 4348. Let h = b - -0.101. What is h rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/284 + 26\/213. Let i(n) be the third derivative of 7\/24*n**4 - 1\/120*n**6 + 0 + 0*n + 0*n**3 + s*n**5 + 12*n**2. Give i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 - 2138764*v**3 + 571791069672*v**2 - 1143522254160*v - 13722883012800 = 0. What is v?\nAnswer: -4, 6, 534690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02917*0.98867.\nAnswer: -0.0288395039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 4*l**2 + 6*l - 5. Let z be t(5). Which is the biggest value? (a) z (b) -0.2 (c) -0.4 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*d + 8 = -46*d - 48*d - 51*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/20292 and 121\/1026.\nAnswer: 182628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-80)*(-45)\/(-300)*10*(-4)\/6?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21 + -15)*(3 - (-16)\/(-6)). Which is the closest to 2\/3? (a) j (b) 1\/2 (c) 1\/8 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 287, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*n + 234*n + 240*n - 715*n - 50)*(7*n - 5 + 5).\nAnswer: 14*n**2 - 350*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - r**2 - r + 2. Let l be i(0). Let o(v) be the second derivative of -1\/2*v**l + v - 1\/3*v**3 + 0. What is the derivative of o(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8185 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 + 6*z - 6. Let p be n(-6). Let m be (0 + -1)*(p - -1). What is the third biggest value in m, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(720) + 2).\nAnswer: 5 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 5)*(-16 + 113 - 102 - 4200*r) as b + o*r and give o.\nAnswer: -4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszsssssssss. What is prob of picking 4 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -28)*(-4)\/(-18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301809 is divided by 670.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*g + 19, -2*r = -3*r + 3*g. Let y(h) = h**2 + 3*h - 4. Let p(d) = d**2 + 2*d - 4. Let f(a) = r*p(a) + 2*y(a). Differentiate f(x) wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17784 from -705769745.\nAnswer: -705787529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25304 is divided by 241.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 14*n - 53856 = 0. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 3\/(-3) + 4. Suppose 0 = -d*i - 0 + 3. Suppose 0 = -2*f - 0*f + 5*g - 2, 0 = -5*f - 5*g - 5. Which is the nearest to f? (a) 5 (b) 3\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 11*f**2 + 2. Let d(y) = y**2 - 14*y - 11. Let b be d(14). Let q be h(b). Is (5219\/34)\/(1\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*c - 18, 3*a = -c + 3*c + 3. Let k(z) be the third derivative of -z**4\/24 + z**3\/2 + 2*z**2. Let o be k(a). Is o at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -1\/3, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -16.8. Let l(i) = -3*i + 10. Let z be l(6). Let t be 15\/60 - (-2)\/z. Which is the nearest to t? (a) y (b) 13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32286409 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -16, -3\/7, -0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(3\/11)\/d*d*d**(-15) assuming d is positive.\nAnswer: d**(-151\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/(-16) - -3)*4. What is the units digit of 425 + 1 + 6\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -722285\nAnswer: -6\/722285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1980*g = 1984*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1453, -2304, -3179, -4090, -5049, -6068?\n\"Answer: -2*q**3 - 837*q - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -15. Let d be 1\/g + (-399)\/828. Let z = -3\/46 - d. Which is the nearest to 0.1? (a) -3\/7 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3160\/(-306)) - (126352\/1490 + -85)?\nAnswer: 1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -50*n**2 + 50 - 35*n**3 - 20*n + 7*n**5 + 5\/2*n**4. Determine q, given that i(q) = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799533010 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppppppssspppppppsp?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 times -0.9?\nAnswer: -399.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2132496 and 45\/4.\nAnswer: 2132496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2258, -2259, -2260, -2261, -2262?\n\"Answer: -q - 2257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11668, -13585, -15502?\nAnswer: -17419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 8:47 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-4))\/((-2)\/(-4)). Let l = p + -6. Let a(n) = -2*n**3 + 2*n**2 - 2*n + 1. Give a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 2)*(-1 + 1 + 2*c) - c - 2*c + 2*c)*(-1 + 5 + 35) to r + f*c and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s - 23*s - 17*s)*(6*s - 5*s + 2*s)*(-1 - 1 + 4).\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/2 + 0. Suppose -5*v = -b*v. Let n(r) = r**2 - 9*r - 14. Let a be n(11). Solve 2*l = -v*l + a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367861.7 millennia in centuries?\nAnswer: 3678617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/30 + 16*i**3\/3 - i**2 - 29*i. Let n(t) = -t**2. Determine k(n(g)).\nAnswer: -2*g**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10563594 is divided by 6594.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 382*u**4 + u**3\/3 - 21*u**2\/2 + 4694*u. Find the second derivative of p(c) wrt c.\nAnswer: 9168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*d = 196*d + 1386 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183228834?\nAnswer: 2, 3, 181, 168719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*d = -8, -57*m - 2*d = -60*m + 7. Suppose s - 2*z = -4*s + 1, -s + 3*z = 5. Let p be 119*s + 10\/(0 - m). What is p rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912541077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 + 1. Let s be x(2). Does 7 divide -3 - (-2 + s)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etuuuuuqeeqeqwqtuu. Give prob of sequence wu.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 1. Let d(b) = -6*b**2 + 8. Determine d(y) + 5*l(y).\nAnswer: -y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24088799.\nAnswer: 7, 3441257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2345684332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.5 + 19.658. Let i = 0.1706 - d. What is i rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 12 + 1 - (11 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 339.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3))\/(1\/(-3)). Let x(s) = 8*s**3 + 4 - 2 - 9*s + 3 - 4 - 2*s**2. Is x(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5*g - 30 = 0. Solve g*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -2194 (c) 7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/11 + 32*h**4\/11 - 80*h**3\/11 - 492*h**2\/11 + 54*h + 972\/11 = 0.\nAnswer: -3, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-189)*(-9457)\/2316.\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5022*w**2 - 9876*w**2 + 5307*w**2.\nAnswer: 453*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Let y = -1 - g. Sort -0.2, -2\/5, y.\nAnswer: y, -2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 4\/(-12)*0. Let t(r) = 3*r**2 - 3*r - 5. Let u be t(f). Suppose 18*z = u*z + 115. Calculate the remainder when 45 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7552, -9581, -11610, -13639, -15668?\n\"Answer: -2029*x - 5523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 112*h**2 - 47596*h + 2515288.\nAnswer: 4*(h - 73)**2*(h + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnniinnpp. Give prob of sequence pnp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727.5087 decades to centuries.\nAnswer: 72.75087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 51*g**2. Let n(i) = -4*i. What is n(k(d))?\nAnswer: -204*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -68762414 plus -350013?\nAnswer: -69112427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424 is divided by 359?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 3, r: 2}. What is prob of picking 1 w and 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66813, -133585, -200373, -267183, -334021?\nAnswer: -400893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1051 - 12?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-336)\/(-13) - 4\/(-26). Let r = t + -17. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/6)\/(1\/6). Let y = a - -1. Suppose 3*n = 4*b + 38, 0*n + b = 3*n - y. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245242 (base 6) to base 13.\nAnswer: 9c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 3*q - w - 20 - 5, -q - 17*w + 62 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i + 1. Let t(n) = -11*n**3 - n**2 + 25*n + 14. Let m(j) = 17*g(j) - 2*t(j). What is the first derivative of m(b) wrt b?\nAnswer: 15*b**2 + 4*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3863*u + 856 - 2817 = -19006 - 9996 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szzz when four letters picked without replacement from zzzzzzszzzt?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*y - 6 - 14*y**2 - 4*y to u*y + r + w*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 568, 570, 572, 574, 576, 578?\n\"Answer: 2*l + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9323669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1135*x**3 - 21*x + 20. Does 21 divide z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**4 + 3*v**4 - 2*v**4)*(12 - 14 + 33) - 282966*v**3 + 1 + 282966*v**3 + 12*v**2 + 4*v - 3*v**4 as k*v**3 + n*v**4 + u + b*v**2 + j*v and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 14*k. Suppose 3*h + 3*g = 375, 3*h - 379 = -k*g - g. List the prime factors of h.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3850, 16613, 37884, 67657, 105926?\n\"Answer: -i**3 + 4260*i**2 - 10*i - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-21)\/((l*l*(l**0*l)\/l*l*l*l)\/l))**(-2\/37) assuming l is positive.\nAnswer: l**(50\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174396 or -2964708\/17?\nAnswer: -174396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.0057853.\nAnswer: 0.0231412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -408.76?\nAnswer: 817.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, a: 5}. What is prob of picking 2 a?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 + -3.3. Which is the nearest to 3? (a) 2\/3 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18074.\nAnswer: 2, 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w + 2030 = -84*w + 108*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 384140559 to the power of 1\/3, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 11. Let s be v(3). Let g(l) = -56*l + 120. What is the hundreds digit of g(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q - 3*q)*(-1 + 4 - 2) + (4 - 1 - 5)*(-104448*q + 178391*q - 93377*q).\nAnswer: 38869*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 309188955 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3256 and 2960?\nAnswer: 32560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 4?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-21)\/(105\/(-110))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 274*x**2 + 17*x**5 + 274*x**2 + (-1 + 1 - x**2)*(13*x**3 + 10*x - 10*x) - x**5 - 2*x**5 + 4*x**5.\nAnswer: 5*x**5 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5357, 11, 3 in ascending order.\nAnswer: 3, 11, 5357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 10.\nAnswer: -69\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006154746 rounded to 6 dps?\nAnswer: 0.000615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2381065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 - 3*p**3 + 4*p**3 + 13 + 5*p + 3*p**3 - 2*p + 424*p**2 - 422*p**2 + (-2*p + 4*p + 0*p)*(-3*p**2 + 2*p**2 - p**2).\nAnswer: -5*p**3 + 2*p**2 + 3*p + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 1, n: 3, g: 2}. What is prob of sequence gn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 434403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102299354 + -5?\nAnswer: -102299359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6191 is divided by 258?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.497 and -7258.\nAnswer: 18123.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -691.9999512 + 692. What is d rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 51*r = 50*r + 4, 0 = -2*b + 2*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 18 - 64)*(1 - 1 + 3*q) to c + z*q and give z.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 22 = 2*z, 5*z - 40*o = -45*o + 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.3 (b) -17\/2 (c) -1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -7\/60*n**4 + 28*n - 3\/10*n**3 + 2 - 1\/5*n**2. Suppose a(s) = 0. Calculate s.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 2*x. Calculate the remainder when 40 is divided by u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p**2 + 1. Let a(d) = -1241*d**3 - 6*d**2 - 4. What is -a(u) - 6*w(u)?\nAnswer: 1247*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 4 + 5 - -34 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5268198308?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 0 = 27*m - 24*m, 3*m - 214 = 41*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292556335.\nAnswer: 5, 431, 135757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 9:19 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f - 40. Suppose 2*t - 2 = -f. Let w = 0 - 0.2. Which is the closest to 2\/7? (a) w (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2415, 2419, 2425, 2433, 2443, 2455, 2469?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 2*u - 1. Let l be h(3). Let p be ((-6)\/l + 1)*-3. Let b = 4 + p. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/210 and 167\/7920.\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -156*z**3 - z**2 - 4*z - 2. Let f be a(-1). Suppose -4*t = -c - 155, -4*t - c = -0*c - f. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5)*k)\/(k\/k**(-8)*k))\/(k*k\/((k\/k**21)\/k)*k*k**(-2\/71)\/k*k) assuming k is positive.\nAnswer: k**(-11634\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 3*d**2 + 5. Suppose 8 = 4*z + 24. Let r be s(z). Let i = 27 + r. Calculate the highest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -30 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2105*t**3 + 6 + 3 - 562*t**3 - 9.\nAnswer: -2667*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 4*k**7\/21 + 5*k**3\/6 + 22*k. What is the second derivative of a(f) wrt f?\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - 11. Let j = u + 27. Solve 4*q + j = -5*o + 24, -o - 2*q = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418019658?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:08 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 39*g**2 + g. Let v be y(1). Is (-634)\/(-8) - 10\/v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 2 - 70 + 0*f - f. Let a be j(6). Let p = -5 - a. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 4 = 13263*y - 13267*y + 5*l, 2*y + 26 = -3*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 132 = -42. Let p = -27 - a. Suppose -87 = -0*v - p*v. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 692, 573, 448, 311, 156?\n\"Answer: -d**3 + 3*d**2 - 121*d + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1378 and -97\/2216.\nAnswer: 1526824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -193.382, 1\/2 in descending order.\nAnswer: 122, 1\/2, -193.382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**3 - 25*l**2 - 2*l + 5. Let m be i(-5). Solve m*t + 16 = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -15 + (121 - 64) + -9\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*c. Let g be 2 + 0 + (2 - c). Suppose -6 - g = 5*v. Sort 5, 1, v in descending order.\nAnswer: 5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -2 + -1)*-5 + 2*(-5 + sqrt(108) + -2))**2.\nAnswer: -36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45423 - -136270\/3. Factor 0 + 1\/3*f**4 - 1\/3*f**2 + q*f - 1\/3*f**3.\nAnswer: f*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 5)*((-1 - 2*v + 1)*(1 + 0 - 3) + 4*v - 3*v - 3*v + 5*v - 2*v - v - 1 - 3*v + 1) as s*v + t and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 12*p**3 + 16*p.\nAnswer: 4*p*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4804408691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75.6 - 76. What is the smallest value in q, 0, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 8*s + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 40, 0, -5, -25, -4 in ascending order.\nAnswer: -25, -12, -5, -4, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 7*u + 16. Let n be g(3). Calculate the common denominator of (-462)\/(-16)*2\/3 and ((-9)\/(-21))\/(n\/189).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38\/105 + -5\/21. Let m = -1.2 - -0.2. Let r = m - -0.9. Which is the second biggest value? (a) t (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*k - 1761 = -7*l, -4*l = -3*k - 2348. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 7:02 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3536*c**2 + 33*c + 1513620.\nAnswer: 7072*c + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -1) + ((-5 - 1) + 2 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 3*b + 6. Let g(w) = -w + 4. Suppose 3*s = -5*m - 0*s + 33, 4*m = -s + 32. Let x be g(m). Give j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 199, 194?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/8 - -2)*(-34)\/18 + 32\/192.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 193. Let s be q(-18). Suppose -2*v + 357 = -s. Is v not equal to 248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + 2*q)*(12*q**4 - 5*q**3 + 5*q**3) + 1 - 1 + q**5 + (-2*q**2 + 4*q - 4*q)*(-5*q**3 - 2*q**3 + 6*q**3) + 0 - q**5 + 0 - 4*q**4 - q**5 + 4*q**4.\nAnswer: 25*q**5 + 24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + t + 6. Let r(f) = -11*f + 8. Let q be r(1). Let c be 18900001\/q - t\/(-6). What is c rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/20 - f**4\/4 - f**3\/6 - f**2\/2 + f. Let b be 138\/30 + 3\/(-5). Does 4 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 11 - 3 = 2*h, 42*h - 2*k - 84 = 86*h - 48*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0 - 4. Let s be 669\/27 + g\/(-18). What is the common denominator of (-10)\/s - (-1082)\/180 and 133\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10.2. Put -5, -15, c in ascending order.\nAnswer: -15, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 - g - 2. Let z be c(-6). Suppose -5*r + 3*l + 0 = 2, -12 = -4*r - l. Suppose 6 = h + 3*q, -r = 3*h + q - z. Is 0 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i - 3 + 3 - i to u + f*i and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 minus 0.03003698?\nAnswer: -918.03003698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 - -134. What is the closest to -1\/2 in 5, 1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 - 4.53. Let t = m + -0.37. What is the second biggest value in 4, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 6*s - 282. Calculate the greatest common divisor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4929664*k**2 + 2*k - 5. Let s(q) = -11*q. Give x(s(y)).\nAnswer: 596489344*y**2 - 22*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - 36624\/(-54). Suppose -f = -2*p + s + s, 0 = 5*p - 2*s - 1710. Let h = p - 229. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3220460959 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3040\/313 - -1997507\/203763. What is the common denominator of t and -5\/1302?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = w, 2*r + 2*w = 12. Let s(o) = -1 + 2*o + 5*o - 5 - o**2. What is the units digit of s(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -1) + (13 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 5.6, -5, -3, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + 3 + sqrt(275) + 0 + -2)**2.\nAnswer: -120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 62*p**2 - 10747*p - 666311. Determine o(-62).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g + 3*j + 13 = 0, -3*j = 2*g + 17. Let x be (0 + 0)\/(g\/(-2)). Let i(r) = r + 1 - 2*r**3 - 3*r**2 + r**3 + x*r**2. What is i(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q**5 - 381*q**4\/2 - 243*q**3 + 1209*q**2\/2 + 1308*q + 630 = 0. Calculate q.\nAnswer: -7, -2, -15\/14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**12*t**(-2\/5)\/(t*t**(2\/17)))\/((t**(-4)*((t\/((t*t**2)\/t)*t*t*t)\/t*t)\/t)\/(t**(2\/5)\/t)**(-4)) assuming t is positive.\nAnswer: t**(270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-143)\/(30030\/2268)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**43\/h)\/h*h\/(h*h**(-17\/5)))**(2\/45) assuming h is positive.\nAnswer: h**(148\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 2*u + 50. Let s be x(7). Let o(h) = 0*h + s*h**2 + 3*h - 2 - 114*h**2 - 1. Let n(a) = 4*a**2 - a. Let p be n(-1). Determine o(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6173*i + 12313. What is p(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrearaemxvex. Give prob of sequence axx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 3}. What is prob of sequence be?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903273389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, -4\/7, -2\/11, 2\/25, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k = 42*k + 8640. 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: Simplify (l*l**(1\/3)\/l)**37\/((l*l**(2\/7))\/l**(-4))*l**(2\/9)\/l**(-2\/17)*(l**1)**44 assuming l is positive.\nAnswer: l**(55036\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7155 + -7158. Which is the closest to -1? (a) 7 (b) f (c) -0.5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -473, -1733, -4285, -8579?\n\"Answer: -75*c**3 + 29*c**2 + 20*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*y + 3*w + 12, -4*w - 18 = -3*y. Suppose -3*z + 10051 = 4*m, 5 = y*m + 9. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - o = 11, 3*x + 2*o = -o + 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*a + 8540 + 2960 = -213*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4914295 divided by 755?\nAnswer: -6509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4288614, 8577142, 12865668, 17154192, 21442714?\nAnswer: 25731234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3763 at most as big as -3762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*s - 54999 + 17481 = 0 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*k + 32 = k, v - 3*k - 20 = 0. Let l be v\/6*(11 + -2). Suppose -3 - l = -6*a. Solve 1 = a*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*u = 76*u + 169. Let j(i) = -15*i**2 + 17*i + 15. Let f(z) = -7*z**2 + 8*z + 7. Calculate u*f(m) - 6*j(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 104, 364, 874, 1718?\n\"Answer: 14*s**3 - s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170636 divided by 42659?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51717 is divided by 862?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (160\/128)\/((-2)\/(-8)). Let n(s) = -2*s**2 - 2 + s + s**2 + 4*s - s. Let i be n(3). What is the highest common factor of g and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 33640*x - 7299890. Calculate n(217).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**3 - 16 - 19 + 32 - 67*s**2 to d*s**3 + c + g*s + j*s**2 and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 13 + -4 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7873 - -7898. Solve -r + 28*z - 13 = a*z, 5 = -r + z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 9 + t - 5*t.\nAnswer: -2*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/15 + -5)\/((-12066)\/653575)?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -15.2\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 9. Let a = c + -12. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249389 > 1249385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 614277212 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 - 86796*p**4 + 471928952*p**3 - 11728365544*p**2 - 85013534076*p - 72813152780 = 0.\nAnswer: -5, -1, 31, 10837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1719.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2300736806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -704, 95, 1520, 3571, 6248?\n\"Answer: 313*v**2 - 140*v - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 29*k + 366. Let m be a(9). Solve -5*z + 21 = -6*z + 5*p, 5*p = 4*z + m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -701 (b) 5 (c) 0.07 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 3*y**2 - 4*y - 12. Let t be n(-3). Solve t*a = a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 19. Let y be -1 + 1\/(10\/15)*2. Let f(c) = -y*c**2 + 19*c**2 - 7*c**h - 6*c**2. Let q(t) = -5*t**2. Determine q(f(d)).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -209, 0.1, 2, -2\/7, -23?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10076 + -65?\nAnswer: -10163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36148812 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 15. Let c be s(18). Suppose 2*m = -c*x + 567, 4*x - 3*m = -x + 964. List the prime factors of x.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 522999467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 324925094, 649850188, 974775282, 1299700376?\n\"Answer: 324925094*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14662 - 14645.569. What is n rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-212)\/(-24) - 1\/(-6). Suppose -234 = -5*m - l. What is the greatest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 20 = 4*o - 48, -4*o = 4*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-5) - 396\/(-90). Suppose 2*x - 5*b - 159 = 0, m*b + 15 - 40 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18207 and 14178.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + k = -0*k + 17, -4*k = 12. Suppose 52*b - 66*b = -45*b + 248. Let s be l + -22*(-10)\/b*1. Which is bigger: 24 or s?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/2 of a hour?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 5*q**2 - q + 2*q - q**3 - 3*q. Let a = -94 + 80. Let o = a - -11. Calculate z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 < 2486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -33*b**3 - 2*b**2 + 13*b + 2. Let t(n) = -17*n**3 - n**2 + 7*n + 1. Give 11*t(q) - 6*y(q).\nAnswer: 11*q**3 + q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-3)\/(12\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2 - 11*h + 7*h + 2*h. What is d(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 6*n + 7*n**3 + 27\/2*n**2 - 2. Factor m(h).\nAnswer: 3*(h + 1)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*g**4*z - 2698*g**2*z + 156991*z wrt g?\nAnswer: 52*g**3*z - 5396*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -53*u**2 - 3*u - 13. Let w(b) = -2*b**2 - b + 1. Let k(g) = -c(g) - 3*w(g). Is k(-3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 783872075 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*n + 2, 10*r - 8 = 14*r. What is the least common multiple of 204 and n?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 4 - 4 + (4*a**2 - a**2 - a**2)*(a**2 - 5*a**2 + 2*a**2) - 5*a**4 + 5*a**4 - 4*a**4 to the form b + c*a**2 + r*a + l*a**4 + z*a**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = -45*c + 3*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -426 - -424. What are the prime factors of n + (-88)\/(-56) + 6474\/14?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2614 (base 15) to base 6.\nAnswer: 101331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -9 + 20 + -4 + 5 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = 5*w - 6*w. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 6 = -4*l, 52*k = 53*k + l - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 a when four letters picked without replacement from {z: 2, q: 4, a: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 3927352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.188 rounded to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 968214 (base 10) to base 5\nAnswer: 221440324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828 and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - -1. Which is the closest to -2\/7? (a) -2 (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -20 + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let s(l) = -77150*l**2. Give s(y(x)).\nAnswer: -308600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214*c + 31166 = -126036 + 30946 for c.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -15368.\nAnswer: -15367.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10352 divided by 17766?\nAnswer: -5176\/8883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2. Let m(g) be the second derivative of -g**3\/3 - 10*g + 5. Determine m(l(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 131992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-10608)\/3094)\/(30\/(-14))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5396?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3567432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (127 - 130).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 2, q: 1, n: 3, d: 1}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/3))**(8\/5)\/(z\/z**2)**13)**(1\/4))**31 assuming z is positive.\nAnswer: z**(5549\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -2*f, -5 + 15 = 5*c. Is 13\/51 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, 4, 2, 2\/13.\nAnswer: 3\/31, 2\/13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30635687 by 163.\nAnswer: 187949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6456 is divided by 6420?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 2*g - 181 + 151 + 109 - 2*g as q + r*g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 25 = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 165 = 5*m + 3*a, -5*a + 105 = 3*m. Suppose -281 = -2*j + 91*i - 86*i, -5*i = 2*j - 191. What is the remainder when j is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 - 8*k**2 + 5\/12*k**4 - 1\/2*k**3 + 0*k. Differentiate d(o) wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120 (base 4) to base 5.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/6 + 2*u**2. Let t(p) = 3*p + 185. Let i be t(-64). Let r be y(i). Calculate the highest common factor of r and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 159 = -2*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 2*l - 2. Let b be d(-1). Let k(w) = 318*w**2 - 8*w - 3. Does 11 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v**3 + 10*v**2 - 10*v**2.\nAnswer: -38*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-144)\/(-15) - (7 + (-222)\/30). What is the fifth biggest value in -3, -5, -9, 4, o?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 58971.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -0.1. Let h be ((-27)\/36)\/(54\/24 + -3). Let x = 0.04 - -0.26. Sort h, x, a.\nAnswer: a, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 3*i**2 - 24*i - 15. Let x be m(-6). Let o be (x\/(-9))\/(3\/9). Let d(k) = -k**3 - 7*k**2 + 7. Determine d(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 1, -2*u = 2*a + 6. Let j = -3 - a. Let t = 67\/259 + 1\/37. Which is greater: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*r - 8, -2*o + 3 + 7 = -2*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m*m)**(1\/12)\/(m\/(m\/(m*m\/m**1)))**(-24\/5))**(-5\/14) assuming m is positive.\nAnswer: m**(-101\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158115137?\nAnswer: 3, 53, 241, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -680a (base 13) in base 9?\nAnswer: -21850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bedlefsflesd. What is prob of sequence besl?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -0.2 (c) -1\/13 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20\/(-42))\/((-21)\/(-18) - 1) and (-158)\/9 + (-4)\/(-18).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1320b (base 12) to base 9\nAnswer: 38862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -2815.697?\nAnswer: 534.98243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 48543156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 18*l + 7. Suppose -4*x + 32 = -4. Let r be g(x). Suppose -12 = -r*v + 9. Calculate the remainder when 5 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 - -142. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. What is the nearest to 1\/3 in a, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0 - 1 - 1)*(d + d - 5*d) + (0 - 1 - 1)*(-d + 2*d + d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*x - 61. Let n = 1 + -10. Let r = x + n. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/494 and 163\/42.\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103 - 103303255171?\nAnswer: -103303255170.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -33. What are the prime factors of (-19)\/(-3) + 5\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*r + 303*r + 14*r)*(54 - 28 + 13) + 2*r + 3 - 3 + r - 4*r + 4*r to j + b*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - 14 - -45) + 56\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530339059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(15\/(-5)). Let u be (4 - 2) + 40\/(-22). Sort -1, u, l in descending order.\nAnswer: l, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -186*u**2 - 11690*u + 832. What is g(-63)?\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 bigger than 511\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + x = 2*x - 14, 2*w - 3*x - 28 = 0. Let a = w + -12. Solve 3*v = a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3520960396 plus 36.9?\nAnswer: 37.2520960396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - -40.9.\nAnswer: 40.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36426, 72854, 109282, 145710?\nAnswer: 182138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 575232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + 3*t)*(3*t - 2*t + 1 + 0*t)*(-21*t**2 - 56 + 56).\nAnswer: -21*t**4 - 21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131843587 = 85*b + 131844522 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 13. Suppose 0 = -10*a - j. List the prime factors of (-1090)\/(-14) + 0 + a\/(-14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -15 - 5. Let f(c) = -a*c**2 - c**2 + 2*c + 9*c**2. Let h(m) = -3*m + 2*m + 7*m**2 + 6*m. Give 15*f(l) - 6*h(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -285*h + 290*h. Let g(m) = 3 + 7 + 2 - 5*m - 23 + 5. Calculate g(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9 - 3) - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 9. What is k(6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.181 and -9.\nAnswer: -1.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 2591 in ascending order.\nAnswer: 2, 7, 2591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m. Let x(k) = 0*k**3 - 7*k**3 + 2 + 0 - 6 + 3*k**2 - 6*k. Let q(u) = -6*j(u) + x(u). Suppose q(t) = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/12*(-7)\/210?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.19998 nanograms to micrograms.\nAnswer: 0.00119998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:45 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -61 and -0.05517.\nAnswer: -61.05517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/120 + 2*d**3\/3 + 20*d**2 - 26*d. What is t in g(t) = 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (857*t + 400*t + 218*t)*(t**2 + 1 - 3*t + 3*t).\nAnswer: 1475*t**3 + 1475*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**7\/336 + u**6\/60 - 7*u**5\/60 + 2*u**2. Let m(c) be the third derivative of b(c). Is 18 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.26. Let s = 14 - 13. Suppose 5*r - 12 = 4*f, 3*f - 14 = -0*f - 2*r. Which is the smallest value? (a) s (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + 2*p**2 - 5*p**2)*(2478 + 2978 - 1759) as c*p + t + s*p**2 and give s.\nAnswer: -3697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2087*q + 76650 = 2092*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*z = 2 - 6, 3*z + 11 = -5*m. Sort 2, -5, m, 8.\nAnswer: -5, m, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302293664.\nAnswer: 2, 9446677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79870)\/56)\/35 + 7\/(280\/(-50)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 33?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12992.0026658 + 12992. What is u rounded to 4 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35118 + 35120. Sort x, 474, -5, 0 in descending order.\nAnswer: 474, x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 3*q + 3*m - 150, -134 = -3*q + m. Suppose -486 = -i - q. Suppose 0 = a + 2840 - i. What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/14 + 10*r**3\/21 + 8*r**2\/7 + 8*r\/7 + 9. Factor f(g).\nAnswer: 2*(g + 1)*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d + 10. Let b(z) = -9*z + 11. Let q(h) = -3*b(h) + 4*w(h). Let y(n) = -5*n + 4. Calculate -3*q(f) + 5*y(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*4\/(-8)*1. Suppose 6 = -2*n, -q + 0*q = -j*n - 113. Let p = 72 - q. What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 12*c**2\/5 + 6*c\/5 - 4.\nAnswer: 2*(c - 1)*(c + 2)*(c + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37359 - 37355. Solve h = t*a + 13, -a + h + 5 = -2*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554 - 484 = 14*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-662*j**2 - 298*j**2 - 459*j**2 + 463*j**2)*(0*j + 0*j + 2*j**2 + j**2 + j**2 - 4*j**2 + (-j + 3*j - 3*j)*(-5*j + 4*j + 3*j)).\nAnswer: 1912*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5045124394 + 131?\nAnswer: 5045124525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106943.\nAnswer: 229, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g = 22*g + 6. Suppose -g*p + 5*l + 5 + 26 = 0, 2*p = 2*l + 16. Suppose -13*h + p = -23. Solve -2*y = h + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289 times -66\nAnswer: -19074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*g**3*k**2 + 377225*g**3*k + 5367960*g**2 - 22*k**2 wrt g.\nAnswer: 300*k**2 + 2263350*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(11\/5))\/(q\/q**(-12)*q) assuming q is positive.\nAnswer: q**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*z - 134*z + 78*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36*(-2)\/(-4) + 4. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111132 (base 5) in base 7?\nAnswer: -14264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*v - 1236*v - v**3 + 412*v.\nAnswer: -v**3 - 466*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tch when three letters picked without replacement from hhhxhhttcch?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00678445281 to five decimal places.\nAnswer: 0.00678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 156*j + 155*j, -6*j = 2*b - 0*b - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 19*i - 11*i = 0. Suppose i = 21*s - 46 - 17. Solve -h + s*m = -3*h + 3, -2*h = -m - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1331) + -1 + sqrt(121)\/(sqrt(539)*-6).\nAnswer: 4 + 461*sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 89024\nAnswer: -89028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 92*c**3 + 314*c**2 + 980*c.\nAnswer: -2*c*(c - 5)*(c + 2)*(c + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -16) + -9 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 8}. What is prob of sequence ff?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5\/3, 0.032734, 0.04, -0.1, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 16*t = -4*d + 296, -4*d + 3*t = -296. Let m = d - -223. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, n: 4, c: 2}. Give prob of sequence cc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4337.61573 - -0.38427. Which is smaller: l or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)\/(d*d\/(d**(-35)\/d*d)*d))\/(d*d\/(d**14*d)*d**(-19)) assuming d is positive.\nAnswer: d**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13*o + 3. Let b(d) = -15*d + 3. Let w(i) = 6*b(i) - 7*x(i). Let t be w(10). Solve r = t*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + (-940)\/100 - (-58)\/(-5). Let r(q) be the third derivative of -8*q**5\/5 + q**4\/6 - 14*q**3\/3 - q**2. Let g be r(m). Round g to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.7, -5, -3\/8, 0.1, 2\/61?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcooqvvqoc. What is prob of sequence vc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2543\/132 + 292\/33. Let n = 4653 - 74519\/16. Find the common denominator of n and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 559720.6 millimeters?\nAnswer: 0.5597206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3539 = -r, 4*f - 3533 = 2*f - r. Suppose -2*a - 3*l - 95 + 975 = 0, -f = -4*a - 4*l. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372000)\/(-140000) - (-18)\/(-10).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -0.5. Let x = w + -0.5. Let f be (8\/(-52))\/(0 + 1). Which is the nearest to -0.2? (a) x (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.8 - -69.8. What is the third smallest value in -1\/6, k, 5\/4, -10\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 + 1588951*a**4 + 19*a**2 + 36408 wrt a.\nAnswer: 120*a**2 + 38134824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 42*y = 29*y - 59664. List the prime factors of y.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - c - 20. Let a be z(-5). Let l(k) = k + 74. Let u be l(-44). What is the greatest common factor of a and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/930 and (-1)\/((-8)\/(-912)*-14)?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*o - 305*o + 2*o**2 - 2*o**2 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2462786 divided by 2\nAnswer: -1231393","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0253 and -4912625958.\nAnswer: -4912625958.0253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 4. Let j(d) = -6*d**2 + 7*d + 80. Give j(v) - 3*u(v).\nAnswer: -6*v**2 + v + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -76 - (139 - 27).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(7520\/14100) + 5\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 347*f + 184*f + 178*f to k*f + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 4 = 29*a. Suppose 70 = 8*q - 3*q. Suppose -11 = -q*r + 17. Solve -a = 2*w - o, 3*w - r*w = -4*o + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-14 + 3 + 11 - (-1 - (-12 - 3)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24403 (base 5) in base 2?\nAnswer: -11100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 3 (c) -3.5132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 206171, 206168, 206165?\n\"Answer: -3*y + 206174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 3*m - b, 2*m + 4*b + 14 = 0. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.09 to one decimal place.\nAnswer: -50.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = h + 2118766 - 2118779, -v + 7 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - h + 0 + (3 - 4 + 3)*(4884 - 4884 - 549*h) + 0*h - 2*h - 2*h.\nAnswer: -1103*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 168*r. Let b(m) = -3*m**2. Give b(v(f)).\nAnswer: -84672*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - (-685)\/(-3). Let f = 230 + m. Let s = f + -23\/9. What is the common denominator of s and 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6873 and 1131.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(5200)*3 - sqrt(5200)) + 1 - sqrt(5200))**2 + 4)*1 + 4.\nAnswer: 40*sqrt(13) + 5207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1.3451298?\nAnswer: -0.13451298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, 432\/7, 5, 1.34, -2\/5 in decreasing order.\nAnswer: 212, 432\/7, 5, 1.34, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 23*p**7\/6 - 27*p**3\/2 - p**2\/2 + 3*p - 63. What is the second derivative of r(v) wrt v?\nAnswer: 3220*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16469 and 4213.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) 1\/2 (c) -14 (d) 9.8 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-1\/8)*z)\/z*z)\/(z*z**(2\/23))*z**1*z\/z**(-6) assuming z is positive.\nAnswer: z**(1617\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6646.67 rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.496 - 4?\nAnswer: -92.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-9)*-1*-33. Let u be k\/2 + 8 + -9. Suppose -4*x = -2*x - u. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -19, 3, -1, 2.3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.2 (c) -0.3 (d) -6 (e) 7\/5 (f) 0.56 (g) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320874831.\nAnswer: 3, 19, 31, 20177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 21 - 12 = 0. Let c = g - -26\/3. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1384 and 37\/3460?\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:26 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908358?\nAnswer: 2, 3, 11, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4)\/(-64) + (-34)\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, -3, 4 in increasing order.\nAnswer: -3, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 35. Sort 0, -2, l, -4 in descending order.\nAnswer: l, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojj when three letters picked without replacement from {o: 1, l: 5, j: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1029*a**5*y - 2*a**4*y**3 - 2*a**2*y**3 - 7*y**3 + 18*y**2 wrt a?\nAnswer: -61740*a**2*y - 48*a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)\/(6\/96). Let f(r) be the first derivative of -r**4\/4 + 28. Let t(v) = 6*v**3. Determine c*f(w) - 3*t(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -38*1486\nAnswer: -56468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -7*s**6\/120 - s**5\/6 + 11*s**4\/24 + s**3 + 2*s**2. Let f be a(-9). Round f to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**6\/360 - z**5\/40 + 5*z**4\/24 - 49*z**3\/3 - 94. Let b(t) be the third derivative of m(t). Determine b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*b + 35310 + 16390 = -659*b for b.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 3 + -4*1\/(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9) - 0)*(3 + 3). Let j = -3 - 1. Put 1, x, j in decreasing order.\nAnswer: x, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384882*g + 1783931*g + 1838928*g - 29179*g.\nAnswer: 3208798*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 268139 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (57\/4 + -12)*4\/3. Suppose j*p = -r - 2*p + 18, -2*p = 5*r - 21. Let f(t) = -t - 4. Let z be f(-6). Solve 0 = 2*n + 2, -z*n - n = r*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuqbhbb. What is prob of sequence bt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001826 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180736?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5756 - 5625. What is the remainder when 3925 is divided by o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 1. Let m be f\/4*4\/(-2). Let u(w) = -m*w + 0*w + w. Let n(j) = -2*j**2. What is u(n(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4 + 30. Let m be (1 + 5\/(-3))*39\/q. Solve -g = g + m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 209753686, 209753685, 209753684, 209753683?\n\"Answer: -o + 209753687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3)*549*56\/(-1260))\/((-6)\/9)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113 = 10*s - 1113 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -251821985 or -251821986?\nAnswer: -251821985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2136356*r**3 + 13736683*r**2?\nAnswer: 12818136","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4220523 - 3477568 = -122*j - 2716099. What is the thousands digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/120 - 11*t**5\/60 - 11*t**4\/24 - 25*t**2. Calculate the smallest common multiple of z(-10) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + 32341?\nAnswer: 32303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3 + 2*k**2 - 14071*k + 7277 wrt k.\nAnswer: -3*k**2 + 4*k - 14071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63234.6, -0.4, 4\/5 in decreasing order.\nAnswer: 63234.6, 4\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from zvvavzzavzmzmmv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -507, -758?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4850027 and -31\/13164359?\nAnswer: 92150513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 6*b**2 - 5*b + 2. Let v be w(-5). Suppose -v*i = 3*i. Calculate the common denominator of -1 + i + 387\/(-45) and -5\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12753 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4790042 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-6 - -3) - (3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*l - 8, -5*x + 15 = -2*l. Let m = x - 2. Let j = -2.04 + 1.94. What is the closest to j in m, 3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, w: 7}. Give prob of picking 3 w.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3929*u**2 - 2078*u**2 - 2287*u**2.\nAnswer: -436*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23528733?\nAnswer: 3, 181, 43331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + z. Let p(l) = -6*l - 2 + 0 + z. Let i be (-2 + 1)\/(5 + 24\/(-6)). What is p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 g when four letters picked without replacement from llqgqqql.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2496) + sqrt(2496) - sqrt(39) - sqrt(39))\/(sqrt(192) + (sqrt(192) - (sqrt(192) + (sqrt(192) - sqrt(192)*-1))) - sqrt(3)).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0 - (2 - 17). Suppose j = 5*c - 2*i, 2*c - 4*i - 4 = 2. What is the second derivative of -16*f**3 + 16*f**c + 5*f**5 - f wrt f?\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82226092*v**5 + 191662508*v.\nAnswer: 1644521840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1580949355710 from 20.\nAnswer: -1580949355690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 489 - 488. Is j > 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 4*g**2 - 5*g + 3. Let k be a(5). Let z be k - 1 - 2\/(-2). Is 14 a factor of (-1)\/3 - (-118)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15412255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 + 0.04. Let v = x - -2.22. Which is the nearest to 1? (a) -0.5 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463634519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + q - q - 2*q**2 - 3*q + 3*q + (6*q - 3*q - q)*(q - 2*q - q) - 11 + 11 - 3*q**2)*(-2*q**2 + 4*q - 4*q + (q**2 - 2*q**2 + 4*q**2)*(4 + 8 - 22)).\nAnswer: 384*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2246520 divided by 5\nAnswer: 449304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.74011931 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157012413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 7.1 (c) -11 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 328\/(-14)*35\/(-10). Let t = o + -64. Suppose 22 + t = 5*f. Solve 2*y = -2*j - f, 0 = 3*j - j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, o: 14}. Give prob of sequence aoa.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, g: 4, v: 4}. Give prob of sequence gg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3070012920.9999334 - -3070012207. Let i = 714 + o. What is i rounded to six dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((24750\/3105 - -2) + 1 + -11)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 316*r**2 + 12*r - 10. What is the hundreds digit of m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 13*q**2 - 34*q + 5. Let y be g(10). Let p(r) = 4*r + 118. Let l be p(y). Sort -4, 0, l in descending order.\nAnswer: 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 4, -12\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 + 7) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*39\/(-2). Let y = x - -16. Solve 0 = -2*d + y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1600149 rounded to 3 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 324030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117992 and 16?\nAnswer: 235984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/55, -423, 504 in decreasing order.\nAnswer: 504, 2\/55, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/132 - (-4)\/(-22). Suppose -2*p = x - 49, -4*p - 5*x + d*x = -95. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 871, 1468, 2459, 3838, 5599, 7736?\n\"Answer: -h**3 + 203*h**2 - 5*h + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.354 + 1.719. Let z = -0.865 + k. Is 2\/35 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-189)*3)\/(2\/(-30)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1211949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131112 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 80*g - 176.\nAnswer: 4*(g - 22)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 17 = 8. Suppose -5*l + 0*l = -a. What is the highest common factor of l and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 8*o - 7. Let c be b(-6). Find the second derivative of -5*v + 6*v - 6*v**c - 3*v**5 wrt v.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrrrrrrormormoorrr. What is prob of picking 2 m?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -61. Let j(y) = -y**3 - 6*y**2 - 4*y - 1. Let b(m) = 4*m**3 + 24*m**2 + 16*m + 3. Let n(r) = p*j(r) + 2*b(r). What is n(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 15515436*n - 77577080.\nAnswer: -4*(n + 5)*(n + 3878854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 5*p - 4, 5*s - 10*s - p = -127 + 124 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 11:43 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (188\/235)\/((-2)\/(-1185)). Suppose -166 = -10*j + o. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161861751 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 71 - 33 - 38. Let o(a) = a**3 + 11*a**2 + 10*a + 4. Let c be o(-10). Let t(v) = -6*v + 0*v + v + c*v. What is q(t(h))?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279150 and 450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 1. Let w be (-1)\/(0 + -1) + 8. Let m be r(w). Let g(y) = 11737 - 11737 + 4*y**2. Let k(p) = -6*p**2. Determine m*g(f) - 5*k(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336115.\nAnswer: 5, 13, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*w + 32*w - 52*w)*(-3 + 2 + 3)*(-1 - 3 + 5) - 2*w - w + w + (7 + 10 - 14)*(2*w - 4*w - w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 = -3*q - 7, 0 = 3*q + 4*s. Which is the nearest to q? (a) 3\/7 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let c(g) = 5*g**2 - 17*g**2 + 191*g - 178*g. Determine v(c(f)).\nAnswer: 288*f**4 - 624*f**3 + 338*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296990 and 13560214.\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/10*(-2230)\/669\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 182*p - 368.\nAnswer: (p - 2)*(p + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 169865, 337839, 505813?\n\"Answer: 167974*l + 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 5:28 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 2*c)*(7 + 3 + 41 - 4).\nAnswer: -47*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:02 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 + 1 = 2*z, 0 = 2*x + 2*z + 6. Let h be 3\/(-9)*3*x. Solve 5*v = f + 14, -h*f + 8 = 4*v - 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(242) + sqrt(242))*-4)**2 + 6*(4*sqrt(242))**2 + -1.\nAnswer: -2112*sqrt(2) + 38863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/n**(-1\/12))*n*n*n**(-4)*n**1*(n\/(n*n**(7\/8)\/n)*n)\/n assuming n is positive.\nAnswer: n**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 46 = -17. Suppose 6*y - y = -q - 176, -2*q = h*y + 324. Round q to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 3, p: 3}. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2472 (base 15) to base 8.\nAnswer: -17115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28277\/5 + -679313\/120. Find the common denominator of m and -19\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + -328180979?\nAnswer: -328180978.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 - 12*c - 19. Let k be s(-10). Which is smaller: 20\/17 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 3*b**2 + 7*b**2)*(6*b + 0 + 0 + 1).\nAnswer: 12*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 9*m**2 + 27*m - 11. Let y be b(11). Suppose -4*v - 7*v = y. Let s be (12\/v - 1) + 3. Is s equal to -3\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 21 - -29 - (-5 - (-8 - 6))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/9769 or 0?\nAnswer: 3\/9769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1971 and 4303861?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -205*k - 408. Calculate q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 5234.\nAnswer: 5233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -866 + 2*t**2 - 2*t**3 + 2*t**2 - 2*t - 4*t**2 + 870 + 5*t**4 in the form f + c*t**4 + k*t**2 + h*t**3 + y*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.011 - 0.042. Let z = -0.081 - n. Let w = 4 - 2. Sort z, -5, w in increasing order.\nAnswer: -5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/(z\/(z**(5\/2)\/z*z*z)))\/(z**(-1\/5)*z**(-3)))\/((z**(-1))**(4\/9)*(z*z*z*z**(-1\/2))**(5\/7)) assuming z is positive.\nAnswer: z**(-517\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-1) + (-2465)\/232.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. What is the units digit of (4\/d)\/(8\/160)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4464, -9038, -13612, -18186, -22760, -27334?\n\"Answer: -4574*j + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -17*x**4\/6 + 11*x**3\/3 - 18*x. Find the second derivative of u(q) wrt q.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1337 divided by -1294.\nAnswer: -1337\/1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15*24\/18*3\/5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467188912.\nAnswer: 2, 29199307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11670 (base 8) to base 4.\nAnswer: 1032320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376.975 - -377. Let a = -2.831 - z. Round a to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c + 62415 + 23737 = 0. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s, -41182 + 1445 = -x + 4*s. What are the prime factors of x?\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + ((-6*(sqrt(288) - sqrt(288)*1) - sqrt(288) - sqrt(288)) + -2 - -1*(sqrt(10) - sqrt(40))\/sqrt(5)*4)).\nAnswer: -168*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -12*o - 13. Suppose 4*x - x - 3 = q, 2*q = 5*x - 6. Let k be h(q). Suppose -2*f + k = -37. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3199 is divided by 108.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-135) - 1462\/(-18). Let g = h - 77. Solve -6 = g*o - o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 = -4*c + 2*z, z + 2*z = 3*c - 381. Let x = c + -126. Solve s + x = 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -11*d + 18. Suppose 3*x = -3*i + d*i + 137, -103 = -2*x - 3*i. Calculate the remainder when x is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5143 - 5099 = 4*g - 9*j, -23*g + 253 = 5*j for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -17. Suppose 34*k + 4 = 30*k + 4*a, 2*a = 6. Sort z, k, -130 in increasing order.\nAnswer: -130, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a - 84. Suppose 2*c - a = -c. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 446?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*x + 5*a + 4, -3*x + 2*a = -12. Let c(z) = -10*z**2 - 2*z + 11*z**2 + 8 - 2*z**x. Let d(u) = 2*u**2 + 4*u - 15. Give 11*c(w) + 6*d(w).\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (720\/2700)\/(8\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1055, -775, -253, 517, 1541, 2825?\n\"Answer: k**3 + 115*k**2 - 72*k - 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44270216 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15b3 - -9?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:01 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 14016?\nAnswer: 70080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033821 to seven decimal places.\nAnswer: 0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {h: 2, t: 4, d: 4, e: 9}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.03\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 - (26 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 2:40 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.23 (b) 2 (c) 6\/41 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + -92.21. Let r = -3336140.2099927 - -3336139. Let d = v - r. Round d to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57 + 1a?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96.3 - -96.299999248. What is b rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (1*sqrt(1862) - sqrt(1862)))*6*6)\/((sqrt(576)*1)\/(sqrt(72)\/(-1*sqrt(9))))*3.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oexooxoxexo. What is prob of picking 1 o and 2 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = 44. Let j be (24\/c)\/(14\/(-21)). Calculate the greatest common factor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11750 less than or equal to 7325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 + 4*k + 2. Let b be u(-4). Suppose 3*y + 2*c = 135010, -b*y + 89985 = -2*c - c. What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5076 is divided by 149.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*c - 12*c + 16*c)*(-c**2 - 2*c**2 + 5*c**2) - 1230 + 1230 - 7*c**3 to the form k*c + m + u*c**2 + x*c**3 and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1 + (4 - -39). Differentiate -102*k + o*k**2 - 21 + 102*k wrt k.\nAnswer: 88*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 2, k: 10}. What is prob of sequence zzw?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - 0)*0)\/((-5522)\/(-502)). Solve -10*k - 48 + 118 = y for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 565386036 and 739792.\nAnswer: 2261544144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-28))\/(-5))\/((1350\/210)\/15*-11)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i - 1. What is the remainder when a(2) is divided by (2\/(-3))\/((-2)\/(-1 - -31))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 61 + -17 - 47.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-8)*(18 - 0\/3). Let y = p + 279. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0061234um in centimeters?\nAnswer: 0.00000061234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1127, -1114, -1069, -974, -811?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 148365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3684 - 644. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 34*k**3 - 160*k**2 - 128*k.\nAnswer: -2*k*(k + 1)*(k + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**4 + 7282125*c**3 + 7282135*c**2 - 7282125*c - 7282130 = 0.\nAnswer: -1, 1, 1456426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 3*w - w)*(0 + 0 - 2*w) + 0*w**2 + 7*w**2 - 4*w**2 + (2*w - 2*w + w)*(2 - 2*w - 2) as s*w**2 + h*w + l and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 12.42016\nAnswer: 186.3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 391 - 340. Differentiate l + 0 + 58*o + 29 with respect to o.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72 - (-14 - 9)) + 22\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 385, 3574, 6761, 9946, 13129, 16310?\n\"Answer: -s**2 + 3192*s - 2806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a factor of 180400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001779159 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313744, -627418, -941078, -1254718, -1568332, -1881914, -2195458?\nAnswer: -2508958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 6 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 4. What is the remainder when 27 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 783336, 3133321, 7049966, 12533271?\n\"Answer: 783330*r**2 - 5*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a**4 + 7*a**4 + 6*a**4)*(-5*a + 2*a + 4*a) + 899*a**4 - 50*a**5 - 899*a**4.\nAnswer: -47*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 20*t - 30 = 18*t, a + 4*t = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (56 - 26) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2 - 1) + 4. Suppose 0 = 4*z - q*a - 26, 2*z - 7*z - 4*a = 0. What is the units digit of z\/(-22) - (-285)\/55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*y - 1364 + 108 = 0, -y = -5. Is l\/14 - 1\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + -11 + 24 + (-2 - 24)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 - (4 + -4))) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t + 0 + 19\/96*t**4 - 37*t**2 + 1\/4*t**3 - 7\/240*t**5. Suppose k(q) = 0. Calculate q.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 + 4*u**2 + 4*u - 4. Let t(f) = -2*f**3 + 5*f**2 + 5*f - 5. Calculate 5*k(r) - 4*t(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 0*c + 3*c + 2*c - 3*c - 2*c - 3*c + 2*c + 3*c + (6 - 1 - 4)*(-2 + 2 + c) + 0 + c + 0 + 4 - 4 + 5*c + (-2 - 5 + 5)*(5*c + c - 2*c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -187*p - 2985. What is n(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and -211\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2138, 14, 10, -1 in ascending order.\nAnswer: -1, 10, 14, 2138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((sqrt(330)*1)\/sqrt(10))\/(sqrt(704)\/sqrt(4))).\nAnswer: -sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + 1044\/8. Let p(g) = -k*g - 126*g + 257*g + 21*g**2. Let y(d) = 2*d. Calculate y(p(a)).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 84 = -4*n, w - 41*n - 36 = -45*n. What is the highest common divisor of 25 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 9*s**2 + 3. Let t be x(-9). Suppose -5*d = -t*d + 20400000. Round d to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -2, -71\/2, 0.5 in descending order.\nAnswer: 0.5, -0.5, -2, -4, -71\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -137\/6. Let z = -1.5 - -1. Let q = -1.5 + z. What is the third biggest value in q, 0.1, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(5 - 1 - 3)*(-5*j**3 - 4*j**3 + 0*j**3)*(j + j + 0*j).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.268*4\nAnswer: -17.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {c: 3, x: 5, q: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 35*d + 20. Let j(x) = 23*x + 13. Let m(g) = 8*j(g) - 5*w(g). Calculate the remainder when m(3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:52 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = b - 40. Solve b*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 14 - 16*a**2 - 39*a**2 in the form y + w*a + j*a**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -769, -770, -771, -772?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -14, -2, 1, 11332 in descending order.\nAnswer: 11332, 1, -2, -4, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m = -28*m - 90. Solve m = 3*c + 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*p + 3*n - n, -2*n - 6 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Let f be (-3)\/((-1)\/(-36)*g). Let n = -31 - f. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -29*j**2 + 17. Let m(d) = -10*d**2 + 6. Suppose -f - 2*f = -i - 23, -35 = -5*f + i. Give f*n(a) - 17*m(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -2\/3 (c) -1.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*h + 4. Suppose 5*d + b - 5*b + h = 0, 0 = -3*d + b - 8. Let n = -7 - d. Which is smaller: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.875819?\nAnswer: 2.627457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 446713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 154.476 millilitres?\nAnswer: 0.154476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00614 + 0.13386. Sort -4, -8, m, -9 in ascending order.\nAnswer: -9, -8, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - b**2)*(-1 + 1 - b) + (270*b**2 - 415*b**2 + 334*b**2)*(-2*b + 0*b - 3*b)*(4 - 2 + 1) to v + i*b**2 + x*b**3 + y*b and give x.\nAnswer: -2834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 4. Suppose -z - g - 4 = 0, -3*g + 5 = 2. Let m(p) = -1. Let f(n) = z*m(n) - x(n). What is f(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/12 - (-4)\/8)*-4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 8*k + 2 + 3*k - 1. Let t be j(-4). Suppose -3*n = t*c - 11, 2*c + 4*n + 1 = n. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1.9.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:56 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*160\/(-10))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 38 (b) 3 (c) -4\/9 (d) 2\/25 (e) 2\/3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1935)*3*16916. Let h = 392\/15 - c. Let u = h + -58\/301. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*z = 144*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = k - 1, k + 4*v = 3. Suppose -d + k*d = 0. Suppose h - 2 = -5*u + 6, d = -4*h - u + 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2 + 0 - 7. Let s(x) = x - 9. Let z(i) = -79*i + 6474. Let d be z(82). Determine d*s(f) + 7*u(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1716 (base 12) to base 15\nAnswer: c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -134548 (base 11) in base 12?\nAnswer: -a20b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(16\/10)*(-18)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.8 - -26.8. Let x = 3 + -3.5. What is the biggest value in g, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/19))**(-5)\/((h*h*h**4*h*h)\/(h*h**(-2\/13))))**30 assuming h is positive.\nAnswer: h**(-93960\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Suppose -s*i = -3*g + 29, 27 = g - 5*i - 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 70*s - 55*s = 21, s = 5*s + 2 - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 - 8078*s**2 + 2*s - 7070?\nAnswer: 6*s - 16156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*y + l, 21 = 2*y + 4*l + 61. Let s be 3\/((-33)\/y + -2). Find the third derivative of -4*z**3 + 4*z**3 + s*z**2 - 2*z**4 - 5*z**2 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 1089*h**2 - 21385*h + 32. What is l(20)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2155*w**2 + 15*w + 38*w - 3*w**3 - 2179*w**2 wrt w.\nAnswer: -18*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 190\/8 + 1\/4. Let a = 4 + -18. Let p = a + g. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-17)\/(-34)*55)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 1, e: 7, k: 8, j: 2}. What is prob of picking 1 c, 1 j, and 2 e?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432866*k**2 + 4*k**3 + 216465*k**2 + 216401*k**2 - 11*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13637\/1540 + 33\/140. Let b = c + -13289\/1463. Is b at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 5. Calculate the remainder when 79 is divided by b(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 3:49 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -222, -457, -668, -843, -970, -1037, -1032, -943?\n\"Answer: 2*q**3 - 249*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/27608 and -3\/34.\nAnswer: 27608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3278 divided by -46\nAnswer: -1639\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 8*f - 3*f**3 - 24 + 1\/4*f**4 + 4*f**2. Calculate the least common multiple of 24 and w(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = 16. Suppose -1 = h, -3*i + 69 = 2*h - 5*h. What is the lowest common multiple of q and i?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 i when three letters picked without replacement from iigiggggigggggggggg?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 27. Let s be v(9). Suppose 147 = 3*l + m, l + 5*m - 63 = -s*l. What is the greatest common divisor of 32 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let i(a) = -1. Let w(y) be the second derivative of -y**3\/3 - 2*y**2 - y. Let r(f) = 4*i(f) - w(f). Determine r(t(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f + 140*f - 54*f)*(-56*f - 41*f + 34*f).\nAnswer: -4725*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.72 + 19.08. Let w = 19.80961 - s. What is w rounded to 4 decimal places?\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -41.000149. Round n to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1452741 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92.82 - 93. Let y = -31 + 31. What is the nearest to y in -2\/5, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:03 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 188, 219, 234, 227, 192, 123, 14?\n\"Answer: -k**3 - 2*k**2 + 44*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 9*a**2\/2 - 17. Suppose 0 = 2*d - 161 + 155. Let k(b) = 10*b. What is d*k(s) - 4*m(s)?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/5 - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/20 - 13*d**4\/12 - 7*d**3\/3 - d**2 - 41*d. Let n be c(-12). Let z = 83 + -60. Are n and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854357719 to the power of 1\/2, to the nearest integer?\nAnswer: 29229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -2)*2\/(-4)*-586 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107288.15 rounded to the nearest 1000?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**2 + 5*x. Let r(l) = -4*l**2 + 3*l. Let p(y) = -5*r(y) + 3*w(y). Let q(d) be the second derivative of d**4\/6 + d. Determine q(p(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g**4 + 7*g**4 + 33*g**4 - 5*g**2 + 2*g**4 + 5*g**2 + (-g**2 - g**3 + g**2)*(g + g - g) - g**4 + 0*g**4 - g**4.\nAnswer: 49*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 2 = 3*h + 41, 0 = 4*b - 20. Solve 2\/5*f**4 - 4\/5*f + 2\/5*f**5 - 6\/5*f**3 + 0 - 2*f**h = 0 for f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**3 + 26 - 8 - 17.\nAnswer: -37*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016 and 254?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(11) - (sqrt(11) + sqrt(22)\/sqrt(2))))\/(sqrt(20)*-1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/49360651?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let y(s) = s + 14. What is -3*g(j) - y(j)?\nAnswer: 2*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2150 and 121\/150.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3024))\/sqrt(7) + 5 + 1 + 2*((sqrt(24) + sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(8) - -1*sqrt(3)*-1).\nAnswer: 6 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223 + -222.9. Let z = -3.6 - -0.6. Which is the closest to w? (a) -2\/3 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*(-4)\/(-10) - 2. Suppose -r = n + 1, 0 = 4*n - t - 2. Let v = 4 + r. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/45)\/(4 + 225\/(-60)). What is the nearest to 0.1 in 0.1, 1, 4, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33762*k**3 + 18*k**2 + 408?\nAnswer: 202572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140465648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1 (c) 290\/9 (d) -4 (e) 1\/3 (f) -3 (g) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 36.5223?\nAnswer: 1022.6244","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 4*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482622, 482604, 482582, 482556?\nAnswer: 482526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((70\/(-7))\/(-5))\/(2\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17\/7 + 18\/7. Let t = -0.5 - 0.4. Let k = 0.5 + t. Which is the nearest to -1? (a) k (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3667, -4054, -11773, -19490, -27205?\n\"Answer: b**2 - 7724*b + 11390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 6*z**2 + 7*z - 6. Suppose 5*g - 3*q + 35 = 0, -2*g = -7*g + q - 35. Let y be c(g). Let r be 50\/15 + 2\/y. Solve 4*w - 1 - r = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307341020?\nAnswer: 2, 5, 89, 421, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjj when three letters picked without replacement from {j: 8, f: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11741 + 129171\/11. Solve 2\/11*p**2 + z*p + 50\/11 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -1\/54*d**4 + 0*d**3 + 0*d**2 - 10 + 2*d. Let f(j) be the first derivative of a(j). Factor f(l).\nAnswer: -2*l**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, n: 1, p: 2, y: 1, s: 3, g: 2}. What is prob of sequence gsgt?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 9. Let r(y) = y - 8. Let j(i) = 5*g(i) - 6*r(i). Let n(a) = -a - 8. Let k be n(-10). Let t = k - 0. Calculate j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 37*f - 10*f - 2*z - 17 = 15*f, -75 = 3*f + 12*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(3 + 1 - 3)*((0 - 13 - 2)*(3*z - 7*z - z) + (-2 + 0 + 1)*(-2*z - 2*z + z)).\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 4. Let v be 1 - 26\/(-4) - (-390)\/(-780). Determine i(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 69169 = 377631. Round a to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2508 and 53292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express m - m**2 - 9*m**2 + m**3 - 14*m**2 - m**4 + 3*m**4 in the form o*m + r*m**4 + b*m**3 + z*m**2 + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3440 times 3\nAnswer: -10320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 10*j**2 + 37*j + 6. Let u be q(3). Put -1, -352, u, 5 in decreasing order.\nAnswer: 5, u, -1, -352","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/16*(-15)\/(-120)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*c - 43. Suppose 3*i + 5*k + 21 = 4*i, 3*i + 4*k - c = 0. Solve -4*b + i = -3*j - 8, 8 = 2*b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 2, d: 1, j: 2, g: 1}. Give prob of picking 1 j and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11372 and 125092?\nAnswer: 125092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*d + 10\/3*d**3 + d**5 + 2\/3 - 10\/3*d**4 + 0*d**2.\nAnswer: (d - 1)**4*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - (-6 + 57)) + 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-5))\/((-50)\/(-20)*(-12)\/(-225))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6608154?\nAnswer: 2, 3, 7, 43, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = -8, -4*j - 3*d = 6. Suppose 0 = 5*h - 15, -3*l = -8*l - 5*h + 25. Let p be 1*l*(-1 - -3). Sort p, j, -5.\nAnswer: -5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwcwwwwcwc. What is prob of sequence wcwc?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38d + 16?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 150*d. Let f(g) = -5024*g. What is n(f(o))?\nAnswer: -753600*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 1:29 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z. Suppose 2*i = 1 + 5. Suppose -2 = p + 3*m - 3, i*m - 3 = -3*p. Sort p, -1, z in descending order.\nAnswer: p, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8554160 to the power of 1\/2, to the nearest integer?\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21654 and 5555454?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:04 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 39 = 2*o - 2*t, -5*o - 2*t = -141. What are the prime factors of (o\/21 - 3)*-7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/5*f**2 + 8*f**3 + 8\/5*f + 0 + 8\/5*f**4.\nAnswer: 2*f*(f + 4)*(2*f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(0 + (-1 - -2)). Let v be (w + (-2)\/(-6))*-3. Let p(k) = -7*k + 2. Let f be p(-2). What is the highest common divisor of v and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16466920 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: List the prime factors of 21133308.\nAnswer: 2, 3, 7, 127, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m = 0. Let c = -1609 - -2693. Let t = c + -1085. What is the smallest value in 2\/23, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -53\/5. Let t = -2.06 + 0.06. Let g = 1 - t. Which is the biggest value? (a) j (b) 1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*l - 190*l - 194*l = 915 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-4*z - 3*z + 4*z)*(4 + 1 - 2) - z + 4*z - 2*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34913354 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1160 and 264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*s - 161*s**3 + 545*s**3 + 5*s - 166*s**3 - 220*s**3.\nAnswer: -2*s**3 + 40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.148 + 0.14800133. Round w to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006185 to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 9 + 21)*((2*z - 2*z - z)*(4 + 2 - 5) - 2*z - 4*z + 2*z - 2*z + 3*z + z)*(-3 + 2 + 20*z - 22*z) as f*z**2 + a*z + c and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 752*u + 448*u - 595*u**4 + 998*u**2 - 998*u**2 - 536*u**4 wrt u.\nAnswer: -13572*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 621 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -9. Suppose 4*o - p*y - 98 = 0, -4*o - 5*y + 45 = -33. Calculate the greatest common divisor of 176 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) -0.1 (c) -2.8 (d) 0.02 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410\/492*2\/10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*q = y - 7, -y = 2*q. Let o be 1 + 122\/(-44) + y. Let l = o + 25\/132. What is the common denominator of l and -125\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 7 - -14) + -4 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/((-3)\/(-90)). Suppose 3*a + r - 30 - y = 0, 0 = -5*a - 2*r + 71. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 404737.7 nanometers?\nAnswer: 0.0000004047377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367705 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15777006 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*j + 14 - 2, 0 = 3*m - 9*j - 90. Suppose 5 = 2*i - 3*u, -7 = -5*i + 2*i + 4*u. Let n = i - -2. What is the highest common divisor of n and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -63*u - 6294. Let a be o(-100). Solve -2*n = 2 - a, 8 = -4*m + 2*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4))**(7\/4)\/(z**(-9)*z**(2\/21)))**16 assuming z is positive.\nAnswer: z**(1228\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 + 2*y**2 - 1. Let r be k(1). Let x(w) = -w. Let q(d) = 2*d**3 - 5*d**2 - 11. Let m(p) = q(p) + 3*x(p). Is m(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -64*c - 4. What is the tens digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 11*r + 35. Suppose 9*s - r*s - 44 = 0. What is the highest common divisor of s and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, -30\/13, 1\/116?\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4) + (0 - -5) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14244.2847796 - 1.4.\nAnswer: -14245.6847796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*b + 271*b - 20 = 0. Let c be ((-11)\/22)\/(2\/(-16)). Solve -4*p + b*p - 28 = c*s, 4*s = -3*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/5 + 192*v**2\/5 - 6144*v\/5 + 65536\/5 = 0. What is v?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 149, 187, 225, 263, 301?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7444, -9334, -12482, -16888, -22552?\nAnswer: -29474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90017 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. What is the highest common divisor of 116 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5506153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/17*-2*(-8)\/(384\/16)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2084, -2077, -2064, -2045?\n\"Answer: 3*b**2 - 2*b - 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.6 + 90. Sort s, 5, -2 in increasing order.\nAnswer: -2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6233*p**3 - 938 wrt p?\nAnswer: 18699*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-140)\/(-21)))\/((-15)\/(-75))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 46) + 29 + (-9 - (22 + -13))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -19 - 97*x - 57*x + 288*x. Suppose -5*v = n - 4*n - 4, 0 = -4*n + 4*v + 8. Is k(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*h - 4. Let i be (-4)\/h + 10\/(-8). Which is the closest to i? (a) 0.2 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2802*a**2 - 249*a**2 + 147*a**2.\nAnswer: 2700*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-24)*(4 - 1). Suppose 13*c - 4*c - 369 = 0. Suppose a = -3*k + 16, 0 = 4*a - k - c + 3. Solve 3*g + 3*w = 8*w - a, -2*g - t*w = 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 + -35\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1302 and 349042.\nAnswer: 350344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 - 8612\/59. What is the third biggest value in -0.4, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5014087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + ((5*(sqrt(3072) + 3))**2 - 1*(sqrt(3072) - (sqrt(3072) + sqrt(3072)*2))**2) + 0).\nAnswer: 19200*sqrt(3) + 258944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/3 + 1087*r**3\/3 + 1090*r**2\/3 - 2176*r\/3 = 0.\nAnswer: -2, 0, 1, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 5 + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 - 3*x - 8. Suppose 0 = -7*t + 4*t + 54. Calculate the least common multiple of i(-4) and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(1 + 1*sqrt(45)\/sqrt(36)))**2.\nAnswer: 8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106568 and 67.\nAnswer: 7140056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 44583 = 286*j + 1070*j for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h**2 + 6*h**2 + 2*h**2 - 7 + 2*h**2 - 8*h. Let c be t(9). Let b be -3*((-18)\/c - -4). Solve -3*q = 2*q - b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344 - 198. Suppose -2*t + 4*z + 80 = 0, z - y = -4*t + 2*z. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**3 - 3*i**2 + 11*i + 34. Calculate the least common multiple of 273 and t(-4).\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123357 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2\/(4\/6). Let h(f) = f + 5. Let m be h(v). Solve -2*q + m = 0, 3*n + 5*q = 3*q + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1010 + 683. Let r = 380 + t. Calculate the least common multiple of r and 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhjhhhuhhjj. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + h - 2*h**2 - 4*h)*(-244*h - 1078*h - 618*h) + (1 - 2*h - 1)*(5 - 5 + 2*h**2) + h**3 + 3*h**3 - 5*h**3 + h**3 + 0*h + 0*h + 2*h**3 - h**3 + 0*h**3.\nAnswer: 3877*h**3 - 3880*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -288*z - 65*z - 8174 - 4229 - 2423 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + o + 5411 = 21128, 3*i = -3*o + 23574. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 512801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*b - 3*b. Suppose 4*f - 14 = -3*p + b*p, 0 = -3*f + 15. Solve 5*m**p + 2*m**2 - m**2 - 4*m**3 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24917 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-1 + 1 - 2*k**2) + 1 - 1 + k**2 - 3*k**2 + k**2 + 3*k**2 + 1 - k**2 - 1.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(5\/6)\/g)))\/g)**23\/((g\/g**(-2))\/g**13) assuming g is positive.\nAnswer: g**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*k - 36 = 3*c + 77*k, 4*c + 53 = 4*k - 10 + 11 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.3 + -1.3. Let p = -543 - -177. Let q = -367 - p. Which is the second smallest value? (a) i (b) -4 (c) -5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110.3326434 microseconds to weeks.\nAnswer: 0.0000000001824283125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5+-174\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 26 + 13)*(-1 + 2 - 3)*(-40*n - 65*n + 34*n).\nAnswer: 3834*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 60\/8*(14 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*y = -3277*y - 171882 + 482908 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from zizqxqqqqxzxqqxqqq.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 7) + -7 + -3 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, 39, 2 in descending order.\nAnswer: 39, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 172869, 172642, 172263, 171732, 171049, 170214?\n\"Answer: -76*m**2 + m + 172944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -42 (b) 3 (c) 1\/3 (d) 2\/11 (e) -2\/13 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -11. Let u = v - 28. Which is greater: -1\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338.7249 rounded to the nearest ten?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -271 in ascending order.\nAnswer: -271, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5\/6, 2\/21, 1, -4\/7, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*m + 14. Let q = m + 68. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Suppose 5*p + x*y = 95, 1 = 2*p + y - 40. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 12*x + 12. Let y be u(5). Solve 4*f = 4*r + 20, -6*r + 7*r + y*f - 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 3, i: 1, r: 5, w: 1}. What is prob of sequence rwiu?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 542552 (base 6) to base 10\nAnswer: 44708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20460)\/(-155)*(-13)\/(-260)*-15.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/((-7308)\/(-27))*-10\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*l = -9*l + 19, 3*r + 3*l - 15 = 0. What is the remainder when 40 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 91 - (-147 + 176)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -11*x - 11. Let j be (3\/x*0)\/(-4). Solve -5*a + 6 = -2*g, 0 = -3*g - j*a - a - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/185*10\/6)\/((-6)\/432)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*j**3 + 21*j**2 + 12783*j wrt j?\nAnswer: 270*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -3415, 4 in decreasing order.\nAnswer: 4, 3, -2, -3415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 8*b**2 - 12*b - 22. Let h be l(-9). Suppose 20*v - 4*i - 38 = 17*v, 50 = h*v - 4*i. What is the highest common factor of 678 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3703647 + 1?\nAnswer: -3703646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + (-156)\/(-336). Let h be ((-16)\/(-12))\/(20\/(-6)). Suppose 3*y + y - 4 = 0. What is the third biggest value in y, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/6 + (-4)\/6 + -51 + (-1456)\/(-28)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:43 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -4, -41, -114, -235, -416, -669?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-29*o**2 + 29*o**2 + 19*o**3 + (-o**2 + 2*o**2 + 0*o**2)*(0*o + o + 0*o) + 2 + o**3 - 2).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*r**3 - 4*r + 613597*r**2 + 4*r - 613598*r**2 - 1906 wrt r.\nAnswer: -96*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/6*5)\/((-45)\/6133230) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/65 + (-207)\/(-78)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((6*sqrt(133)*2)\/((sqrt(126)\/sqrt(3))\/sqrt(6)) + 4).\nAnswer: 20 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/9 - 79*s**4\/9 + 161*s**3\/9 - 9*s**2.\nAnswer: -s**2*(s - 1)**2*(s + 81)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3708*x**2 + 731375*x**3 - 3708*x**2.\nAnswer: 731375*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 305 and 6.\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3\/(-9)*3. Let q be 3 - (-3 - -2)*d. Suppose a - 2019 = -q*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-12)\/120*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - f + 5. Let h be x(5). Let r(c) = 10*c**2 + 6*c - 9. Let j be r(3). Let z = 174 - j. What is the greatest common divisor of z and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-450)\/36)\/(-5))\/(1\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -492400*f**2 - 1499811*f?\nAnswer: -984800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42550359 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - (-1 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:55 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 25*a + 6 - 11. Let b(z) = 3*z**2 - 4*z + 9. Calculate b(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 2*z**3 + 5*z**3 + 6*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8603294 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -148, -134, -94, -16, 112, 302?\n\"Answer: 2*i**3 + i**2 - 3*i - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**4 - 98*h - 41*h**2 + 41*h**2 + 102*h + 4*h**3 + 2 as j*h**4 + z*h + p + y*h**2 + u*h**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.35 * 3\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 4*x)*(-x + 0*x - x) - 32*x**2 - 20*x + 20*x + 0*x**2 + x**2 + 3*x**2 + 4*x.\nAnswer: -30*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -885, -888, -891?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 5) to base 4.\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 7*a**2 + 6*a + 7. Let r be m(6). Let t(w) = -2*w**2 - 6*w + 33. Let o(v) = -3*v**2 - 5*v + 41. Let u(g) = -3*o(g) + 4*t(g). Calculate u(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 + 336*n + 6645\/4.\nAnswer: 3*(n + 5)*(n + 443)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132105582 and 2556?\nAnswer: 264211164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 5 (c) 0.4 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3354 - 2319 = -31*d. Solve 5*n + d = 198 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - 47 - (2 - (-1 + -2 + 0 - 11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(1 + (-24)\/10). Suppose 4*i = -i + 5*t + 15, 0 = 2*i - t - l. Let c(h) = 2*h + 4. Calculate c(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-1 - -3) - -1. Let r(t) be the second derivative of 0*t**2 + 0*t**4 + 0*t**l + 1\/20*t**5 - 2*t + 0. Suppose r(z) = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*m = 95, -15*a + 23*a - 12*m + 10 = 10*a + 59 + 221 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3051830, 3051820, 3051802, 3051776, 3051742?\nAnswer: 3051700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*q - 7*q + 2*k + 210, 6*k = 4*q - 1554 + 1312 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 12830?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 528. Let c(n) = -n - 220. Let a(d) = -12*c(d) + 5*v(d). Let w(q) = -167*q. Calculate a(w(t)).\nAnswer: -334*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111112111110 (base 3) in base 11?\nAnswer: 172206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 4*h = -25*h + 470. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 371*b**2 - 2*b + 4. Let o(j) = 3*j**3 + 1105*j**2 + 5*j - 14. Calculate 7*d(t) + 2*o(t).\nAnswer: -t**3 - 387*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyq when four letters picked without replacement from yqyqqqqqyqyyqqyqqq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 169dff (base 16) in base 14?\nAnswer: 2a8263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/21)\/((-4)\/(-2)*-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 - 4976520*x**2\/11 + 3095708960736*x\/11 + 12382915467392\/11.\nAnswer: 2*(x - 1244132)**2*(x + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.9. Let i = -104.5 - -104.469. Which is the closest to 1\/4? (a) f (b) i (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 0*c + 1\/2*c**2 - 20. Let a(l) = -2*l. Let q(x) = 15*x. Let s(p) = -33*a(p) - 4*q(p). Calculate s(h(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60099, -120167, -180235, -240303, -300371?\n\"Answer: -60068*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:52 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129348607799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*6\/32)\/(18\/7912). Let k = a - 165. What is the closest to -2\/19 in k, 4, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2065896 and 2065896?\nAnswer: 2065896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 + k**2 + 3*k**2 + k**2 + 4*k - 4*k + (-3*k - 18*k + 2*k)*(-7*k + k + 5*k).\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*t - 968 + 334, 4*n + 4*t = 652. Are 162 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p**2 - 5*p + 5. Suppose 28*y - 33*y - 20 = 0. Let j be (0 - 0) + 1 + 4. Let g(v) = -7*v**2 - 6*v + 6. Calculate j*q(t) + y*g(t).\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*8\/1 - 1. Let n(g) = -g - 4. Calculate n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - 1308\/18*(-3)\/2?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/18*-3*3. What is the third derivative of -1 + 3*l**3 + 0*l**3 + 496*l**5 - 3*l**2 + 0*l**3 - 503*l**j wrt l?\nAnswer: -420*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 5*m**4\/6 - 2*m**2 - 32. Let q(i) = -2*i. What is q(a(r))?\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.042389m in nanometers?\nAnswer: 2042389000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13324*o + 123038 - 452304 = 10195*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5861*d - d**3 + 7 - 3 + 2.\nAnswer: -d**3 - 5861*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3690.342ng to kilograms.\nAnswer: 0.000000003690342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17757814946854 minus -3?\nAnswer: 17757814946857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1880902 (base 11) to base 12.\nAnswer: -1093290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*t - 5884 = 0, -130*t = 2*q - 129*t - 3897. List the prime factors of q.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 26538*j - 79616\/3.\nAnswer: 2*(j - 39808)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30032881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-2891)\/245 + (-2 - 8) + (-2192)\/1860\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 15. Let u be (i\/3)\/(3\/9). Let h be (-3 - 0)\/(6\/(-4)). Solve -7*o + h*o = u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, r: 1, c: 3, u: 1, i: 3}. Give prob of picking 2 l and 1 r.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453009?\nAnswer: 3, 29, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79788867 + -2126.\nAnswer: -79790993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255 - 242) + (-2 + -4 - -2) + 1 + 59.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39fa (base 16) in base 6?\nAnswer: -152414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5568.18t?\nAnswer: 5568180000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/(v*v**(-2\/11)\/v)*(v\/(v*v*v**(-9))*v)\/(v\/v**(-1\/5)))**42 assuming v is positive.\nAnswer: v**(53774\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19357867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(1000))\/sqrt(2).\nAnswer: -150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -142883+-23.98\nAnswer: -142906.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -166*x - 2321. Let k be a(-14). Solve -p - j + 25 = 28, 0 = k*p + 4*j + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*d - 747, 4*m - 2*d - 343 = -1841. Let o be (75\/m)\/((-3)\/5). Solve -2\/3*b + 0 + 2\/3*b**3 + 1\/3*b**4 - o*b**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3473, 6918, 10365, 13814, 17265, 20718, 24173?\nAnswer: 27630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 37?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:44 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9834278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/7)\/c*c)*c*c*(c\/c**(-2))\/c*(c*c*c**(-1))\/(c*c\/(c\/(c*c**7*c*c))))\/(c*c\/(c\/(c\/c**(-6\/7)))*c**3\/c)**(-1\/19) assuming c is positive.\nAnswer: c**(-593\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**7)\/j*j))\/(j*j**(-16)) assuming j is positive.\nAnswer: j**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 + z**2)*(z**2 - z**2 - z**2) - 11*z**3 + 24*z**4 + 11*z**3.\nAnswer: 23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 155435?\nAnswer: 23\/31087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14.71 (b) 4\/11 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68249 and 834.\nAnswer: 409494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 4. Let w = 2 - 5. Let b be w\/((-6)\/8) - 2. Give y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (836\/(-304))\/(1 - 5\/4). Solve 4*c = 6*c + x - v, -5*c = 4*x - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4 - 16 + 17*g - 33 + 56. Let d(i) = -i + 1. Suppose 15 = -3*s + 4*k, -5*s = -s + k + 1. Let n(z) = s*j(z) + 6*d(z). Differentiate n(t) wrt t.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 1:26 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4.954?\nAnswer: 4.954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (19 - 4 - (-20 + 11 + 16))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -44, 2\/7, 1\/3, -3\/23, -6\/11, -0.5?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/10, -1\/3, -2.98 in decreasing order.\nAnswer: 2\/7, 1\/10, -1\/3, -2.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120649, 241295, 361941?\nAnswer: 482587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 25, 5*l + 1 + 4 = 3*n. Let v = 0 + n. Calculate the least common multiple of 18 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 223896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93563815 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*u - 22 = 0, -22*x + 2*u + 127 = 381 - 93 - 19 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, b: 3, f: 2, i: 1, p: 1, h: 2}. Give prob of picking 2 t and 1 h.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:29 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -223?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7658 = 22*m - 8054 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - u + 811 - 6859 = 0, 5*n - 7539 = -4*u. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1014\/(-8658)*-37)\/(52\/1608)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-95)\/225 - (-2)\/10. Let u(c) = c + 5. Let n be u(-6). Let m = 2.9 - -1.1. Put m, z, n in decreasing order.\nAnswer: m, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 + 6*r - 4. Suppose 11*d - 3953 = -3920. Let p(v) = v**3 + 2*v - 1. What is d*n(h) - 10*p(h)?\nAnswer: 2*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333959, 333950, 333929, 333890, 333827, 333734, 333605, 333434?\nAnswer: 333215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 10. Suppose -p**2 + p**2 - 3*p**2 - 3*p + p**3 + 3 + i*p = 0. What is p?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(126\/(-8))*63\/84?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 29 - 18*y - 23*y**2 + 0 - y**3 + 45*y**2. Let g be p(21). Suppose 2*t + g = h + t, h = -t + 102. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29897?\nAnswer: 7, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l - 1. Let s be y(1). Let g = s + 7. Let v = 20 + g. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**2 - 49829 + 49829 - 30*o**2.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 107 + 2*o**2 - 45 - o**3 - o**4 + 13*o as k + c*o**4 + f*o**2 + a*o**3 + z*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**4)\/f*f*f*(((f\/f**3)\/f)\/f)\/f*(f\/(f**(-1)*f))**26)\/((f**(-2\/3))**(11\/6)*f\/(f*f**0)*f\/(f**1*f)) assuming f is positive.\nAnswer: f**(191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h + 35. Let m(q) = -q. Calculate d(m(f)).\nAnswer: 5*f + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1649796 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -3*u, 3*x + 2*u - 38 = 0. Suppose -5*r = -5*w - 15, -4*w - r - r + 6 = 0. Is (1 - w) + 0 + x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + t + 149. Is y(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4 = 126*z - 125*z, -2 = 2*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = v - 0. Solve -2*k + v = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.8 and -0.4?\nAnswer: 10.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -284 - -280. What is the biggest value in c, -0.1, -4\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/18 + 13*k**3\/9 + 22*k**2\/3 - 1517*k. Find j such that i(j) = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-1\/4)\/a))**(-32)\/((a\/(a*a\/(a\/a**(-5\/3))*a))\/(a\/(a\/a**(-2\/3))))*(a**3\/a*a**(-2\/11))**25 assuming a is positive.\nAnswer: a**(-1976\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.106.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lurl when four letters picked without replacement from zrzzullzlzluzzzzrrl.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8650 is divided by 173.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 4, q: 1, z: 4, j: 1, s: 1, e: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fftffgffffvfgff. What is prob of picking 1 f, 1 g, and 1 t?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4042 - 967. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/3 - (-4)\/(-12). Let o = 699 + -693. Let g = o + a. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20679906 by 265127.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 + -121. Let s be l + (-2312)\/(-28) - (-20)\/(-35). Let t = s + -76. Solve 2*m + 8 = -2*g, -2*g + 12 = -t*g - 3*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 955\/7 + -1935\/14. Let c = 2\/7 + j. Which is bigger: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and -0.0147.\nAnswer: 0.0353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-75))\/((-4)\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 0)*(-2 - 1 + 5)*(2 + 2 - 2)*((i - 4*i + i)*(4 + 3 - 5) + 0*i - 2*i + 0*i).\nAnswer: -168*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 + 588*r**4 + 21716*r**3 + 281844*r**2 + 1379592*r + 1796256 = 0.\nAnswer: -99, -28, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 141853 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/10*15\/165)\/(6\/(-6)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9879*q**3*r**3 + 54*q**3*r - 2*q**2*r**3 + 6*q**2*r**2 + 4*q**2*r - q*r**3 - 2718*r**3 wrt q.\nAnswer: 59274*r**3 + 324*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -9, 5, 1941 in decreasing order.\nAnswer: 1941, 49, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000771502 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 55639996 = 4*v + 5*k, -5*v - 5*k = -69549990. Round v to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2351840 by 58796.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 183841 and -35685?\nAnswer: 219526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**3 - 4*t**3 - t**3.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70455, 283110, 637535, 1133730?\n\"Answer: 70885*o**2 - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkii when four letters picked without replacement from kkkikkikiikkkikkkk.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 480816035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 17 = 3*c, -4*l + 890*c - 893*c = 43 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18564 - -26363. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 55. Let q(c) = c - 1. Let j(h) = 43*h - 9. Let w(g) = z*q(g) + 2*j(g). Let a(f) = f. Determine a(w(d)).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(2299))*2)**2.\nAnswer: 2816*sqrt(19) + 147392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 9*r**2 + 5*r + 9. Is 21 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-1043.\nAnswer: -52.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = p - 111, 114 = p + 45*q - 43*q. What is the smallest common multiple of p and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 12:23 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n - x = -222, -186 = -4*n - 5*x. Is n at least as big as 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j - 26. Let s(y) = -6*y - 9. Let u(o) = 2*i(o) - 7*s(o). Calculate the remainder when u(7) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1184, 8978, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -243 + 114 + 127 - 15*l + 14*l**3 + l**4 - 2*l**2 in the form w*l**2 + c*l**4 + k + s*l + i*l**3 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 48*p**3 - 5*p**2 + 6*p - 1. Let h be a(3). Let z = h + 355. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 292 = 4*r, r + 2*r - 4*o = -214. Let w be -3 + ((-4)\/(-26) - r\/26). Solve l + 1 = -w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1636 = -5*y - 2*o + 447, -1265 = -3*y - 5*o. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718258 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 0*p**3 + 58 - 54 - 2*p**3 - 3*p**2 + 2*p. What is i(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 212, 210, 204, 194?\n\"Answer: -2*v**2 + 4*v + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 1.5772\nAnswer: 11.0404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793142 is divided by 96?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + 225. Suppose 0 = 4*x - 0*z + z - p, 2*z - 275 = -3*x. Let j = -30 + x. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 100.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 0)*(-4 + 1 + 1)*((-2 + 4 - 1)*(-4 + 4 + l) - 35*l + 82*l - 36*l + (-2 + 4 - 3)*(-2*l - 3*l + 4*l)) as v + b*l and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12416*n - 7137. Is s(4) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 67. What is the second smallest value in 0.01, -2, -1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/4 + 3*o**2 + 6*o - 2. Let t(s) = -s**3 - 5*s - 5. Let l = 17 - 12. Give l*r(v) + 6*t(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2535*l - 3176*l = 19871 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117 - 102) + -1 + -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 6*u - 16. Suppose -15*c = -2*c - 15*c + 14. Calculate t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -18, -95, -274, -597?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x. Let w(v) = -76*v - 95. Let j(o) = -13*o - 15. Let c(a) = -19*j(a) + 3*w(a). What is m(c(f))?\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 370 - 289. What is the smallest common multiple of a and 1?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*b = 25, 0 = -5*p + 23*b - 19*b + 30. Suppose 2*a - 5*g + 5 = 0, a + p*g + 2*g = 4. Solve a*j = 5*f + 5*j + 20, 0 = -2*f + 4*j + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**4*z**2 - 255*q**4*z + 3*q**3*z + 3*q**2 + 33*z**2 wrt q?\nAnswer: -48*q*z**2 - 6120*q*z + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Suppose -63*z - 21 = -462. Solve z*i - b*i - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -9, 2\/9, -1.7, -7\/4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 3. Suppose 405 = 3*x - 93. Let b(t) = x*t + 171*t - 338*t. What is a(n) - 3*b(n)?\nAnswer: -3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 813 + -332. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 3*f - 5. Let o(h) = h**2 - 4*h + 4. Let g(s) = 2*n(s) + 3*o(s). Let w be g(6). Solve -4 + w = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 3*u)*((-1 - 4 + 4)*(-2 + 2 - 2*u) + u + 0 + 0) - u**2 - 10*u**2 + 0*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l**2 + 28*l**2 - 480*l + 477*l)*(-5*l + l + 2*l).\nAnswer: -36*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4356 and 3872.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffihfsxsfsxxsxx. What is prob of picking 1 h and 2 f?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-19)\/19*((-24)\/(-6))\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -1\/4*i**5 + 5\/4*i - i**3 + 1\/2*i**2 + 1\/2 - i**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 16000.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(1100) + sqrt(1100) + sqrt(1100)*-1*6 + sqrt(1100) + sqrt(1100) + -4)*-2)**2 + -5.\nAnswer: 640*sqrt(11) + 17657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-24))\/(2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 minutes after 10:33 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**2)*l)**(-39)\/(((l\/((l*l**(-3\/4))\/l))\/l*l)\/l*l*l*l*l*l**7*l) assuming l is positive.\nAnswer: l**(-519\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2)*(62*x**2 + 30 - 6*x**2 - 28 + (5*x - 4*x - 2*x)*(x - 4*x + 4*x)).\nAnswer: -220*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 892*t - 893. Let n be o(-1). Let h = 11\/137 - 19\/8768. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -546.08674 + 0.10674. Round s to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17112665.\nAnswer: 5, 293, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*y - 24 - 6, -a - 5*y = -24. What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3778.524009 + -3776.924. Let p = -1.6 + v. What is p rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*x**2 + 7*x**2 - 18*x**2 - 58*x**2 + x + 0*x.\nAnswer: 94*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by 1059881?\nAnswer: -101\/1059881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (216\/(-18) - -12) + (-1)\/(-4). Put d, -2, 1, 90, 3 in descending order.\nAnswer: 90, 3, 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s + 85. What is m(-8)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625040795 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31195879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from yoyoydyyqyyydyyyyqqy.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004562323006 rounded to 7 decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2180883 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -5857\nAnswer: -29\/5857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*q + 2 = -q, -3*q + 10 = 5*z. Let n(w) = z*w + 0 - 3 + 1 + 6*w. Is n(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 13777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/20))\/(j\/j**11) assuming j is positive.\nAnswer: j**(221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 5*a + 120 = -20*h, 0 = -4*a + 4. Let d be (3 + 12\/(-4))\/1. Suppose -j - 3*u + 40 = d, 72 + 8 = 4*j - 4*u. Are h and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -1, -4460, -6, -16, 3 in descending order.\nAnswer: 4, 3, -1, -4, -6, -16, -4460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 6*j - 95. Calculate the remainder when 332 is divided by u(10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6046479 = 3*t, 4*y - 3*t = 18361723 + 5824238. Suppose 0 = 3*x - 646488 + y. Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1601080.9999944 - 1601086. Let a = -10 + 15. Let w = b + a. Round w to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*d - 100, x = d - 23 - 0. Let m(i) = -d + 4*i - 2*i - 11 + 33. Let v(w) = -5*w - 11. Let r be 3*(1 + 2 + -2). Calculate r*v(h) + 8*m(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -56. Suppose -i*t + 28 = -132. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*l**2 - 349862 - l + 699733 - 349869 + 0 + 2*l**2 + 0 + (-l**2 - 4*l**2 + 6*l**2)*(2 + 2 - 3) + 3*l**2 + 3*l**2 - 5*l**2.\nAnswer: 44*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 967\/11 - 88. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**4*y*y**21 assuming y is positive.\nAnswer: y**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 451463 + -450529.3912. Let q = -935 + b. Let n = q - -1.4. What is n rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 14*q**2 + 49*q - 34. Let v be w(-17). Solve 21*h - 18*h = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(162\/(-216)). Let d be 1\/(-1 + h) - (-1 + 2). Solve -4*t + t - 8 = -b, d = 3*t - 2*b + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + ((-1 + (sqrt(153) - (-3 + sqrt(153)))*2)**2 - ((-4*sqrt(153))**2*-3 + -1)).\nAnswer: 7372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 4*p - 28. Give n(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 12 = 6*d. What is the second derivative of -3*l - 8*l**4 - d*l + 3*l**4 - 4*l**4 wrt l?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 29153?\nAnswer: -29158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-43 + 46 + 6 + (0 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + z**2 - 4*z**2)*(-2 - 2*z**3 + 2) + 2*z**5 - 4*z**5 + 3*z**5 + 0*z**5 + 2*z**5 + 0*z**5 + (-148*z - 43*z**3 + 148*z)*(z**2 - 2*z**2 - 2*z**2).\nAnswer: 130*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2902042*d**2 - 2*d + 1121096 wrt d.\nAnswer: -5804084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 155. Let v(a) = a + 303. Calculate -11*f(h) + 6*v(h).\nAnswer: -5*h + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/9 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 3. Let a be (2\/3)\/((-2)\/(-15)). Let l be d(a). What is the highest common divisor of l and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 4*b**2 + 2*b**2 + (3*b - 3*b + 4*b)*(-2*b - 3*b + 0*b) + 72 - 72 + 13*b**2 in the form o + v*b + t*b**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 257924489171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-102))\/(3\/(-4))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174771 - 1216549814.\nAnswer: -1216724585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 + 68. Let x = 62 + u. Calculate the smallest common multiple of 16 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 2*j**2 + j + 3. Let g be k(-3). Let b = g + 11. Suppose y - 4 = -b*q + 9, 5*y = 15. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12099*s - 2915872. What is p(241)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -142 (b) 8 (c) 547\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.207?\nAnswer: 0.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.045 - 0.045. Let n = 20 - g. Let t = -0.03 + 0.43. What is the smallest value in n, t, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40429, 39838, 39251, 38668, 38089, 37514?\n\"Answer: 2*f**2 - 597*f + 41024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-20 - (43 + -17))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -424843*o + 280033 with respect to o.\nAnswer: -424843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 253533 + -5?\nAnswer: 253525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-6 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 309989, 620548, 931107, 1241666?\n\"Answer: 310559*r - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/2 + 8*y. Let c(h) = 62 - 54*h - 62 + 35*h. Calculate c(i(r)).\nAnswer: -57*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 - 169. Suppose o + 0 + 8 = -2*w, -k*o = w - 3. Suppose 17 = -4*l + 3*a, -4*a - 2 - 2 = 0. Put o, l, 4 in increasing order.\nAnswer: l, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*s - 4*t = -12, -3*t = -4*s - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 7018 - 86 = 0. Let s = -418 + b. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381848636 a multiple of 14950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.00552 - 0.08448. Which is the smallest value? (a) g (b) 2\/21 (c) -0.3 (d) -1 (e) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-120))\/(109\/4796).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*f + 8*f + 21*f)*(5 + 1 + 1) + (-2 - 4 + 1)*(-9 + 9 - 3*f).\nAnswer: -118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -422007 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 328155416 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 7*v - 3. Let m(k) = k + 1. Let f(c) = -5*m(c) + t(c). Let y be f(-11). Let -4*z**2 - 6*z + 0*z**2 + 6*z**2 + y*z**3 + z**2 = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 76 and -0.04763768827?\nAnswer: 76.04763768827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 + 5. Let q = 36 + -39. Let s(u) be the second derivative of -7*u**5\/20 + 9*u**2\/2 + 21*u. Give q*s(a) + 5*d(a).\nAnswer: a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43249619363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7614144 divided by 4.\nAnswer: -1903536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-212)\/(-10) - 32\/(-40). Let s = q - -12. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 5. Give o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9452 and 1100880.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 + 7.61. Let u = 4 - h. Let y = 17 - 17.1. What is the third smallest value in u, y, -0.7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/4 + 339*a\/4 + 351 = 0 for a.\nAnswer: -4, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43 + 330\/860*-112\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 - 1343600*w**3 - 112823435408*w**2 + 902673475712*w = 0. Calculate w.\nAnswer: -167954, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -16*q**2 + 210*q + 903. What is w(-4)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905936 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:32 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 3*l**2 - 9*l**2 + l**2 + (-4 + 4 + 2)*(5*l**2 + 2*l**3 - 5*l**2) + 2*l**3 - 5*l**3 + 0*l**3 - 5*l**3 + 2*l**3 + 5*l**3.\nAnswer: 5*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from ogogossoosooosgs.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76.042 + -76. Let r = 0.242 - y. Let m = -2 - 1. What is the biggest value in m, -6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 81. Calculate the least common multiple of r and 7\/(21\/72) + 0.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1302 = -933. Let j = h - 247. Suppose -s - j = -4*v, 4*v + 3*s = -s + 220. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 8*m**2 - 7*m - 2. Let z be p(9). Suppose 0 = -4*v + 3*v + z. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/6 and 137\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 2:59 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 6*o**4 + 1\/2*o**2 + 2\/3*o**3 - 77 - 11*o. Find the second derivative of t(a) wrt a.\nAnswer: 144*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6695 divided by -1?\nAnswer: -6695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*h - 15 = -3*r, 0 = -2*r - 5*h + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/619 and -6536 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p**2 - 5*p**2 - 11*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 20001696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3174360?\nAnswer: 2, 3, 5, 7, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112200020122010 - -210?\nAnswer: 112200020122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -43. Let u be (y\/(-6))\/(0 - -1). Solve -u*x = 2*a - 14, 4*x - 4*a - 1 - 7 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124244 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 10*p - 18. Let q be k(-2). Let y be (q + -9)\/((1 - -1)\/(-2)). Which is the nearest to -0.2? (a) 0.3 (b) 24 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1326)\/170 - (-8 + 0))\/(-1 - 0)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncuu. Give prob of sequence un.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-63)\/(-14) + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -73, -111, -149, -187?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7\/c*((c*c**13)\/c)\/c assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*b + 5653 + 34812 = -11975. Is 6 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -232, -1, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and -0.1036063 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 6. Let b be s(-4). Let o(p) = p**3 - 7*p**2 + 7*p - 3. Let g be o(b). Solve -2 = -g*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 + 125. Suppose 14*o = 50 + r. Solve -5*b = -3*b + o, 5*a = 5*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 11 = 46. Let d(p) = -6*p**2 - p - 4*p - 2*p**3 - p**3 + 2*p**3 + r. Suppose 14*g + 55 + 15 = 0. What is d(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530401 - 530401 - 19977*p - 7769*p.\nAnswer: -27746*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 greater than or equal to -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 48*g**2 - 125*g - 1005. What is h(27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-35)*(-920)\/(-276))\/((-4)\/(-182)). Let q(x) = x - 42. What is q(z)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by 737\nAnswer: 193\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19568 - 19444. What is the remainder when 5083 is divided by g?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1196, 2377, 3536, 4661, 5740, 6761, 7712?\nAnswer: 8581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 949 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 59 - -94 - (-34 + 24 - (0 + -3))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11810 and -0.08946.\nAnswer: -1056.5226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 - 61926*w = 0. Calculate w.\nAnswer: -30963, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*x - 2*x - 2588, x + 5*h - 624 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 30*c**2 + 842*c**2 + 289*c**2 - 60*c**2 to the form u + b*c + w*c**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.1 - -61. Which is the fourth smallest value? (a) i (b) -4 (c) 3 (d) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7344 and 41856.\nAnswer: 6403968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -2*j**5\/105 + 29*j**4\/84 - 10*j**3\/7 + 3*j**2 - 11*j. Let h(y) = 0. What is y?\nAnswer: 5\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555002.\nAnswer: 2, 7, 29, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -121, -194, -271?\n\"Answer: -2*g**2 - 63*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 3, o: 11}. Give prob of sequence zow.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2103 (b) 0.1 (c) -29 (d) -1\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30799 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2431 + -0.1731. Which is the nearest to k? (a) 0.05 (b) -2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*d**2 - 16251*d - 8364453.\nAnswer: 200*d - 16251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttztttz.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**4 + 12*c**3 - 828*c**2 + 2612*c + 8568 = 0.\nAnswer: -17, -2, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 4, e: 1, c: 2, t: 1}. What is prob of sequence apt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 46*a - 5.\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21499, -21343, -21093, -20755, -20335, -19839?\nAnswer: -19273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bb (base 14) in base 13?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772 + w**2 - 772.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3143 - -1?\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0 + b - 4 - 3. Calculate l(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-40)*(16\/(-14))\/(8\/28).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101950.\nAnswer: 2, 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1084, -2172, -3258, -4342, -5424?\n\"Answer: y**2 - 1091*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 537 * 70\nAnswer: 37590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*h + 8 = 0, -12*x + h + 8 = -10*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + ((-2*sqrt(35))\/sqrt(7))**2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*z - 3 - 5*z**2 + 4*z**4 - 81*z + 3*z**2 wrt z?\nAnswer: 48*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -175. What is the highest common divisor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 5*p. Let v be 12 - 17 - (p - 3). Let q = 8 - 9. Sort q, -4, v.\nAnswer: -4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44100750 by 6945.\nAnswer: -6350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -20*g**2 + 30*g + 48. Let b(l) = 17*l**2 - 29*l - 51. Let j(v) = -6*a(v) - 7*b(v). Give j(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(343)*-1 + sqrt(343)*1 + 3)*-5 - 4*((sqrt(343) - ((sqrt(343)*-1 - sqrt(343)) + 1)) + -4*(sqrt(343) + -1)**2)).\nAnswer: -448*sqrt(7) + 5493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/4 - 419*c\/4 + 20115\/2 = 0.\nAnswer: 149, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 6*q**2 - 4 - 11*q**2 - 4. Let x(i) = 3. Give 3*n(f) + 8*x(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1394583 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezz. Give prob of picking 1 e and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 36*j - 181. Let u be v(5). Let w be ((-6)\/51)\/u + 5076\/204. Solve 10 + w = 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -14 (b) -4 (c) 218 (d) -176\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*j = 626, o - 4*j - 865 = -263. List the prime factors of o.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51b1086 - -4?\nAnswer: -51b1082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/24 and 22\/((-4)\/15*-36).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:55 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.128+2.1\nAnswer: 1.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 60. Suppose -d - 99 = -l*y, -y - d + 161 = 2*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -5*z + 7, 0 = 5*y + 5*z - 90. Suppose -4*j + c + 17 - 11 = 0, 3*j - y = 5*c. Solve -5*b + 0*d + 11 = 3*d, -2*b - 3*d - j = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 109122 = 32*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1917 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -4)*(-9 + 11). Let b(q) = 2*q**3 - 22*q**2 - 25*q + 17. Determine b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 154.\nAnswer: -5\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p\/(p**22\/p))*p*p**22 assuming p is positive.\nAnswer: p**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) -5 (c) 12 (d) 0.5 (e) 0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11 - r**2 - 23 - 6*r + 3 - 3*r - 8*r. Suppose -4*p = u + 35, u - 2*u = -5*p - 10. Let w be n(u). What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -42, -44, -46?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 28*b**3\/3 + 333*b**2\/2 + 1183*b. What is c(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.856 * 14.7.\nAnswer: -71.3832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(55*(-18)\/(-135)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 187*m. Let p(u) = 17*u. Give 34*p(i) - 3*v(i).\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 756, 2921, 6430, 11205, 17168?\n\"Answer: -13*u**3 + 750*u**2 + 6*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -207 or 6.11?\nAnswer: 6.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 182835.\nAnswer: 365670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiib. What is prob of picking 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b + 30. Give n(8).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -26, -23, -18, -11, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 41 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.906595 millennia in decades?\nAnswer: 690.6595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**8\/6720 - w**7\/3360 - 2*w**3 - 6. Let v(d) be the third derivative of o(d). Factor v(g).\nAnswer: -g**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -11 (c) 7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1 + 9 = 0. Let r be m*(14\/(-4) - -1). What are the prime factors of ((-35)\/(-2))\/r*-4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 40*p - 6. Let x be c(-5). Let v = -1445\/7 - x. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6233 + 6232.295. Is v != 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 * -631\nAnswer: 94650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.48 and -24078304834.\nAnswer: -24078304832.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78718, 158513, 240466, 325657, 415166, 510073?\n\"Answer: 180*c**3 - c**2 + 78538*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 2. Suppose d*b = -2*g + 35, -4*b + g + g = -28. Calculate the remainder when 15 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -99, -166, -233?\n\"Answer: -67*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 21 = v, 0 = 6*a - 2*a - 2*v - 18. Let w = 3159 + -3155. Solve -a*j + w*u = 1 - 6, -1 = -j + 5*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 490*r**2 - 3*r - 1. Let h be c(3). Round h to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {b: 1, x: 4, t: 1, r: 1, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/((-69165)\/116))\/((-2)\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u. Let w be (-8)\/(-60) + (-2092)\/(-60). Let c(m) = -w + 30 - 17 - 3*m. Give r(c(y)).\nAnswer: 6*y + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1 + 0*t**3 - 2*t**3 - 3*t + t**3 + 2*t. Suppose 3*w + 2*r = -1, -2*w + w - 7 = 2*r. Suppose -w*u = 3*m + 12 - 3, -14 = 3*m + 4*u. What is j(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p = -33*p + 4*y + 119, -y + 49 = p. Solve -10*g + g - p = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 - 59 = -2*u. Let f = 19 - 35. Let g be f\/33 - (-10)\/u. Which is the second biggest value? (a) -2\/5 (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1539)\/1026)\/((-9)\/(-60))*-1*16\/5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36810890.\nAnswer: 2, 5, 193, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00711646 to 4 dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17475 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(0 + (-3)\/(-18)). Let u = g + 21. Solve -6 = 2*h - b, 5*h - u*b + 7 = -6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 376089 - 376212.0031. Let a = z + 123. What is a rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 - 2 - (152 + -75 + -118).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 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: Convert 8979.89 tonnes to grams.\nAnswer: 8979890000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -718\/3 + 240. Let a(w) be the first derivative of -c*w**3 + 6 + 0*w**2 + 0*w. Solve a(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7373420 divided by -6\nAnswer: 3686710\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (66 - 8734\/132)\/((-1)\/(-81))\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10770\/3953 or 3?\nAnswer: 10770\/3953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 17*a**2 + 12*a + 10. Give b(16).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 531 + -485. Calculate the highest common divisor of 115 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-128)*66\/(-5))\/(((-198)\/(-4))\/11)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*q - 29. Suppose -4*w = q - 30. Solve 8 = 3*r + 2*v, -5*r + w*v - 24 + 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b**5\/5 + 5043*b**4\/5 - 7608*b**3\/5 - 25224*b**2\/5 + 30336*b\/5 + 20208\/5 = 0.\nAnswer: -842, -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {l: 1, p: 3, i: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2628, 3899, 5170, 6441, 7712, 8983?\nAnswer: 10254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2060, -2059, -2058, -2057, -2056?\n\"Answer: h - 2061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1113*l**4*u*w + l**2*w - 2*l*u*w - u*w + u - 1236*w wrt l?\nAnswer: -4452*l**3*u*w + 2*l*w - 2*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4)*4 + 4. Suppose 14 = -3*x + 3*k + 2*k, 5*x + k - 14 = 0. Suppose 4 = x*g, b - 11 = -g - h. Solve 6 + 6 = -b*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - 4\/(-1))\/1. Let o(p) = 1 - 8 + 0*p - 1 - 2*p. Calculate the remainder when 14 is divided by o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 14*m - 11*m)*(-9*m - 16 + 16)*(-3 + 5 + 2).\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2735\/12469?\nAnswer: -2735\/12469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -918064 divided by -114758\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 643, 642?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i*i\/i**9))*i*i*i*i**(10\/13) assuming i is positive.\nAnswer: i**(-42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 1 = 534*s - 534*s + 11, -s + 5*x = 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.02 + 8. Let n = s + -0.48. Let w = -3 + 3.5. Sort w, n, -5 in decreasing order.\nAnswer: w, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (519\/6)\/(-1). Let d = -86 + g. What is the nearest to 2\/7 in 5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/9 - 335777*m**2\/9 + 9395460181*m\/3 + 3131857369.\nAnswer: (m - 167889)**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*x = -63, 2*w - 5*w = 2*x - 114. Let v = w - 13. What is the remainder when 60\/7*(-42)\/(-4) is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1067846 and 11926.\nAnswer: 95038294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105611 not equal to 105619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9895046 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 465 + 567. List the prime factors of (c\/4)\/(54\/144).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times 0.0323895?\nAnswer: 0.010688535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 0) + (22 - 4 - (-2 - -26)) + 6\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-18\/7)\/j)*j*j*j*j**(1\/23) assuming j is positive.\nAnswer: j**(1226\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2272 = 2272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 131. Let o = 49 - s. Let h(w) = 1 - 6*w**3 - 4 - w**2 + o*w**3 + 4*w**3. Calculate h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2 + 2*z - 12. Calculate the least common multiple of j(2) and 2510.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139241 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4 + 3 + 0*n**2 + n**3 + 6*n**2. Give o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.7502704 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 879889?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2 - 3*x + 4. Let r be o(-3). Let n = r + 37. Solve -3*z - a + 11 = 0, 8*a = -5*z + 3*a + n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 13*g + 16. Suppose w - 57 = 4*y, -45 = 3*y - 0*w - 3*w. Let i be r(y). Suppose i*x + 156 = 6*x. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 513502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -9461311.\nAnswer: -9461310.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -42, -55, -64?\n\"Answer: 2*g**2 - 23*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5 - 135. Suppose -3*x + 0*j + 55 = j, -2*x + 31 = -5*j. What is the remainder when d is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423 + 214 + 209 + 155*f**2 + 108*f**2.\nAnswer: 263*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21165, 21124, 21061, 20982, 20893, 20800?\nAnswer: 20709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -101*s**3 + 2*s**2 + 10*s - 2. Let a be b(8). Let o = -33106 - a. Round o to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u - 4*u**2 + 4*u)*(u - 7 + 0*u + 6) to the form k*u**3 + o + q*u + x*u**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + 68. Calculate the highest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16234 not equal to -16240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 less than 273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4588 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7373728, -29494889, -66363490, -117979531, -184343012, -265453933, -361312294?\nAnswer: -471918095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -t + 17049*p - 17048*p, 7*p = -t + 38 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 0*x**6 + 0*x**4 + 0*x**2 - 2\/3*x**3 - 2\/21*x**7 + 7*x - 2 + 2\/5*x**5. Let z(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(5*p + 1 - 1) + (-2*p - 2*p + 3*p)*(3 - 1 + 1) - 3*p + 20*p - 65*p.\nAnswer: -41*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3260 divided by -8\nAnswer: -815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 100548 and 0.04?\nAnswer: 4021.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61, -123, -185, -247, -309?\n\"Answer: -62*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/663 - (-35644)\/1428.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.639 to 1 decimal place.\nAnswer: -90.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 1474*y - 1469*y + 1, -3*y = 3*k + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8360.0921 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16719 divided by -4\nAnswer: -16719\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290.5 + -291. Which is the nearest to 0.5? (a) -0.4 (b) 4\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*m + 303 = -2271 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*h + 46*h + 468 = 0. Let i(c) = -2*c + c + 0*c. Calculate i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - 18.8. Let g = -17.6 - k. Suppose -3 = 2*u - 1. What is the closest to u in -0.1, 1\/2, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202731*a - 156072.\nAnswer: -202731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (1 - 2) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:52 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 = 4*i - 5*r - 118, -i = 4*r + 110. Let g be i\/(-14) - 2\/7. Let l be -81*(4 + -5) - 0. What is the greatest common factor of g and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2\/2 + 120*s - 245\/2 = 0. What is s?\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12933*r**3*w - 9*r**3 + 2*r**2*w - r**2 - 222*r*w + r - 7*w - 14 wrt r.\nAnswer: 77598*r*w - 54*r + 4*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 26*x**3 + 4*x**2 + 4*x - 4. Let f(l) = -598*l**3 - 91*l**2 - 91*l + 91. Determine -4*f(o) - 91*v(o).\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x - 5. Give w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236962410?\nAnswer: 2, 3, 5, 7898747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**3 - q**2. Let d be n(-1). Suppose x = d*x + 12. What is the remainder when 64 is divided by -1 + 0 + (31 - x)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1862261 = 32*s - 1862293 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56661, -113315, -169969, -226623?\nAnswer: -283277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -67. Suppose -52*l = -g*l + 12. Let j(t) = 4*t**2 + 2*t + 1. Calculate the remainder when j(2) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -9. Let p be 1*(-7)\/(-21)*i. What is the greatest common divisor of 220 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.02 (c) 698\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 18 + 7 = 2*k, k - 2*n = -7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35017? (a) -0.4 (b) 1 (c) -6 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 - 0.3. Let s = -2 - -1. Let j be 22 + -21 + 27\/(-21). Which is the nearest to n? (a) s (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 6*x**2 + x + 6. Let y be k(-6). Solve 5*b + 5*g - 45 + y = 0, 16 = 4*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -3*n + l, 5*n + 2*l - 279 = -199 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.3 - -4. Suppose -7*d - 17 = -8*d. Suppose -22*x - 5 = d. What is the nearest to -2 in x, l, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1102 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -46606, 4 in descending order.\nAnswer: 4, -2\/13, -46606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {v: 5, m: 1, u: 2, p: 1, n: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 35475*o. Let t(j) = -j**2. Give u(t(h)).\nAnswer: -35475*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 19*t**2 - 38*t + 37. Give h(17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g**2 - 5*g - 6. Let r(q) = 9*q**2 - 2*q - 2. Calculate 3*i(f) - 8*r(f).\nAnswer: 9*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11*u = 12*u - 1480, 4 = u. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*m + 4. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 3*v**2 - 4*v + 3. Let b be d(2). Let k be -3*((-12)\/9 - b). Suppose 0 = -y + k + 5. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2045318ml in litres?\nAnswer: 0.0002045318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 288 + 334. Suppose -22 = -4*f + a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0 - q**2 + q**3 - 1\/120*q**5 + 5\/12*q**4 + 0*q. Let j(r) be the first derivative of h(r). Calculate j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -606.7 - -606. What is the second biggest value in -14, 4\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*(j*j*j*j**(2\/11))\/j)**(-1\/19))**(-1) assuming j is positive.\nAnswer: j**(13\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 40, -1, -4 in descending order.\nAnswer: 40, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 161077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341365 and 213864?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(152) + sqrt(152)*-1 + sqrt(152))*4 + (3*sqrt(152)*1 + sqrt(152) - sqrt(152))))\/(3*-4*sqrt(72)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.684 + 1.316. Let x be -1 - 2\/(-4)*6. What is the fourth biggest value in -11, -0.1, d, x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152447.\nAnswer: 157, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.668 and 0.2.\nAnswer: 0.1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h + 3. Let b(y) = y**3 + 5*y**2 + 5*y + 6. Let t be b(-4). Suppose 0*j - t*j = 8. List the prime factors of g(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1034356711 to the nearest integer?\nAnswer: 32161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -52. Let p = c + 72. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.08225447.\nAnswer: -0.41127235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384792799 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -900, -3555, -7954, -14097, -21984, -31615, -42990?\n\"Answer: -872*i**2 - 39*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-5)\/(-140))*(-160)\/280.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 13*b - 12. Let w be s(-11). Suppose -2*j = -j - w. Suppose k + 0 = -1, 2*v - 15 = -3*k. Solve v*h - 4*h + j = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2826364077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2232.166 milligrams to tonnes.\nAnswer: 0.000002232166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmu when three letters picked without replacement from {m: 9, u: 1, t: 3, r: 2, o: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/33)*h)\/h**(-9\/8)*(h**(-9))**2 assuming h is positive.\nAnswer: h**(-3911\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 676*k + 1372. List the prime factors of z(18).\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 9*f - 4. Let z be u(-6). What is the common denominator of (-7 + 3)\/(6\/(-14)) and z\/483 - 1\/3?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -59, -91, -117, -137, -151, -159?\n\"Answer: 3*b**2 - 47*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrrbbbbbrbb. What is prob of picking 2 r and 2 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 99. Suppose 0*o = -2*o - 72. Let j = f + o. Calculate the remainder when j is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 13256 = 6244. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 604448*c**2 + 38692864*c.\nAnswer: -2*c*(c - 302288)*(c + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -330\/15329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - z**2 - 37 + 13.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23524544918546 plus 2?\nAnswer: 23524544918548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 83 = 5*v, 10*o - 5*o = v + 5. Suppose -3*b + v = 3. Put 17, -4, b, 5 in ascending order.\nAnswer: -4, b, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 77 = 3*c - 74, 2*c = -x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 + 6913*k**3 - 6*k**2 - 4257912*k?\nAnswer: 24*k**2 + 41478*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:09 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/8 + 19*l**3\/4 + 397*l**2\/8 + 171*l\/2 + 81\/2 = 0. Calculate l.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 297*o + 97. List the prime factors of u(1).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 2 w when four letters picked without replacement from {k: 2, w: 3, x: 1, p: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 9*x - 1. Let u(w) = -3*w**2 + 14*w - 1. Let c(j) = 8*b(j) - 5*u(j). Let d be (-3 - (-20)\/8) + (-9)\/(-2). Give c(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4 - 2204416*h**3 + 35271110*h**2 - 63928964*h + 30862272 = 0?\nAnswer: -1102224, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 187*t - 165. Give n(85).\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -3*j**5\/10 - j**4\/6 + j**3\/2 - j**2\/2 + 2*j + 977. Let o(a) = -5*a**3 - 2*a**2 + 3*a - 1. What is -6*o(k) + 7*v(k)?\nAnswer: -12*k**3 - 2*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-14 + 2)) + -4 + -2 + -25?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 26. Let z be w + 21\/(-9)*3. Let v be z - (-16)\/6*3. Solve 21 = 4*f + v*y, -7 = 4*f - 7*f + 5*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + (8 - 80) + 123?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**2*j**5 - 23*c**2*j - 152*c*j**4 + c*j + 5*c wrt j?\nAnswer: 180*c**2*j**3 - 1824*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y, 17*y - 20*y = -4*s + 79432. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from {l: 2, x: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -8*d - 49. Find the common denominator of -89\/160 and (-1)\/(48\/262) + d\/21.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0108638 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 224.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r - 71 - 97\/4*r**4 + 0*r**2 - 9*r**3. Find the third derivative of y(g) wrt g.\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1053)\/1404*(-2)\/(-5)*(-10)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 + 5*v + 2. Let c(l) be the third derivative of -19*l**2 - 1\/2*l**3 + 13\/60*l**5 - 7\/24*l**4 + 0 + 0*l. Give -5*c(y) - 7*m(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5, -6*t - 3*u + 24 = -5*t. Suppose -103 = -v + 2. Calculate the highest common factor of v and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**(-4\/25)\/(z**1\/(z\/(z*z**(2\/3))))*((z*z*(z**7\/z)\/z*z*z)\/z**0)**(-8\/13) assuming z is positive.\nAnswer: z**(-7337\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 36*t - 175. Let m be a(30). Solve -10*v = m*v - 60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, i: 1, p: 6, k: 4, o: 1, z: 3}. Give prob of picking 1 h and 1 p.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4868, -9742, -14606, -19454, -24280, -29078, -33842, -38566?\nAnswer: -43244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20570 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/15 - 1584*y**3\/5 + 3728036*y**2\/15 - 322869216*y\/5 + 964884362\/15 = 0.\nAnswer: 1, 713, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z. Let a(i) = 3*i**2 - 27. Determine m(a(x)).\nAnswer: -36*x**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/28)\/(3\/((-84)\/10)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 11*r**2 - 7*r + 13. Let l be g(14). Let u = l - -1218. Let t = u + 592. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a5 (base 15) to base 12\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x + 12. Let d(i) be the third derivative of -i**5\/60 - 12*i**2 - 3. Determine l(d(y)).\nAnswer: -5*y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2030\/33 - 184\/3. What is the closest to -0.2 in 1\/3, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*3*(sqrt(200) + 1 + sqrt(200)) + -1 + 0 + 2*sqrt(200))**2.\nAnswer: 2800*sqrt(2) + 40098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -24*l - 1170. Let v be m(-81). Calculate the highest common factor of 1462 and v.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, h: 2, z: 4}. Give prob of sequence hy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*o - 8*o**2 + 529*o.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30829362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -36*y - 372. Determine p(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -8*d + 44. Let x(z) = 2*z. Let m(w) = -w**3 + w. Calculate d*x(v) + 6*m(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76, -74, -72, -70, -68, -66?\n\"Answer: 2*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5838971617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 2*c = -3*h - 2, -5*h = 2*c + 2. Suppose u + 3 = -2. Sort -1, h, u.\nAnswer: u, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 39 = 3*l, 5 = 3*p + l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -20, -6, 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2. Let y(h) = -10*h. Let j be y(-4). Let a(c) = -5*c - 40 + j. Calculate i(a(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 8*x + 26. Let d be y(-10). Suppose -5*a = p - 6*p - 205, 0 = -4*p - 20. What is the greatest common divisor of d and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890238 - 27975 = 431*f - 1401349. What is the highest common factor of 78 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u. Let v be g(-1). Suppose -3*p - 3*n = -v - 9, -n + 5 = -5*p. Let w = 44 - 130\/3. Which is the nearest to w? (a) -2 (b) p (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2719907 + 4332711.\nAnswer: 7052618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8.9. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/2)\/(z**(12\/11)\/z))\/(z**(-17)*z\/z**1))**(6\/23) assuming z is positive.\nAnswer: z**(1215\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 + 117. Let c = y - -2. Calculate the greatest common factor of c and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 19. Give h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 3:08 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2310033240 (base 5) to base 8.\nAnswer: -23533252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + (-5 + -1 + sqrt(1300))*2) + 2)**2.\nAnswer: -5160*sqrt(13) + 48649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59\/8? (a) -1 (b) -0.03 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:14 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 6*k**2 + 3*k - 7. Let p = -11 + 17. Let n be (27\/9)\/((-3)\/(-2)). Suppose -n*x - 4*i + 6*i = -p, -i + 33 = 5*x. Give l(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 26*z - 560 = 38*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -39.9. What is the nearest to s in -1\/2, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 68 = -74. Let v(s) = -7*s**3 - 15*s**2 - 2*s - 5. Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 362 + -1811\/5. Sort 2\/5, h, -2 in decreasing order.\nAnswer: 2\/5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 3, 1211 in decreasing order.\nAnswer: 1211, 12, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 35.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v = 161 - 81 + 88 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -228.58 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -147*((-18)\/63)\/1. Put -4, g, 0 in ascending order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14899\/2793 + -1\/931. Let i(m) = 5*m - 1. Let s be i(1). Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:05 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 6*d + 1926 = 1884 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 4. Let u(t) = 3*t - 11. Suppose 5 = 3*o + 14. Let m(b) = o*u(b) + 8*g(b). Let c be m(-1). Solve -9 = -3*q - c*p, 2 = 2*q - 2*p - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*c - 1120, 2*c - c - 551 = b. Factor 9*h**2 + 545*h**3 - 2*h**2 - 3*h - c*h**3 + 3*h**4 + 2*h**2.\nAnswer: 3*h*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -437 - -439. What is the first derivative of 44 + 8 + 3 + 48 + 33 - 134*w**c wrt w?\nAnswer: -268*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 292 + 2*r**2 - r**2 - r - 294. What is the units digit of d(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -31.\nAnswer: 44\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -717 (base 16) to base 3.\nAnswer: -2111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54*183283\nAnswer: 9897282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + (5 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/10 + 51\/34. Which is the second biggest value? (a) -2 (b) 2\/13 (c) w (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:15 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1374\/((50\/30)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 + 5*h**2 + h**2 - 3*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - 2.94. Let z = l + -0.3599999. Round z to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 - 1073\/5. What is the nearest to -1\/4 in -5, 0.13, d, -4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*l + 64. Suppose -4 = 4*i, -8*b - 19 = -3*b + 4*i. Let j be (b\/l + 0)*-1. Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Suppose -u = 4*o - 41, -f*u - 19 = -5*o + 26. Solve -4*k + o = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 12, 0, -27 in increasing order.\nAnswer: -27, -13, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.81.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -1\/111, 3, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*u + 83 + 69, u + 104 = 3*g. Solve -g + 43 = -10*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3096 (base 11) to base 4.\nAnswer: 1000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 81780.83004 to zero dps.\nAnswer: 81781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzqzzqqzq. What is prob of sequence zqqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 10*g - 5. Let m be q(7). Let p = 187 - m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose 3*h = -4*w - o, -h + 10 + 2 = -5*w. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83995193 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h + 8. Let w = h + 4. What is the smallest common multiple of w and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*2 + 2 + (sqrt(432) + 3)*-6 + -1)**2.\nAnswer: 1632*sqrt(3) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -2\/15, -0.2, -1\/3, 1690.07, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -4*p**2 - 66*p + 399. What is d(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d - 8 = 0. Let k be (-2 + 0 + -1)*d\/6. Let t be -2*(-3)\/(-2)*1. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9920 and 50220.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 485141.\nAnswer: -54\/485141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 436 and 468?\nAnswer: 51012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 9*t - 1. Suppose -5*h + 5*f - 48 - 52 = 0, 0 = -3*f. Let v = h + 12. List the prime factors of k(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-2\/15))*u**0\/u)\/(u**(-2\/5)*u\/(u*u*u\/(u\/(u\/(u*u\/(u*u**(-2)*u))*u))*u)))\/(u**0\/u*u**(1\/4)*u*u\/(u**(-1\/3)\/u)*u**6\/u) assuming u is positive.\nAnswer: u**(-379\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*0.16438.\nAnswer: -5.58892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - 5\/21*-6*7. Calculate the greatest common divisor of r and 868.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -24 (c) 23 (d) -1 (e) 4 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278 + 277.9994626. What is j rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:22 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2004, 8025, 18058, 32091, 50112?\n\"Answer: -2*f**3 + 2018*f**2 - 19*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -194*o + 105*o + 113*o. Let v(c) = 4*c. What is l(v(s))?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7222?\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 28*a + 16. Let l be p(0). Solve 4*s - l = s - 2*y, -2*s - 3*y + 14 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494733, -494735, -494739, -494745, -494753, -494763?\nAnswer: -494775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -43, 0.2, -0.4, -46?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -21, 0 in ascending order.\nAnswer: -21, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let q(k) = 2*k - 5. Let v(g) = -6*g + 14. Let l(c) = 17*q(c) + 6*v(c). Calculate 4*i(t) - 3*l(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.012341 decades in millennia?\nAnswer: 0.07012341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 + q - 1. Let k be a(1). Suppose 5*h + 2*v + k*v = 25, h - v = 1. Let w = -13 - -21. Solve -j = h*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -709, -609, -435, -187?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 2*k**2 - 7*k + 13. Let l(t) = t**3 - t**2 - t + 1. Let u(y) = -5*l(y) + m(y). Let s be u(3). Sort 0, -1, 5, s in increasing order.\nAnswer: -1, 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -649604, -2598425, -5846460, -10393709, -16240172, -23385849?\n\"Answer: -649607*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 838*i - i**2 + 2*i**2 + 925*i - 2 - 7*i**3 to o + p*i**3 + k*i + b*i**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3\/4))**(2\/29))**49)**(-3\/5) assuming b is positive.\nAnswer: b**(-147\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-128) - (-4)\/(-32). Let f be (-4)\/(-6) + (-8)\/(-6). What is the nearest to s in 0.5, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.078255nm in centimeters?\nAnswer: 0.0000007078255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-64))\/(2*-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4183\/235)\/((-18)\/20 + 1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68 + -1ae6e2?\nAnswer: -1ae75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3653, 5495, 7337, 9179, 11021?\n\"Answer: 1842*s + 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 2*w + 9. Let v(s) be the first derivative of s**4 + 3*s**2\/2 - 10*s + 313. Determine 6*f(o) + 4*v(o).\nAnswer: -2*o**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101200.214234 + 101202. Let y = i + -1.784. Round y to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 7. Suppose 2*a = 5*a - 15. Let p(o) = -o**3 + 5*o**2 - o + 7. Let z be p(a). Let r = z - 6. Calculate h(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33388 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + v + v + v.\nAnswer: -8*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 3. Let x be d(3). Suppose x = -i + 2*k + 9, 4*i - 3*k = 7*i - 27. What is the remainder when 25 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + 1 + 6*q - 4 to the form n + z*q and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 530, -51, 4 in decreasing order.\nAnswer: 530, 4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34613 (base 12) to base 10\nAnswer: 69999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43194296 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 15*r - 3. Let n be z(8). Let u be ((-6 - -16) + 0)*2\/5. Solve 1 = n*p - u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 726508 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.072, 0, -1182, 4?\nAnswer: -1182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 40928*u. Let o(d) = d**2. Calculate z(o(w)).\nAnswer: w**4 - 40928*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2033*h = -2029*h - 4*p - 8, -18 = 3*h + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t - 2*t)*(0 - 2*t + 0)*(-5*t + 6*t + 3*t) + (-2*t**2 - 2*t + 2*t)*(-3*t - t + t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1 + 4*q - 5*q + 2*q. Let s(j) = 60. Let u(k) = 9. Let l(r) = 4*s(r) - 27*u(r). Give 2*l(v) - 6*t(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 23*d - 25*d + 3954048 = 0, -3*d = -4*n + 3954038. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -0.5, -3\/7, -2810?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2567*b*i + 6*b + 17*i**2 + i - 420598 wrt i.\nAnswer: -2567*b + 34*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*z**3 - 1615202 + 1615202.\nAnswer: 386*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-18))\/(3\/336) and (-586)\/48 + (-11)\/(-33).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83030 and -0.2.\nAnswer: 16606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 11444 (c) 2\/19 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 57 + 0*b**2 - 35 - 4.\nAnswer: -b**2 - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 248673865*d + 283117470 wrt d.\nAnswer: 248673865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820, -750, -634, -472, -264?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109921 + -35564. What are the prime factors of m?\nAnswer: 74357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/sqrt(275) + 1*(sqrt(11) + -1).\nAnswer: -1 + 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 22*z - 28. What is v(-23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809884 a multiple of 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = g, 8*m = 3*m + 4*g - 10. Which is greater: m or 2\/69?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from bbfrbbfrfrfffbbrbbbb?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -0.5 (c) -7 (d) 1\/940\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 26. Let h(v) = 4 - 1 + 6*v + 0 + d. Let q(z) = -5*z - 4. Give -6*h(r) - 7*q(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 3*n**2 + 4. Let i be r(3). Find the second derivative of -7 + i*p**2 + 7 + 30*p + 7*p**2 wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 times -0.89?\nAnswer: 93.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160909832 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25197*r**3 + 25061*r**3 + 25023*r**3 - 75175*r**3.\nAnswer: 106*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-4 - -11) + -37 + 5\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21007?\nAnswer: 7, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.068 - -27.932. Let s = b + -27.918. Let x = 0.0761 - s. What is x rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 - 5)*(9 - 53*c - 9) - 4 + 2*c + 0 + 2 to w + r*c and give r.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.2 + -20. Let d = 3 - u. Sort 0.03, 0.5, d in decreasing order.\nAnswer: 0.5, 0.03, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 + 13*m**2 + 8*m - 5. Let g(k) = -k**3 - 6*k**2 - 4*k + 2. Let o(n) = 5*g(n) + 2*t(n). Let p be (-4)\/6 - 34\/(-6). Give o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*w - 0*h + 40, 0 = 2*h. Let o be w*1*6\/15. Suppose -40 = -0*u - o*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y + 7 - 10 = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 88.67448 micrograms?\nAnswer: 0.00000008867448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + 2. Let q = 0 - -1. Let b = 592 + -592.4. What is the nearest to 0 in a, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -507939\/1115 at least -456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*x**2 - 65*x**2 - 89*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/19 + 352*b**4\/19 - 2382*b**3\/19 + 2672*b**2\/19 + 5408*b\/19 = 0. Calculate b.\nAnswer: -1, 0, 4, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 4:44 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -410, -404, -386, -350, -290, -200, -74?\n\"Answer: w**3 - w - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 6*r**2 + 200*r + 192 = 0. Calculate r.\nAnswer: -8, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381520410?\nAnswer: 2, 3, 5, 31, 277, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(26550\/(-400)))\/(4\/(-18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1144 = 23*i - 18*i. What is the smallest common multiple of 13 and i?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 243*w - 1800. Calculate p(-118).\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.55408 + -5\nAnswer: -4.44592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2804011 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -44. Let a = j - -42. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7317 - 36567\/5. Solve 81\/5*x**2 + 1\/5 + o*x = 0.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by -6.\nAnswer: -85\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 21*b = 49*b. Solve 15 + b = -3*i, 2*y = -5*i - 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 13*v - 159 = 0, 11*z + 5*v = 7*z + 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75033430 is divided by 2538?\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*o - 220*o - 217*o + 8*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 396*i + 118385. Give q(-300).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*d + 2707, 141 = -2*n + 2*d - 1235. Let v = -187 - n. Suppose 2*y + y = -5*i + v, 4*y + i = 633. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 286*w + 2 + 279*w - 2. What is the remainder when 58 is divided by a(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.49 + -0.3.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**3 + 2*y**3 - 4*y**3)*(183 + 313 - 340)*(-9 + 9 - 6) to the form r*y**2 + b*y**3 + t*y + o and give b.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*m + 3, 0 = 2*f + m - 2 - 6. Let a be ((-2)\/(-4))\/(1\/4). Suppose 3*k = -a*i + f, 3*i + 9 = 4*k - 12. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.07? (a) -3\/5 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1474977 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-7)\/(2170\/20)*(-7)\/(-7)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 61*s**2 + 9*s**2.\nAnswer: 70*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-16)*(f*f**6)\/f*(f*(f\/f**(1\/32))\/f*f)\/(((f**(-22)\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(511\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**2*o**3 - a**2*o**2 + 641*a**2*o + 6*a**2 + 1147571*a*o**3 + 2*a wrt a.\nAnswer: 16*o**3 - 2*o**2 + 1282*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -129*w + 37840. What is i(293)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041795 rounded to five decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 - (-282)\/9. Suppose 38 - 245 = -3*o. Let a = o - n. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 129.49?\nAnswer: -129.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.175 - 38.375. What is the fifth smallest value in 2, 4, r, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76 - 76 + 7*t**5 + 2*t**5 + 0*t**5 - 5*t**5 + (-2*t**4 - 4*t**3 + 4*t**3)*(5*t - 3*t - t).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489402.\nAnswer: 2, 744701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 756*i**2*r**2 + i**2*r - 22*i*r**2 + 5*r**2 wrt i?\nAnswer: 1512*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*j + 3 = 3*g, 3*g - 5*j = 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 889, 5, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(1\/(-6)*-4). Find the second derivative of -4316*t**w + 25*t + 4316*t**3 - 22*t**5 wrt t.\nAnswer: -440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 7. Let l = -51 - -90. Suppose -y - 3*u + 13 = y, -y = -5*u - l. What is the highest common divisor of y and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {q: 6, c: 2, h: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9885739 = g + 25203830. Let q = -21518091 - g. Round q to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -3, -1.\nAnswer: -49, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 7*r + 13. Give d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8390*r**3 + r**2 - r - 5954 wrt r.\nAnswer: -50340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -430 - -760. Suppose 122 - t = -4*o. Suppose 53*s = o*s + 185. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*b*o*p*s**2 + 7*b*p*s**3 - 8*b*p*s - 119*b*s**3 - o*p*s**3 - o*p*s**2 - 2*p*s**3 - p*s**2 wrt s?\nAnswer: 42*b*p - 714*b - 6*o*p - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2. Let k be (-6)\/(-21) - (-45)\/(-35). Let z(m) = m. Let q(h) = 4*h**2 - 4*h. Let d(j) = k*q(j) - 4*z(j). Determine d(u(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*i + 2 = z, 0 = -3*z + 2*i + 1. Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 21*j - 1. Let o be m(-1). Let a = 75 + o. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 124602471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -33*g**2 + 1. Let t be n(1). Let v = -24 - t. Let d = 8 + 5. What is the lowest common multiple of v and d?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31513881?\nAnswer: 3, 7, 61, 73, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 3 + 95\/(-10). What is the biggest value in 0.4, l, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/(-1485) + ((-4810)\/(-427350) - (-1)\/(-21))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608119 is divided by 1717.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.039 in 0.1, -2\/21, -14\/15, 37, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvlv when four letters picked without replacement from vvvvlvlv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3221 - 10?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*(-22)\/(-99). Is 11 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l - 2. Let r(z) = -z. What is x(r(v))?\nAnswer: 25*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/456*(-4)\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1)**(4\/25))**(-22)*x*x**6*x*x*x**7*x*x*(x*x\/(((x\/x**0)\/x)\/x)*x)**(4\/23) assuming x is positive.\nAnswer: x**(430\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17003120, -17003164, -17003208, -17003252?\nAnswer: -17003296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2989, -23131, -77611, -183601, -358273, -618799?\nAnswer: -982351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 3*v + 28. Does 22 divide l(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58325872 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 689989389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-1)\/(9\/3). Suppose 5*k + 3*p + w*p = 210, -3*k = p - 132. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**4 - 740480*a**3 + 34267192888*a**2 + 205623150720*a + 308444722884 = 0 for a.\nAnswer: -3, 92563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1\/28*(-42)\/108?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67b + 55?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2350, 2344, 2334, 2320?\n\"Answer: -2*f**2 + 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2\/13 (c) 1\/7 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229500, -459170, -688840?\nAnswer: -918510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2752*d - 35780. Give i(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14394)\/4 - 2\/4. Let a = d + 39615\/11. Find the common denominator of (91\/(-140))\/((-96)\/1440) and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 - 0. Let x = 0.69 + r. Let a = 0.5200033 - x. Round a to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2 + b + 3. Let o(d) = 29*d**2 + 3*d + 8. What is 11*h(k) - 4*o(k)?\nAnswer: -6*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:16 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6.02. Let f = o - 0.98. Which is the closest to f? (a) 2 (b) 3 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 - (0\/(-1 + 0) + -5). Let h(f) = f**3 - 4*f**2 - 2*f + 2. Calculate h(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m. Let v(j) = -j**2 - 5. Let s(u) = 1. Let l(r) = 8*r**2. Let y be l(1). Suppose -5 - 3 = -y*b. Let w(n) = b*v(n) + 5*s(n). Give w(c(x)).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -6797.\nAnswer: 20391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-1)\/b)\/b)\/b)**(-9)*(b\/(b*b**(-2\/3)))**(-1\/12) assuming b is positive.\nAnswer: b**(485\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -892523 - 3?\nAnswer: -892526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*x - 8, 4*x = 12*t - 16*t + 12. Solve h - 8 = -4*m, -8*h + x*h - 6 = -3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 47. Suppose -59 = -3*x + h. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739 + 314 = -140*w + 1067 + 1168 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*63\/(479493\/(-172))?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8052, -64335, -217106, -514611, -1005096, -1736807, -2757990?\nAnswer: -4116891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 527*x + 527*x - 29 to i + v*x**2 + q*x and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 2*a**2 - 2*a - 1. What is j(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80460 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 7:47 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 53*n - 1. Let g(q) = q**2 + 24*q - 34*q + 10*q. What is u(g(j))?\nAnswer: 53*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Let f = -0.04 - -0.14. Sort w, f, -1 in decreasing order.\nAnswer: w, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from xrxvryrvppvrrxvv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 0*d - d - 3 + 4*d. Let b be i(2). Suppose -5*t + n = -31, -b*t = 2*n - n - 17. Calculate the highest common factor of t and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7690 = 8*b - 3*b, -q + 1544 = -4*b. Is q < 1538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 0*v + 182\/9*v**3 + 4\/9*v**2 + 0 = 0.\nAnswer: -2\/91, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 3*q**2 + q - 5. Let v be c(-4). Let r = v + -6. What is the closest to r in 1\/5, -4\/3, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8339802 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (-213 + 140 - -8).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56807 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 38, -8, -92, -226, -422?\n\"Answer: -2*g**3 - g**2 - 3*g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = f + 2*f + 2, 5*f = x + 26. Let o(r) = r**3 - 7*r**2 + r + 6. Let l be o(f). Let h = 31 + l. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 856\/30225 - 2\/1209. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.01, 6.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1 + (1 + 0 - 3)*(-3 + 6 - 2) + 4 + 3 - 4 - 3 + 4 + 0 + 6 + 4 - 6)*(-7 + 7 - 2*r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 = -50*w + 47*w. Let o = w - -52. List the prime factors of o.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2787923 is divided by 800.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n = j - 45, -5*n - 2*j = -54. Let q(w) = w**3 - 13*w**2 + 7*w + 4. Let k be q(n). Is (-8101)\/(-7) - (-16)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10\/(u\/u**(-1\/20)))**(6\/5)*((u*u*u\/(u**(1\/8)\/u))\/(u**8*u))\/(u*u**1*u)**(-2\/15) assuming u is positive.\nAnswer: u**(1203\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 11089 - n + 11000 - 21803 - 3*n + 4*n**2 in the form b*n + f*n**2 + i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -7*x**3\/6 + 1351698*x**2 + 6951602*x\/3 - 772400 = 0?\nAnswer: -2, 2\/7, 1158600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 715 + -359. Let q = 359 - l. Solve q*z - 18 = -3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 318 + 288 = -2*f, 0 = f + w - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 240113*w + 240104*w - 2 - 2 + 5.\nAnswer: -9*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/24*-4)\/(7\/(-21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205\/18, 1, 1\/115.\nAnswer: 1\/115, 1, 205\/18","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 420220956*f*x**3 - 45*f*x**2 - 882*f*x - 5*f + x**2 - 10*x wrt x.\nAnswer: 2521325736*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/r**(-2)*r*r**(-2\/81)*r\/(r\/(r*r*r\/(r**(-25)\/r)*r*r*r))*r*r)**28 assuming r is positive.\nAnswer: r**(102004\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 3*q - 2*q**3 + (0*q**2 + q**2 - 3*q**2)*(-3*q + 5*q + 0*q) + 2*q**3 + 4 - 4 - 4*q + 4*q + 2*q**3 + (-5 + 3 - 1)*(-163*q**3 - 5 + q + 4 + 2).\nAnswer: 487*q**3 - 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 42 = -18*l - 306 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from {q: 2, y: 18}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.82, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-16)*4)\/(3\/(-54)). Let t(q) = -13*q - 34. What is the units digit of t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 233.4, 2\/3, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z + 12. Let u = 159611\/3 + -53203. Factor 2\/3*s**2 - u*s - 2\/9*s**z + 2\/9.\nAnswer: -2*(s - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((55\/(-20))\/11)\/(945\/108)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 10:17 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-195)\/(-6))\/((-1)\/(-2)). Let p be 1\/((6\/(-3))\/770). Let j be (-1)\/(-6) - p\/30. What is the highest common factor of x and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 + 289528376*y**2\/7 - 10478334774121290*y\/7 - 20956670706356100\/7.\nAnswer: -2*(y - 72382095)**2*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*y**5 - 3831749*y**4 - 12698359551*y**3 + 17185676049*y**2 - 4879096560*y + 395612100 = 0. Calculate y.\nAnswer: -6630, 3\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2394 is divided by 702.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 146\/90251?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 6*f**2 - 3*f - 3*f**3 - 5 - 7*f**2 - 3*f**3. Let m be q(-2). Suppose -82 = -3*r + m. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -875.14 and 49897.53.\nAnswer: 49022.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-110))\/((-16)\/(-60)*(-855)\/(-380)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 14*d**2 - 14*d + 11. Let g = -32 + 45. Let x be s(g). Let l = 31 - x. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-70)\/(-1))\/1*966\/105?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 5 + 2 + 2. Let q = -3 - -2. Let a(z) = -z - 1. Let k(n) = -7*n - 6. Let t(s) = -6*a(s) + k(s). Determine q*t(c) + 2*h(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493 and 1751?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4\/3, -14, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -20\/101, 0, 0.4, -0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3\/(-2)) + 6. Suppose -3*i + 4*i = 0. Put i, d, -5 in decreasing order.\nAnswer: d, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 = 5*d - h, -3*h - 3 = -3*d. Let z(s) be the first derivative of -1\/4*s**4 + 5\/3*s**3 - 6*s - 4 + 3*s**2. What is z(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**3 - s**3 - 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = i - 12. Let q = i + -41. Let g(p) = p**3 + p + 12. Determine g(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 5, m: 12}. What is prob of picking 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.234 + 3.6. Let c = -1.36601918 + y. Round c to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -465.6 or -1518\/13?\nAnswer: -1518\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 8*c**3\/3 - 2751. Let o(y) = -176*y. Determine d(o(n)).\nAnswer: 247808*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 6, -18, -5 in decreasing order.\nAnswer: 115, 6, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 28*x**2 + x + 12. Let f be r(-14). Let k be (-8)\/(24\/(-15)) - (f + 4). Solve 11 = 2*i + k*z, 17 = -3*i + 4*z - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14273 - -14275. Let j = -2 - -2.3. Which is the nearest to j? (a) -1\/2 (b) w (c) -2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - -7.65. Let f = -0.09 - -8.09. Let s = f - g. Sort 1\/3, 1, s.\nAnswer: s, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18340 - 72763\/4. Let y = -152 + s. What is the common denominator of y and 4\/(-18) - 43\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2 = 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**3 - i**2 - i. Let b be n(-1). Let r(l) = 6*l**2 + b + 1 - 10. Let h(x) = 2*x**2 - 3*x**2 - x**2 + x**2. Determine h(r(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31.9 in -1, 2\/5, 3, -4\/329?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-6)*((-190)\/(-40) + -4).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0393 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1257351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464 by -4.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 96*j + 213. Is 76 a factor of n(89)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dodm when four letters picked without replacement from {i: 1, f: 1, m: 3, o: 1, d: 2, v: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43, 36, 29, 22, 15, 8?\n\"Answer: -7*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/3 + -9 + -2 + 12. Which is the second biggest value? (a) -17 (b) 3\/8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-680)\/96 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249086 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s + 5. Let h be z(5). Let v be 10\/75 - 154\/h. Let l(r) = -10*r**2 - 4*r - 7. Let d(c) = -7*c**2 - 3*c - 5. Calculate v*l(n) + 7*d(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4666614 + 9185*r + 4666614 in the form p + q*r and give q.\nAnswer: 9185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97092, -194185, -291280, -388377, -485476, -582577?\nAnswer: -679680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Which is the closest to m? (a) -0.5 (b) 2 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + 44*l + 7. Let o be b(-11). Suppose -10*q + 249 = -o*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -2 + (-27)\/(-4))\/(11\/88).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) + 0 - sqrt(13))*-3 - (sqrt(1573) - (-1 + sqrt(1573)))*-2)**2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3876961*k**2 - 11814*k + 9.\nAnswer: (1969*k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 773 + 669 = n, 0 = -4*k - 12. What is the highest common factor of n and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 + 65. Let k = 202 + f. Let i = 1 - -7. Calculate the remainder when k is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - x**3 - 3 + 1 - 138*x**2.\nAnswer: -x**3 - 138*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.085 times -0.01\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 3*c**2 + 7*c**2 + (0*c + 3*c - c)*(64*c - 35*c + 9*c))*(-2*c**3 - 4 + 4).\nAnswer: -158*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/49 or 0.0607?\nAnswer: 16\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.34 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 279*l - 9823. What is m(237)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3 and (-16)\/19568*406\/(-14).\nAnswer: 3669","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 2*p - 2*p**2 - 2*p**2 + 6*p**2 - p**2 + (4*p + 3*p - 2*p)*(1081*p - 925 + 925) as t*p**2 + h*p + z and give t.\nAnswer: 5406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 0.2 (c) 2\/41 (d) -841 (e) -2\/13 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99598 is divided by 172?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c - 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22554 + -9110. List the prime factors of v.\nAnswer: 2, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 6, w: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000441 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, -6, -18.\nAnswer: -18, -6, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t**3\/9 + 8266*t**2\/9 + 1652*t\/3 = 0. What is t?\nAnswer: -826, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222134524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y + 28. Let u be c(-4). Let n be 2\/(2\/(-6) - -1). Does 18 divide (n - u)\/((-2)\/156)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**21\/u*u**(2\/29)\/u assuming u is positive.\nAnswer: u**(553\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 2*v - 2. Let d(l) = 9*l**2 - 3*l + 4. Let a(c) = 5*b(c) + 2*d(c). Factor a(f).\nAnswer: -2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 10:47 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15707, -31445, -47207, -63005, -78851, -94757, -110735?\nAnswer: -126797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -109018, 0.2, 0.3, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*l + 3*b - 310, -6 = 3*b. Suppose 4*k - 2*k - 2*o = 50, 0 = -3*k + 4*o + l. What is the remainder when k is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k + 11. Let d(s) = -s**2 + 3*s + 12. Let t(h) = 2*d(h) - 3*f(h). Find the first derivative of t(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 17 = 5*t, 0*g - g - 4*t + 22 = 0. Find the third derivative of -534*c**2 + 1 + 457*c**g - 1 - 124*c**3 wrt c.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/26)\/(-5) + 40\/91. Let j = -208 + 216. Which is greater: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 25*u + 3.\nAnswer: 25*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 9, -5*q = -9*y + 4*y - 5. Suppose y*i - 14 = 2. Is 8 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**2 + 128*q + 14. Let d = 383 - 373. What is the hundreds digit of c(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 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: Is 121 a factor of 64977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/3 (b) -5 (c) -1\/5 (d) -0.4 (e) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (21*x - 14 + 14)*(32 - 7*x + 23*x - 32).\nAnswer: 336*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 3, r: 1, d: 2, w: 8, e: 2}. Give prob of picking 1 i, 1 r, and 1 a.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.79438 - 0.8. Round i to four decimal places.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q + 18 = 0. Let d(k) = -k**3 + 7*k**2 - 7*k + 7. Let u be d(q). Which is greater: -2\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 40. Let y(j) = -8. Let c(w) = -2*u(w) + 10*y(w). Let d(b) = 7*b. What is d(c(h))?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 16. Let o be ((-16)\/(-6) - 2) + 86\/6. Calculate the highest common divisor of s and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 14*l**5 + 50*l**4 + 4*l**3 - 68*l**2 - 18*l + 18 = 0.\nAnswer: -3, -1, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -90. Let g = -59 - w. Let k(x) = -324*x - 99. Let y(n) = 13*n + 4. Let h(p) = g*k(p) - 99*y(p). Let j(v) = -2*v**2. Give h(j(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1846*q - 1771*q + 900 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 + 335. What is the greatest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**9\/10584 - i**8\/5880 + i**7\/2940 + i**6\/1260 + i**3\/3 - i**2. Let u(f) be the first derivative of r(f). Factor u(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Let c(o) = 13 - o**2 + 1 + 0 - 11*o. Let x be c(-12). Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -838*q**3 - 23*q**4 + 838*q**3 + (399*q**3 - 399*q**3 - 11*q**4)*(1 + 1 + 1).\nAnswer: -56*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1896.85ug to milligrams.\nAnswer: 1.89685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 12 = -30. Suppose 3*u - l*o = -19, -5*o = -2*u - 4*o - 13. Which is the nearest to -1\/2? (a) 0.5 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**5\/60 + 13*v**3\/3 - 29. Let h(i) be the third derivative of d(i). Let p(q) = -13*q**2. Calculate p(h(w)).\nAnswer: -52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**2\/2 - 270. Let s(f) = f**2 - 5*f. Give s(m(b)).\nAnswer: b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 7 = 21. Solve -n - 17 = 8*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185318 + 417881 + 186228 = 8550*a + 62677 for a.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 3*h**2 + 5*h + 28. What is i(7)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -411.8, 1\/6, -3188 in ascending order.\nAnswer: -3188, -411.8, 1\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**3 + 80*i**3 + 13*i**3 - i to the form y*i + c*i**3 + w + p*i**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*r**3 - 1830*r**2 - 1731*r - 5 wrt r?\nAnswer: -630*r - 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171335 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 10. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*b*g**2 + 169*b*g + 42409*b wrt g.\nAnswer: -110*b*g + 169*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/162 + 12\/54. Put -11, o, -9 in descending order.\nAnswer: o, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/11, 2\/11, 0.2, -1\/3, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(100\/15)*(-16)\/(-56)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6*s + 23 = -3*y, 5*y + 5*s = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7993 divided by 12398?\nAnswer: 7993\/12398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = -10. Suppose 4*j = 20, x + 4*j - s + 12 = 0. Let p = x + 25. Is -4 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 - -3. Suppose 10*n + 358 = -132. Let i be ((-27)\/63)\/(7\/n). Which is the closest to i? (a) j (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:01 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513 - 237. Let l = f - 427. Let n = l - -151.71. Round n to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {p: 1, m: 3, a: 4, n: 1, t: 10}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 353 and 0.5.\nAnswer: 176.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34466 is divided by 17143.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 19 = l. Suppose -l*h + 2 = -18. Find the third derivative of 33*k**2 - 11*k**3 + 40*k**2 + k**3 - 69*k**h wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 2*g - 2. Let y be i(2). Let d = y + 25. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {y: 1, i: 10, o: 2, c: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -16 - 3*b + 15 - b. Let t be a(-3). Suppose 0*k = -3*k + 5*z + t, 2*z - 25 = -3*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 1520053.\nAnswer: -21280742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7 - 100*y + 199*y - 110*y + 165. What is q(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 6*s + 7. Let k be r(5). Suppose 0 = -4*o + 3 + 5. Suppose f = 4*h - 69, 0*h - 9 = h + 5*f. Solve -k*q - h = o*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 82. Which is the nearest to d? (a) -21 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212 (base 5) in base 14?\nAnswer: 22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 5, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2360874, -4721756, -7082638, -9443520, -11804402?\nAnswer: -14165284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0059 - 0.5941. Sort 4\/7, 0, -0.2, g.\nAnswer: g, -0.2, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 + 107 = l, 0 = -d - 3*l + 36. Suppose 8*j = 2 + d. Suppose 0 = -2*k - j*s + 6, 4*k + s - 42 = -s. 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 24934\/140140 + 8\/220?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.8, -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) 22626 (c) 1\/12 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 2\/3, 2, 30, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*c**2 + 18372*c + 21108394 with respect to c.\nAnswer: 56*c + 18372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f = -67*f + 41837. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.343892 to three decimal places.\nAnswer: 5.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**8\/24 + 3*y**4\/8 + 8*y**2 + 6. Let u(d) be the second derivative of z(d). Find the second derivative of u(o) wrt o.\nAnswer: 280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 3:07 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 1, t: 3, u: 1, w: 1, z: 12}. Give prob of sequence suwf.\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10\/1541 - -1581\/6164. Factor c*l**4 + 0*l**3 - 3*l**2 - 4*l + 0.\nAnswer: l*(l - 4)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 4*q**2 - 220*q - 615. Calculate n(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 10. Let l(f) = -3448*f. Give l(g(y)).\nAnswer: -6896*y - 34480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60293171.\nAnswer: 31, 53, 36697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(25*k - 5*k + 17*k) + 2 + k - 2.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 7*r**2 - 6*r + 4. Let g be x(6). Let z be (-6)\/42*(-4 + -17). Solve 3*i + z = 3*k, -i - 14 = g*k - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2465.\nAnswer: 1\/2465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955520.7 decades to millennia.\nAnswer: 9555.207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*l + 369627 + 12502 = 0, -229293 = -3*v + 4*l. What are the prime factors of v?\nAnswer: 13, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -15 - (31 - 21)) + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1005, 11504, 29003, 53502, 85001, 123500?\n\"Answer: 3500*u**2 - u - 2494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*i**5 + 244*i - 2 wrt i?\nAnswer: -1040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6677903507.\nAnswer: 11, 5303, 114479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25655994 divided by 986769.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 5*v - 8. Calculate the remainder when 16 is divided by i(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12124 and 0.3085.\nAnswer: -3740.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/5 - 3424*d + 4492638\/5 = 0.\nAnswer: 271, 8289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 945244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5664\/1008*(-189)\/(-18)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n\/(n\/(((n*(n\/(n\/(n\/n**1)*n*n)*n)\/n*n*n*n)\/n)\/n))*((n*n*n**1\/n)\/n)**(-21\/2))**(-13\/5) assuming n is positive.\nAnswer: n**(117\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*a**3*g**3 - 375*a**3 + 232*a**2*g**3 - 117*a**2 wrt g?\nAnswer: -96*a**3*g**2 + 696*a**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 3. What is the units digit of j(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -16*d + 1. Let t be 1\/(-3 - (-24)\/9). Is o(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/3)\/(j\/j**(1\/4)) assuming j is positive.\nAnswer: j**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(9\/(-5)))\/(75\/(-225)). What is the smallest common multiple of 76\/k + 276\/(-230) and -2*3\/(-3 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 3*d**5\/4 + 11*d**3\/6 + 11*d**2\/2 + 2*d. Let j(h) = -8*h**3 - 6*h - 6. Suppose -3*k - 12 = 6. Determine k*x(z) - 11*j(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240018676 by 120009338.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -36631590 at least as big as -36631591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((2976\/40)\/31)\/((-1)\/5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2907826 is divided by 116306.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y + 3. Let a be (3\/5)\/(7\/35). Suppose -2*x - 7 = a*m + 6, 4*m = 4*x + 16. Let r(h) = 4*h**3 - 1. Let i be r(m). What is j(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + f + 2*f)*(2 + 2 - 6 + (-3 + 4 - 2)*(-10 + 37 + 15))*(-f**3 + 3*f**3 + 6*f**3) in the form v + n*f**4 + j*f**3 + l*f + w*f**2 and give n.\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 220*t**2 + 11322*t + 3565. Give a(-263).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 - 21*w + 46. Let b(n) = 5*n**2 - 11*n + 25. Let m(a) = 7*b(a) - 4*q(a). What is m(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/((-8)\/2)*(-184)\/((-966)\/(-21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-10\/11))\/h*h*h\/((h\/h**(-30))\/h))\/(h*h**(-2\/5)*h*h)**(2\/111) assuming h is positive.\nAnswer: h**(-165676\/6105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + 3093\/(-21). Let k(n) = -22*n**2 - 34*n - 10. Let r be k(-1). Sort r, 5, s in decreasing order.\nAnswer: 5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-4))\/(1\/11). Let g(d) = -d**2 + 11*d + 20. Let u be g(r). Calculate the highest common factor of u and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 1, l: 3, z: 4, m: 3, u: 5}. What is prob of sequence luul?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-9))\/b*b**(2\/25)*b)**(-5\/4)*(b**2\/b*b\/(b*(b**(4\/7)*b)\/b))\/(b\/(b\/b**(-2\/5))*b\/(b\/(b**7\/b))) assuming b is positive.\nAnswer: b**(-622\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1650*r**3 + 81*r**2 - 8*r - 2. Let k(p) = -825*p**3 + 48*p**2 - 5*p - 1. Give 5*k(a) - 3*u(a).\nAnswer: 825*a**3 - 3*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let d(u) = 9*u**2 - 6*u**2 - 6*u**2. Calculate d(t(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -2, -4?\n\"Answer: -2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**7\/1995 - x**6\/1140 + 3*x**5\/190 - 11*x**4\/228 + 4*x**3\/57 + 37*x**2. Find h, given that t(h) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 535 and 173447?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 1, a: 2}. Give prob of sequence aa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1710427527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -4. Calculate the smallest common multiple of w and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5033842003 less than -2.048?\nAnswer: 5033842000.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/((-28)\/126). Let m be 5\/x*-1*3. Solve 17 + 3 = m*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15882, -63549, -143002, -254247, -397290?\n\"Answer: -d**3 - 15887*d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6017 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**17)\/((((x*(x*(x\/(x*x**(-1\/15)\/x))\/x*x*x)\/x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(-241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17552279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*l + 11*l - 13*l + (1 - 2 + 0)*(10*l + 4*l - 18*l) + l - 3*l + 0*l + 2 - 2 + l + (l - 5*l + 2*l)*(1 - 2 - 1) + 0 + 0 - 2*l + 0*l + 2*l - l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 20. Calculate p(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(18))\/sqrt(9) - (-2 + sqrt(72) + -5))**2.\nAnswer: -42*sqrt(2) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - u - 0*u + 9, 2*u + 3 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 6*a + 1. Suppose 26*j = 19*j + 189. Suppose -2*s - 7*s + j = 0. Does 8 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 13 + 578*g**3 + 7.\nAnswer: 578*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 + 14*q**3\/11 + 2*q**2 + 10*q\/11.\nAnswer: 2*q*(q + 1)**2*(q + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517614691.\nAnswer: 3, 977, 858961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -738, -1415, -2092, -2769, -3446, -4123?\n\"Answer: -677*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234693?\nAnswer: 3, 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o - 44 = 0. Suppose -5*u + o + 16 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59790881.\nAnswer: 419, 142699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 4. Let s be g(14). Which is smaller: 9 or s?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 3*j + 1. Let s(i) = -i + 9. Let c be s(12). What is the least common multiple of d(c) and (3 - 0)\/(1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1425 in -5, 3, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-36) - 987\/(-18). What are the prime factors of w*(196\/20 + -5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -305024?\nAnswer: 305025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - 56. Let q = -69.1 + w. Let g = -2 + 2.3. What is the smallest value in q, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59\/2 - 133\/4. What is the second biggest value in 1, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**3 + 13*y**2 - 4*y - 16. Let k(i) = 15 - 12*i**2 + 10*i + 8*i - 15*i - 6*i**3. Let m = -1 - 2. Let r(o) = m*l(o) - 4*k(o). Factor r(w).\nAnswer: 3*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33297 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x + x)*((0 - 2 + 4)*(1 - 2 - 1) + 4 + 0 - 5 + 3 + 1 - 5).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 2. Suppose -2*n + 15 = -5*c - j, c = 5*n - 17. Let g = -0.1 + 0.1. Is g at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s - 1)*(-4*s**3 + 5*s**3 - 2*s**3) + 10*s**4 + s**2 - s**2.\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -65*a - 56*a + 8*a**2 + 120*a - 1. Give s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225948888?\nAnswer: 2, 3, 11, 285289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19888271 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (-5*(2 + 5*sqrt(63))*-2)**2).\nAnswer: -947430 - 36000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 27. What is z(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14453\/3 - -4817. What is the second smallest value in -1\/4, 5, 31, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1503, -1576, -1763, -2118, -2695?\n\"Answer: -9*h**3 - 3*h**2 - h - 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -43 - (-6 - (29 + 1))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 12, -3\/8 in decreasing order.\nAnswer: 12, 0.04, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + t + 14. Calculate the remainder when 15*((-160)\/(-24) - 5) is divided by k(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13123101 (base 4) to base 14\nAnswer: -b129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cctcctt. What is prob of sequence ttt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/2398341 and 65\/27.\nAnswer: 21585069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**7\/105 - n**4\/8 - n**2\/2 - 3. Let u(b) be the second derivative of m(b). Find the second derivative of u(f) wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose -3272 = -5*o + g*i, -o = 4*i - 380 - 256. Suppose -o = -0*a - 4*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2550, 919, 4388, 7857?\nAnswer: 11326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1 + sqrt(117))*-3 + -5)**2.\nAnswer: 72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkb when three letters picked without replacement from {b: 2, k: 2, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0768342 plus 9?\nAnswer: 9.0768342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -23. Suppose 0*d + u = 5*d. Suppose -3*c + 208 = -d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*p + 11 = 0, -5*r - 3*p = -r + 120. Let d = -5 - r. What is the lowest common multiple of d and 15\/21*140\/200 + 39\/2?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848196.3 kilograms to nanograms.\nAnswer: 848196300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:49 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*x = 6, -250*c - 2*x + 6 = -253*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -11, -22, -39, -62, -91, -126?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let x(y) = -74*y**2 + 255*y**2 - 72*y**2 + 4 - 108*y**2 + 2. Let f(k) = 1. What is b*x(n) - 4*f(n)?\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 8*z = -5. Let b be 6\/8 - z\/(12\/(-705)). Let l = b + 94. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -15. Let b(h) = h**2 + h - 1. Let w = 5 - 2. Let l(n) = -n**3 + 7*n**2 + 4*n**w - 2*n**3 - 8 + 7*n. Give f*b(j) + 2*l(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37149554 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-435)\/55 + -1*(-4 + -7). Solve -76\/11*p**2 - 2\/11*p**5 - 50\/11*p**3 - 16\/11*p**4 - 16\/11 - i*p = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(3))**2 + 2)*-4.\nAnswer: -120 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*383.518\nAnswer: -34.51662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*z - 8 = 0, -3*z - 10 = -c - 2*z. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, v: 2, c: 4, y: 6, b: 1, r: 3}. What is prob of sequence vcy?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0322081 times 6?\nAnswer: -0.1932486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 8*f - 252. Let d(l) = 142*l + 2. Let h(t) = t. Let u(m) = d(m) + h(m). Let w be u(2). What is the highest common divisor of w and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/7, -2, 0.\nAnswer: -2, 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5)*-2 - 4*sqrt(10)\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:27 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 2*w + 1 + 35*w**2 - 26*w**2. Let k(y) = -2*y**2 - 4*y - 2. Let o be k(-3). Is f(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 9. Let q(w) = -2*w. Let j(o) = -h(o) + 2*q(o). Give j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**4\/12 - 5*d**3\/3 - 2*d**2. Let k be y(7). Suppose 8 = k*i + n - 1, -3*i = 3*n. Solve 0 = p + 4*v, 3*p + v = -i*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -0.2, -0.03, -279, -3, 1\/377?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 633 = -x. Let t = x + 471. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 820 divide 401344139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(55\/10 + -4). Suppose r - 2*r = -l. Put 4, r, 1, 5 in descending order.\nAnswer: 5, 4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -274b?\nAnswer: 274e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/26 - 1\/(364\/(-35)). Determine v so that 1\/2 - 1\/4*v**2 - x*v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = -5*p + 822, 2*p + 4*n = 332. Is p a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -0.3, -0.1, 80, -0.036, 2\/7, -3\/4?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*q**2 + 36*q + 92*q**2 - 310*q**2 - 4 wrt q.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}