diff --git "a/data/dm_maths/full_data_1/11053_11255.jsonl" "b/data/dm_maths/full_data_1/11053_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11053_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 4*w - 5*u - 55637 + 55673 = -0*w - u, -8*w = 4*u + 36 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -804, -1169, -1548, -1947, -2372, -2829, -3324, -3863?\n\"Answer: -q**3 - q**2 - 355*q - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (3 + (2 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51172940 and 22165.\nAnswer: 562902340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 16. Let b be w(0). Suppose 134 + 22 = 4*x. Let s = x + b. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(304) + -2*sqrt(304))*6 + (sqrt(304) - (sqrt(304) + -4*(0 + sqrt(304))) - sqrt(304))))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19243 - 10*r + 19243 to a + d*r and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/274092 and 73\/8736?\nAnswer: 2192736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/25)\/1*40\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24640?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 5:14 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 433470 divided by -86694?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**7\/3 - 13*c**4\/12 + 12*c. Find the third derivative of r(x) wrt x.\nAnswer: -840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 740 - 742. Suppose d - 2*d - 55 = 2*m, 0 = 5*d + m + 284. Is d bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 14*w**2 + 9*w**2 + 11.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772558, 1545135, 2317712, 3090289, 3862866?\nAnswer: 4635443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10106 divided by 2?\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 447233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u + 16. Let r = 7 - -9. Let n(x) = 2*x + 3. Give r*n(q) - 3*t(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let b(l) be the first derivative of 2*l**2 - 4*l - 1062. What is b(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -13. Suppose -4*i + 40 + 8 = -4*r, 0 = -s*r + 20. Suppose i = -k - 3*k. Which is the biggest value? (a) -1 (b) k (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2. Let c(v) = 2*v + 979. Determine c(r(d)).\nAnswer: -4*d**2 + 979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t**2 + 11*t + 1. Let d = 108 + -104. List the prime factors of y(d).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 8\/5, -2, 2 in decreasing order.\nAnswer: 2, 8\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000177337 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 - 1552*i**4 - 174704*i**3 - 2372204*i**2 - 9634702*i - 7435652 = 0. What is i?\nAnswer: -643, -118, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*a = 24, 0*h - 30 = 4*h + 3*a. Let t = 1 - h. Solve 5*q + t = -5*n, 0 = 5*n - 10*q + 5*q - 40 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0205 + 0.1795. Let d = 16 - 12.5. Let p = -0.5 + d. Which is the closest to 1? (a) g (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*k + 13*k + 756. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - i - 2*i - 89 + 94 + 89.\nAnswer: -3*i + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 15.70334 and 497.7.\nAnswer: 513.40334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 958289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -13*b + 25. Suppose -r + b*v = -4*r, 0 = 2*r - 5*v. Suppose -3*l + 5 + 1 = r. Solve 0*j = -l*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23785 and 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n - 5*n - 2*n - 187 + 6*n - 3*n to the form d + c*n and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*x = 643*x - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88807 is divided by 1057.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -118 (b) 5\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -144468, -144465, -144460, -144453, -144444?\n\"Answer: w**2 - 144469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -301 and 7118?\nAnswer: -2142518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = -3*h, 1 = -h - 3. Let b be ((-8)\/10)\/(l\/(-10)). Suppose 0 = -3*c - 6, 2*d - b*c = -3*c - 18. Are -10 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -6*z + 2*m, 17 = -z - 5*m. Let n(l) = -l**2 + 2. Let i be n(z). Let v = -6 + 6. Sort i, v, -1.\nAnswer: i, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 14*g + 7*g - 4*q - 60, 3*g - 1 - 37 = -4*q for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 108 = -188. Let c(l) = 2*l**2 - 28*l - 17. Is c(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, x: 3, e: 2, w: 2, z: 2}. Give prob of picking 1 e and 1 z.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 270*d*i**3*r**2 + 2*d*i*r**3 - 5*i**3*r**3 + 101*i**3*r wrt d.\nAnswer: 270*i**3*r**2 + 2*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 984958.6 millennia in years?\nAnswer: 984958600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/439278 and -19\/25.\nAnswer: 10981950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34545*l + 31610.\nAnswer: 34545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01846 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63426127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*f + 154*f = -109*f - 7240 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -225 or -862?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559474 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 43*y**3 - 25*y**2 - 66*y + 27977. Let v(d) = -28*d**3 + 16*d**2 + 44*d - 18652. Let s(g) = 9*k(g) + 14*v(g). What is the derivative of s(o) wrt o?\nAnswer: -15*o**2 - 2*o + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (8 - (19 + -7))) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 596908 and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (35 + -19) - -122.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 68 = j, -3*r + 4*j = -0*j - 32. Let x be r + 4 + 1\/1. Let i be ((-6)\/9)\/(x\/(-9)*1). What is the closest to -4 in 0.1, i, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17472\/5 + 3472. Which is greater: o or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 10576270?\nAnswer: 95186430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, -0.2, -5\/2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4\/13 + 5164*j**3\/13 + 3280224*j**2\/13 = 0.\nAnswer: -1454, -1128, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 5*x**2 + 2*x + 5. Let d be q(-5). Let t(g) be the third derivative of g**4\/24 + g**3\/2 - 2*g**2 - 5. Determine t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/4 + 1633*z**4\/4 - 258155*z**3\/2 + 1762825*z**2\/2 + 2647125*z\/4 - 37861875\/4 = 0. Calculate z.\nAnswer: -1905, -3, 5, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1659 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 2325*j**2 - 6981*j - 24. Calculate z(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/208 - 198\/273?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12141\/1349*(-1)\/(-5)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/41 less than or equal to 7.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463902.\nAnswer: 2, 7, 175993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.69 + 14915.818.\nAnswer: 14917.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1073 - -2.8927. Let v be (-1252)\/(-10) + (-18)\/(-45). Let l = 126 - v. What is the second biggest value in 1\/4, l, -1, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -144 and -280.845?\nAnswer: 136.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116160 = 22*a + 116468. Let n(g) = 12*g**2 + 168*g - 5. Determine n(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1092)\/390*6\/(-28).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/((-180)\/(-270))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((245\/(-245))\/(1*(-2)\/(-8)))\/11.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-398)\/2388)\/(1\/(3*2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z**5)*z)\/z*z)\/(z*z**(-6))*z**(-13\/5)\/z**(-12) assuming z is positive.\nAnswer: z**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -11, 0, 2412 in descending order.\nAnswer: 2412, 0.3, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/596 + 1185\/4172. What is the third biggest value in j, -2, -4, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 322*r = 325*r - 14, -3*r + 12 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12782728413 and 0.123.\nAnswer: 12782728413.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 - 7*n - 34. Determine c(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*v + 11 - 31 - 76*v + 17 + 35*v to q*v + g and give q.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 444, -0.2, 0, 1, 2 in descending order.\nAnswer: 444, 2, 1, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-77)\/(-66)*1\/14*-40?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1)\/6 + (-81 - -80)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/(4\/(-112)). Let b be (7 - 0)*36\/a. Let o(d) = -d**3 - 7*d**2 - 6*d - 6. What is o(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-6)*-2 - 2. Suppose -11 + 1 = g*p. Let z be (13 - 4)*(-1)\/4. Which is greater: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58431 + -2697?\nAnswer: 55734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -304*x - 126. Let i(b) = b**2 - 153*b - 64. Let n(f) = 20*i(f) - 12*z(f). Let n(s) = 0. Calculate s.\nAnswer: -29, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 75. Calculate the highest common divisor of v and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1854 = 3*u, 2*u - 6243 = -5*x - 1619. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*g**4 + 12*g + 4 wrt g?\nAnswer: 2076*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 15*o - 8*o**2 + 6*o**2 + 186 + 14*o - o. Determine y(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 2*f + 12. Let r be t(-4). Sort r, -2, -4, 1 in decreasing order.\nAnswer: r, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 4\/(-12))\/1. Suppose 2*p = -3*p. Suppose p = 4*f + f - 15. Which is the second smallest value? (a) g (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**(12\/5)\/(c\/c**(2\/3))**13 assuming c is positive.\nAnswer: c**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05675 times -0.1?\nAnswer: -0.005675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153468 and 906696.\nAnswer: 78882552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 718469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 9*u**2 - 8*u + 5. Let b be s(7). Suppose -136 = 46*l - b*l. Let r = -64 + l. Calculate 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 (i\/(i*i**(-1)*i*i))**0*(i**(1\/10)\/i)\/(i**(4\/7)*i) assuming i is positive.\nAnswer: i**(-173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302913424.\nAnswer: 2, 11, 149, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-167)\/(-4))\/(-1))\/(-2*(-2)\/(-400))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 15*j + 454. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995697 >= 995640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 10:08 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150872252, -301744503, -452616752, -603488999, -754361244, -905233487, -1056105728?\nAnswer: -1206977967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n\/n**(-2))\/n)*n)\/n)**(-7\/4))**(-18\/5)\/(n**(-1\/2)*n**(-4)*n\/(n\/(n\/(n**1\/n)))*n**(-2\/5)) assuming n is positive.\nAnswer: n**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9822, 19641, 29460, 39279, 49098?\n\"Answer: 9819*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l - 89. Let a be d(-6). Sort 3, a, -120 in ascending order.\nAnswer: -120, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b**2 - 12*b - 7. Let w(d) be the second derivative of d**4\/3 + d**3 + 2*d**2 - 603*d. What is -5*w(a) - 3*z(a)?\nAnswer: a**2 + 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/144*12\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:31 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1428 - -5679\/4. What is the common denominator of 71\/3 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 42*v - 8. Let x(z) = -2*z + 9. Let t be x(-4). List the prime factors of j(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-4)*-9*6\/(-45). Suppose 0 = -2*j - 3*z + 12, 2*j + 5 = 2*z + 7. Suppose d*p = 3*r, -8 = -j*p + 4*r - 3*r. Solve -p*w = -w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 178183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {g: 6, k: 3, s: 2, c: 2, o: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -79?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*w - 26*s, 71331*s - 8 = 16*w - 19*w + 71327*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 + 116.2. Let x = -622 + 621.8. Let u = -10 - -15. Which is the nearest to 2\/19? (a) x (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 1\/8*w**4 + 0*w**2 + 3\/20*w**6 - 1\/28*w**7 + 0*w**3 - 3*w - 9\/40*w**5 + 0. Determine y so that k(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.147 + -0.853. What is the second smallest value in -1, -0.9, v, 1\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2552, -2542, -2526, -2504, -2476?\nAnswer: -2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 82490.\nAnswer: 164980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -21. Let g = -295 + 298. Suppose 7*b = g*b + o. Let i(m) = -2*m**3 + m**2 - m - 2. Calculate i(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -25. Let j(h) = -4*h + h**2 - 2*h**y + 7*h**2 + 0*h**3 - 4 + h**3. Is j(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.57 + -2.17. Let i = o - 3.4. What is the closest to -1 in -2, i, 0.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(104)\/(3*sqrt(8)*-2) + ((-1 + sqrt(39)\/sqrt(3))*-3)**2.\nAnswer: -109*sqrt(13)\/6 + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78 + -5)*(-1 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 - 6*u - 2. Let v(t) = 2*t**2 + 6*t - 5. Let r be v(1). Let d(g) = -4*g**2 + 5*g + 1. Determine r*d(o) + 2*x(o).\nAnswer: -2*o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -97.8. Let m be (-3)\/9 + (-4)\/(-6). Which is the nearest to m? (a) 2\/3 (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79337, 158475, 237613, 316751, 395889, 475027?\nAnswer: 554165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-50)*(-16)\/(-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 2*g**3 + 3*g**2)*(2*g - 1 + 1) - 247*g**4 + 337*g - 337*g + (12 - 12 + 8*g)*(-g**2 + g**2 - 4*g**3).\nAnswer: -283*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:51 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*y**3 + 5*y - 6*y - 17*y - 34*y**3 - 8 to the form q*y**3 + a*y + v*y**2 + t and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 10*f**2 - f + 2. Determine l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/545 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47903.1 years to months.\nAnswer: 574837.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -767 or 2\/9?\nAnswer: -767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**5\/60 - 11*o**4\/24 + o**3 + 37*o**2\/2 + 5. Let c(v) be the second derivative of z(v). What is c(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 476 = 30*r - 62*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - v + 4*v = -3, 4*w = -v + 24. Let z be 50\/18 + (-2)\/(-9). Solve -z*x - 2 = -w*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-450)*27*8\/32*-110.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12977 + 13063. Let c = -0.01 - -0.31. Is v bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13 + 1535*b + b**3 - 1535*b - b**2. Calculate s(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 44, 92, 174, 302, 488, 744?\n\"Answer: 2*d**3 - d**2 + 15*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2*-2 + sqrt(104) - sqrt(104)) + sqrt(104))\/(1*sqrt(16)\/sqrt(2) + sqrt(8)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56334.6 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 r, and 1 v when three letters picked without replacement from {p: 4, f: 2, v: 1, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13ab + -1?\nAnswer: 13aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzziprizzrirrpp. What is prob of picking 1 r, 2 i, and 1 p?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14 + 7*g**2 - 12*g**2 + g**3 + 5*g**2. Let n(c) = c. Let z(v) = -1. Let j(x) = -n(x) - 2*z(x). Let y be j(2). Calculate f(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.046 + -115642\nAnswer: -115642.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 2*s - 3)*(-4*s + 0*s - 6*s) - s - 4*s**2 + s to the form d*s**2 + r*s + h and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 33. Suppose -3*c - 2*c = -5*x + 160, 4*x - 2*c - 118 = 0. Let s = -18 + x. What is the greatest common divisor of s and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*1*sqrt(684))**2 + -5.\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20080953403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -814 - -126172\/155. Are 1 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9269\/11 - -842. Let f = b - -349\/583. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 - -15) - -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1331)*-3*-5)**2 + (sqrt(176)*-2 + 1 + -3)**2.\nAnswer: 32*sqrt(11) + 1198608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Suppose 0 = 534*i - 531*i + 3. Let b be ((-275)\/75)\/(i\/3). What is the greatest common divisor of f and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 + -55 - 0) + 1 + 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 253*w**5\/12 + 625*w**4\/12 + 279*w**2 - w. Find the second derivative of a(r) wrt r.\nAnswer: 2530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/17 (b) -1.4 (c) 0.101 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + 58019*q**3\/2 + 552543156*q**2 + 3285877490720*q - 3223158340219136.\nAnswer: (q - 853)*(q + 19624)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35779944 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j. Suppose -4*a - a + 15 = j. Let d = 18 + -15. Solve -3*w + 13 = 4*z, -d*z = -z - a*w + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - -28579694809?\nAnswer: 28579694754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.05, 0.5, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 5 + g - 5*g + 3. Let z be x(-7). Suppose z*s - 13 = 2. Solve 2*j + 0*j + s*p = 2, 18 = 2*j - 5*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/7560)\/((-18)\/90))\/((-3)\/((-9)\/2))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5*u + 6. Let a be b(4). Let i = 150833 - 150833.1. What is the third biggest value in a, 4, i, -0.8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -354 + -71. Let s = -143 - g. What are the prime factors of s?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-9) - 0)\/((-72)\/108). Suppose 0 = u + u - p - 43, 0 = -u + 5*p + 17. Solve x + 14 = -3*h - 0*x, m*x - u = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15793211 is divided by 6162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35*2\/(-2100))\/(4\/24)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*a + f, 4*a - 3*a - 3*f = 24. Let k(c) = 5*c**3 + 2*c**2 - 3*c. Calculate the remainder when k(2) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/30 and -61\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/36 + 3*x**2\/2 - 18*x. Factor u(k).\nAnswer: -(k - 3)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1469 and 305084?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 16, 44, 94, 172?\n\"Answer: i**3 + 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -925022062372.\nAnswer: 925022062375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 90. Let c = j + -25. Solve 0 = -c*i + i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2)\/(c*c**4*c))**(2\/59) assuming c is positive.\nAnswer: c**(-13\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-2\/5))**(-4\/5)*k\/(k*k\/(k**(-1\/4)*k)*k*k)*k**(-1\/4)*k*(k*k*k*k**(2\/7))**(-16\/7) assuming k is positive.\nAnswer: k**(-22859\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-21)\/18)*(-540)\/(-648)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000342371894 to seven decimal places.\nAnswer: -0.0003424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 1. Let f = y + 10. Let x = 14 + f. Calculate the greatest common divisor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 159535, 319095, 478655, 638215?\n\"Answer: 159560*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114763492 and 592?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 470, 455, 424, 371, 290, 175, 20?\n\"Answer: -c**3 - 2*c**2 - 2*c + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5067709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 17*a**2 + 2*a + 85. Let p(x) = 3*x**2 + 17. Let h(w) = 11*p(w) - 2*t(w). Calculate h(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)*i\/(i*i*i**4\/i*i)*((i**(-1)*i)\/i)**(5\/2) assuming i is positive.\nAnswer: i**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -313 - -579. Does 33 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**3 + 2*q**2 + 158203*q - 13957945.\nAnswer: -6*q**2 + 4*q + 158203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(-75)\/(-6125)*35?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 15*t + 11. Calculate h(-13).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35846387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)*h)**49)**(1\/12)\/((h**(1\/2))**(-4\/25)\/((h\/(h*h**0))\/(h\/((h*h**9)\/h*h)))) assuming h is positive.\nAnswer: h**(19471\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -227133*h**3 + h**2 - 9*h - 8. Is t(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 8*b - 20*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**5 - 4*p**2 + 4. What is the second derivative of n(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186941260?\nAnswer: 2, 5, 11, 849733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 41*b**3 - 1720*b**2 - 84*b = 0.\nAnswer: -2\/41, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -141885.875.\nAnswer: -141886.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose -h*z + 12 = -8. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -264*x**2 + 62 wrt x?\nAnswer: -528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.9 + -19. Let j = f + -4. Let t = j - 2.9. Sort t, 0, 1\/5.\nAnswer: t, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, -5040, -19036, -46334, -91368, -158572, -252380, -377226?\nAnswer: -537544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300593193?\nAnswer: 3, 100197731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 0.056.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4909 - -4911. Let c(h) be the first derivative of -4*h + 0*h**w + 7 + 4\/3*h**3. What is the derivative of c(d) wrt d?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 65. Let m be (-130)\/(-8) + (-1)\/4. Solve a - m = r*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.97 + 3. Which is the biggest value? (a) -2\/7 (b) k (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = 8*v - 24*d + 33, 34 = 5*v - d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 14. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 6) to base 16\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z + 4. Let p(t) = -10*t**3 - 2*t**2 - 5*t. Let w(k) = k**3 + k**2 - k. Let a(f) = z*p(f) - 5*w(f). Find the third derivative of a(q) wrt q.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16241 <= 16242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/((g*g\/g**(-2))\/g))\/((g\/(g\/g**4))\/(g\/(g**(-5)*g*g))))**(-6) assuming g is positive.\nAnswer: g**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15576 = -392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7090*s**2 + s**3 + 1 + 3*s - 4*s + 7091*s**2. Suppose -24*j - 58 = -53*j. Let o(w) = -3*w**3 - 2*w**2 + w - 1. Calculate j*o(b) + 2*g(b).\nAnswer: -4*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 0.3. Let r = h - 1. What is the third biggest value in -1\/7, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h**5 + 2*h)*(-334 + 35 - 665 + (-3 + 1 + 3)*(4 + 2 - 4)).\nAnswer: 1924*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47140193, 47140192, 47140191, 47140190?\n\"Answer: -b + 47140194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 61. Let m(p) = 4*p - 113. Let t(o) = -6*m(o) + 11*q(o). Let u(z) = -z. Determine t(u(v)).\nAnswer: -9*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2569967 and 2629?\nAnswer: 28269637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5. Suppose r - 3 = -z. Suppose -18*i + 17*i + 7 = 0. Solve -15 = -3*j, -r*a + i*a + 3*j = 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*w = -3*v + 19303 - 19499, -v + 4*w - 28 = 0 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3695.4651481 - -3673.545146311. Let h = 21.92 + c. Round h to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 7*h + 3*h**2 - 11 - 2*h**2. Let a be k(-11). Let j = a - -23. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667 = -1594*t + 8043 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of ((-630)\/54)\/(2\/3)*-28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 404157023.6 to the nearest ten thousand.\nAnswer: 404160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -119, -231, -343?\n\"Answer: -112*y + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221103 - -3?\nAnswer: -12221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 7) to base 15\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163 (base 10) to base 7.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 9. Let g(k) = -9918*k + 45. What is -g(x) + 5*t(x)?\nAnswer: 9933*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 2. Calculate t(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1092 divided by -364.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157980 is divided by 806.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37288*i**3 - 74604*i**2 - 37344*i - 28.\nAnswer: -4*(i + 1)**2*(9322*i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2\/11 (b) -1\/4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10746 = 11066. Solve 2*u = 22*u - v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57657 or 57650?\nAnswer: 57650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 + 2*p. Let x be b(-3). Let r = -31 + 34. Solve x = a - 4*i, 0 - r = -a + 3*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jjttttjttttjtjtjtttt?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011053 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -22 - -49 - -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 113 (b) -0.046 (c) -27746\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2. Let b(i) = 1. Let c(g) = 5*b(g) + 3*u(g). Suppose 2 = 3*s - 4. Let x(o) = -o**2 + 2. Calculate s*c(w) + x(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -7.99\nAnswer: -4.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 92881.73nm?\nAnswer: 0.00009288173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 8. Let n be (2\/6)\/((-1)\/(-33)*-1). Let y be o(n). Differentiate -304*q**3 - 21 - 1 + 319*q**y with respect to q.\nAnswer: 45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 - 14*r**3 - 12*r**2 + 64*r + 64 = 0. Calculate r.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*5\/(95\/19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/888 and 101\/515928?\nAnswer: 515928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1077 - 1027. Calculate the smallest common multiple of q and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*13\/(312\/54).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, v: 2, m: 8}. What is prob of picking 1 m and 2 g?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2229532524 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 177968623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v, 2*b + 2*b - 40 = 4*v. Factor 5*u + 30 + b*u + 10*u**2 + 20*u - 5*u**2.\nAnswer: 5*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*x - 38*x - 47*x - 274 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {e: 8, d: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6752102.\nAnswer: 2, 7, 68899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4002\/11 - 112353\/308. Calculate the common denominator of d and -33\/424.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2514*n*q**4 - 963*n - 2*q**4 wrt q.\nAnswer: -10056*n*q**3 - 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14844 divided by -4.\nAnswer: 3711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*g - 5*r - 5, 2*g + 5*r = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 12*x - 4. Suppose -x*w - 3 = -7. Suppose -s = -w*s + 45. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11. Let u(s) = s - 12. What is 6*g(v) + 5*u(v)?\nAnswer: 5*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 40, 65?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 12 (c) 31 (d) -1\/4 (e) -815 (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 34, -8111?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 18. Suppose -f*s + 3*k - 3 = 6*k, -3*s - 2*k - 2 = 0. Let z = -6122\/15 + 408. Is z at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-11) + 2 - 72\/33. Let m be 3 + k\/(-6)*-3. Solve x + 1 = n, -6*x = -x + m*n + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/5 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 54 = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*z - 35*z + 27*z)*(-1 + 0 + 8) + z - 4*z + z.\nAnswer: 124*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Suppose -4 = z - b. Let c = 1 - z. Solve 3*o + 7 = 4*a, 0 = -o - c - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -410989.7 times -0.2\nAnswer: 82197.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 84. Let u(t) = 5*t**3 + 13*t**2 - 12*t - 32. Let x(j) = 6*j**3 + 13*j**2 - 11*j - 31. Let d(z) = s*x(z) - 7*u(z). List the prime factors of d(12).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -375047*k + 4125546. What is n(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 216746123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -574 - -270. Let s = z - -921. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 95136 + -83?\nAnswer: 95083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (4 - 7)) + -2 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 24*v**3 - 35 + 108 - 40.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/81318912 and -79\/3598?\nAnswer: 569232384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 + -67. Suppose -h*g + 26*g = -22. Suppose -6*t - 130 = -g*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 6. Let t = 0.6 - 0.6. What is the closest to t in -3, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*a + v - 34 = 179*a, -a = -4*v + 10 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c + 3858 = 87*c. What are the prime factors of c?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 - -34713\nAnswer: 34525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46633 - 27356. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*t + 45. Let d = -9 - t. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/((-12)\/(-3))*((-675)\/(-27))\/(-750))\/(-12)\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010101100101 (base 2) in base 16?\nAnswer: 6565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90187.77 decades to millennia.\nAnswer: 901.8777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -19) + -3 + -27 + 31\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 228277 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 709 or 6\/11855?\nAnswer: 709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnnkgynggnntt. What is prob of picking 1 g, 1 k, and 1 y?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6123208, -12246582, -18369956, -24493330?\n\"Answer: -6123374*b + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -38*w**2. Suppose -24 = 4*b - 3*b + 5*u, 4*b = 2*u + 14. Let p(t) = 2*t. Let i(z) = -2*z. Let v(o) = b*p(o) + 4*i(o). Give v(r(d)).\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, w: 2, o: 7}. What is prob of picking 1 l and 1 o?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 2, o: 1, u: 3, k: 4}. Give prob of sequence lul.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 4:12 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110111110001 + 1101?\nAnswer: -110110111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 - 5. Let w = -2 + 9. Let r(m) = m**2 - 117*m - 1129. Let p be r(-9). Sort p, w, l.\nAnswer: l, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3566*b - 3566*b - 145*b**2 + (-4*b + b + 2*b)*(2*b + b + 0*b) as w*b**2 + h*b + l and give w.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -10. Let s = z + -26. Let -2\/9*h - 2\/9*h**s + 0 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.748 and 0.5?\nAnswer: 0.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86960 is divided by 69.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 1\/2*n**3 + 0 - 7\/2*n**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18604 + 18603. Which is the nearest to q? (a) 2706 (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20489357 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*i - 20, 27*l + 20 = 5*i + 23*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*1\/((-3233)\/(-212)).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j + 1. Suppose 0*o + 2*o + j*s = -4, 3*s = -12. Calculate the remainder when 4 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/15)*p**(-1\/2))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 36.78. Let j = r + 0.02. Let m = j + -0.32. Sort -3, 3, m.\nAnswer: -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13203\/7 + (-400)\/350?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-15)\/(-6)*1. Suppose 0 = -s + c + 4, 4 = 3*s + o*c - 8. Suppose -12 = -s*p + 8. Solve -p*k + 4 = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from xqxqqnnqqxxxx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3\/(-2)) - 11. Let l be (-4)\/(-6) - q\/3. Let u(s) = -s**2 + 5*s + 2. Let y be u(l). What is the highest common divisor of y and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (11 - (88 + -39))) + -107?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93, 182, 269, 354, 437, 518, 597?\n\"Answer: -s**2 + 92*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -56*u - 11. What is the units digit of q(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 655, 2841, 6559, 11809, 18591?\n\"Answer: 766*h**2 - 112*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15863, 31732, 47601, 63470, 79339?\nAnswer: 95208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296536.\nAnswer: 2, 101, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 57706?\nAnswer: 57705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -147 + 399. Let z = 37 + u. Let j be (963000\/z)\/((-1)\/50). Round j to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {p: 3, h: 5, d: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2336\/26 + (-6)\/(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007525506 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) 1\/4 (c) -0.5 (d) -0.2 (e) 122\/9 (f) -7\/6 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 196 - 131. Let f = 847\/13 - k. Let l = 0.21 - 0.31. Which is the nearest to 2? (a) f (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -709, -1055, -1409, -1777, -2165, -2579, -3025?\nAnswer: -3509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, -1\/9, 136, 2\/5, -0.137?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2 + 9344*j + 10913792 = 0.\nAnswer: -2336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 8*g**2 - 5*g - 11. Suppose 0 = -3*v - 4*w - 8, 5*v + 10*w = 5*w - 20. Calculate a(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 17 - 55 - x + 14 - 5*x + 2*x - 4.\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 1. Which is the smallest value? (a) y (b) -4\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -44096.9.\nAnswer: -176387.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = r - 10, -2*k - k + 25 = 2*r. Suppose k*x + 119 = -381. What is x rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/10)*g\/(g\/(g\/(g**5\/g))))\/(g*g*g*(g\/g**(4\/3))\/g*g*g**(-6)) assuming g is positive.\nAnswer: g**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8196906 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 622*i**5 - 4*i**4 + 110*i**3*u - 22*i - 114*u - 80 wrt i?\nAnswer: 12440*i**3 - 48*i**2 + 660*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 5*y**6\/12 - 3*y**4\/8 - y**3\/6 + 3*y**2. What is the second derivative of f(v) wrt v?\nAnswer: 300*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 956 = 1494. Let q = k + -450. Which is bigger: q or -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - 2. Let s = -262\/3 + 88. Let y be -3 + 3 + 3\/(-4). Sort y, s, i.\nAnswer: y, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433113 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-219)\/12 + (-1 - 0) and 79\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*y - 20. Suppose 3*p - 76 = y*u, 148 = 5*p - u - 2*u. Calculate the remainder when ((-21)\/(-6))\/((-2)\/(-216)*3) is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/3)*m\/(m\/((m*m**(-2\/3))\/m))*(m\/m**0)\/m**(-2\/11) assuming m is positive.\nAnswer: m**(28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12732531 (base 8) in base 2?\nAnswer: 1010111011010101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 17, -18 in ascending order.\nAnswer: -18, 2, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 4. Suppose 0 = 4*l + 7 + 13. Let x be d(l). Let j = x - -18. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 10:02 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*a - 0*m + 252, 0 = a + 5*m - 65. Is 40 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 4*k + 300, 5*k - 439 = -3*m. Is 150 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/28906 and -11\/144530.\nAnswer: 144530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 3. Let w be u(8). Suppose -w*m - 104000 = -m. What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 10 - 2. Solve 0 = c + 5*r + 22, m*c = -r + 2 - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 8*w**7\/315 + 7*w**6\/45 + 19*w**5\/60 + 19*w**4\/72 + w**3\/9 - 13*w**2. Solve b(u) = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 30 = -f - 4*f, -4*f = -2*d - 18. Suppose 2 = 6*j - 22. Suppose -a - j = -f*a. Solve 4 = 3*x - a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8418, -33659, -75728, -134625, -210350?\nAnswer: -302903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y - 3*y + 4*y)*(-61 + 61 - 275*y) to the form w + l*y + t*y**2 and give t.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1974413 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 819, 3, -18, 146 in descending order.\nAnswer: 819, 146, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 1\/180*w**5 - 1\/2*w**2 + 0 - 2*w - 1\/36*w**4 + 1\/18*w**3. Let j(s) be the first derivative of d(s). Factor j(c).\nAnswer: (c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8*j = 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 30. Let f be (4 - 5)\/((-2)\/(-1290)). Is 13 a factor of 3\/6 - f\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -8. Let a = 22 - 9. Let j = -9 + a. Calculate the least common multiple of j and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20)\/s**2)\/(s*s**(-12)*s*s*s*s*s**7))**(-3) assuming s is positive.\nAnswer: s**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0\/p)**(1\/4)\/(p**0*p)**(-4\/29) assuming p is positive.\nAnswer: p**(4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2.8, 0.21, -0.3, -2\/13 in decreasing order.\nAnswer: 0.21, 0, -2\/13, -0.3, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 104, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148.5 - 148. Suppose -4 = 2*t - 14. What is the second biggest value in t, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -44*l + 83. Suppose -88*k - 12 = 2*i - 84*k, 3*i - 18 = 3*k. Determine g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2029403714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -16044?\nAnswer: 16045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -12*v - 219. Put 2\/5, v, 0.8 in decreasing order.\nAnswer: 0.8, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16938475 is divided by 128?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21561, 21562, 21563?\n\"Answer: o + 21560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1458543*v**3 - 4543063*v**2?\nAnswer: -8751258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15861868.47ns to weeks.\nAnswer: 0.000000026226634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3*(-5)\/(-10). Solve i = w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + n - 3)*(3 - 3 - 2*n)*(0 + 2 + 1)*(8*n - 2*n - 2*n)*(-95 + 63 + 46) as x*n + f + y*n**2 + t*n**3 and give t.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-3)\/(-10)). Suppose 2*r = -3*f + 341, 3*r - g*f = 296 + 263. Suppose 0 = 2*v + r + 382. What is v rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1099455492 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 4. Let i(j) = 29*j**2 + 23*j**2 - 54*j**k. Let p(q) = -4*q. Calculate i(p(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2453 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 1098 + 1023 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 4658774.\nAnswer: 4658774.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14731 is divided by 179.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -703.8327 to 1 decimal place.\nAnswer: -703.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 + 128. Let o = -5 - 0. Sort 0.4, s, o.\nAnswer: o, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1577*p**4 - 2472 wrt p.\nAnswer: -6308*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2. Let t(a) = 380*a**2 - 2*a. Determine t(l(v)).\nAnswer: 3420*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46450 + 2?\nAnswer: -46446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/4)\/((-753)\/(-5020))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c8 (base 16) in base 12?\nAnswer: -1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -635063 + 55?\nAnswer: -635005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*u - 3*l - 9, u - 3*l = 7. Solve -u = -5*b - 4*w, w + 2 = -w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294 - -293.99443. Let j = w - -0.006. Round j to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2177579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -13*n + 8*n. Differentiate 35*b + 18*b + 18 + n*b - 32*b with respect to b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 - 0) - (44 + -49 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*g**2 + 6*g**3 + 272*g**2 + 267*g**2 - 1074*g**2 + g**3 + 265*g**2.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 24*f**2 + 48*f + 53. Is m(30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6224442 or 0?\nAnswer: -5\/6224442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 32*v + 45 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1900, 3794, 5688, 7582, 9476?\nAnswer: 11370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 60, 90, 120, 150, 180?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4098259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/21)\/(17\/119). Suppose 5*j - 3*u + 24 = 0, -2*j - 1 - 11 = -2*u. What is the closest to j in c, 2\/15, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 311*q**2 + 2992*q - 4388. Calculate w(-301).\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 4:59 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 1 + 93*d + 79*d**4 + 42*d**4 - 123*d**4 to n*d + m*d**4 + h + y*d**3 + t*d**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 61. Solve a = 3*f - 8*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*q + 102, 5*q - 98*u = -97*u + 86 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1983742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 + 132. Let n = -21 - f. What is the closest to -1 in 0.7, n, 1\/2, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-3 + 2))*-1. Suppose 80 - 8 = 4*b. Solve -4*u + 3*y - b = v, 4*y - 16 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16351, -16365, -16367, -16351, -16311?\n\"Answer: h**3 - 21*h - 16331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(-2 + sqrt(5) + -3) + -5.\nAnswer: -25 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4\/4 - 43865*i**3\/4 + 825820*i**2 + 3434915*i + 3478800 = 0.\nAnswer: -2, 80, 8697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2 - 2)*(u - 5*u + 3*u) + (5*u**2 - 2 + 1 - 1)*(1 - 4 + 5).\nAnswer: 11*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611951 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -72*u**2. Let w(f) = -21838*f. What is v(w(x))?\nAnswer: -34336673568*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19687 is divided by 1787?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -249)*(-4 - 0)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1621 and 10609.\nAnswer: -17197189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*i + 16, 0*n + i - 13 = -2*n. Find the second derivative of 3*w**4 + 0*w**4 - n*w**4 + w**4 - 4*w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 0)*(-2)\/(-4). What is the common denominator of x*((-63)\/32)\/1 and -1 - (14\/40 + 2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2933, 2942, 2951, 2960?\nAnswer: 2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*s - 111 wrt s.\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from bbbarrbbbbbbbrrbr?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4149.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34527 - -78587. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3808434 - -6829390. Let t be k\/24 - 1\/6. Suppose -16*c - t - 29327 = 0. Round c to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = 2*n. Let f(a) = -a**2 - 10*a - 2. Is f(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + p - 2*p = 9, 18 = 2*n + 4*p. Suppose 4*x = n*x - 12. Let z = x - -19. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -3 in descending order.\nAnswer: 4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 53. Let m(d) = 11*d + 7*d - 16*d. Give h(m(w)).\nAnswer: 2*w - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c + 12. Let q be 51\/24 - 5\/40. Let m be s(q). What is the highest common factor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14*(1\/(-2) - (16 + -70)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6619, -13227, -19819, -26389, -32931, -39439?\n\"Answer: k**3 + 2*k**2 - 6621*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -24 - 7) + 36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3271\/662 or 4?\nAnswer: 3271\/662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242.798 + -243. Let j = c + 0.20200262. What is j rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272251 is divided by 8782?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(4 + 236\/(-56)). Let i(q) = 14*q**2 - 7 - 10 + 5*q - q**3 - 1. What are the prime factors of i(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most as big as 3873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/407 (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1000 and 4500.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 - 6 + 6 - 12 + (2 - 3 + 3)*(-4 + 2 + 1) - 2 + 0 + 4 + 2 + 1 - 2)*(1 - 1 + 2*p)*(-2 - 1 - 5*p + 1).\nAnswer: 90*p**2 + 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -40*u**3 + 18032*u**2 + 18076*u + 4500. Let o(t) = 13*t**3 - 6010*t**2 - 6025*t - 1499. Let g(q) = 3*m(q) + 8*o(q). Find w, given that g(w) = 0.\nAnswer: -1\/2, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10206 and 45.\nAnswer: 51030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11996?\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 + -101. Suppose 2*r - 207 = d, 4*r + d - g = 111. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 8. Let p be o(-4). Solve -36*y**2 + 36*y**2 + 6*y**p - y**4 + 20*y**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264062892.\nAnswer: 2, 3, 22005241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 27937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 + -10*(-4)\/8 - 1. Let v(u) = u**3 + 5*u**2 + 14. Calculate v(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 903959 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 4, -8, -9 in decreasing order.\nAnswer: 13, 4, 2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)\/(q\/(q*q*q**(-6)*q))*q**(-1\/15)*q**(-2\/9) assuming q is positive.\nAnswer: q**(-283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2 + 30\/24. What is the closest to x in 0.3, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25105536 - 352*q - 25105536.\nAnswer: -352*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7110 - 0\nAnswer: -7110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 - 493*k**4 - 686*k**2*r + 118*k*r - 1096*r wrt k?\nAnswer: 40*k**3 - 5916*k**2 - 1372*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29\/(1305\/(-18))*5\/(-24). Let s(w) be the third derivative of 0*w**3 - q*w**4 + 0 + 7*w**2 + 0*w. Let u(m) = 11*m. Give s(u(p)).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26584*43068\nAnswer: -1144919712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305\/66 - -60\/11. What is the second smallest value in -1, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12024 + -1?\nAnswer: 12023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19326831 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 5*r + 80. Let y be ((-6)\/3 - (3 + r)) + 20. Calculate the highest common divisor of y and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - -3.4. Let k = s + -4. Let o = k - -0.3. Is o not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r = 5*h - 48, -h = 5*r - 60. Let q be -686 + (16\/(-128) - 50\/(-16)). Let y = 686 + q. Solve -2*i - y*x = i - r, 0 = -3*i + 4*x - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/47, -4, 4175, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:16 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 53 = -339. What is the remainder when 105 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7459 or 7460?\nAnswer: 7460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + 34\/8. Suppose u*f + d - 8 = 0, 4*f - 6*d + 3*d = 8. Find p such that 0*p + 0 - 1\/3*p**f = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 + 3 + (-3 - -1) + -17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -58, -137.77 in ascending order.\nAnswer: -137.77, -58, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**5\/7 + 12*o**4\/7 - 488*o**3\/7 - 1920*o**2\/7 + 5632*o\/7 = 0?\nAnswer: -8, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5*1\/(-1))\/(-3 - -2). Which is the smallest value? (a) 0 (b) -3 (c) w (d) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 1671 = 5*g - 4*z, -4*g - 3*z = -1343. Suppose 58*t + g = 63*t. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*q - 94, 3*v - 25 = 3*q + 53. Solve 0 = -5*h + v - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 18129\/2312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - -0.19. Let f = -122.528 - -122.278708. Let x = a + f. What is x rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/(-45)*-3). Let i(s) = s + 9. Let t be i(q). Let x be (8\/(-2) + t)\/2. Solve x*f - 5*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -10*k - 21. Let l = 1.5 + -2. Let o = l - -1. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 9*a - 3 + 5.\nAnswer: 9*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894758313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -130, -131?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*f + 20, -2*a - f = -31 + 40. Let c(h) be the second derivative of h**3\/6 + 7*h**2\/2 - 5*h - 2. What is c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/(-24) - 2\/3. Let z(i) = 3 + 4*i + 5*i - r*i**2 + 3*i**2. Find the common denominator of 41\/10 and z(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 8*k - 40. Suppose -j - 3*w = -2*j + k, 3*j = w + 15. What is the closest to 0.2 in -2\/17, j, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -27*n - 31*n + 63*n + 31*n - 34*n. Let g(j) = 28*j**2 + 3. Let k(d) = -27*d**2 - 4. Let t(x) = -4*g(x) - 3*k(x). What is t(p(h))?\nAnswer: -124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17791 - 0.32211. Let x = -4 + 3.5. Let s = x - k. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 15, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -2. Let l = y + -2. Let q = 21.018 - l. Round q to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/((-12)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*v + 420, 18*v + 5*c = 13*v + 520. Let o be (v - -6) + 3 + 3. Calculate the greatest common divisor of o and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1398472*a + 1397752*a - 2796226*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -525*w**3 - 5776*w**2 - 11*w.\nAnswer: -w*(w + 11)*(525*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 41*n**3 + 3*n**2 + n - 22. Determine s(2).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 5*d - 27. Let f be (-21)\/(-1*3\/4). Suppose -253 = -5*b - f. Calculate the highest common divisor of d and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 203313020?\nAnswer: -203313021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 580, 1188, 1782, 2356, 2904, 3420, 3898?\nAnswer: 4332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2 + r**3 + 5*r - 11*r + 16*r - 9*r**2. Let b be n(8). What is the second derivative of 0*h - b*h**3 + h - 2*h wrt h?\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10760*h**2 - 2146*h**2 - 8610*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -9 + (-12)\/(-10)*175\/56.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/14, -2\/3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*p + 670, -4*b + 47 = 3*p - 446. Let d be (2 + (-837)\/5)*-1. Let j = d - p. Find the common denominator of 29\/2 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 110 and -7?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-4 - (-4 - (-3 + 4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -20, -35?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 0.1 (b) 2 (c) 2\/61 (d) -13 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**4\/3 - 41*f. Let p(z) = 5*z**2 + 3*z. Let x(k) = -21*k**2 - 13*k. Let h(t) = -26*p(t) - 6*x(t). Determine o(h(l)).\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418815 to the power of 1\/2, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -640, -983, -1340, -1717, -2120, -2555?\nAnswer: -3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19184, -0.34, -19?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 81\/(-4) + 33\/132. Let p be l\/6*12\/16*2. Let f be p - (1 - 1) - -18. Solve 0*n + 4*n + 3*v + 14 = 0, 3*n + v = -f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(6\/16). Let h be (-1)\/(-5)*-2*5. Suppose 0 = -8*a + 3*a. Put h, k, a in increasing order.\nAnswer: k, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jej when three letters picked without replacement from {j: 7, e: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7544428 is divided by 12595?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2585151 is divided by 683.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 - -2.60128. What is o rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1197 and 3059.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 605967403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*p = -16*p + 1440 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -75352759.\nAnswer: 22605827.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 - 128*h - 681. Calculate the remainder when 5165 is divided by u(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/((w\/(w**(-1\/6)*w))\/w))\/w)*w))**(-17)\/((w\/(((w\/w**(-14))\/w)\/w))\/w*w**(-17)) assuming w is positive.\nAnswer: w**(197\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 0*d + 0*d + 53*d**2.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*n - 183 = -4*n - 13665 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z + 20. Determine v(-21).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 482 (b) 1.3 (c) 0.5 (d) 1\/5 (e) -3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 6, y: 5}. Give prob of sequence dy.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/5)\/2*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-19)\/4)\/(378\/1008). Let g be (-92)\/a + 9\/(-45). Which is greater: g or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7037\/9 + -781. Let b = -4\/155 - -1276\/1395. Determine k so that -2\/9*k**2 - b - l*k = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 5*o - 4. Suppose a = 3*a - 10. Let g be ((-2)\/(-4))\/(1\/4). Let k = a - g. Calculate r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - u - 3*u**2 - 3 - 3*u. Suppose 8*g = 91 - 75. Let o(n) = -34 + 15 - n + 9 + 9. Calculate g*k(x) - 9*o(x).\nAnswer: 2*x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -3\/20 (c) 3\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) 24 (c) 19.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from szuev?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + 4*g - 2*g)*(1 - 3 + 1) + 18*g - 7*g - 7*g)*((2 + 3 - 4)*(3 - 6 + 4) + 0 - 2 + 3).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 5, 1, -1, -4 in increasing order.\nAnswer: -4, -1, 1, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -301023 (base 4) to base 7\nAnswer: -12114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2505283, 2505288, 2505293, 2505298?\n\"Answer: 5*j + 2505278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011110110100101001 (base 2) in base 12?\nAnswer: -380209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + 99 + -64 + -25?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rru when three letters picked without replacement from ururr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 99565, 199025, 298467, 397885, 497273, 596625?\n\"Answer: -j**3 - 3*j**2 + 99476*j + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 494398 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -240, -358?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*(-3*sqrt(22) - sqrt(22)) + sqrt(22))\/(3*(sqrt(72) - sqrt(2))) - (-4*-1*(1*sqrt(704) - -1*sqrt(539)))**2).\nAnswer: -158400 + 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*w + 52, 2*w - 16 = -3*c - 0*w. Let o(f) = f**2 - 15*f + 39. Let z be o(12). Factor -c*a**z - 4*a**3 + 41*a - 44*a - 12*a**2.\nAnswer: -3*a*(2*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 - 2*l**2 - 28. Let u(b) = -7*b**3 - 5*b**2 - 2*b - 56. Let c(f) = -9*s(f) + 5*u(f). Determine c(9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -363 - 1482. Calculate the remainder when a is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 - 7*c + 153. Calculate d(11).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -120. Suppose 5*z = -k - 17, 0 = 27*k - 29*k + 4*z - 118. Which is bigger: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 6. Is a(12) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*q = 6 + 3, -5 = 4*t + 3*q. Sort t, 1, -12, -3.\nAnswer: -12, -3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 60 = 4*v - 706, 5*u = -4*v + 1591. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(3 + 2\/(-1)*1). Solve 2*u + 4*c - k - 5 = 0, 5*u - 19 = -4*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24395, 97980, 220759, 392732, 613899, 884260, 1203815?\nAnswer: 1572564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242224 + 484438 - 30*v**2 + 78*v**2 - 242214.\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:55 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:17 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -44772, 5, 18, -5 in descending order.\nAnswer: 18, 5, 3, -4, -5, -44772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 6:55 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 126, 199?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 346?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -372.999999582 - -373. Round y to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -101?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v + 51 - 495 = 420 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 188. Let y(x) = 36*x**2. Give y(z(s)).\nAnswer: 324*s**2 - 40608*s + 1272384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 0.7. Which is the nearest to 1? (a) u (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/23)*z*z**(-1\/26)*(((((z**(-3)*z)\/z)\/z*z)\/z)\/z*z)**(-39) assuming z is positive.\nAnswer: z**(93915\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-4))\/3*-28. Suppose 3*r - r - 2*l - 14 = 0, 0 = 2*r - l - 10. Suppose 4*h + 12 = 3*v - 15, 2*h = r*v - t. Round v to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 12 = 3*k. Let j = k - 3. Let y be -4*(j + (-3)\/2). Put y, 0, -3 in ascending order.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*b - 425, -4*b + 5*a + 311 = -550. Let o = b - 215. Which is greater: o or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2*(-1)\/(-14))\/(111\/(-8547)))\/(-2)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 17900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 + 59652*a - 298360 = 0. Calculate a.\nAnswer: -14918, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 47*u + 3. Let d(s) = 23*s + 1. Calculate 2*c(l) - 5*d(l).\nAnswer: -21*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77253 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(-4 + sqrt(320) + -1))**2 + (-5 + (2*sqrt(320) - sqrt(320)) + 4 + sqrt(320) + (-3 + sqrt(320)*2 - sqrt(320)) + sqrt(320) + sqrt(320))**2.\nAnswer: -2880*sqrt(5) + 19056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*w, 171 - 177 = -3*w + 3*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 9\/(252\/329).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -521783813 and 9.\nAnswer: -521783804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vwwvwwwwwww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*z - 185*z = 20. Suppose -11*y = -15*y + z. Solve 2*c + 18 = -2*n, -y = 3*n - 4*c - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 13*n - 1224 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 25, 5, -35, -101?\n\"Answer: -k**3 - k**2 + 4*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 20*z**2 - 15*z.\nAnswer: -5*z*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p**3 + 3*p - 4*p**3 + 2*p**3 + p**3 + (4 - 4 + 2*p**2)*(2*p - 3*p + 0*p))*(-18 - 14 - 35).\nAnswer: 268*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.2 * -169.5.\nAnswer: -8169.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15184\/6765 + -12\/205. What is the common denominator of 67\/45 and c?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*3*sqrt(153)*-1)\/((3*sqrt(900) - sqrt(900))*1))**2.\nAnswer: 153\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83039 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 12 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17352, -17855, -18358, -18861?\n\"Answer: -503*y - 16849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -101567445?\nAnswer: 101567441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1535*f**3 - 432*f**2 - 54*f + 10. Let p(d) = -d**3 + 2*d**2 - 6*d + 1. Let j(z) = -2*h(z) + 18*p(z). Find the third derivative of j(a) wrt a.\nAnswer: -18528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -41, 0.14, 4, -3.\nAnswer: -41, -3, -0.3, 0.14, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262920261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101600 (base 7) in base 2?\nAnswer: -100010000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 76.01464 millilitres to litres.\nAnswer: 0.07601464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 722237*j*p**3 + 41*j*p**2 - 2*j + 9*p**2 - p + 4 wrt p.\nAnswer: 4333422*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/647 or -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44762036047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303668761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-5)\/((-10)\/(-8)). What is the tens digit of (1 + -7)\/((-6)\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + -11. Sort i, -2, 4 in descending order.\nAnswer: 4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -208\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1854000516*a**2 + 1854000516*a**2 - 4*a**3 + 8*a - 3 + 2.\nAnswer: -4*a**3 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 686524 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a139 (base 16) to base 4\nAnswer: 22010321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + p + 2. Let k be c(0). Differentiate 4 - 6*g**2 + 0*g**k - g**2 - 3 wrt g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9589a (base 12) in base 5?\nAnswer: -1222334221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664028031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 9*b + 2. Let j be v(4). Suppose -3*f + j = 4*m - 64, f + m = 30. Suppose -5*z = -2*z - 36. Calculate the remainder when f is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a microgram in nanograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:40 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 49 = -2*r, -2*r + 4*p = r - 91. Let s = r - -109. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -830, -3763, -8646, -15473, -24238, -34935?\n\"Answer: p**3 - 981*p**2 + 3*p + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008421 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1747 - 1?\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 98.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -140*q + 4588. What are the prime factors of l(-5)?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.26 - 7.28002. Let h = y + 0.02. What is h rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 13 - 6)*(35*z + 51*z - 18*z) in the form x + k*z and give k.\nAnswer: 1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-42))\/(12\/(-63)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/6 + 5*j\/3 + 5\/2.\nAnswer: -5*(j - 3)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2133917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 65*q**3\/3 + 5*q**2\/2 - 10*q. Let y(u) = 129*u + 5. Let x(m) = -6*k(m) + 5*y(m). What is the tens digit of x(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1839438 and 27\/817528?\nAnswer: 7357752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*v**3 - 2664*v**2 + 7900592*v wrt v.\nAnswer: 402*v - 5328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x**5 - 6*x**4 + 6*x**2 + 18*x + 6. Let p(m) = -m**5 + m**4 - m**2 - m - 1. Let s(c) = -j(c) - 6*p(c). What is the second derivative of s(q) wrt q?\nAnswer: -220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 5 - 2 + 0 + 0 + (3 - 2 - 2)*(3 + 0 - 1) + 0 + 1 - 2)*(j + j + 0*j) to f + z*j and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -1679*w**7\/42 + 529*w**3\/6 - 653*w. What is the second derivative of v(p) wrt p?\nAnswer: -33580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - -3) + (-12)\/21)\/(-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/201 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, d: 3, l: 4}. Give prob of picking 1 l and 3 t.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 751878a + -2?\nAnswer: 7518788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3, 0.2468, -1, 18, 0.4, 109?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 11) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4878*z - 200 = -4882*z. Calculate the least common multiple of 50 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (12 + -19) - -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 228 - 849. Calculate the greatest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 17 - 7)*(14*c**2 - 4*c**4 + 6*c**4 - 12*c**2)*(-c - 2*c + 11*c + (-2*c + 4 - 4)*(0 + 1 + 1)).\nAnswer: 40*c**5 + 40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*q - 24, -i = -2*q + 3*i + 12. Suppose -2*b = 3*b - q. What is the closest to b in 5, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33, -64, -95, -126, -157, -188?\n\"Answer: -31*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -695385 at least -695386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 2)*0\/(-5). Solve -5*j = 4*k + 7, -j = -3*k - b*j + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:32 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = 0, x - 2*q = -5*q - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(5\/3))**31\/(((o\/(o**18*o))\/o)\/o*o**(-10)))**(2\/19) assuming o is positive.\nAnswer: o**(490\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 101\/3)*2\/8. Let u = j + 9. What is the closest to 3 in -0.4, u, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583 divided by 583.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwfn when four letters picked without replacement from whqaqnfwawaw?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879.749*-2.\nAnswer: -1759.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 28*o**2 - 7*o + 262. Give q(-25).\nAnswer: 2312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmgggjgoj. What is prob of sequence jom?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xulc when four letters picked without replacement from {q: 1, x: 7, l: 5, u: 1, c: 2}?\nAnswer: 1\/624","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**6\/360 + b**4\/2 - b. Let t(l) be the third derivative of g(l). Let x(p) = 4*p. Calculate x(t(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**3 + 22 - 588*w**2 + 588*w**2.\nAnswer: 23*w**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -526, -3, -4, 4 in increasing order.\nAnswer: -526, -4, -3, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(56) + sqrt(56)*-1) - (sqrt(168)*1 - sqrt(168))\/sqrt(3))\/(-5*(sqrt(8) + (sqrt(96) - (sqrt(96) - sqrt(96)*-2))\/sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.659785 to two decimal places.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*h + 132, 0 = -3*h - 5*q - 37 + 124. Let s(d) = 6*d - 6. Calculate the lowest common multiple of s(5) and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12.052. Let q = 0.552 + -0.91. Let n = q + m. Round n to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(605) + -1 - sqrt(605) - (-3*1*sqrt(605) - sqrt(605))) + 0)**2 + 1*(sqrt(320)*-2)**2*3*2.\nAnswer: -110*sqrt(5) + 22806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -111. Suppose -b - 2*o + 124 = -180, -1506 = -d*b + 4*o. What are the prime factors of b?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.6534131 to the nearest integer.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 48978 = -33090 + 22568. What is the remainder when o is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 1) + 22 + -23 + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 15*z - 40 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215775, 215769, 215763, 215757, 215751, 215745?\nAnswer: 215739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -322 - -328. Let g be (y\/(-18))\/((-1)\/(-3)) - 50. Which is smaller: -52 or g?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Solve -f + 13 = 3*y, -5*f - 17 = -5*y - j*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**27)))\/y**26 assuming y is positive.\nAnswer: y**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 + (-21)\/18. Let i = -34 - -36. What is the closest to 0.2 in i, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:04 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-2 - 10\/(-2)). Let c = -5 - -2. Sort -1\/4, c, v.\nAnswer: v, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 5 (c) -9.7 (d) -93 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*l + 3*l**2 - 280*l + 138*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7351, -29429, -66221, -117721, -183923, -264821, -360409, -470681?\nAnswer: -595631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16544, 3\/17, 0.15, 2, 4 in decreasing order.\nAnswer: 4, 2, 3\/17, 0.15, -16544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*x - 11. Suppose 5*u - 4*a + 7 = -x*a, 1 = u - a. What is the units digit of ((-40)\/14)\/(u\/7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187 + -188)*(-11)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16226614669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90193 and 23412204?\nAnswer: 4747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29565 - -29569. Factor -3\/5*f**3 - 9\/5*f**2 + 1\/5*f**o + 23\/5*f - 12\/5.\nAnswer: (f - 4)*(f - 1)**2*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11)*h*h**(-5)*h*(h**(-1)*h)**(-12))**(-3\/8) assuming h is positive.\nAnswer: h**(93\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799835427?\nAnswer: 3, 149, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -15, 4*o + 2*z - 12 = 26. Let i = o + -10. Differentiate 0 + 8 - i + 8*t**3 wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 2 - 1 + 1 in the form a*s + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*x + 6. 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 tens digit of 1835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, -96.\nAnswer: -96, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k - 3. Let p = -146 + 140. Let t(w) = 10*w - 4. Calculate p*x(q) + 5*t(q).\nAnswer: -4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*t + 21 = 5*u, t = 2*u - 3. Suppose 0 = q + c - 10 - 0, -16 = u*c. What is the highest common divisor of 70 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((437\/(-57))\/(-23))\/(3\/270*-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01257 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**3\/3 - b**2 + 3*b + 10915. Let k be (-2)\/(-2) + 18\/2. Let r(v) = 6*v**2 - 6*v + 10. Calculate k*q(t) - 3*r(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 0, -5*y + 4*o + 13 + 7 = 0. Let g(j) = -j**2 + 2*j + 1. Let k(s) = -2*s**2 + 49*s + 34. Let c(x) = y*g(x) - k(x). Differentiate c(u) wrt u.\nAnswer: -4*u - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145003798 to the power of 1\/2, to the nearest integer?\nAnswer: 33838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wkrkr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.951 - 14. Let b = 0.149 + y. Let s = -2.02 - -0.02. Put s, -1, b in descending order.\nAnswer: b, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33729 + -995001\nAnswer: -961272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvss when four letters picked without replacement from {p: 3, s: 1, v: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46970418*-3\nAnswer: -140911254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476172355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 + 17*z**3\/3 + 15*z**2\/2 - 14*z + 20. Suppose -2*r = 14 + 18. Let a be v(r). Let f(u) = -u**2 + 2*u. Give f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4739*k**6 + k**5 + 6*k**3 + 2*k**2 + 174380*k + 10.\nAnswer: 568680*k**3 + 60*k**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h**3 - 141*h**2 - 108*h - 1420. Determine w(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*j**2 - 63*j**2 + 22*j**2)*(0 + 0 - j) + (3*j - 3*j + 3*j**2)*(-17*j - 20 + 20) as d*j + z*j**3 + g + v*j**2 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + (-9)\/54. Let y(r) = r**3 - 3*r**2 + 2*r - 1. Let t be y(3). What is the closest to b in t, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 * -0.002\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7973.5 - 7973. Put -0.094, w, 0.3 in descending order.\nAnswer: w, 0.3, -0.094","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3\/8 (b) 10 (c) 0 (d) -0.2 (e) -7\/3 (f) 0.2 (g) -1\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1211762\/5 or -242352?\nAnswer: -1211762\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57+776\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, g: 6}. Give prob of sequence igi.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 2:43 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*b - 967 - 1351 = -202*b. Solve 62*s = b*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013074 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 191976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.74642 kilometers in nanometers?\nAnswer: 44746420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*w - 147 = 1, 112 = 3*u - 2*w. Suppose -4*l + 0*l + 3*z = -54, -3*l = -z - u. What is the highest common factor of 60 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 26 + 25 + 22 - 91 - 20025*c)*(4*c + 3*c - 3*c).\nAnswer: -80100*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 13*k**5\/60 - k**4\/3 + k**3\/3 + 3*k**2. Is r(3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13488343 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172.44 - 27.44. Sort 0.1, -0.2, y.\nAnswer: -0.2, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231 - -209 - (-1 + -29)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzmzlc. Give prob of sequence zm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36299 + 36299 - 10*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = -4. Let k = 1 - v. Solve 0*h + h - 7 = -2*l, -7 = k*l - 2*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13771319 by 5.\nAnswer: -13771319\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/((((z**(2\/9)\/z)\/z)\/z)\/z)*z\/(z*z*(z**2\/z)\/z)*z*z*z\/(z\/z**6)*z**(-3\/4)*(z\/(z**3*z)*z\/(z**(2\/9)\/z))\/(z**(2\/5)\/z*z)**18 assuming z is positive.\nAnswer: z**(649\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 4 (c) 29 (d) 11286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 108. Let u be -1 + (2 - 52*y). Let t = -68 + u. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60102432 (base 7) in base 9?\nAnswer: -10287376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00519 take away 79311.27?\nAnswer: -79311.27519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*f + 7*f + 36 = 0, -4*f = 2*d - 7*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -400831236 by -249.\nAnswer: 1609764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5\/((-25)\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1908958\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggeggggeee. Give prob of picking 4 e.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4719)\/1089)\/(1378\/(-12))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2601*n - 420 - 160*n**3 + 234*n + 1255*n**2 + 287*n + 105*n**3.\nAnswer: -5*(n - 21)*(n - 2)*(11*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 20*a - 96. Let g be k(-12). Let n(f) be the second derivative of g + 5*f - f**3 - 1\/2*f**2. What is n(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -2*z. Let d = 8 + z. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r = 2*c - 56*r + 12, 4*r = 5*c + 42 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -257 + 261 - (-1 + -54). Sort 4, l, -7.\nAnswer: -7, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m - 1. Let r(l) = -5*l**2 - 3*l - 2. Let d(q) = 6*f(q) - r(q). Is d(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by -33.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*m + 141*m + 7*m - 738375. Calculate the greatest common factor of m and 660.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 21*o - 23. Let k be x(-22). Let j = 48 + k. Solve 12*a**4 - 41*a**3 - 28*a**3 + 4*a + 4*a**2 + 49*a**j = 0 for a.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(187)*1*-4)\/((2*sqrt(99) + sqrt(99))*-5).\nAnswer: 16*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*v**4 + 4)*(-v - 4 + 4) + (v + v - 3*v)*(2 - 4 - 9*v**4 + 0 + (15*v**2 - 99 + 99)*(3*v - v**2 - 3*v)).\nAnswer: 26*v**5 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 9. Let n be (8\/(-10))\/(2\/(-25)). Let u = 0 + n. What is the lowest common multiple of u and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1006 - 502. Does 63 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1) - 3)*-2. Let f be (0 + -1 + -1)*2\/(-1). Find the first derivative of 2*w**4 - l*w**4 - 2 + w**4 - 4*w**f wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 25, -1\/2, 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39380 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3 (c) -1\/4 (d) 5 (e) -1 (f) 3\/5 (g) 3.373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 19*j + 25. List the prime factors of d(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 3:40 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/8*(-28)\/21. Suppose -f = -3*b + 2*b + 24, o*b = -5*f - 92. Round f to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - c + 6 = 0, -5*c = 4*d + 79 - 91 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -2300?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/84 and 103\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310383 rounded to the nearest ten thousand?\nAnswer: -1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529682358*r + 264841224*r + 264841206*r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 6571384.\nAnswer: 19714152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 251 + 3*r**2 + 98 - 53 + 3*r - 3*r - 2*r**2 + (-r + 0*r - r)*(-6*r + 4*r + r) + 2*r**2 - 4 + 4 + 4*r**2 - 4*r**2 - r**2.\nAnswer: 4*r**2 + 296","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*8\/440*-11.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 0*p = 0. Suppose j = -n + 3*n - 16, p = 5*n + 5*j - 55. Solve -n = -3*x - 3*m, 5*x + 3 - 21 = -2*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, and 1 e when three letters picked without replacement from ewwewfxewjdfwwweexwe.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/63*12\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2. Let z(c) be the second derivative of -87*c**4\/2 - 1244*c. Determine z(s(l)).\nAnswer: -2088*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27911 and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27049749671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*f - 5*f - 4*y, -2*f + 10 = -2*y. Solve 0 = -4*j - f*v + 5, 0 = 4*j - 3*j - 4*v + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -3*n - 40. Suppose -2*x - 3*m - 10 - n = 0, -3*m = 4*x + 110. Round x to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.2 (b) -902198 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 2029?\nAnswer: 2028.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211701990 to the power of 1\/3, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -831, -1229, -1611, -1971, -2303?\nAnswer: -2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -1 + (2 - -9 - 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 381 + -389. Let s = -42 - -46. Let h(b) = 3 + 0*b + 2*b + 2 + s. Calculate h(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7 - (-33592)\/1064)\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48655 is divided by 48645?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmmmmmxx. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b - f = 3, 0 = 2*f + 10. Let m = 1 - 0.94. Let l = m + 0.24. What is the nearest to -1 in b, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 365 = -0*k + x, 0 = 4*k + 2*x + 1466. Let u be -7 - k\/54 - (-508)\/18. What is the units digit of 3100\/u + ((-10)\/14 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100100011001001?\nAnswer: -100100011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = -6*m. Suppose -7*y + 2*y - 40 = 0. Let a = -13 - y. Put a, m, -2\/11 in decreasing order.\nAnswer: m, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 2}. What is prob of picking 2 i and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(825\/6))\/(2\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2414 is divided by 493?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(47\/5)*c**(-10\/7)*c\/(c\/(c\/(c*c**(-16)*c)))*c**(-2\/29) assuming c is positive.\nAnswer: c**(23246\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by ((-66)\/(-24))\/11 - 150\/(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 30*o + 93. Calculate g(27).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76648950 divided by 567770?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 44 + 26)*(0 + 0 - 3*l).\nAnswer: 189*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:03 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc + 5a792?\nAnswer: 5a891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 43 - 48 = 0, 0 = -5*x + 3*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2\/3, -3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10, -5, 5, 8.\nAnswer: -5, -4, 5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3168)\/192*(-4)\/(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 6 = 104 + 86 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/61625 and -143\/13800.\nAnswer: 34017000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13914 and 6?\nAnswer: 13914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -2166, -3, -5.\nAnswer: -2166, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.353*1153814\nAnswer: 407296.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.5, 3, 4\/5, 21 in descending order.\nAnswer: 21, 16.5, 3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9044 and 13328?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:58 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-2\/7))*u**(-22) assuming u is positive.\nAnswer: u**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -67, -62, -55, -46?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/20 + s**4\/4 - s**3\/2 + 3*s**2\/2 + 11*s. Let c be 6\/4 - 945\/(-42). Let g = c + -22. What is f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/(5\/60). Suppose -4*q + t = -2*q. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -15. Let s = 5.6 - h. What is the third biggest value in s, 0.2, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 + 2\/(2 + -3). Let i = -18 - x. What is the second smallest value in i, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-16)\/20) - 1. Let d be ((-2)\/6)\/((-4)\/(-12)). Put d, h, -5 in ascending order.\nAnswer: -5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 17 + 13*g + g**3 + 0*g - 2*g**2 + 4*g**2 + 8*g**2. Let y be h(-9). Let i = -12 - y. What is the remainder when 12 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5763)\/(-7) + 72\/(-56) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -82. Let h = m - -35.3. What is the fourth smallest value in h, 0.4, 2\/9, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 - 7*p**2 + 14*p**2 + 3 - 1 wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + 0.01. Let k = c + -0.3. Put 0.1, 0.5, k in ascending order.\nAnswer: k, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -59*o - 7. Let p(c) = 39*c + 5. Let h = 1215 + -1208. Give h*p(x) + 5*d(x).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2367 - -4071. List the prime factors of m.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -0.078, -1\/3, 0.5, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*f + 96 = 70*f. Calculate the least common multiple of f and 27.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/6 + 6\/(-3). Let l = 6.51 - 6.2. Let q = -0.01 + l. Which is the nearest to -2? (a) -0.5 (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67334 - 67301.969. What is f rounded to 0 dps?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 68 = -4*m, 0*z + 54 = 3*z + 3*m. Solve 4*v = -0*v - z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/7 - 804*r**3\/7 - 15108*r**2\/7 + 6856564*r\/7 + 981552 = 0. Calculate r.\nAnswer: -84, -1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - -37 - (0 - 1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11728 (base 11) to base 3.\nAnswer: 212010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -449 + 451. Let q(i) be the second derivative of 0 - 3*i**m + 0*i**4 + 3*i + 0*i**3 - 1\/10*i**5. Differentiate q(n) wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e88 + 1b?\nAnswer: -3e6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/45360 and 95\/56?\nAnswer: 45360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {t: 2, o: 10, v: 1, f: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 15 - 12, 5*s - 2615 = -5*t. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471504, 471467, 471430?\nAnswer: 471393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -5252*f**7\/7 + 13*f**3\/3 - 6*f**2 - 3*f + 7172. Find the third derivative of x(j) wrt j.\nAnswer: -630240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, y: 4, o: 1, g: 4, u: 1}. What is prob of picking 2 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -34 (b) -1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 1. Let c(o) = 2*o. Calculate 3*c(b) - 4*f(b).\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77783, -148578, -219375, -290174, -360975, -431778?\n\"Answer: -v**2 - 70792*v - 6990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -877740 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 11. Let t = 10 + a. Suppose -2*r + l - 47 = -4*r, -l - 5 = t. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5 - 1090*r**4 + 8500*r**3 + 7618960*r**2 - 15263232*r = 0?\nAnswer: -76, 0, 2, 96, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*r = 134*r + 10015 - 3979 + 6812 for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, c: 7, s: 3}. Give prob of picking 1 s and 2 d.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3 (c) -1 (d) -1098 (e) 29 (f) 3\/8 (g) -3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*n**3 + 0)*(n - 3 + 3 + (-n - n + n)*(5 - 4 + 1) - 2*n + 0*n + n + 6*n - 4*n - 3*n - 3 + 0*n + 5 + n).\nAnswer: 8*n**4 - 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -123*y**3 - 4*y - 11. Let r(w) = -61*w**3 - 2*w - 5. Let t(h) = 9*r(h) - 4*u(h). Does 14 divide t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -855, -918, -1035, -1206, -1431, -1710, -2043?\n\"Answer: -27*y**2 + 18*y - 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 46.2. Which is the third biggest value? (a) 4 (b) 3 (c) 4\/5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 80*r**3 + 112*r**2 - 112*r. Let n(z) = -z**3 - z**2 + z. What is 224*n(u) + 2*p(u)?\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.84 and -7.\nAnswer: 215.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*b**3 + 64*b**2 + 103*b + 6.\nAnswer: -(b - 3)*(b + 1)*(33*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 41 - 2 = 4*c, 3*n - c - 104 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9454?\nAnswer: 2, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1228)\/(-921))\/(5\/3 + -1). Let i be 2\/3 + (-1)\/3. Factor 0*y + i - 1\/3*y**u.\nAnswer: -(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tplttttll. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2)\/12*15. Suppose -16 = 4*t - x*v, -2*v = t - 0*v - 9. Is 34 - (-2 + (t - 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 2\/11, -0.5, 167\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 60 - 0. Let a be -4*(2 - 10\/4). Let d = a - -4. Calculate the remainder when j is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(-3 + 1*sqrt(192)) - (-5 + sqrt(192) + sqrt(192) + 0 - sqrt(192)*-2*-1))**2.\nAnswer: -672*sqrt(3) + 1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g + 2*g**3 + 6*g + 3*g - 24*g**2 as v*g + o*g**2 + i*g**3 + d and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.2, -4, -10\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*l - 31628, 0 = 3*p - 5*l + 8763 - 32484. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07429 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 55 + 20. Suppose -514 = -8*h - 10. What is the remainder when p is divided by ((-12)\/7)\/(((-270)\/h)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - (-135)\/20. Suppose 5*c = -4*v + 17, 7*v = -3*c + 3*v + q. Suppose -4*r - 2*g + 19 = g, 5 = c*g. Solve -4*w + r + 0 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.17, -7, -4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -331*m**5\/20 + 1241*m**3\/6 + 10*m - 2. Find the second derivative of z(k) wrt k.\nAnswer: -1986*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/58, 4, -5, 0.23, -0.5, -0.4 in ascending order.\nAnswer: -5, -0.5, -0.4, 3\/58, 0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -186. Suppose -2*l - d = -8. What is the third smallest value in -1, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-3)*168\/(-70). Suppose 5*s - 42 = p*s. Calculate the remainder when 33\/(-6)*(-4 + s) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*1289\/3. Let v be 2*3*(64860\/40)\/(-69). Let f = v - d. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 4, e: 2, j: 2, u: 1, m: 1}. What is prob of sequence ejj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 20*u**2 + 19*u - 1. Let g be z(-19). Let p be (g\/3)\/1*120\/8. Sort -2, p, 0, -1 in descending order.\nAnswer: 0, -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -3 (b) -476 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27682678 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 26. Suppose 0 = 2*x - v, 3*r = 8*r + 2*x + 3. Let i(g) be the third derivative of g**4\/24 + g**2. Calculate i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 110 = -g, 0*g + 3*g + 6 = i. Let m be (-18)\/(-4)*28\/i. What is the tens digit of ((-63)\/m)\/(9\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.021 + 437.021. Let q = z + -440. What is the nearest to -0.2 in -1\/4, q, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 3*c**2 - c - 2. Let r(i) = i**3 - 7*i**2 + 8*i - 9. Let m be r(6). Suppose -8 = -s - d, -m*s + 3*d = 2 + 4. Calculate v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 507 and 6?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(5*i**4 - 2*i**4 - i**4) + (-11775*i**2 + 838*i**2 + 1336*i**2)*(i**2 + 0 + 0).\nAnswer: -9603*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1148488638 to the nearest one million.\nAnswer: -1148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 23*q**3 + 17*q**2 + q + 5. Let v(z) = 10*z**3 + 8*z**2 + z + 3. Let t(p) = 3*i(p) - 7*v(p). Determine t(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 150310*x - 751526. Calculate g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246786.2 rounded to the nearest one thousand?\nAnswer: 1247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s = -3*y - 522, -3*y = 5*s + 880. Let w = s - -179. Solve w = m - 3*h - 5, -m + 2*h = 5*h - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -10*i + 4, -4*x = 3*i + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17*g - 22. Let w(t) = -34*t - 43. Let k(v) = 4*w(v) - 9*y(v). Let x be k(17). Let h = -149 + x. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1615 = 72*i - 93 + 782 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 - 4*t**3 + 0 - 2 in the form u*t**3 + a*t**2 + o*t + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008597913 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*r = 1619, 6*k - k + 5*r - 2705 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21774 - 21774 + 45240*s**2 to the form l + o*s + i*s**2 and give i.\nAnswer: 45240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 172. Let h(a) = -2*a**3 - 18*a**2 + 21*a + 54. Calculate the remainder when i is divided by h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*v**3 - 24*v**2 - 57*v**2 + 188 - 6*v**4 + 3*v**4 - 45 + 82*v**2 wrt v?\nAnswer: -72*v + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*q**3 + 264*q**3 - 295*q - 521*q**3.\nAnswer: 2*q**3 - 295*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 6531*w**2 - w**3 + 2178*w**2 + 2179*w**2 + 2174*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/120 + 7*o**5\/60 + o**4\/4 + 2*o**3\/3 - 4*o**2. Let p be t(-6). Which is the biggest value? (a) 0.3 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 88*r + 82*r - 7 + 82*r - 21*r**2 - 245*r + 4*r**3. Let q be s(5). Solve -5*f + 5 = -o - 4*o, 1 = f + q*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/22251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w**2)*(3 + 3 - 5)*(3 - 1 - 4).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:29 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i + 95. Let w be y(-9). Suppose 90 = -w*h - 5*h. Is -1 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 8:11 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5 + 1 - 2*n + 2. Let g be f(-7). Suppose 3*o - 1 = 5. Solve -o*y = y + g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 26999*w - 1. Suppose 16*n = 11*n + 15. Suppose 0 = -j + n, j + 0 + 1 = -4*u. Let p be a(u). Round p to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, 0.5, -0.0133?\nAnswer: -0.0133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)\/w**1)\/(w*w**(-4\/9))**(-3\/4))**(-30) assuming w is positive.\nAnswer: w**(215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 235 - -75127\nAnswer: 75362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 299024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 185 = 49*s. Solve 2 = -2*j + n, 16 = -11*j + 8*j - s*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, 0.3, -4, -1, 6646?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 9. Let y be 3\/(p\/2*2). Let h(q) = -3*q. Let t(n) = -14*n. Let g(k) = y*t(k) + 15*h(k). Let v(u) = 2*u**2. Determine g(v(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17344 divided by -16?\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 m when three letters picked without replacement from kkiqhzm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.5 + -24. Put -25, y, -1\/2 in descending order.\nAnswer: y, -1\/2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 6. Let j be f(4). Let s = j - -24. Let p = s + -8. What is the highest common divisor of p and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0 + 1\/6*v**3 - 4*v + 0*v**2. Let c(k) = -k**2. Calculate a(c(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1585895+13.267184\nAnswer: 1585908.267184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 9*i = 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592855239.\nAnswer: 3, 197618413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-198)\/(-4)*14\/21.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - 15\/9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 - h**4\/3 + h**3 + h**2. Let i be o(7). What are the prime factors of 12*(i + (-5)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - y**2 + y - y**2 - 2*y**2 + 2*y**2 + (-y + 2*y + y)*(2*y + 1 - 1) + 2*y - y**2 - 2*y + 3*y**2 - 3*y**2 - y**2 + (-2*y**2 - 3*y + 3*y)*(-1 - 4 + 6).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 34*a + 1. Let u be d(1). Let m = 41 - u. Suppose m = 21*h - 19*h. Let c(o) = 4*o + 2. Calculate c(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -193*z**2 - 2*z. Let d be c(-1). Let g = -1339\/7 - d. Let s = 0.7 - 1. What is the nearest to -1\/3 in g, 2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6\/(-120)) + 2 + (-9)\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 43*k + 4.\nAnswer: -43*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 5.\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 52*c - 319. Let q be a(16). What is the closest to q in -55, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m - 360 = -133*m + 54*m - 47*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266 - -388. Suppose 3*u = -3*f + 132, -m = -3*f - 5*u + 20. Calculate the remainder when f is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 39*y**2 - 4*y - 701. Let t be b(30). Calculate the greatest common divisor of t and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 137219334.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*6)\/(1 + 1). Let u = o + -4. Let j(n) be the third derivative of n**5\/60 - 5*n**4\/24 - n**3\/3 + 2*n**2. Give j(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1033, -2, -7, 0.12, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1557 is divided by ((-5)\/(-15) - 20\/15)\/((-7)\/273)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(342\/60)*-12*2\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/12)\/(c*c\/(c\/c**(4\/3))))**(-1\/24))**(-2\/3) assuming c is positive.\nAnswer: c**(-29\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10772 + -10774. What is the closest to -3 in 0.4, 17, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 10 - 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:59 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*n - 1 - 0, 5*b = -2*n + 41. Let a be -20*(-3)\/b*(-21 + 24). Solve -a = -u - 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -490 (b) 469 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 121, 212, 5, -2 in increasing order.\nAnswer: -2, 5, 21, 121, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -23*u + 51. Calculate g(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 556435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0 - 6. Is 6*j\/4 + 262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 16*v = -5*v - 248004. Which is smaller: v or 20666?\nAnswer: 20666","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/52160 and 109\/6800.\nAnswer: 4433600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -77, -126, -183?\n\"Answer: -4*d**2 - 29*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3549877 = -243*k + 831899. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = d, -5*b - 76 = -4*d - 67 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 2057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*w + 4*p, 3*p - 57 + 31 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from famavmgv. Give prob of sequence mfgv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -21*u**2 + 2*u + 687. Let q be p(32). Are q and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/746592 and -64\/539?\nAnswer: 5226144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/55)*h**(13\/6))\/(h**(-1\/78)*h**(1\/11)*h) assuming h is positive.\nAnswer: h**(2413\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74072977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24235197 is divided by 408?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 10*j**2 + 25*j + 32. Let m be l(-7). Let f = 0.006 + -0.106. Sort f, -2\/9, m in ascending order.\nAnswer: -2\/9, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + (-1)\/(-1). Suppose -k*h + h = -11. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 33 + 3. Suppose -2*c + k + 80 = 0. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b (base 16) in base 12?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4180 - 4180.1. Let r = -46\/77 - -5\/11. What is the third smallest value in 2, -2\/3, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -15, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352456*v - 704909*v - 134 + 352451*v.\nAnswer: -2*v - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n + 23. Suppose -3*l - 21 = 5*f - 4*f, 4*l + 4*f + 36 = 0. Calculate t(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -12, -35, -70, -117, -176?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 85. Suppose -2*b + 40 = 3*d, -d + 2*b + 3*b = k. Calculate the remainder when 47 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 227, 229, 231, 233, 235, 237?\n\"Answer: 2*n + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c + 4*c + 0*c - 3*c. Let l be x(-3). What is the remainder when 58 is divided by 5\/(-1 - (-14)\/l)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 289691559 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30831, -61560, -92289, -123018, -153747, -184476?\n\"Answer: -30729*y - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 752 - 753. Which is the second smallest value? (a) 0.026 (b) f (c) 5 (d) -2 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 6\/13842491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-14885))\/((-24)\/(-60))*4?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-10) + 10\/25. Suppose -4*g = 6*l - 11*l + 4519992, -5*g + 1808010 = o*l. Round l to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27381, -54766, -82149, -109530, -136909, -164286?\n\"Answer: o**2 - 27388*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k**2 - 1785*k + 56038. Determine d(45).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -506 + 895. List the prime factors of y.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3698 and 688?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1606 = -98*a + 1432. Calculate the highest common divisor of 17639 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2500)*-2 + sqrt(25))\/(-1*sqrt(405)))**2.\nAnswer: 1805\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1367709107 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-two fifths of a millennium?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1434*r + 5 - 7 + 1666*r.\nAnswer: 3100*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 5*x**2 - x - 1. Let n be f(-5). Solve s - n*b + 4 = -4*s, -3 = -s - 3*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (23574\/(-9))\/((-1)\/6). Let o = 8616 - m. Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1337, 1323, 1307, 1289, 1269, 1247, 1223?\n\"Answer: -b**2 - 11*b + 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9954)\/12)\/21*-70. Solve -a*y + 20 = -2770*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -384, -1288, -2798, -4914?\n\"Answer: -303*w**2 + 5*w - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -37*p + 2. Let s be r(2). Let l = s - -126. Suppose -l + 296 = 11*v. What is the lowest common multiple of 12 and v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3315, -3270, -3243, -3228, -3219, -3210, -3195?\n\"Answer: b**3 - 15*b**2 + 83*b - 3384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/473095 and -79\/2973740.\nAnswer: 20816180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 1 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (66*x**2 + 77*x**2 + 48 - 147*x**2)*(-2*x - 1 + 1)*(-6 - 4*x + 6) in the form g*x**4 + y + i*x**3 + w*x + v*x**2 and give v.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4 and -131\/329140?\nAnswer: 329140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -28*s + 80. Differentiate -1150 + 1084 - 251*z**4 + 30*z**4 + z**s with respect to z.\nAnswer: -880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 - 28\/16. Let i(d) = d + 2. Let w be i(m). Which is the closest to w? (a) -0.1 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Sort 5, 1\/4, v in decreasing order.\nAnswer: 5, v, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -461*h**4 + 2*h**2 - 1949.\nAnswer: -1844*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by -5.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4\/9 (c) 4\/321 (d) 2\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(224) - (sqrt(224) + sqrt(224)*-2)) - sqrt(224))\/(2*sqrt(392)))\/(sqrt(144)*-4 - sqrt(196)*2).\nAnswer: sqrt(7)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 8*b + 1. Let w be k(8). What is the highest common divisor of 7 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - v**4*z + 3*v**3*z - 44*v**2 + v*z - 2*v wrt v.\nAnswer: -120*v**2 - 24*v*z + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/43 - -136\/301. Let h = -221 - -226. Which is the biggest value? (a) m (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwcw when four letters picked without replacement from qwscsjwjsqllsc?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4493 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 16113 - n**4 - 10*n - 16113 to k*n + x*n**2 + s*n**4 + z*n**3 + l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000261383 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l. Let w(s) = s**3 - 6*s**2 + 6*s - 3. Let x be w(5). Let d(i) = i**2 + 0*i**2 + 0*i**x. What is d(q(v))?\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 11*r = 2. What is the third derivative of -57*c**3 - 5*c**2 - 61*c**3 + 151*c**3 + 13*c**r wrt c?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 27 = 5*b - 1, b - 11 = 2*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -21 - -2)*-1. Let c = k + 49. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - 32*d - 104. What is the tens digit of h(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826*d = 654 + 34040 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 3*z - 11, 5*p - 20 = -3*z. Suppose -z*v = -2*v + 6. Let u = -0.25 - -0.05. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12324 + 12326. Solve 3*s - 41 + 38 = -q, l*s - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.5. Let d = -2\/377 + -732\/4147. Put -0.1, d, f in descending order.\nAnswer: -0.1, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 66*l = -492953. Calculate the highest common factor of l and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*f - 84*f + 2 - 60*f + (3 - 1 - 1)*(10 + 3 + 22)*(f - f - 2*f).\nAnswer: -269*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -21*b**3 - 321063*b**2 - 126800724*b + 36254988 = 0.\nAnswer: -14883, -406, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, p: 2, z: 1}. Give prob of picking 1 p, 1 z, and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 4:18 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 3*f**5\/20 + f**4\/6 - 5*f**3\/3 - f**2\/2 - 3*f + 7. What is the second derivative of w(y) wrt y?\nAnswer: 18*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-192)\/(-40) + -6)\/(4\/(-10)). Suppose 0*s = 2*d + 3*s - 6001, -p*d = -s - 8996. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5580 = 5550. Put 0.2, 5\/2, o, -1\/2 in decreasing order.\nAnswer: o, 5\/2, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/3, -2\/9, 39, 3\/2, -2\/3, -1.178?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**2 + 52*g + 8. Let r(n) = -3*n**2 - 17*n - 3. Let v(t) = -3*q(t) - 8*r(t). Find the second derivative of v(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66130450 - 4?\nAnswer: 66130443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/24*(-10)\/10)\/((-30)\/24)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and 257880?\nAnswer: 25530120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143021 divided by -28.\nAnswer: -143021\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5980 and 920.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/182 and 3\/26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - (-628)\/(-3). Let t be (-6)\/8 + c\/(-76). Let d = -1 - -3. Solve n + 6 = 2*q, 3*q - 19 = d*n + t*n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1309, -837, -6671, -18041, -36795?\nAnswer: -64781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/2 + 1013742*q + 513836421282 = 0. Calculate q.\nAnswer: -1013742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*v - 49. Suppose -9*o - v*o = 60. Sort o, 11, -1.\nAnswer: o, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -123 and -2678229161719.\nAnswer: -2678229161842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 1 = 116 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.6 in 0.0883, 1144, 2\/5, 1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 8 = -3*s. Let a(v) = 13404*v**2 - 33774*v**s - 22031*v**2 + 4*v + 5. Let r be a(5). What is r rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 0, -1, 0.22, 2.\nAnswer: -1, -0.14, 0, 0.22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x - 18*x - 33*x - 3 + 3 + 103*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6514251*p + 2. Let j(a) = -a. Calculate r(j(y)).\nAnswer: 6514251*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 404591 and 57?\nAnswer: 23061687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (-1 - 8\/(-2)) + -1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v**3 - 14*v**2 + 3*v - 30. Does 22 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059341483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1846*n**2 + 5*n**3 + 3*n**3 - 1354*n**2 + 2*n + 33*n**5 + 12*n**5 wrt n?\nAnswer: 2700*n**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616654?\nAnswer: 2, 13, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25513535.\nAnswer: 5, 37, 137911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v + 18. Calculate the least common multiple of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19115 - -157\nAnswer: 19272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*l + 47, 4*l - 70 = -3*g + 7. Let u = 31 - g. Solve 3*b + 2 + 7 = u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 + 2*l**2 + 3*l - 5. Let z(n) = -9*n**3 + 3*n**2 + 5*n - 9. Suppose 4*v - 18 = 2*i, -v = 3*i - 7*i - 1. Determine v*d(r) - 3*z(r).\nAnswer: 2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6858 is divided by 1714.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2704055 times 0.21?\nAnswer: -567851.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 9, x: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let b be (0\/j)\/(6\/(-6)). What are the prime factors of (8 - b)*(2 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 1. Let a be 10\/8 - (-49)\/(-196). Let i be (-1)\/a*15\/15. What is y(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l - 417 = -518 + 3062 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -50. Let n(u) = 22*u**2 - 12*u**2 - 12*u**v. Let c(q) = -4*q. Let b(r) = 5*r. Let f(z) = 2*b(z) + 3*c(z). Calculate f(n(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let x(d) = 316684*d**2 - d. Calculate y(x(j)).\nAnswer: 316684*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z - 19*z - 19*z + 423 - 14*z + 51*z.\nAnswer: -25*z + 423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiuiiiiiui. Give prob of picking 2 i and 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24413, -97958, -220559, -392222, -612953, -882758, -1201643, -1569614?\n\"Answer: -z**3 - 24522*z**2 + 28*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -1207, -1783, -2345?\nAnswer: -2893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**(-2\/11)\/(o**(-7)\/o**(-5\/2)))\/(((o**(-6)*o*o*o)\/o*(o**(-4\/7)\/o)\/o*o*o)\/(o**1)**(4\/5)) assuming o is positive.\nAnswer: o**(22523\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l + 3. Let v be (((-12)\/10)\/(-2))\/((-3)\/(-1965)). Let k(d) = -4*d + d - v + 392. Give -5*k(t) - 2*x(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*a - 5 = 20, -3*a = 5*j - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -2*p + 4*v, 5*p + 5*v = 583 - 63. Suppose -5*b = 2*u - u - p, 4*b = -u + 102. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 101?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - d + 16. Suppose 6*z + 243 = 33*z. Let f(l) = 5*l**3 + 3*l + 5. Let w(y) = 11*y**3 + 7*y + 11. What is d*w(p) + z*f(p)?\nAnswer: p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 49*u**2. Let b(v) = -3*v**2. What is p(b(s))?\nAnswer: 441*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-6)\/4)\/(-1))\/((-18)\/(-48)). Let s be (-3 + 6\/f)\/(195\/4). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*i**2 - 63*i**2 + 712*i**2.\nAnswer: 821*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9234 + 0.5.\nAnswer: -9233.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14188 and 3646316?\nAnswer: 3646316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 x when four letters picked without replacement from ibbbixbibxiibbbib.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1313?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/14 and (-145)\/16*54\/(-45).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 655.7*0.32128.\nAnswer: 210.663296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1106, 1276, 1558, 1952?\n\"Answer: 56*o**2 + 2*o + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 6*f + 6. Let v be n(3). List the prime factors of ((-15)\/v)\/(6\/(-204)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 21*i**3 + 2*i**2. Let f(u) = 43*u**3 + 5*u**2. Let x = 2121 + -2116. Calculate x*o(s) - 2*f(s).\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 28690716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/36)\/((-335)\/(-1340)). What is the closest to 1.1 in 1\/8, j, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -52, -19 in decreasing order.\nAnswer: -1, -11, -19, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + b - 4, -32 = 116*r - 120*r + 4*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -31?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66479 is divided by 764.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.052 and -0.8603689.\nAnswer: -0.9123689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxulurrrupru. Give prob of picking 1 l and 1 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/7)\/((-27)\/18). Suppose -2*n + 1 = -5. Put n, 0, -1, f in descending order.\nAnswer: f, n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**13*k)\/k*k))\/((k*k**(-2\/39)*k)\/k*k*k)*(k\/k**1)**(-40) assuming k is positive.\nAnswer: k**(-622\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/355, 0, 0.09, 132\/5 in ascending order.\nAnswer: -8\/355, 0, 0.09, 132\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:39 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -151152345 (base 6) to base 2\nAnswer: -1011111110110010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204638 (base 14) to base 10.\nAnswer: 1087850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.1. Let s(o) = o**2 + o - 4. Let m be s(2). Suppose 7 = p - 4*k, -4 = -m*p + 4*k + 2. What is the biggest value in -3, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**3 + 9*k**2 + 35*k + 23. What are the prime factors of q(-7)?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 8*g + 3*g - 85, g = 4*o - 62. Suppose 5*r - 30 = -4*z, 3*r - 18 = 7*z - 4*z. What is the remainder when o is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*j - j - 369 = -350, 4*j + 19 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(45) - -2*sqrt(28)*1)\/(sqrt(400)*-2 + sqrt(44)\/(sqrt(11)*1 + sqrt(11))))**2.\nAnswer: 1372\/13689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(3 - 3 - 2)*(-1 - 8 + 8)*(-4 - 2*n + 4) in the form c*n + p and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17.322 - 0.3\nAnswer: 17.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014245 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 60 = -2*a - 7, 0 = 3*a + 2*z - 70. Suppose 2*j - 6 = -a. Is 1\/3 + 537*(-1)\/j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 155, 306, 459, 614?\n\"Answer: h**2 + 148*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*30\/155. Suppose 0 = 12*j - j. Is f bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*v - 309*v + 149 - 1576 = 1645 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 168532824*c. Let t(l) = 3*l. Determine r(t(o)).\nAnswer: 505598472*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f**33*f)\/f))\/(f*(f\/(f\/f**(-1\/5))*f)\/f*f*f*f) assuming f is positive.\nAnswer: f**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 - 8. Let s = v + -0.3. Let g = 1429 - 1429.2. What is the closest to g in 1\/8, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3206251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746199192 to the power of 1\/3, to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-9)\/(54\/(-2))*27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*d - 5 = 0, 14 + 1 = k + 4*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*l = -6, -2*l - 4 = -127*v + 133*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**2*w - 3*t**2 + w + 43 wrt t?\nAnswer: 2*t*w - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2 = x, -152*x + 1039 = -71*q + 76*q for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021100022 + 2101011?\nAnswer: -2011222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 + -2.7. Let f = -0.1 + a. Let y be 5 - (364\/(-12))\/(-7). What is the second biggest value in y, f, -3\/10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*-210.\nAnswer: 48.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**3*x**3 + 33*w**3*x + w**2*x - 3340*w*x**4 - 5*w*x**2 - 2*x**2 - x wrt x.\nAnswer: 18*w**3 - 80160*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/2, 3, -0.1, -35\/4?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.1 - 47. Let a = 0 - 0.5. Sort a, -0.4, -5, r in increasing order.\nAnswer: -5, a, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -86 + (3 - (22 - (-28 + 37))).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/4 + 4*d**2 - 2*d. Differentiate y(m) with respect to m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57001 = -8*n + 57041 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 227*l + 121*l + 114*l)*(-5*l + 0*l + 16*l).\nAnswer: 88*l**2 - 429*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i**4 + 11*i**3*v + 30*v - 8 wrt i.\nAnswer: 12*i**3 + 33*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 + -13 + 12 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -356.2 + 334. Let a = r - -30.2. Which is smaller: -7 or a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 57?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 3)*(2*v**2 - 4*v**2 + 5*v**2).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101 + -1001?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a factor of 13386912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2057) + -1 + 2*sqrt(2057)*4 - (-4*2*sqrt(2057) + -2).\nAnswer: 1 + 187*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.656453 to 3 dps.\nAnswer: 3.656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14773207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -1dd?\nAnswer: 1f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133.08978 + 132.86. What is z rounded to 3 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1668 to two decimal places.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 29. Let h be y(16). Sort h, 5, -11 in decreasing order.\nAnswer: 5, h, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266 - -336. Calculate the greatest common divisor of j and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - 11*q - 6. Give a(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1036, -4101, -9192, -16297, -25404?\n\"Answer: 2*y**3 - 1025*y**2 - 4*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(3\/8))\/q*q*q\/q**(-2))\/(q\/(((q*(q**1\/q)\/q*q)\/q)\/q))**(2\/31) assuming q is positive.\nAnswer: q**(1115\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 12. Let q(n) be the third derivative of 0*n**4 + 0 - 1\/24*n**v + 2*n**2 + 1\/240*n**5 + 0*n. What is l in q(l) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 2*b**2 - 198*b**4 + 385*b**4 + 2*b - b**3 - 13 - 189*b**4 to the form m*b**3 + d*b + g*b**4 + c*b**2 + u and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175608 and 114091.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13627 divided by -1.\nAnswer: -13627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1316 - 1117. List the prime factors of a.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-15) + (5 - 10) + 7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 - 10 + 726*m**4 + 18*m - 727*m**4 wrt m?\nAnswer: -4*m**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*2)\/(45\/30). Solve 4*x = -6*g + m*g - 8, 0 = 5*x + 4*g + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 5809122?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/17, -16, 9, -0.1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 99. Let x be (1*-3)\/(16\/48). Let s be 14\/(-63) + (-119)\/x. What is the greatest common divisor of p and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-990)*99\/540*-6.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18847664 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46460222537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/3, 53, 0, -2\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 8*o**2 + 10*o - 23. Let p be r(7). Sort -40, p, 5.\nAnswer: -40, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 6985145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 350385*h**4 - h - 1483095?\nAnswer: 1401540*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 341*t. Let z(o) = 2*o. Calculate p(z(k)).\nAnswer: 682*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-14973 + 14973 + 113*o) + 50 - 50 - o.\nAnswer: 225*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*b - s, 6*b - 22 = 4*b + 4*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m**3*n + 1105*m**3 + m**2 + 713*n wrt m.\nAnswer: -54*n + 6630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3753635 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*4\/3. Suppose -3*u - 3*r - i = 4, -5*u + r = -8. Calculate the least common multiple of (-18)\/5*5\/(-2) and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -2*x**5\/85 - 45*x**4\/34 - 856*x**3\/51 + 1920*x**2\/17 + 4608*x\/17 + 350. Let k(t) = 0. What is t?\nAnswer: -24, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.132824 millennia to months.\nAnswer: 61593.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let y be ((3 - 0)\/(-3))\/((-4)\/12). Sort y, j, 2 in decreasing order.\nAnswer: y, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhjjjhhekjhh. What is prob of picking 1 h and 1 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-3 - -5) - 2. Suppose j*y - 372 = -10*y. Calculate the remainder when 184 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 6, f: 7}. Give prob of sequence cfpf.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Let a(u) = -u**3 - 2*u**2 - 4. Let l be a(-3). Put o, l, -5 in descending order.\nAnswer: l, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2110*j + 5997. Determine d(3).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*m**3 + 299*m**3 - 644*m**3.\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - w**2. Let l(y) = 5*y**3 + 4*y**2 + 2*y + 61. Let u(t) = 2*g(t) - l(t). What is the second derivative of u(j) wrt j?\nAnswer: -18*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030805 take away 0.071?\nAnswer: -0.040195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.58 (c) -0.05 (d) 0 (e) 90\/19 (f) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + j)*(-47 + 56 - 40).\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-157 - -112) + ((-20559)\/(-374) - 10)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11.1712533+8\nAnswer: 19.1712533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1714, -3432, -5150, -6868, -8586, -10304?\nAnswer: -12022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 1\/7 (b) -7 (c) 162 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 275027287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93976*f**3 - 3701*f + 17 wrt f.\nAnswer: -563856*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -327, 4, 28, -1\/4, -5\/2.\nAnswer: -327, -5\/2, -1\/4, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - b = 2*b - 28, 0 = -3*m - 4*b - 170561 + 170589 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 143280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 6*a**2 - 9*a - 3*a**2. Let y be j(5). Suppose 6*m = 11*m - y. Put m, -3, 1 in descending order.\nAnswer: m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -26 - 34. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r - 68 + 28. Let o be ((-642)\/r)\/((99\/84)\/(-11)). What is the tens digit of 1\/((-8)\/o) - 5\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27827, -3, 2 in descending order.\nAnswer: 2, -3, -27827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 - 2*m - 6. Let o(p) = -2*p**2 - p - 2. Calculate 6*a(g) - 17*o(g).\nAnswer: -2*g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 5*k - 1, 5*g = -2*k - 10. Let v = k - -2. Suppose 2*f + v = f. Sort -3, 2, f.\nAnswer: -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 602241959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o. Put o, 5, -2 in descending order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -315 and 0.58.\nAnswer: -182.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13675000 rounded to the nearest one hundred thousand?\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -108845?\nAnswer: -78\/108845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 177 = k - 126, 2*j - 254 = 27*k + 1268 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 - 157. Put -1\/2, 1, 0, r in increasing order.\nAnswer: -1\/2, 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1792253.14 rounded to the nearest 10000?\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/9558920 and 81\/44?\nAnswer: 105148120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:19 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2200 and 185405?\nAnswer: 7416200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -49 in descending order.\nAnswer: -1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18947 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -70*(-5)\/5*-1. Let p = h - -70. Suppose -2*t - 3*a + 1888006 = p, 0 = -t + 3*t - 5*a - 1887990. Round t to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 11, 2\/15, 5\/3, 5\/14 in decreasing order.\nAnswer: 11, 5\/3, 5\/14, 2\/15, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2164*o. Let g(p) = p. Calculate 10820*g(a) + 4*l(a).\nAnswer: 2164*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1264, 5, 3, -1, -2\/3, -1\/64 in descending order.\nAnswer: 5, 3, -1\/64, -2\/3, -1, -1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 2*h**4 - 4*h + 0*h**2 + 2*h**2 + 0*h**4 + 2 + 0*h**2 to the form n*h + v + i*h**4 + z*h**3 + x*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Suppose -p*g + 12 = -g. Find the third derivative of 7*m**2 + m**5 + g*m**2 + 0*m**2 + 7*m**5 wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4552\/13 - -350. Let f = -10 - -5. Let u = 5248.8 + -5248.7. What is the closest to 0 in u, f, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -12*r + 43. Let s(f) be the second derivative of 0 + 1\/18*f**3 + 1\/9*f**4 + 0*f**2 + 1\/15*f**r - f. Factor s(n).\nAnswer: n*(2*n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*j = 20, -19 + 7 = l + 3*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukaanwnnanuunnf. Give prob of picking 1 k, 1 w, and 1 u.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 20 = -3*z, 24 = -12*z + 17*z + r. Suppose z*j - 21142 - 1069 = -3*i, -4*j + 3*i = -17758. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 7*m - 14*m**2)*(5754*m**2 - 5754*m**2 + 221*m**3).\nAnswer: -3094*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -32.6. Let m = 32.4 + p. What is the nearest to 2 in 18, m, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*z + 40, 3*z + 3 = 23*w - 25*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1063*w**2 - 3*w - 7. What are the prime factors of m(-1)?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*c + 6*c + 10*c - 466*c**2 + 5*c to the form b + d*c**2 + a*c and give d.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, -182, -427, -636, -797?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 4. Let h(c) = -1. Let f(m) = g(m) + 5*h(m). Let z(u) = u**2 - 10*u - 8. Let y(t) = 3*f(t) - z(t). Does 5 divide y(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1622*t**3 + 1163*t**3 + 10*t**3.\nAnswer: 2795*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1620648 and 13176?\nAnswer: 1620648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*n + 75, -62 - 63 = 5*n + 5*h. Let t be n\/(-10) - 2\/4. Solve t*b = -2*u, -5*b + 3*u = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 44030?\nAnswer: 44030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496462233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 3*m + 39 = 0, -2*l - m = -23. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -25*u**2 + 6. Let c(x) be the first derivative of 76*x**3\/3 - 19*x - 2127. Give 6*c(y) + 19*s(y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36c4 + 3?\nAnswer: -36c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -556? (a) -0.3 (b) -2 (c) -208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13165485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/9436 and 139\/6090.\nAnswer: 4104660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(204))\/((sqrt(3) - 5*sqrt(3))*1).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = 25. Determine m, given that -43 - 31 + 60*m + i*m**2 + 9 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from rmrmyrmmzrm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -54. What is the common denominator of (819\/i)\/(-9)*55\/6 and 88\/18 - 0\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9400*r - 883590. Give d(-94).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*4*-5 - 4*(-5*sqrt(110) - sqrt(110)))\/(sqrt(40)*-6 + sqrt(60)\/(sqrt(6)*3 + sqrt(6))).\nAnswer: -16*sqrt(11)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/8)*(s**(-5)\/s)\/s)\/(s**(3\/5)\/s*s**3) assuming s is positive.\nAnswer: s**(-399\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 33 = 3*y - 27, -3*y - x = -70. Let j = -2390 + 2460. Calculate the remainder when j is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 2, h: 1, i: 2, u: 2, q: 5}. Give prob of sequence uqhu.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11 = 3*n, -4*c = -3*n + 3 - 1. Let a be n*((-4)\/108)\/1. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834150.9us in nanoseconds?\nAnswer: 834150900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -73*l**2 + 1464*l + 35. Give c(16).\nAnswer: 4771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1167*u**2 - 1898*u - 5356*u**2 - 1360*u**2 - 9*u**2 + 1898*u.\nAnswer: -5558*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.6 - 26. Suppose -b + 13 = -2. Let i = b + -43\/3. What is the closest to i in -0.3, 2\/15, s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 179079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {f: 2, r: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 284 + 885 - 1 - f - 72 to d + a*f and give d.\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1335 (base 9) to base 13\nAnswer: -5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 7 + 5)*(-4*s - 2*s**3 + 4*s) + 52*s + 15*s**3 - 52*s as v + i*s**3 + w*s**2 + r*s and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 10349, 4751.\nAnswer: -10, 4751, 10349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.09, 1.23, 3, -1\/3, 0.05?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041300319 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8.1 * -777214.7\nAnswer: -6295439.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiwij. Give prob of sequence iwqj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/5) + (-41)\/246?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18866*0.04.\nAnswer: 754.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1)*60*5*(-10)\/(-600). Let t be 17\/4 - (-2)\/(-8). Solve -x + 23 = -t*s, -b*s + 5*x = 2*x + 34 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.16, 2 in descending order.\nAnswer: 2, -2\/13, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/21 - 22\/28. Suppose -34 = -5*m + 31. Let d(a) = -a**3 + 14*a**2 - 14*a + 14. Let v be d(m). Sort 0, v, c in ascending order.\nAnswer: c, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 579 + -535. What is the remainder when 218 is divided by (-3 + 0)*(v\/33 - 8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-8)*-42 + -3. Suppose -z - v = -6*z. Calculate the highest common divisor of z and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2758269 micrograms?\nAnswer: 0.0000000000002758269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-246)\/48)*(46 + (-230)\/15).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 5*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m + 1. Let q be a(0). Solve 2*c - 3*d - 4 = -2, -4*d = -3*c + q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986717 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11146 (base 8) in base 11?\nAnswer: -35a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17694020 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 25 = p. Let s = -384 + 389. Suppose 2*k = f, -s = -8*f + 3*f + p*k. Solve d + 8 + 17 = 4*n, -f*n = d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3 - (-4)\/(48\/(-39)) - (-130068)\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*b = -16, 2*r + b + 11 = 4*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8 = -v + 2*b, 2*v - 5*b - 9 = 0. Suppose -2*j = 4*o - 40, 4*j + 68 = 7*j + v*o. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h*(h*((h\/((h\/(h*h**(-1\/5)*h))\/h))\/h)\/h)\/h*h*(h**(1\/4))**31)**(-5\/3) assuming h is positive.\nAnswer: h**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sruuufsrsfrss. Give prob of sequence rsus.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 6*j + 10. Let y(c) = -11*c**3 + 2*c**2 - 13*c - 21. Let r(d) = 13*v(d) + 6*y(d). Determine r(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 67*d - 59. What is g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20311889022.56036 - 0.5.\nAnswer: 20311889022.06036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85016, 95283, 112394, 136349, 167148?\nAnswer: 204791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111000011 + -11100?\nAnswer: 101110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5293 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24522528 at most as big as 24522528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 584219 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c88 (base 16) to base 15.\nAnswer: -e3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 3*u**2 - 3*u - 66. Let i be n(6). Solve 21*l - 9*l = i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 - (-134 - (-20 + -161))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 12 - 2 = 0. Let u = 156.4 - 128. Let g = -28 + u. Which is the closest to 0.3? (a) g (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f + 15*f + 12*f)*(-4*f**2 - 4*f**2 + f**2).\nAnswer: -49*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 47460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65141?\nAnswer: 65141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10014 - 5698. Is 38 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2811*d**4\/2 + 43579*d**3 - 358666*d**2 + 318405*d - 3825\/2 = 0.\nAnswer: 17\/2811, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, c: 3, w: 6}. What is prob of picking 2 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, d: 2, v: 1, f: 11}. Give prob of sequence dfdx.\nAnswer: 11\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202592, -202590, -202586, -202580, -202572, -202562, -202550?\nAnswer: -202536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x**2)*(-450 + 450 + 150*x**2).\nAnswer: -150*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + -4.94. Let l = 3 + -9. Let g = l + 6.2. What is the nearest to g in -2, z, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2265977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 4:41 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/14*(-4627)\/(-1983)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l**3\/3 + 1. Let k(d) = -2050*d - 160550. Let s(a) = 38*a + 2964. Let w(t) = 6*k(t) + 325*s(t). Give w(c(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/360 and 73\/320.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*w + 5*u, w - 5*u = -9 - 16. Suppose -5*t - 280 = 4*z - 780, -5*t - 2*z + 500 = w. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 5*z - 10. Let v be a(7). Suppose 3*c + 12 = 0, -2*c - v = 2*o - 0*o. Is 7 a factor of -3 - o - (-1 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118345.965 - -118675. Let k = -0.035 + p. Let s = -328.999999583 + k. Round s to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 37, -79 in decreasing order.\nAnswer: 37, 6, 0, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {b: 5, r: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t**2 - 980*t - 1967. Calculate s(-2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 202485*z - 404958.\nAnswer: -3*(z + 2)*(z + 67493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 1)*(-28 + 53 + 96)*(1 - 1 + u)*(0*u - u + 2*u) to z*u + h + g*u**2 and give g.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14.4 - 38631929.6718\nAnswer: -38631944.0718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105694, -211662, -317626, -423586, -529542?\n\"Answer: 2*h**2 - 105974*h + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + d**4 + 3*d**3)*(-21 + 4 - 5)*(5*d - 5*d - d).\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 803494 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3243 (base 5) to base 3\nAnswer: 121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 10. Let a = -10 - -6. Let p be u(a). Solve -p*w + 16 = 4*h, 36 = 5*h - 3*w + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:19 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -2335\nAnswer: 51\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -514 - -406160?\nAnswer: 405343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose r*a + 4 = 7*a. Let d = 2 + a. Which is smaller: -2\/7 or d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 813\/(3 + 45\/54). Let t = -212 + h. Which is the fourth biggest value? (a) -40 (b) t (c) 1\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561704 is divided by 187144?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/2*(-7 + 5). Let w = q + -19. Solve w = -4*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 - 5*r - 4. Let n be j(6). Suppose x = 7*v - 4*v - 13, -2*v + 10 = 0. Are n and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/312 and 63\/390954304?\nAnswer: 1172862912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -906 - -1852. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 465456528 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14742 and 202226544?\nAnswer: 1415585808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24819700 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, r: 4, f: 1, c: 3, q: 1}. Give prob of picking 2 c, 1 e, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twelve sevenths of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33338159?\nAnswer: 33338159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*s + 2*d, -4*s + 2*d + 16 = d. Let p(m) = m - 2. Let g be p(s). Put g, -0.3, -1\/7 in decreasing order.\nAnswer: g, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003371 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 33. Let q(s) be the third derivative of -1\/24*s**4 + 0*s - 2*s**2 + 1\/120*s**6 + o*s**3 + 0 + 0*s**5. Find the second derivative of q(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*v**2 - 309*v - 5*v**3 + 59*v**3 + 309*v wrt v.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 + y + 1. Let k(w) = -5*w**3 - 169*w**2 - 3*w - 4. Calculate 3*c(r) + k(r).\nAnswer: -2*r**3 - 172*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 181522 and 666?\nAnswer: 1633698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -855? (a) 1\/9 (b) 4 (c) -6 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -91. What is j rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -206, -239, -288, -353?\n\"Answer: -8*l**2 - 9*l - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**4 - 4*t**3 - 7*t**2. Let i(f) = f**4 - f**3 - f**2. Let r(h) = -4*i(h) + k(h). What is the third derivative of r(u) wrt u?\nAnswer: -216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*-8*44\/(-440)*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -15*a + 110 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/3*-14*145\/(-812)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 - 5*k**3 + 2*k**3 + (-11 - 4*k - 12 + 20)*(0*k**2 + 3*k**2 - 5*k**2).\nAnswer: 2*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 9. Suppose 8*z + 2 = 6*z. Let h(f) = 8*f**3 + f**2 - 1. Let s be h(z). What is the units digit of a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x**3 + 52*x**3 + 56*x**3 - 111*x**3 + 39*x**3.\nAnswer: 87*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20122470 divided by -30?\nAnswer: -670749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19099*g**2 - 1986*g + 5959*g - 1983*g - 1990*g + 14383*g**2)*(0 + 2 + 0) to the form o + c*g + v*g**2 and give v.\nAnswer: 66964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 16*v + 13. Give w(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-25)\/(-6) - (-68)\/612 and 29*(0 - 3)\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 3) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*w - 178*w + 27540. What is the remainder when w is divided by 109?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n - 1. Let z be p(3). Solve -z = -90*j + 91*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.047 + -10.010976. What is b rounded to three decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = 8. Let u be d\/9 - (-4 + 580\/(-18)). What is the highest common divisor of 36 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*o + 5*o + 2*o)*(0*o - 3*o + 4*o) - 24*o**2 - 14*o**2 - 9*o**2)*(15*o - 15 + 15).\nAnswer: -660*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*15)\/(340\/(-408)) + 0 + 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 86?\nAnswer: -59\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -276 + 278. Let r(m) = -m**3 - 2*m**2 + 2*m + 3. Let a(w) = w**3 + w**2 - 1. Calculate h*a(f) + r(f).\nAnswer: f**3 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.15 and 15.\nAnswer: -77.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/4 - 3032861*w**2\/2 + 459912595552*w - 183964795592.\nAnswer: (w - 606572)**2*(5*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 7800*g + 15580.\nAnswer: 5*(g - 1558)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 16. Let f be r(16). Solve f = -3*q + 2 + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58737, -58740, -58743, -58746, -58749, -58752?\nAnswer: -58755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.69509 to 1 decimal place.\nAnswer: -68.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*l - 5*l - 14, -2*l = 2. Calculate the lowest common multiple of 17 + -23 - ((-28)\/7 + -38) and 21 - (h - -2)\/(-1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2625 + 1085 = 166*k - 60*k. What is the highest common divisor of k and 5005?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61798003 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-21) - -1)\/((-84)\/(-882)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 10:23 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/15 - 20724*l**2\/5 + 32207168*l + 966463744\/15.\nAnswer: 2*(l - 15544)**2*(l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 69, -0.3 in descending order.\nAnswer: 69, 0.04, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + j = 21, -4*j - 2397 = 4*t - 2417 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, -123, 0 in increasing order.\nAnswer: -123, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 2*y**2 - 3*y - 4. Let n be b(-2). Suppose -7*z + 18 = n*z. Find the third derivative of -6*i**z + 2*i**6 + 402 - 402 + 12*i**6 wrt i.\nAnswer: 1680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -85. Let z(n) = 2*n**2 + 1. Let k be z(-1). Suppose 1 = k*a - g*q - 28, 3 = a - 5*q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-19)\/u**(-10))\/(((u**(1\/6)*u)\/u)\/u)**(-1\/7))**(2\/11) assuming u is positive.\nAnswer: u**(-383\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 4*b - 5. Let n(r) = -7*r**2 - 7*r - 11. Let q(x) = 2*n(x) - 5*t(x). Determine q(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 285, -2\/3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 46*n + 3380. What is r(-73)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*x - 101*x + 540 = 0. Suppose -31*q - x = -q. Is -11 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - 30. Let i = -7047\/776 - -20\/97. What is the common denominator of 223\/12 + (-10)\/y and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 904*f + 5. Let k(r) = -2*r. Calculate k(c(s)).\nAnswer: -1808*s - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 698018917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008022 rounded to 6 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 86 in -5, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/837962?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -222. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 22*d**2 + 28*d + 1. Let y be x(21). Suppose -5*i = 97 + y. Calculate the remainder when 128 is divided by (-1267)\/i - 1\/(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 28766 + 8494 = 0. Let l be 7\/(-6)*r\/210. Let h = 491\/28 + l. What is the biggest value in h, 1\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001000 - 10011000?\nAnswer: 10000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 351 + -44. Suppose 2*z + l = 5*s, -266 = -5*s - z + 53. Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 62*r - 581. Is 17 a factor of j(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2128 (b) -10 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265098450 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 161*s**2 + 10*s - 1627. Give b(161).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) 4 (b) -23769 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102, 86, 82, 90, 110, 142?\n\"Answer: 6*m**2 - 34*m + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -347328 divided by 804\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/12 - 3*g**3\/2 - 2*g**2. Let y be h(6). Let w be (-2)\/3*y - 3. Let t(z) = -z + 1. Determine t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -27231038?\nAnswer: -27231045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (16 - 16 - 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.4 + 37. Let k = z + -2.6. Which is the biggest value? (a) -2\/11 (b) k (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1053) + -4*(sqrt(1053) - (sqrt(1053) + sqrt(1053)*2)) + sqrt(1573)*1 + 3)**2.\nAnswer: 1472*sqrt(13) + 110096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1) - (22 + 184). Let n = u - -506. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 2*f**2 + 3*f - 52. Let s(m) = 5*m**3 + 12*m**2 - 16*m + 285. Let c(x) = -11*p(x) - 2*s(x). Let o be 1\/(-2)*6*-1. Calculate c(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1206, 3, -2\/3, 1 in increasing order.\nAnswer: -3, -2\/3, 1, 3, 1206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfqggqfffgg. Give prob of picking 1 f and 1 g.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**3 - 41*u**2 + 14*u - 9. Calculate p(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9044337*t + 9044500*t - 2282 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202600*y + 140 = 202572*y. What is the smallest value in -1\/4, -3, -0.05, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -97*v**7\/420 - 103*v**4\/24 - 35*v**3\/2 + 158*v**2. Let r(w) be the first derivative of n(w). Differentiate r(f) wrt f.\nAnswer: -582*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.672307 to one dp.\nAnswer: 51.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*v**3 - 15*g*v**2 + 19*g*v + 49*g - 47*v**3 + 1 wrt v.\nAnswer: 6*g*v - 30*g - 282*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 41. What is the highest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-438635)\/715*(-1)\/(-2). Let n = 4052\/13 + p. Find the common denominator of n and -73\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115382 is divided by 57689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(4 + (-2825)\/705). Suppose 2*g - 5*v - 23 = 8, 0 = -2*g - 5*v - 19. Suppose 0 = -g*d + 9*d - 564. Calculate the highest common divisor of d and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600820 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 10\/(2\/2). Let s(n) = -3*n**2 + 11*n + 14. Let r be s(8). Let x be ((-3)\/(-4))\/((r\/(-6))\/60). Solve 0 = -x*u - 0*u + v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u + 4. Let p(j) be the third derivative of 3*j**4\/8 + 5*j**3\/6 + 4*j**2. Let x(w) = -5*p(w) + 6*q(w). What is the derivative of x(m) wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 2, m: 4}. What is prob of sequence mzzz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1367.9412 not equal to -0.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**3 + 318*o**2 + 20*o - 107. What are the prime factors of z(-27)?\nAnswer: 2, 13, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/(4656\/774 - 6). Let r = 40 - q. Let n(f) = -2*f - 16. Let j be n(-10). Put j, r, 5, 3 in increasing order.\nAnswer: r, 3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*w - 741 - 304. What is the highest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*4*(-3)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13875 and 78255?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26496.27691 rounded to 0 dps?\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 25128 in ascending order.\nAnswer: -1, 1, 25128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -27. Suppose 35 - q = 2*a - 5*b, -5*a + 5*b = -30. Suppose 5*z = 5*w - 20 - 10, -2*w - 5*z = a. Solve 3*j - w = 7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(11 + 1575\/(-36)). Solve g - 221 = -10*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/1)\/(-64))\/((-11)\/44).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-10))\/3*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g + 5, -4567 = -5*l + 3*g. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*m - 178*m - 26550 = 0. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0.11, 0, -2.1 in increasing order.\nAnswer: -5, -3, -2.1, 0, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17006*n**3 + 21523*n**2 wrt n.\nAnswer: -102036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 4 + (-3 + 3 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 7. Let a be f(5). What are the prime factors of 2 - (a\/(-5) + 447\/(-5))?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 2. Suppose -n = -5*z - 14, 3*n + 2*n - 18 = -z. Let q(g) = 3*g + 1. Determine n*l(f) - 5*q(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*1)\/((-12)\/20). Suppose -j*h = -x - h + 10, 5*h = 5*x - 20. What is the units digit of 0\/(8\/x) - -62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -13*z - 7. Let u be a(-1). Suppose -2*r = 5*t - 40, -u = -3*t + r + 18. Suppose t*s - 198 = -6. What is the smallest common multiple of 30 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105914093?\nAnswer: 1399, 75707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (285\/(-171))\/(5\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**2 + 26*w - 50. List the prime factors of p(7).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5783708, 11567418, 17351134, 23134862, 28918608, 34702378, 40486178, 46270014?\nAnswer: 52053892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -3401.94?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24937, -28, 5, -1 in increasing order.\nAnswer: -24937, -28, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*r**2 + 1085*r - 1 - 3244*r + 1079*r + 1081*r - 2*r**4 + 94*r**2 + r**3 in the form k*r + n*r**2 + x*r**3 + z*r**4 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4516*t**4 - 4079 wrt t.\nAnswer: -18064*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4559351ns to seconds.\nAnswer: 0.0000000004559351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:05 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003163122 to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 14) to base 7\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*c - 186*c. Let q(d) be the second derivative of 1\/20*d**5 + 0*d**3 + 0 - 6*d**2 + c*d**4 - 16*d. Find the first derivative of q(k) wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1100, -7433, -24614, -58067, -113216, -195485, -310298?\n\"Answer: -904*u**3 - 5*u - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003349351 to six dps.\nAnswer: -0.000335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15038732.\nAnswer: 2, 3759683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2159111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2)*q*q)\/q)**14\/(q\/(q\/(q*(q\/((q*q**2)\/q*q))\/q))*q\/(q\/(q\/(q\/(q\/(q\/((q\/q**(1\/3))\/q))))))*q) assuming q is positive.\nAnswer: q**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 10, 63, 168, 343?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 370*q**2 + 33553*q\/4 + 30597\/2.\nAnswer: (q + 2)*(q + 21)*(q + 1457)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 458200392 and 400925343?\nAnswer: 3207402744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 134.076 + -0.076. Let m = -133.99 + w. Let l = 0.01 - m. Is 66 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.13 - -1.73. What is the closest to -4 in d, -0.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 1533*m**5\/4 - m**4\/2 + 591*m**2\/2 + 6284*m. What is the third derivative of t(w) wrt w?\nAnswer: 45990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -288 (c) 4 (d) -0.01 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + (-267)\/(-5). Let c(h) = h**2 - h - 30. Let p be c(-9). Let w be -9 + (-6 - (-6 + -3)) + p. Is w bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4\/7, 73?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h - 11*h - 8*h)*(-5*h**2 + h**2 + 5*h**2).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**2 - 4*n**3 - 3*n**2 + 6*n**2 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -632, -947, -1262, -1577, -1892?\nAnswer: -2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/7)\/(165\/(-504) + (828\/96)\/23)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.441+2460170821\nAnswer: 2460170821.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(0*y**3 + 3*y**3 - 4*y**3) - 6*y**3 - y**3 - y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 117 + -115 + 0 + -1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*-2*sqrt(847) - (sqrt(847) - (sqrt(847) - (sqrt(847) - (sqrt(847)*-1 + 4)))))**2*6)*-3.\nAnswer: -1524879 + 15840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/(-10) + 2)\/((-6)\/8). Suppose k*i + 11 = 27. Calculate the lowest common multiple of 1 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 1)*(-5*w + w + 2*w) + (-w - 6 + 0*w + 5)*(2 - 6 - 4) in the form n*w + l and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgmm. What is prob of picking 1 g and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 4*i**2 + 5*i**2)*(13 + 63 - 20) + 5*i - 5*i - 9*i**2.\nAnswer: 103*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13669394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 278, -160 in decreasing order.\nAnswer: 278, 0, -8, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -2)\/(12\/(-18)). Let o(c) be the third derivative of 0*c - 1\/4*c**4 + 0 - 1\/3*c**d - c**2 - 1\/15*c**5. Let o(y) = 0. What is y?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*i - 12, 146*w = -3*i + 141*w - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2099 or -0.07147?\nAnswer: 2099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513141 + 2?\nAnswer: 513143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**13)\/h*h)\/h**11)\/(h**(-3))**(11\/9) assuming h is positive.\nAnswer: h**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Suppose -g = p*g - 20. Suppose 0 = 4*r + 2*a - 6, -3*r + 5*a + 9 = -7*r. Calculate the remainder when g is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15938813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325795?\nAnswer: 5, 11, 17, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-310)\/(-18) + (-14)\/63. What is the highest common factor of f and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 680, 8678, 30380, 72638, 142304, 246230?\n\"Answer: 1142*o**3 + 4*o - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -13*x**6\/30 + 7*x**4\/12 - 69*x**2\/2 - 14*x. Differentiate f(z) with respect to z.\nAnswer: -52*z**3 + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620381.4us in seconds?\nAnswer: 0.6203814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/12 - -17\/60. Let w = 8.8 + -10. Let f = -1.7 - w. Which is the nearest to 0? (a) -3 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Suppose -a = 11*i - 7*i - 27, a - 3*i = -8. Suppose b*l + 62 = 4*o, -3*o = 2*l - 36 + a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3289 times 0.02632\nAnswer: 86.56648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93992420 divided by 20?\nAnswer: 4699621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t**4 - 16*t**3 + 550497*t**2 - 161283364 wrt t?\nAnswer: -12*t**3 - 48*t**2 + 1100994*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76037942 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-32) + (-573)\/(-48). Let n(w) = -8*w + 4*w + 9 + f - 17. What is n(9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 42*v**2 - 2*v - 2. Give g(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x. Let w(c) = 21*c. Let q(d) = -9*o(d) - 2*w(d). Let i(y) = 45*y. Let b(u) = -11*u. Let v(z) = -9*b(z) - 2*i(z). Determine v(q(h)).\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80))**2*-1 - (sqrt(245) + -1*sqrt(245))**2 - (-2*sqrt(35)\/sqrt(175))**2.\nAnswer: -404\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/85)\/(10\/225). Let n = u - -395\/136. Let k = -3\/1240 - 6431\/620. Find the common denominator of k and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 49*c - 23. Calculate g(25).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 take away -0.38?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 540 times -1\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 11*d**2 - 6*d**2 + d**2 + 0*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 + i + 11. Let w be p(-5). Let o(v) = -v**2 + 8*v - 9. Let t be o(w). Solve 5*x + u - 2 = 0, t*x - 3*u - 18 = 2*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {u: 1, s: 6, i: 12}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 101 - 101 + (8*o - 9*o + 14*o)*(o + 0*o - 2*o).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159184980?\nAnswer: 2, 3, 5, 294787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 13*m + 52. Let x = -11 + -4. What is the remainder when 15*3 + (2 - 4) is divided by l(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)*-5)\/((sqrt(100) - (sqrt(100) + (sqrt(100)*-2 - sqrt(100)))) + sqrt(100))*-2.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 + 2*p - 1. Let w be l(-3). Let s be (3 - w)\/1 + 13. Calculate the highest common factor of 98 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let b(d) be the third derivative of -d**5\/30 - d**4\/6 - 2*d**3\/3 - 6*d**2. Determine -b(q) + 4*v(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 10*t, -4*t + 7*t = -5*o + 8*t + 30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14951450628 plus 0.05509?\nAnswer: -14951450627.94491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 86.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.004 take away 3818?\nAnswer: -3816.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 divided by -9?\nAnswer: -443\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*n + 3*z, 0 = 3*n - 4*n - z + 7. Let w be 72\/16 - n\/(-4). Suppose 2*m = -w*u + 164, 0*m = 3*u - 4*m - 88. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 2. Let a be r(0). Solve 2*f = -2 - a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:51 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3367488 divided by 12\nAnswer: 280624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -53, -117, -203?\n\"Answer: -11*q**2 - 9*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2214 + 2209. Which is the third smallest value? (a) k (b) -2\/5 (c) 9 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429\/(-9) + (-399)\/1197\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -1789, -2679?\nAnswer: -3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87\/2797 or 0?\nAnswer: 87\/2797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 486754673.0000204 - 486754766. Let n = 93 + v. Round n to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 61, -156, -108, 0 in descending order.\nAnswer: 61, 1, 0, -108, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - 1324031011?\nAnswer: -1324031130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325 - -1212551?\nAnswer: 1212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.7 - -13.99. Let i = n + 1.7100071. Round i to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/126)*(12\/(-49))\/(574\/(-4018)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 55 + 218 - 94 to the form i + n*j**2 + h*j and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (78\/936)\/((-15)\/(-40)). Find i such that 0*i**2 + 0*i + 0 - 14\/9*i**4 + b*i**5 + 4\/3*i**3 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17516911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 62638\nAnswer: -2\/31319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1487.21823 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19900*c**3*q**3 - c**3 - c**2 + c*q**3 - 3*c*q**2 + 2*q**3 - 350*q wrt q?\nAnswer: -119400*c**3 + 6*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 127 and 8.\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 21 + -110 + 99?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1338511*b**3 + 30237*b**2 - 8 wrt b.\nAnswer: 8031066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**3 + 2654*y**2 - 307*y - 27288. Determine h(379).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7053794*m**3 - 16848*m**2 + m wrt m.\nAnswer: 42322764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/561)\/(2\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -269569966 to the nearest one million.\nAnswer: -270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 5}. Give prob of picking 3 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0*d**2 - 7\/20*d**4 + 0*d**3 + 36*d + 0 - 1\/50*d**6 + 6\/25*d**5. Factor p(i).\nAnswer: -3*i**2*(i - 7)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 243964, 975852, 2195664, 3903400, 6099060?\n\"Answer: 243962*m**2 + 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 92b + 3ac36?\nAnswer: 3b864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111859.2 rounded to the nearest 1000?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjuwjwwjwwuwuwuwwwj. What is prob of picking 1 j and 1 u?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 7*f + 8. Let y = 23 + -32. Let u(i) = -i**3 - 10*i**2 - 11*i - 2. What is the least common multiple of r(7) and u(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -82, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l - 2. Let g(j) = -532*j + 119. Calculate -6*g(h) - 357*z(h).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 + -3 + 3\/(-3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -134460, -134446, -134408, -134334, -134212, -134030, -133776, -133438?\n\"Answer: 2*x**3 - 134462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 49 = -4*o, 4*o + 132*g = 136*g + 52 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217440 and 83805?\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 49 = 91. Calculate the remainder when 102 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5695 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 + -5 - -5. Suppose t - 8 = 2*k - 11, n*k - 5*t - 8 = 0. Which is greater: k or -12\/31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -8*r - 4. Solve 6*w - r*x - 2 = 2*w, -5*w = 5*x - 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*o + 5*i - 65, o - 5*i + 5 = 0. Suppose -22 - o = -7*y. Let q(d) = -8*d**2 + 5*d + 5. Let v(t) = -8*t**2 + 6*t + 6. What is y*q(m) - 5*v(m)?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3854, 16328, 37138, 66290, 103790, 149644, 203858?\n\"Answer: b**3 + 4162*b**2 - 19*b - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 4307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*b**2 + 5*b**2 - 7*b**2 + 15*b**2 to the form x + a*b**2 + d*b and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*c = 2, -4*u + 4*c + 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 = -3*g - 0, 4*g + 12 = 0. What is the least common multiple of 1 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 867715*z + 1735410.\nAnswer: 5*(z - 173541)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -16. Let g be 68\/(-144) - (-2)\/8. What is the third biggest value in i, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 - 15*h**2 + h - 5. Let b(q) = -q**3 - q**2 - 1. Let x(z) = -5*b(z) + o(z). Calculate the lowest common multiple of 9 and x(10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 1\/2*n**3 + 0*n**5 + 0 - 7*n**2 - 1\/15*n**6 + 0*n**4 + 0*n. What is the first derivative of f(c) wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 4, u: 12, w: 2}. What is prob of sequence cuww?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1617972.34 from -518.\nAnswer: -1618490.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 18 = -6*q - 9*v, -2*q - 17 = -3*q - 2*v + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcpo when four letters picked without replacement from {l: 1, p: 2, w: 1, c: 1, o: 1, k: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 27*c + 3 - 3*c + 5*c in the form x*c + f and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(-2\/3)\/((l\/l**4)\/(l*(l**(-4)\/l)\/l)))\/((l**(-1\/4))**(-30)\/(l**(-1\/4)*l)**43) assuming l is positive.\nAnswer: l**(1381\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 1, 5, 3, -5 in descending order.\nAnswer: 5, 3, 1, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or 59?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 510*d**2 - 496*d**2 + 4*d**3 - 6*d - d**3.\nAnswer: 3*d**3 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -489 - -918. Calculate the greatest common divisor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 c when four letters picked without replacement from wbxybcwbcyyyyxybyty?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.5, 264, 2, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 3*b + 1. What is u(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 42. Let d = t + -4. Solve -z - d = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189 - -232. Let j = 32 + 15. Let d = j - z. Sort 0.5, 2, 5, d.\nAnswer: 0.5, 2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/9 + 669256*d**4\/9 + 55998655984*d**3\/9 + 1791349357952*d**2\/9 + 2164478325344*d\/3 + 696605673344 = 0. What is d?\nAnswer: -167298, -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8030 - 8032. Which is the nearest to s? (a) -1 (b) 5 (c) -2\/5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 129030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-44)*4 + 31\/11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -5. Let l = -6 + h. Which is smaller: l or 7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13883 * -0.05\nAnswer: -694.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19257 and 9170?\nAnswer: 192570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.85 and 124.\nAnswer: -1345.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 638 and 55132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 3. Suppose 5*h = 10*h + 25. Let i be y(h). Let q be ((-11)\/(-33))\/(i\/6). Calculate the greatest common factor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1296)\/(-11592))\/(21\/392*8).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-21)\/6*2. Let t be (-6)\/((-716)\/(-104) + z). Calculate the highest common divisor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oll when three letters picked without replacement from tottooooolol?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5 - 48592*m**4 - 3*m**3 + 145774*m**2 + 97184*m = 0.\nAnswer: -1, 0, 2, 48592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-44)*3102\/(-3384)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132136 is divided by 132135.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2\/73)*t*t*t)\/(t\/(t*t**(1\/10)*t)) assuming t is positive.\nAnswer: t**(4433\/730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + u + 0*u = 35, 0 = -u - 5. Let f = v - 6. Find x, given that 2*x**2 + 0*x**f - 4*x**2 + 2*x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t + h = 1, -3*t - 1 = h. Let v be 2*(t\/(-2))\/1. Let k be (-3)\/((-3)\/(2 + v)). Solve 3*c + 0 = k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -243168.\nAnswer: -243168.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 - 66*p + 70. Let w(q) = -q**2 - 9*q + 1. Let i(d) = -f(d) + 6*w(d). Suppose i(n) = 0. What is n?\nAnswer: -16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 = -39. Suppose 4*q = -q + 315. Suppose -159 = -6*k - q. What is the remainder when l is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*n - 512 - 712 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 - 7*g**4\/12 - 23*g**3\/2 - 54*g**2. Calculate the remainder when 144 is divided by f(20).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5558 + -5532. Solve -24*k = -a*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 6 (b) 0.5 (c) 2 (d) -230 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -25, -34, -57, -100?\n\"Answer: -h**3 + 2*h**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x + 533 + 532 - 1065.\nAnswer: -54*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2387273 or -2387272?\nAnswer: -2387273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 98a0?\nAnswer: -98a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 9*y**2\/2 - 35*y + 20. Let f be r(16). What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 9*t - 3*s, 6*t + 11*t + 45 = 16*t - 59*s - 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c + 3\/4*c**6 + 0 - 4\/5*c**5 + 0*c**3 - 5\/21*c**7 + 2*c**2 + 1\/3*c**4. Suppose r(j) = 0. What is j?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*p**3 - 12*p**2 + p**3 - 2*p**2 - 3*p**2 + p**2 - 64*p wrt p.\nAnswer: 6*p - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 + (21 + 1 - (31 - 40)). Solve -26*o + 25*o - 5*i = 0, -4*o + i = -n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 31759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -747510.7\nAnswer: -747501.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3380 - 551 - 6451*r + 6450*r.\nAnswer: -r + 2829","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 11*q = 90. Let c = q - 179\/2. Factor 1\/2*d**4 + 1\/2 + c*d**5 + 1\/2*d - d**2 - d**3.\nAnswer: (d - 1)**2*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 18*c**2 + 16 to the form g + m*c + s*c**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249.8 - 0.0131205.\nAnswer: -249.8131205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i + 0*i - 3*i)*(30*i - 30*i - 9*i**4) + 3*i**5 + 6*i**4 - 6*i**4.\nAnswer: 111*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23608 = -263*y - 23871. Let a(v) = 5*v**3 - 6*v + 6. Suppose -q + 0*q - 19 = 5*i, -q + 4*i = -26. Let p(r) = -r + 1. Give q*p(w) + y*a(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 43. Suppose 4*p + 400 = t, -p + n*p - 1178 = -3*t. Let y = -214 + t. What are the prime factors of y?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/35*(-4 + 44 + -50)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -387 - -614. Suppose c = -0*h - 3*h + 675, h = -c + z. Find the second derivative of -o - 7*o**5 + h - 224 wrt o.\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98.3 - -95. Let v = 3.3 + n. What is the second biggest value in v, -2, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -631148 - -3?\nAnswer: -631145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14594, 14176, 13480, 12506, 11254?\n\"Answer: -139*i**2 - i + 14734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 424 and 1444992.\nAnswer: 1444992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7\/140*12 + 15 + 966\/15\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 3, i: 2, v: 1}. What is prob of sequence hiv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -157, -346, -537, -730?\n\"Answer: -b**2 - 186*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c - 3 + 122. Let p(g) = 2*g + 4 - 14 + c. Determine p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -6, 2171, 38.\nAnswer: -6, 29, 38, 2171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 21 - 10 - 5 - m - 3. Calculate k(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 1.7 (c) 16.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + 5.3. What is q rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + t**2 + t - 1. Let q be f(1). Which is the nearest to q? (a) 2 (b) -1 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -21, 5 in decreasing order.\nAnswer: 5, 3, 1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*h**2 - 5 + 6*h**2 + (-2*h + 2 - 2)*(3*h - 6*h - h) - h**2 + 2*h - 2*h.\nAnswer: 9*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:59 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(125) + 2 - (sqrt(25)\/(sqrt(5) - sqrt(5)*-3) + sqrt(5))**2).\nAnswer: -125\/16 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:55 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 + 21 = 5*q, -4*u + 23 = 5*q. Let g be (-26)\/(-9) + 51\/459. Do g and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/(-20))\/(-3)*(-40)\/70. Let r = -9\/32 + 1\/32. Which is the second biggest value? (a) i (b) -2 (c) r (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392418 and 48258288.\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (2 + (-9 - (0 + -2))). Is 21\/5 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 70*r**2 - 87*r + 1236. Give q(69).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 o when three letters picked without replacement from {o: 5, x: 2, l: 2}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spyspyysyy. What is prob of sequence yssy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 38 + 5 = -2*o, 3*o - 32 = 4*n. Let d = 7 + n. Let s(f) = -3*f**3 - 2. Let j(r) = -13*r**3 - r - 9. Give d*j(z) - 9*s(z).\nAnswer: z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 12:01 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*u - 142*u - 35650 = 279*u for u.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 172015377*s**4 - 905*s**3 - 2*s - 172015378*s**4 + 0 to o*s + z + g*s**2 + w*s**4 + t*s**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 62\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*n = u - 6, -n = -4*u + 27. Let r(o) = 4*o - 6. Let p be r(6). Calculate the highest common divisor of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3c99 (base 16) in base 12?\nAnswer: -6ab075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Suppose -y*u + 35 = -9. Let b(a) = 30*a**2 + 604*a - 1207. Let l be b(2). Calculate the highest common divisor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(2 - 10). Suppose k*y = 8*y - 8. Let j = 25\/44 - -2\/11. What is the nearest to 0 in -4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -2*i - 3*v, 0*i + 5*v + 47 = i. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 2.2. Let s = l + 3. What is the biggest value in 2, 0.1, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 16*y - 3*y + y**2 + 9 - 13*y. Let h(w) = w**2 - 4*w**2 + w**2 - 2*w**2. What is h(n(j))?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182788.\nAnswer: 2, 45697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from efeeeffeee.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*a + 349, 3*t + 0*a + 2*a - 516 = 0. Let w = t + -88. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -74*-2*2\/8. Let v = x - 22. What is the highest common factor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1261 + -5 - -7)*(-2)\/(-6).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/(-8))\/(8\/(1680\/(-255))) and ((-158)\/24)\/(0 + 1).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9128.990478 - -9129. Round c to 4 decimal places.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 + 0.1. Let d = 161 - 163.34. Let j = u - d. Round j to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100427*k**3 - 301527*k**3 + 100542*k**3 + 100543*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 3\/31 (c) -2\/23 (d) -5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/118412 and -19\/118412?\nAnswer: 118412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:17 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -15*d - 2. Which is the second smallest value? (a) 2 (b) 0.28 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 15*k - 3. Let g be a(2). Suppose 33 + g = 3*v. Suppose -3*o - 5*j + 0*j = v, 4*o = 2*j + 8. Solve o = -4*l + 5*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 12*i - 1. Give w(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3500, -7003, -10514, -14039, -17584, -21155?\n\"Answer: -z**3 + 2*z**2 - 3502*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -174048 divided by -1036\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 115360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (65 - 32 - -34).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 37 + 107 = 0. Let n = v + 36. Are n and 24 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 20*i + 27 = 0. Is i\/(-15) - 6290\/(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.43, 0.1, 7, -3, 0.017 in descending order.\nAnswer: 7, 0.43, 0.1, 0.017, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-5)\/(-180))\/(2\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*1)\/(9\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120764 - 8?\nAnswer: 120758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Suppose 4*o = -12, -2*o + 2 = -2*v + 8. Suppose -4*m = q*u - 66, 5*m - 3*u - 62 - 34 = v. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000557435008 rounded to six dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 28. Calculate the remainder when g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(5*(sqrt(70)*-1 - sqrt(70))\/sqrt(10) - (sqrt(1008)*-2 + 3*(sqrt(7) + 1) + sqrt(7))) + -2)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 122. Calculate the highest common factor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*q + 468 = 0, 112*a + 896 = 114*a - 2*q. Calculate the lowest common multiple of a and 22.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10509*y**2 + 36*y - 4. Let o(f) = -4455816*f**2 - 15255*f + 1695. Determine -4*o(m) - 1695*u(m).\nAnswer: 10509*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44516829*t**3 + 1516*t**2 + 5*t - 184?\nAnswer: -267100974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-2\/23)\/(m*m*m**2*(m*m**(-6))\/m)*m**(1\/3)*m**2*(m\/m**(-1\/3))\/(m*m**(-1\/2)*m) assuming m is positive.\nAnswer: m**(587\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 0*p**2 + 2*p**2 + 2*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 2*x**2 + 6*x + 3. Let i be a(-4). Suppose 0 = 3*b - 6*b + 93. Calculate the remainder when b is divided by i\/2*(-2)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-52)\/(-8))\/(-13)*-582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 - 3 = -v, -4*o = 3*v + 3. Solve -5*z + 13 = 3*r - 6*z, 5*r - 17 = -v*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 62. Let p(x) = 9*x. What is p(d(r))?\nAnswer: 27*r + 558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23903 + 71707\/3. Let g = -3 + 2. What is the second smallest value in d, 4, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 81. Solve 0 = 5*b + 2*j + m - 13, -5*j = -b - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcs when three letters picked without replacement from {g: 2, e: 1, s: 12, l: 1, c: 3}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 112*k**2 + 109*k + 58. Let y be x(55). Solve -2*v + 4*q - 32 = 3*v, 4*v + 7 = -y*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 174*r**2 + 179*r**2 - 354*r**2. Let z(s) = 4*s + 9. Determine f(z(i)).\nAnswer: -16*i**2 - 72*i - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -3\/4 (c) 2 (d) 0 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -23 + (26 + -19 - -26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 173674861 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvhvvhhhnthtntvhy. Give prob of picking 1 v and 2 n.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**10\/5040 - k**6\/180 - 2*k**3 - 4. Let v(q) be the third derivative of h(q). What is the third derivative of v(f) wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, 0, 0.1, 1\/2, -5, 8168 in increasing order.\nAnswer: -5, -0.4, 0, 0.1, 1\/2, 5, 8168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -785, -7 in decreasing order.\nAnswer: 1, -7, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 832 and 2106?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 44812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 5*o - 5*o**2 + 5*o**2 + 0*o - 3*o**3 - o**4 to the form h*o + u*o**3 + q*o**2 + n + l*o**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10030 (base 4) to base 14.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((105056\/(-201))\/(-112))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -264 and 728091985305.\nAnswer: 728091985041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 593296 equal to 593294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -182*j**2 - 4*j. Let g(x) be the first derivative of x**2 - 4435. Calculate g(b(f)).\nAnswer: -364*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050 divided by 3.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 229158.8ml?\nAnswer: 229.1588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3483415?\nAnswer: 5, 13, 53591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 219*g**2 + 9*g**3 - 18*g**3 + 110*g**2 + 143*g**2.\nAnswer: -2*g**3 + 34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.30679 + -0.30679. What is the nearest to 3 in 3, 2, 104, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5984 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1010*g**4 - g**2 - 59*g + 16?\nAnswer: 12120*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1522179?\nAnswer: 5\/1522179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3875 = q - 4*n, 5*q + 14*n - 18*n - 19455 = 0. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(0 - (-37)\/(-2)) is divided by ((-13)\/(-5))\/((-6)\/(-30))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 38. Suppose -5*y + 2*t = -79, -y + 0*t + n = -2*t. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 6*m**2 - 4*m + 20. Let q be y(6). Let b(h) be the first derivative of -2*h**2 + 1 + 7*h - 8*h + 3. Give b(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j. Let u = 10698\/5 + -2610657\/1220. Let z = u - -2\/61. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2085 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 130493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcchgagm. Give prob of picking 1 a and 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 108. Let r = d + -17. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 + -243. What is the smallest common multiple of -7*(0 - 3) + 1 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -143 greater than or equal to -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*h - 14 = 3*h, -4*k + 4*h = -16. Let d = k - 3. Calculate the common denominator of d\/4 - (-32)\/(-6) and -31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10824.5 - 10824. Put 150, g, -1\/3, 0.4 in ascending order.\nAnswer: -1\/3, 0.4, g, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 o, 1 q, and 1 r when four letters picked without replacement from ouoccuqr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*r + 249*r**4 - 7 + 2*r**3 + 4*r**2 - 4*r**2 - 247*r**4 + 2 to y*r**3 + g + f*r**4 + u*r**2 + x*r and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 17 - 5. What is the remainder when 49*i*2\/(-8) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3353337205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192134863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-15))\/((-1120)\/(-22400))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29782504 and 680?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*(n*(n*n\/((n**(-3)*n)\/n))\/n)\/n)\/(n\/((n\/(n*n**(1\/4)\/n))\/n)*n**(-2\/3)) assuming n is positive.\nAnswer: n**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6*s = -81, -5*j - 47*s = -56*s + 169 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -28, -46, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20786 or -20793?\nAnswer: -20793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 28 = -4*l, 0 = 2*l - 3*q - 0 - 4. What is the highest common factor of l and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(175))*6.\nAnswer: 8 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 154*k + 156.\nAnswer: -2*(k - 78)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16073 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 o when four letters picked without replacement from {d: 8, o: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-1\/7)\/a)\/a)\/a**12)\/(a**(-11)*a**(7\/2)))**(1\/28) assuming a is positive.\nAnswer: a**(-93\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-4*v + v + 0*v)*(-2 + 2 - 4*v**3).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 12. Let l be j(13). Let s be (-3)\/3*l*-4. Let t be (92\/(-138))\/((s\/15)\/2). Let d(z) = -2*z**2. Let f(b) = -2*b**2. Give t*d(a) + 6*f(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8120 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 490 + -473. Suppose -2*z + 105 = y, 0*z + 189 = 4*z - 5*y. What is the highest common factor of p and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, i: 2, g: 1, r: 5, d: 3}. What is prob of picking 1 d and 1 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 7*c - 6. Let l be j(4). Let b be -6 + (l - -2) + -1. Solve -19 = 5*u + b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561, 747, 927, 1101?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y - 81 = 2*r, 0 = -r - 2*y - 36. Let i = -48 - r. What are the prime factors of (-3)\/i*3*(-960)\/(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 0 + 0)*(7*w**4 - 3*w**4 - 2*w**4) + (-2 + w + 2)*(-3*w**4 + 19*w - 19*w) - 3*w**5 + 3*w**5 + 2*w**5.\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 9*g + 9. Let p be j(8). Suppose 2*s - p - 7 = 0. Let n = -15 - -63. Calculate the highest common factor of n and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130453960 to the nearest integer?\nAnswer: 11422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2246*m + 4. Let o be s(1). Suppose 20*t = o + 3610. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -12. Suppose -5*b + r = -8. Let w be 1\/(-2)*(-4 + b). Solve -2*d + 4*d + 4 = w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 4*k**2 + 7*k + 12. Let y be j(-5). Factor -v**2 - 3*v + 3*v - 16 - 16*v - 3*v**y.\nAnswer: -4*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 249 and 108.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -16*v. Let f(z) = 11*z - 18. Let g(h) = 12*h - 15. Let o(k) = 5*f(k) - 6*g(k). Give s(o(t)).\nAnswer: 272*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -23611?\nAnswer: -23572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2021, 3665, 5283, 6863, 8393, 9861, 11255?\nAnswer: 12563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1))\/b*b**(-3)*((b\/(b*b*b*b*b**(-3\/2)))\/b)\/(b*(b\/(b**(3\/2)\/b))\/b) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 12*m - 1. Let l be f(13). Let u be (-34)\/51*l\/(-10). Determine k so that -6\/5*k + 2\/5*k**2 - u*k**4 + 6\/5*k**3 + 2\/5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/154 and 13\/220?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)*v**(-1))**(-44)\/(v\/((v\/((v*v*v**(1\/7)\/v*v)\/v))\/v)*v**(-3)*(v*v**3*v)\/v*v*v**(-3\/4)*v) assuming v is positive.\nAnswer: v**(1849\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-9*44\/1386.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 6. Let r be (-1)\/4 - (-2)\/8. Suppose -1 = 4*w - 5*l, r = -2*w - 2*w - l - 19. Calculate p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = p - 14, 5*a + 2*p + p - 30 = 0. Solve -11 = -5*m + a*d + 18, d + 19 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 10. Let q(o) = o. Let a be 0 - 1 - -1 - -1. Let z(s) = a*g(s) + 2*q(s). What is the units digit of z(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -2\/9, -3, 0.031, -4, -187?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-44))\/((-11)\/132). Let t = 1 + -1. Is t bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:42 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -21 + 160\/((-96)\/(-12)). Which is smaller: -4\/3461 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(72)\/(sqrt(44)\/(sqrt(11)*2)))**2 - ((-2*sqrt(192))\/sqrt(12))\/((sqrt(72)*2 + sqrt(72))\/sqrt(9) + sqrt(8))).\nAnswer: sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50549803595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 180?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331 + 3?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a. Let g(d) be the first derivative of d**4\/2 - d**2\/2 - 5. Let w be g(1). Give k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - (-380)\/6. Suppose -5*r - 4*t = -h, 2*r - 3*t = -6*t + 21. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80499 or -80452?\nAnswer: -80499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5274720 divided by -65934?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c. Let l(u) = -7*u - 47. Let t be l(-7). Let h(r) = -18*r + 37*r + r**t - 19*r. What is x(h(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*g + 16 - 3, 4*y - g = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 464\/696*(-3)\/34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 1692?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (55\/242)\/((-50)\/(-120))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/18 - (427 - 0)*(-32)\/(-96). Which is bigger: 9 or z?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 605*g. Let o(w) = -1266*w + 49. Give o(q(t)).\nAnswer: -765930*t + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 927.\nAnswer: -11124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7363 and 3922?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000091470157 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/23 or 0?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16*z**2 - z + 2. What is l(-2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 6*l - 6. Suppose -3*s + 7*s = -32. What is the least common multiple of 18 and z(s)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -354747993 and 7.\nAnswer: -354747986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/402171 and -39\/3482.\nAnswer: 804342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 3*x**4 + x**5)*(3 - 6 + 2)*(7 - 6 + 5).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 m when three letters picked without replacement from {x: 2, n: 1, m: 11}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -382 (b) -182\/431 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3 in decreasing order.\nAnswer: 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103211250 (base 6) to base 14.\nAnswer: 35b526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/493*(-164807)\/22732?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (18 + (18 - 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45.0769 in -3\/2, 2\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 3406\/169)*-13 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003047 to five dps.\nAnswer: -0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 1\/16*a**4 + 2 + 0*a - 1\/2*a**3 + 9\/8*a**2. Factor v(n).\nAnswer: n*(n - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k*k*k**(-4)*k)**(4\/3)\/((k*k**4\/k)\/k**(-1\/6)*((k**(2\/9)\/k)\/k)**2) assuming k is positive.\nAnswer: k**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l - 58. What is the hundreds digit of w(29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1736*o**3 - 704*o**3 - 48*o**3 + 2055*o**3.\nAnswer: 3039*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*h*j*p**2 + 6*h*j - h*p + 22*p**2 + 18*p wrt p.\nAnswer: -88*h*j + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9411?\nAnswer: 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-180)*(-630)\/(-20) + (2 - (-46 - -1))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4*h**3\/3 - 2*h + 6. What is the first derivative of j(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43974 and 1932413.\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**2 + 9*c + 3. Let s be a(1). Solve 4*f + s = 0, -2*f = 2*u - 4*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/4464 and 137\/13392.\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 7*h - 13. Let q be j(-7). Suppose q = 6*f - 5*f. What are the prime factors of f?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {o: 11, f: 1, z: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/4, 204, -0.2 in increasing order.\nAnswer: -4, -0.2, 1\/4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = 4*r. Suppose r*j = -2*k + 6, k + k + 14 = 2*j. Suppose 2477 + 912 = 3*o + f, -2*o + 2265 = -j*f. Round o to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/31, 2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + -114259947?\nAnswer: -114259992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381 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: Simplify (1 + sqrt(175) + sqrt(7) + sqrt(847) + 1*sqrt(847))**2.\nAnswer: 56*sqrt(7) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 + -1.4. Let g = 5 + -4.8. Let t = 0 + g. Sort -1, y, t.\nAnswer: -1, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -11 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.987130051 to one dp.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16770713 a multiple of 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*x = 13, 4*t + 5*x = 6*x + 16. Suppose -t*n = 3*j - 2*n - 132, -2*n + 174 = 4*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*z + 1690 - 1774, 2 = z + 4*i. Solve 20 = -38*y + z*y + 2*o, 0 = -3*y - 5*o - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.95 + -10. Let x = k + 0.049. Let o = -0.028 - x. Round o to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*((-m + 3*m - m)*(1 - 1 + 1) - 8*m - 2 + 2).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/5 + 438*s**3\/5 + 22356*s**2\/5 + 88872*s + 2336064\/5.\nAnswer: 3*(s + 8)*(s + 46)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.40854 and -1377.\nAnswer: 1939.55958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -581 - -177. Let y = 407 + t. Let n = -1 + 1. Solve n = -y*g - 0*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(57\/70)*(-1306)\/4571\nAnswer: -20\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2912.999973226 + -2913. Round w to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 4*m + 2. Let q be t(4). Suppose -a - q = 0, 2*v = -2*a - a + 8. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 15*q**2 + 47*q - 10. Let i be v(-5). What is the closest to -4 in -4\/3, i, -1\/2, 1\/16?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26602, -26566, -26530, -26500, -26482?\n\"Answer: -g**3 + 6*g**2 + 25*g - 26632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l - 54. What is the units digit of t(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose -o*q + 4*q = 3. Let d(b) = b**2 + 3*b + 2. What are the prime factors of d(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 0.6. What is the nearest to 1 in 0.1, y, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/191 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 582a - 0?\nAnswer: 582a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 9) to base 13.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y + 27. Let w(h) = -2*h - 9. Calculate 4*l(f) + 11*w(f).\nAnswer: 2*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) 3\/109 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1445)\/(-289))\/((-5)\/18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -24, -51, -112, -219, -384?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20448.5768 to the nearest 10.\nAnswer: -20450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-102)\/34*7\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-57)\/27) + (-3349)\/(-153). Which is smaller: j or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.056 in -5.2, -34, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 2. Let t be y(0). Suppose -2*x - 4*p = -46, 3*x - 3*p + 12 = 90. Solve -t*w - 3*w = -x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2426*v - 13439 + 30922 = -43167 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 38 = 5*a. Let t = 527 - 387. Let h = t + -141. Put -1\/2, h, a in ascending order.\nAnswer: a, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75322557*n**3 + 11520*n + 10723?\nAnswer: -451935342*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -48\/11, 8\/35, -120, 0.5, -0.3?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203115507310 - -5.\nAnswer: 203115507315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 + r + 2. Let k be (32 - (13 + 18))\/(-2 + -1 + 2). Let z(w) be the third derivative of w**5\/60 - w**3\/6 + w**2. Calculate k*c(v) - 3*z(v).\nAnswer: 3*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t + 5. Let o be d(2). Let j be o\/(-3) + -3 + 0\/(-6). Put 3, j, -3\/4 in ascending order.\nAnswer: -3\/4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**3 - 157*r**2 - 961*r - 1104. Calculate u(-32).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 142 - 32 = 0. Suppose -609 = -c*u - 285. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -10707.\nAnswer: -42828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(242) - (sqrt(242) - sqrt(242)*5)) + sqrt(242))*5 + -2 + 0 + -1 + 2*sqrt(242) + 2)**2.\nAnswer: -704*sqrt(2) + 247809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 43, 172, 435, 880, 1555?\n\"Answer: 8*m**3 - 5*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (126*h**3 + 245*h**3 + 243*h**3)*(0 + 1 + 0) to t*h**2 + m*h + z + g*h**3 and give g.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2057, -2056, -2049, -2036, -2017?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44677956 is divided by 6882?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4cb77 (base 15) in base 11?\nAnswer: 158571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1340 divided by 4.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, y: 1, x: 9}. Give prob of sequence why.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 24*c**2 + 32. Let i(r) = -2. Let t(o) = -16*i(o) - y(o). Let l(g) = -10*g**2. What is t(l(s))?\nAnswer: -2400*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 446462690 to the nearest 100000.\nAnswer: 446500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4503 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1152068, -1152066, -1152064, -1152062, -1152060?\n\"Answer: 2*u - 1152070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u + 8*u - 0*u. Let i(a) be the third derivative of -1\/8*a**4 + 0 + 0*a**3 - 5*a**2 + u*a. Let j(b) = b**2. What is j(i(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 + -0.66. Let h = 15.11 + y. Let t = 0 + -0.1. Which is greater: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*p - 4 = 0, 3*u + 0 = 2*p + 2. Let o = -13.7 + 13. Which is the nearest to -1? (a) u (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 2*t + 30, -2*h + t + 25 = 0. Suppose -4*k + 14 - h = 4*b, 5*b - 1 = -k. Solve -5*y + 4*x = 10, 14 = 3*x - k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -5*a**2\/2 - a - 3. Let n be v(-1). Suppose -m + n = -3. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10670\/9 or 336\/5?\nAnswer: 336\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + 135*r**3 - 135*r**3 + (5 - 5 + 2*r**2)*(-r**3 - 2*r**3 + 4*r**3) - 28*r**5 - 21*r**4 + r**5 + 19*r**4.\nAnswer: -23*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 25*m**2 - 6*m + 7. Let i be u(3). Suppose -b = 10 - i. Suppose -b - 41 = -7*a. Does 28 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/15*23\/(-92).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1092520 and 890824.\nAnswer: 57903560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1323, -1330, -1341, -1356, -1375?\n\"Answer: -2*i**2 - i - 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -61. Suppose 2*i + 3*z - 10 = i, 0 = 3*i + 3*z - 36. What is the remainder when w is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*w - 63645, 4*w = 2*b - 6*b + 63640. Suppose 11*s - 6646 - w = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(612)*1*5 + -3 - (-2 + (-4*(sqrt(612) - (sqrt(612) + 1*sqrt(612) - sqrt(612))) - sqrt(612) - sqrt(612) - sqrt(612)))) + 5)*-6)**2.\nAnswer: 13824*sqrt(17) + 1410624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2. Let i be z(1). Let w(n) = -1 + 1 + 0 + 3 - n**2 + n**i - 3*n. Give w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**5 - 205*o**4 + 330*o**3 + 60320*o**2 + 117760*o = 0.\nAnswer: -32, -23, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22932229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.265 - 19. Let f = a + -0.065. What is the nearest to 0 in -1, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4970245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1589866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278654 is divided by 92852?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*((-3825)\/34)\/(-25)*12\/81.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6484625676?\nAnswer: 2, 3, 71, 2537021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676253.\nAnswer: 676253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 831 and 1094987648?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7476001\/12 + 4 + 196\/(-48). Round s to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.569, -1\/2, 0.3 in increasing order.\nAnswer: -1\/2, 0.3, 2.569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8507 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 11:50 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 4*k**3 + 2*k**3 + (0 - k + 0)*(1 + k**2 - 1) + k**3 - 2*k**3 + 4*k**3 + (0*k - k**2 - k - k)*(-k - k - 6*k).\nAnswer: 12*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549129 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -545\/307 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*h + 2. Let j = h - 6. Suppose 0 = -4*p + q + 87, j = p + 2*q - 32 + 8. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (10 - (15 + -9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1030334222?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millennium in centuries?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.04778935952 - 9.08\nAnswer: -9.12778935952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30464247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**7\/840 + s**6\/40 - s**5\/120 + 13*s**4\/24 + s**3\/3 - 3*s. Let p(o) be the second derivative of l(o). Does 4 divide p(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.007 (b) 4 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((-2)\/4). Suppose j*c - 39 = -3*r, c - 4*c + r = -39. Let h = 26 - 13. Calculate the highest common divisor of c and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55670908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p - 9. Let z be f(7). Let b be 64\/135 - (-26)\/z. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*m + 9 = 0, -m = -3*q + m - 1. Let z(r) = -5 + 2*r - q + 2*r + 5. Let t be z(1). Solve j = -t + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -10*l. Let z(g) = 2*g**2. Determine p(z(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/3 + 40*p**3\/3 + 148*p**2\/3 - 40*p\/3 - 50 = 0. What is p?\nAnswer: -15, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 29. Let f(t) = 30*t + 447. Let c(p) = 2*f(p) - 31*m(p). Let k(b) = -b - 2. Let h be k(-5). Suppose -7*v - 32 = -h*v. Calculate c(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 108 (b) -13\/42 (c) -0.07 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1458.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 21 = -18*g + 5*g + 12*g + 18, -5*g + l - 21 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000126669 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 138. Let l(z) = z**2. What is l(q(m))?\nAnswer: 4*m**2 - 552*m + 19044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 39*o - 8366. Give j(-113).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 40*l + l**2 - 4*l**2 - 69 + 58. Let i be t(13). Solve i*p + 9 = 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-27))\/(50\/60).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9139 = -341*h + 188*h + 400*h for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 59 = w - 2*u, 3 = u. Let b = -31 + w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29570 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*n**2 - 140*n**2 + 73*n**2 + (-n - 2 + 2)*(-2*n + 3 - 3) to o + q*n**2 + t*n and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492 is divided by 1094.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {x: 1, g: 7, y: 2, e: 1, a: 5, d: 1}.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 10, 0 = 4*s - 5*w - 24 - 5. What is the nearest to 0 in s, 4, -15, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 g, and 1 r when four letters picked without replacement from {r: 9, d: 3, c: 1, g: 6}?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.105 - 4.105045. Round l to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - (-10)\/9. Suppose 3*o + 5 = 5*y - 6, 3*y = 3*o + 3. What is r in -2\/9*r**o - v*r**2 + 0 - 2\/9*r = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 22*b + 10*b - 31*b.\nAnswer: b + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 76*g\/3 - 25.\nAnswer: -(g + 1)*(g + 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 68773 = 2*r, 2*r - n - 41374 = 27419. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 152*k. Let s(g) be the first derivative of g**2 - 121. Give a(s(c)).\nAnswer: 304*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1, 3.4, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 357631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 458?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {v: 2, q: 4, m: 2, d: 1, n: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 0, -1\/6, -3\/74, 2?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 2, d: 2, l: 1, z: 2, c: 3}. What is prob of sequence yzd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 14*u**2 + 151*u - 4. What is the tens digit of q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -160499*z**2. Let x(w) = w - 113. Calculate x(u(c)).\nAnswer: -160499*c**2 - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/3, -648\/13, 0.1, -4, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24b6b (base 12) in base 7?\nAnswer: -265631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 21 - 2 - 8*d to the form o*d + x and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - p - 2*p**2 + 0*p**2 - 3*p.\nAnswer: -2*p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*f - 26 = -0*f, -5*o - 5*f + 85 = 0. Let l be (-6 + 3 - 1) + -3. Let v = l + o. Calculate the remainder when 21 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Let o = -4 + l. Suppose o = -2*t + 12 + 18. Solve -2*g - t = g - 4*y, 2*y = -3*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1100) - (sqrt(1100) + 1)) + -4 + sqrt(1100)*-1 - (0 + sqrt(1100) + -2 + -5))**2.\nAnswer: -280*sqrt(11) + 4449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2231*r - 143 = 2244*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 623*c**5\/60 + 408*c**2 + c + 4. Let w(v) = -2*v. Calculate b(w(u)).\nAnswer: 2492*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 2946.\nAnswer: -10\/1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.08316992.\nAnswer: -0.08316992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 54. What is the hundreds digit of (-30)\/o - 2330\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 229*n - 3882. Suppose -2*q + 4*k + 55 = -17, 3*q - 4*k = 102. Calculate the remainder when q is divided by w(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/46*(-22)\/(-55).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-270))\/(1069\/19242)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-3)\/1)\/((-6)\/156)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3887102606 to five decimal places.\nAnswer: 0.38871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/(6\/(-30)). Suppose -4*r - 12 = -5*j, 9 = 4*j - 7*r + g*r. Solve j*c = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18, 1, 0.3, 1\/2, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 752, 2, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 257 = 3*r + 15, 0 = 2*g - 4. Let b = 6 - r. Let z = b + 155. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1276218414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 2*r**2 + 18. Let n(a) = -11*a. Give b(n(u)).\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 26*b = 0. What is the common denominator of 24\/5 and -27*(b + 5\/365)?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + -9 + (232 - 230).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69, 124, 181, 240, 301?\n\"Answer: g**2 + 52*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -8349072?\nAnswer: -8349070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3780)\/456)\/21)\/((-1692)\/(-5358)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 73, 87, 101?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*z**3 - 21*z**2 + 21*z**2 + (-2*z**2 + 5*z**2 - 2*z**2)*(-1 + 1 + z) + (-4*z + 4*z - 2*z**2)*(z - 3*z + z) + 4*z**3 - 5*z**3 - 2*z**3.\nAnswer: -71*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*d + 3*d. Let z be (-2)\/8*(3 - 3). Factor 1\/4*w + z - 1\/4*w**d + 1\/4*w**2 - 1\/4*w**4.\nAnswer: -w*(w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from bgbbbbgggbgbbb?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80318593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15*g**3 + 218*g**2 + 87*g + 249. Give t(15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -37, 2, 20.\nAnswer: -37, 0, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 213*s + 209*s + 35, -s + 0*s + 141 = -6*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-2200)\/(-90))*(-33)\/(-9)*(-154)\/(-1694)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 - 11*k**3 + 8*k**2.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1854 - -3729954132.\nAnswer: 3729952278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**3 - t**2 + t - 1. Let v be y(1). Let h = v - -2. Suppose -3*q - 2*q = 0, -21 = -3*i - 4*q. Solve -z = -5*r + h, -r + z - i = -2*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0624121 times 0.01\nAnswer: -0.000624121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b, 0 = q + 4*b - 3*b - 6. Is q bigger than -3\/2861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45.10661mg?\nAnswer: 0.00004510661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107407.198 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 - 4761*r**4 - 5772192*r**3 - 249302104*r**2 + 1066627152*r - 1089792144 = 0. Calculate r.\nAnswer: -2358, -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 4*f + 2. Let m be j(-4). Suppose -2*b = -2*g - m*g + 24, 3*g + 5*b - 5 = 0. Sort 4, g, 3 in increasing order.\nAnswer: 3, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 13 = 4*q. Let h = -20 - -28. Let g = h - 8.1. What is the closest to g in 0.4, q, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 399.2 and 28.\nAnswer: 427.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-6)\/(-9)*9. Suppose -2*q + c*q = 3. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -3646\nAnswer: -145.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((3 + 1 + sqrt(325))*-3)**2 + 2).\nAnswer: 1440*sqrt(13) + 12284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + 2*s)*(-2*s**2 - s**2 + 2*s**2) + (0*s**3 + 0*s**3 + 5*s**3)*(2 + 1 - 1).\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + b + b + 0*b. Let v(g) = 4*g + 2. Determine -a(j) - v(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 166963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from vqaggegeqrvv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4441 + -4446. Which is the nearest to 0.4? (a) 0 (b) 0.1 (c) -0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4164 = -2*v + 4*y - 4166, 6*y - 23 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + 7*p + 3. Let l be z(7). Let m be (-2)\/(l\/(-42)*1). Suppose 0*w - 4*w + m = 0. Solve -16 = -3*u - w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d + 130 - 52. Suppose -5*s = 5*n - 4*n - 50, 2*n - 23 = -3*s. Calculate the smallest common multiple of s and ((-20)\/d)\/(105\/126) + 4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14*z - 1. What is k(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -37*i**2 - 25. Let l(j) = j**2. Determine n(l(q)).\nAnswer: -37*q**4 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t, 3*t = 5*h + 170 + 19. Let n = -11 + 38. Let k = h + n. Find the common denominator of k and -22\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 183 = m - 2*m, 4*f = -5*m - 933. Let h = 108 + m. Let s = h + 150. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 9*v**2 + 7*v - 5. Give y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 14*z - 36. What is x(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 140\/(-175) + 4\/5. Suppose g = 2*l + 697 - 725. Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a hour in seconds?\nAnswer: 92400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*i**4 - 2*i**3 - 3*i**2 + 110*i + 1698460.\nAnswer: 28*i**3 - 6*i**2 - 6*i + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*(sqrt(432) + 0 - sqrt(432)) + sqrt(432))**2 + 2) - (-4 + (sqrt(432) - sqrt(432)*-2*4 - (2*2*sqrt(432) + sqrt(432))**2)).\nAnswer: -108*sqrt(3) + 9502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4129953.\nAnswer: 3, 659, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/7 + 497412*v**3\/7 + 20616235068*v**2\/7 - 164953757088*v\/7 + 329923432128\/7.\nAnswer: 3*(v - 4)**2*(v + 82906)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 38*b - 38*b + b**2 - 4. Let s be c(-3). Suppose s*o - 3*n = 4*o, -3*o - 5*n = 0. Is -1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -148, -269, -414, -589, -800, -1053?\n\"Answer: -q**3 - 3*q**2 - 87*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1129\/210 + 131\/15. Find the common denominator of (18\/(-40))\/(8\/224) and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 3*c - c - 2*c. Let w be 3\/(3*4\/8). Let x(y) = 3*y + 3*y**2 - 6*y**2 - 7*y + 2*y**w. Give 4*p(i) - 3*x(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f. Let r(i) = 54267*i. Determine r(g(l)).\nAnswer: -162801*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 6*w**2 + 8*w - 5. Let p(n) = -n**3 - 3*n**2 - 9. Let c be p(-4). Let b be u(c). Solve 0 = 2*q - 3*y + 5, -b*q = -y + 2 + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 126 = g + 138, 2*g = -y - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315446 divided by -98?\nAnswer: -23627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-3) + 2)*12. Let n = u + -99. Find the common denominator of (n\/(-11))\/((-6)\/(-19)) and 77\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -v + 4*v + 8, -v - 16 = -4*l. Solve j - l*k - 15 = 0, -5*j - 5*k = -2*k - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from fiu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3823 + -3807. Calculate the greatest common factor of m and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 0*p**2 - 5*p**2)*(4 + 7 + 9) + 2*p**2 + 1 - 1 + p**2 + 2 - 2 as y*p**2 + z + d*p and give y.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*k**4 + 2*h**3*k**2 - h**3*k + 15*h**2*k - 12946*h*k**3 - 42*h*k - 7*k**4 - 50*k**2 wrt k?\nAnswer: 48*h**3*k - 77676*h - 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*9322\/11060*-42.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48287?\nAnswer: 109, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from iktithttthifc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 smaller than 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 14, -38, -19, 1.\nAnswer: -38, -19, -6, -2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 994*c + 2002. Let b(l) = 999*l + 2000. Let w(a) = 5*b(a) - 4*s(a). Differentiate w(y) with respect to y.\nAnswer: 1019","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432760 divided by 108190\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8452?\nAnswer: 1\/8452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**4 + 2*a**3 - 5*a**2 + 2*a + 2. Let t(z) = 49*z**4 + 10*z**3 - 26*z**2 + 11*z + 11. Let c(f) = 11*g(f) - 2*t(f). Factor c(m).\nAnswer: m**2*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 210286?\nAnswer: 47\/105143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {l: 2, d: 3, b: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Let j be (-3)\/(-9) - 11\/(-3). Suppose 0 = s - 2*s + 4, w*z - j*s = 78. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1e6e?\nAnswer: 1e6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -38.2 (b) -57 (c) -2.8 (d) 5 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2741, -5477, -8213, -10949, -13685?\nAnswer: -16421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x = -31*x - 5*p + 65, 2*x - 4*p = -34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b = 23*b - 144 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybswwdybudwyysus. What is prob of picking 1 b and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -265939775 and -183.\nAnswer: -265939958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*i**2 + 284*i - 12.\nAnswer: 4*(i + 3)*(24*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*10)\/(-2)*(7480\/20400)\/((-3)\/30)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17.2742 centuries?\nAnswer: 172.742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-21))\/5)\/((-16)\/56)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times -90.8?\nAnswer: -8353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -347 - -628. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 5*c - c + (2*c - 4 + 4)*(-3 + 3 + 2) - 3 + 1 + 2*c + 0*c)*(-1560*c - 4 + 3 + 1391*c).\nAnswer: -676*c**2 + 334*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = -x, -2*x + 5*r - 3 = -11. Suppose -11*j - x = -12*j. Solve 4*i = -4*v, 0 = -5*i - v + 8 + j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.0935 take away 1.7059?\nAnswer: -47.7994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3640747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 110130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695727400 a multiple of 614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139710, -139582, -139458, -139338, -139222, -139110, -139002?\n\"Answer: -2*s**2 + 134*s - 139842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2080 + 2119. Let d(g) = -g**3 + 38*g**2 + 37*g + 86. Give d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpb when three letters picked without replacement from bbpzppcpbp.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -3 (c) 0.08 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.046 - -0.546. Let v = 5\/43 - -94\/301. Sort 2, v, -1, o in decreasing order.\nAnswer: 2, o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*(4 + 5). Suppose 2*c = z - 14, c - o*z + 9 = -5*z. Let j(q) = -3*q - 7. Let m(p) = -p. Let s(n) = j(n) + m(n). Determine s(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/15 + 1\/15. Which is the second smallest value? (a) y (b) -1\/4 (c) -0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7359 less than -7360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 120*y**2 + 8*y - 23. Let s be v(4). Suppose -u + 545 = 3*r, -r - s - 225 = -4*u. Is u a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**6\/120 - 13*o**5\/60 + 7*o**4\/12 - 2*o**3 - o**2. Let a be x(12). Solve 4*h + 4*u - a = 0, 0 = 3*h - u - 0 - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268035232 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112098 is divided by 1413?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 29*x + 7*x + 3*x - 17*x**3 + 39*x**3 + 18*x.\nAnswer: 19*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61202204 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**6\/6 + 4*n**4 + 10*n**3\/3 - n**2\/2 + 26. Find the third derivative of i(l) wrt l.\nAnswer: -60*l**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/5 - -11\/10. Suppose -h = -5*f + 2*h + 22, -7 = -2*f + 3*h. Find the common denominator of (-22)\/(-1) - 5\/f and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*i - 8*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*w**5\/6 + 110*w**4 + 1265*w**3\/6 - 660*w**2 - 1430*w\/3 + 280 = 0. What is w?\nAnswer: -3, -1, 2\/5, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a + 25. Let r be o(-10). Calculate the common denominator of -7\/9 and r\/(-39) + 2*(-4)\/24.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2 - 237*a - 234 = 0.\nAnswer: -78, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, q: 3, k: 10}. What is prob of sequence qd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -600?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21583679.0549 - 21582713. Let o = -881.048 + b. Let l = o + -85. Round l to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 476 + -3336\/7. Which is the nearest to -4? (a) m (b) -0.4 (c) 1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 + 100437?\nAnswer: 99915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334957, 669918, 1004879?\nAnswer: 1339840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/12)\/((-1)\/(-4)). Let d = -3279\/115 + 143\/5. Let n = d - 27\/46. Is n < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1626.4 * 5\nAnswer: -8132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2\/7*k**2 + 226\/7 + 32*k = 0.\nAnswer: -1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016017 to seven dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 1 - 3. Let k(v) be the first derivative of 2*v**3\/3 - 2*v + 6. Calculate k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.02815um in meters?\nAnswer: 0.00007002815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 10. Suppose d + 2*d = w. Suppose -k - d*k = 5*b - 47, -4*b - 2*k + 36 = 0. Solve -3*s = 4*u - b, -2*u + 3 = 4*s - 3*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8)\/d)\/d*d**3)**(-16) assuming d is positive.\nAnswer: d**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 16. Let g be (2\/p + 2\/(-6))\/2. Is 0.12 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*-1*sqrt(153)*-6)**2.\nAnswer: 3442500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 7 + 1. Suppose 7*f - m*f = 15. Suppose i = -f*i. Solve i*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1163, 13, 0 in decreasing order.\nAnswer: 1163, 13, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276508*y**3 + 553069*y**3 - 276572*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7617785 to the power of 1\/2, to the nearest integer?\nAnswer: 2760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from {w: 4, s: 2, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, h: 3, a: 2, y: 1, c: 1}. What is prob of sequence shs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -118. Let b be (3 - -1)*(-3)\/(-6). Calculate the greatest common factor of h and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 398672 + -398675. Let p(l) = 5*l**3 + 3*l**2 - l. Let y be p(2). What is the second biggest value in a, 0.1, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12104, -23422, -34750, -46094, -57460, -68854?\n\"Answer: -l**3 + l**2 - 11314*l - 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 9\/50 (b) 3 (c) 0.3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55127, -55147, -55181, -55229?\n\"Answer: -7*s**2 + s - 55121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 4, m: 3, q: 4, c: 1, x: 7}. Give prob of picking 1 c and 2 q.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 404*g**2 - 478*g + 517. Is p(48) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 19*c + 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(136) + (sqrt(136) - ((sqrt(136)*-3 - sqrt(136)) + sqrt(136))*1))\/(-3*3*sqrt(8)).\nAnswer: -4 - 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024200 (base 6) in base 13?\nAnswer: 19ac4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 48 = -5*j. Let p = 8 + j. Let m be (0 - p\/(-4)) + 3. Solve 6 = m*r - 2*c, -2*r + 4*c + 13 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:51 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-9))\/(2\/30). Is m greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.4, 4, -0.19, -2 in descending order.\nAnswer: 4, -0.19, -2, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 379446118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/30)\/(-2 - (-72)\/30). Let z(q) be the third derivative of -3*q**2 - u*q**4 + 0*q - 1\/30*q**5 + 0 - 1\/3*q**3. Suppose z(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43602691 and 35674929?\nAnswer: 392424219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6051\/2 + -42361\/14. Let p = -25 - -38. Suppose 3*i + 1 - p = 0. What is the closest to 0 in i, d, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4819119399 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 82*g - 489. What is the remainder when 103 is divided by m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(8*i**4 + 4*i**4 - 7*i**4 - i**2 - i**4 + i**2 + (-i**3 + i**3 - i**3)*(3 - 2*i - 3)).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 14*t**2 + 2*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 160813040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 10. Let q = 3341 + -3344. What is j(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/3 - 2345*n**2\/6 + 583*n\/6 + 293 = 0. What is n?\nAnswer: -3\/4, 1, 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -d - 278, 5*z = -d + 1123 + 273. What is the common denominator of z\/(-30) + (1 - 2) and 103\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 16 - 65 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219253030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40452290 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -368.34?\nAnswer: -366.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (532\/(-315))\/(-38)*1*10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-6))\/1*(-26)\/39.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 30. Suppose 2*c - c + 28 = a, p*c = -a - 87. Let w = c - -25. Sort -3, -0.5, w.\nAnswer: -3, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1766 and 0.3.\nAnswer: -0.05298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587741993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, -5*i + 305 = 5*z - 0*i. What is the remainder when z is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250 divided by 5?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 - 2019*p**2 + p + 24 - 2019*p**2 + 4037*p**2 in the form n + q*p**2 + a*p + d*p**4 + x*p**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71725.\nAnswer: 5, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221 - -3762. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:19 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 3. Let m(u) = 6*u - 3. Let z be m(5). Let r be -3*-3*(-12)\/z. List the prime factors of v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 0, -23, -76, -171, -320, -535?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11412894 and 1626.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 + 2 + 220*i**3 - 196. Let o(w) = 72*w**3 - 65. Let p(x) = 17*o(x) - 6*z(x). Differentiate p(j) with respect to j.\nAnswer: -216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -37. Suppose -f*b + 7 = -3. Suppose 76 = b*m - 4*z, 2*m + 3*z + 0*z = 12. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-133)\/(-14) - (-2)\/(-4). Calculate the highest common divisor of 423 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*q + 721, 0 = 2*u - q - 483 - 248. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(((-972)\/(-3915))\/(-18))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*2)*2)\/(sqrt(8)\/sqrt(2)*-4).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {g: 3, m: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/(-5)*(-25)\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 8204*o = 8203*o + 19, -4*m + 4*o - 28 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 42 - (-5 + 9 - (43 - (30 - -18))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 385, 430, 463, 478, 469, 430, 355?\n\"Answer: -b**3 + 52*b + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - 9. Let o = 9 - b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 952469 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(2))**2 - sqrt(128)*-2.\nAnswer: 33 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56532407.99429 - -56533250. Let g = f + -842. What is g rounded to four dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3 - 3 + 8*f**2 - 6*f**2. Let s(k) = k - 4. Let n be s(6). Let a(c) = -3 + 3 - c**n. Give a(d(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3586 - 1.349. Let v = t - -4.7. Round v to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1145\/4 + -286. Sort l, 2\/43, 2\/15, -0.03.\nAnswer: -0.03, 2\/43, 2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2436047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 187 (b) -3 (c) 0.3 (d) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = t + 3 - 19, 0 = -3*c + 3*t - 3. Suppose 2*s + 0 = -3*b + 10, c*s = -3*b + 12. Find the second derivative of -2 - s + g**3 + 4*g + 4 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26728855.\nAnswer: 5, 5345771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -20, 5*r - 2*r = 3*j + 234. Suppose -5*n - r = -6*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, x: 3, o: 2}. What is prob of sequence kxo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - g**2)*(-2*g - 39868 - 39828 + 80889) as n*g**3 + p*g**2 + h + c*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359267.3 months in decades?\nAnswer: 11327.2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (20 + -4)*3\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.64 times -0.1?\nAnswer: -0.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 44. Let u(p) = p**3 + p**2 + p + 16. Let t be u(0). Let y = t + o. Solve 10 = -y*q - 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455*h**3*y + 36321*h**2*y + 25545*h*y + 617*y wrt h?\nAnswer: -2730*h*y + 72642*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a8 - 366?\nAnswer: c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*v + 25, a + 36 = 4*v + 13. Let z(n) = 4 + 6*n**3 - 5 - 3*n**2 - v*n**3 - n. Determine z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115132145 (base 6) to base 9\nAnswer: -4130612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 9, 29, 55, 87?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 323*t**3\/3 + 5*t**2 + 27*t. Is l(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 24. What is the units digit of l\/25*5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 7:53 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -12974\nAnswer: 1\/12974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*b + 2*k - 776 = 383*b, 2*b - 734 = 4*k. Which is smaller: b or 2673\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 7*c**2 - 7*c + 10. Let i be v(-8). Solve -3*r = -3*s - i*s, 2*s = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:41 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 22. Let n(s) = -8*s + 3. Let c be n(f). What is the highest common factor of c and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 2. Let c be v(-1). Factor -828*t**c - 2*t**2 + 831*t**3 + t**5 - 2*t**5.\nAnswer: -t**2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 5*m**3\/3 - 1655*m**2\/2 + 1650*m + 5149. Find i, given that s(i) = 0.\nAnswer: 1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 4\/5, 3\/4, -0.07, -6\/5, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c*g + 25*c - 2070*g - 3 wrt c.\nAnswer: -8*g + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 922890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 24624687?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347 - -390. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73c (base 15) to base 13\nAnswer: -987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -18963465242019?\nAnswer: 18963465242011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*f - 909 = -6402 - 6530 + 1824 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 285545 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7759928, -7759929, -7759930, -7759931, -7759932?\nAnswer: -7759933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63789 = 9*t + 64158 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 73. Let m = 6 - 1. What is the biggest value in m, v, -2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (2 - 1)\/(-1). Let i(k) be the third derivative of 17*k**5\/60 + k**4\/24 - k**3\/6 + k**2. Is i(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*(-2)\/4. Let j be -2 + (4 - 1)*(-22)\/(-42). What is the biggest value in o, -2\/11, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 3, -26 in descending order.\nAnswer: 10, 5, 3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 - 7*z**3\/3 + 5*z**2\/2 - 17*z - 1537. Determine q(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54128772 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5894 + 19966 = 8*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, -112, -0.3, 14\/19, -2\/3?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 489523.37 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(50) + sqrt(50) + sqrt(200)) - sqrt(150)\/sqrt(27))\/(-1*sqrt(640) - sqrt(640) - -6*sqrt(50)\/sqrt(5)))**2.\nAnswer: 3481\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*j**3 - 17*j**3 - 51*j**3 - 20*j**3.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 61. Let m = -19 - -33. Let x = m + j. Calculate the smallest common multiple of 6 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 157?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 8 = -21*a. Solve 20 = 4*k - a*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/14441 + 43331\/57764. Find l such that 0 + 3\/8*l**2 + d*l = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 1681*w**4\/6 + 71*w**2 - 4*w + 51. Differentiate z(u) with respect to u.\nAnswer: 6724*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 - 3.4. What is the second smallest value in a, -3, 0.2, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.433 - -0.033. Let p = -10 - -10. Which is the closest to p? (a) 3 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -16, 6, 36, 74, 120?\n\"Answer: 4*p**2 + 2*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41664, -83415, -125164, -166911, -208656?\nAnswer: -250399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 18*n**2 + 14*n. Calculate i(-17).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/255 or 14.7?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/99096 and -137\/18.\nAnswer: 297288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -156206 (base 9) in base 15?\nAnswer: -1d866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7859 at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(432) - (sqrt(432) + -2*sqrt(432) + sqrt(432) - sqrt(432))*5)\/(((sqrt(108) + sqrt(108)*-2)*-1)\/sqrt(12))*-2.\nAnswer: -48*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1318472 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-270))\/(1\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 9, 44, 105, 198?\n\"Answer: g**3 + 4*g**2 - 4*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/21*35\/10)\/(15\/360).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3 - 458397546*t**2 - 6*t + 133532933 wrt t?\nAnswer: 6*t - 916795092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21314 is divided by 2124.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.5 (b) -105\/2 (c) -2\/9 (d) 3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-three thirds of a day?\nAnswer: 35040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000259258 to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {p: 5, c: 4, l: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let j(v) be the first derivative of -19 + 4*v**2 + 16*v**2 - 23*v**2. Determine g(j(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -22, -1\/3, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9839944 is divided by 782.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.21 and 748.\nAnswer: 3149.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(((-5)\/(-25))\/((-12)\/(-240))). What is the third smallest value in l, 250, -2\/7?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735336 is divided by 233?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*n = 0, 0 = -3*m - 5*n - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 4. Suppose -y + i = -1. Suppose -6*w + 3*w - 37 = -5*a, a + y = -2*w. What is the lowest common multiple of 6 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2197937156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 285505*i**2 - 636*i + 191.\nAnswer: 571010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 3)\/(-3) - -1. Let d(h) = h**3 - 3*h**2 + 2*h - 1. Let y be d(4). Let x = 26 - y. Solve 2*q = -z + 7, 3*q + x*z + a*z - 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -1079.\nAnswer: -1079.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2. Let t(a) = -167*a - 24. Determine t(z(u)).\nAnswer: -1336*u**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/56 and 2\/4 + (0 - 567\/(-56))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 - 191.15. Let d = 3.15 + h. Let y = 1.18 - 1.4. Which is greater: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767941?\nAnswer: 17, 199, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/21)\/(18\/(-105)*-5))\/(3010\/(-903))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4437 (base 9) in base 4?\nAnswer: 303022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = 1. Suppose -x = 3*b - 17, 0 = 2*x - b + 2 - 1. Is 19 a factor of 173\/9 - x\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83293 + 208669 = 306*m - 294*m. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 57313.\nAnswer: 4126536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 21. Suppose 2*z - p + 25 = -0, -10 = -z - 4*p. Let w = -7 - z. What is the remainder when g is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 28*o**2 - 75*o - 16. Let n(r) = -18*r**2 + 51*r + 11. Determine 8*n(l) + 5*p(l).\nAnswer: -4*l**2 + 33*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**2 + 4908*c + 4905 = 0.\nAnswer: -1635, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 32 = -4*i, k + 5*i + 50 = 6*k. 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 u(l) = 8*l + 26. Let s be 3\/((18\/(-13))\/(-6)). Let b be u(s). What is the highest common divisor of b and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/4662 and -145\/77964.\nAnswer: 60578028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idiiiidddiddi. Give prob of picking 1 i and 3 d.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3146 by -242.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b8 + 3?\nAnswer: -5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32095 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -67*q + 5. Let d(r) = 24*r + 1. Let x(a) = -151*a - 8. Let p(v) = -7*d(v) - x(v). Give 18*p(j) - 4*u(j).\nAnswer: -38*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 955, -2, -5 in ascending order.\nAnswer: -5, -3, -2, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4644)\/(-266))\/(-3) - ((-564102)\/69597 + (1 - -7))?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 558971 or 558969?\nAnswer: 558969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 4585787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33932 - -33931.59994. Let b = 2.3 + -2.7. Let x = b - o. What is x rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55697 and 55697 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 728864 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*u + 3*u, -4*h = 4*u + 28. Suppose -2*o + 9 = -b, 4*b + 3 + 1 = 0. Suppose 3*c - 19 = -o. Sort c, 4, h in decreasing order.\nAnswer: c, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131955c (base 14) to base 8\nAnswer: -43076616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15825 (base 9) to base 3\nAnswer: 112220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3375570 and 42307144.\nAnswer: 634607160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194854913 to the nearest integer?\nAnswer: 13959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 1. Let h(o) = -o. Suppose -2*i - 1 = -0*j - 3*j, -3*j + 5 = 2*i. Let p(v) = j*x(v) + 3*h(v). Let g(u) = 2*u + 2. Give 3*g(d) + 4*p(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:16 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l - 175. What is p(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 577 - 577. Suppose 4*k - 34*w = -32*w + 3630, m = 2*k + 2*w - 1818. List the prime factors of k.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 4*s + 4. Let l be x(-5). Let j be (0 - -3)*6\/l. Suppose 12*y = 15*y - a - 18, 4*y - 2*a = 22. Solve -j*b = -y*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (4 + sqrt(468) + -3)) + sqrt(468) + 4)**2*5.\nAnswer: 180*sqrt(13) + 2385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*w - 33 = -5*l + 485*w + 406*w, 0 = 9*l - 3*w - 63 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666, -1332, -1998, -2664, -3330, -3996?\nAnswer: -4662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 19 = -2*d. Let y(u) = -8*u + d*u - 6*u. Let s(g) = -6*g. What is 3*s(a) - 2*y(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48754 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 714 = 30*w. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p**3 + 8*p**2 + 6*p - 28. List the prime factors of j(-4).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y + 18. Let w be i(-6). Let j be 9*(w\/(-9) - 1). Is (-95*1)\/(j\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 1\/8, 35\/4.\nAnswer: -35, 1\/8, 35\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1890 = 8949646*t - 8949681*t for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66543006 - 0.14.\nAnswer: -66543006.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 2 = -32. Which is the nearest to 0? (a) 1\/3 (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((1 - 2)*1). Suppose -5*c + 2*n = -332, 5*n = t*c + n - 202. Calculate the greatest common divisor of c and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 18. Solve 4*l - i*l = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316921*z**2 - 1596071 wrt z.\nAnswer: -633842*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -16. Suppose -2*q - 6 = l, 2*f - 12 - 262 = 4*q. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 80*j + 1762. What is the smallest common multiple of (72\/(-15))\/(2\/(-20)) and l(-22)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvp when four letters picked without replacement from vppvpppppvp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*f - 83, 2*z - 22 = 3*f + 123. Let q(r) = -r**2 - 21*r - 36. Let t be q(-10). Let n = z - t. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -q, 2*f - 5*q = 5 + 11. Solve f*x = 2*w + 2*x - 6, -2 = -2*w + 3*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0.3 (c) 8 (d) -3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198.99 + 198. Let h = j + -0.11. Round h to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**6\/10 - 4*v**3\/3 - 17*v**2\/2 - 8. Let l(j) be the second derivative of t(j). What is the first derivative of l(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -588 - 1275. Calculate the remainder when 322 is divided by o.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -6966.\nAnswer: 1\/774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -22122002?\nAnswer: -22122013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2426793772 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*-1 + sqrt(15))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1051 or 694871?\nAnswer: 694871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y, 2*x + 1 = -4*y - 3. Let a be 1\/(-21) + x\/28. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**5 - 101*l**4 + 137*l.\nAnswer: 40*l**3 - 1212*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*z + 16 - 0, 4*y - 37 = -5*z. Let j(k) be the first derivative of -k**4\/4 + 10*k**3\/3 - 9*k**2\/2 - 7*k - 1654. Calculate j(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f + 4. Let z(w) = w**3 - 4*w**2 - 5*w - 6. Let d be z(5). What is the remainder when v(-3) is divided by 9 + ((-48)\/d - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86355 or -86418?\nAnswer: -86418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen tenths of a kilometer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3488 = -4*l + 4*y - 0*y, -4*y = 5*l - 4333. What are the prime factors of l?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**3\/3 + 5*u**2\/2 - 5*u + 9. List the prime factors of i(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) 2\/9 (c) -1\/7 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1055274 times 17\nAnswer: 17939658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 + 1 + 146*o - 190*o + 295*o + 0 + 2*o**3 - o**2 as j + v*o + x*o**3 + u*o**2 and give v.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128, 413, 882, 1541, 2396, 3453?\n\"Answer: k**3 + 86*k**2 + 20*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**6 + 896*c**3 - 43*c**2 - 16*c + 131 wrt c?\nAnswer: -600*c**3 + 5376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38.502 - -0.002. Let u = -39 - a. Sort u, -0.2, 1 in descending order.\nAnswer: 1, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62808.8l?\nAnswer: 62808800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 9*h - 5625. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 8. Let s be (10\/(-6))\/(1\/f). Suppose -5*k + 25 = 0, s = 2*q - 2*k + k. Calculate the highest common divisor of 80 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111100101010110011 (base 2) in base 12?\nAnswer: b64a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 1. Let f be y(3). Let k be f\/(4\/2 + -1). Find the third derivative of -5*w**5 + k*w**2 + w**2 + 3*w**5 + 4*w**5 wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1481656\/7152)\/(44\/24).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34308195 rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01404487335 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289510 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 e when three letters picked without replacement from hztooge.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(36)\/(sqrt(48)\/sqrt(4)).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12396 - 12396 + p**2 + 37*p**3)*(-2 + 0 + 3) to the form d + b*p**3 + a*p**2 + u*p and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -9. Let j be -158 + 175 + 3\/((-9)\/4). Put 0, -2, j, n in increasing order.\nAnswer: -2, 0, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2 = 0, 0 = 3*o + 92*k - 57*k - 40*k - 56 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + 0*x + 0*x + (-21 - 2 + 1)*(2 - 2*x - 2)*(-3*x**2 + 8*x**2 - x**2) as t*x**3 + p*x + g + o*x**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216849?\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 4*j**4\/3 + 7*j**3\/3 + 7586*j**2 + j. Let w(a) be the second derivative of -11*a**3\/6 - 5*a**2\/2 + a. Give 8*w(t) + 3*x(t).\nAnswer: 8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28728812, -2, 4\/5 in ascending order.\nAnswer: -28728812, -2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.099 times 0.07?\nAnswer: 0.21693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 16492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59499 + 85954. Suppose 35*y - r = 7180. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2016)\/35*(23 + 9894\/(-408))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/7268 - 1366363\/50876. Let b = d + 159\/14. What is the common denominator of b and (286\/(-12))\/1 - (-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*v - 4816*v + 1426*v to f + m*v and give m.\nAnswer: -3729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 7 - -7 - 7 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 6. Let p be (-54)\/(-3) + -10 + -12. Calculate f(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 1. Let g be c(-2). Suppose 0*j - 291 = -g*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 7. Let z(d) = -6*d**2 - 4*d - 6. Let r(s) = -5*s**2 - 3*s - 5. Let b(h) = 5*r(h) - 4*z(h). Let x(y) = -6*y + 6. Give w*x(m) - 6*b(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1454 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 510 + -512. Put z, 8, -8 in ascending order.\nAnswer: -8, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -10 + 26. Suppose -6*c = -n*c + 20. Let u = c + 14. Sort -5, -6, u in decreasing order.\nAnswer: u, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*o + 48. Differentiate 5*m - o*m - 9*m - 32 + 3*m with respect to m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 519928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46631 (base 9) in base 6?\nAnswer: -400044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 5. What is i(-11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*i**5 + 2*i**3 - 9*i**2 - 16*i - 7.\nAnswer: -8340*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8186686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -260, -521, -758, -959, -1112, -1205, -1226?\n\"Answer: 2*y**3 - 275*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose 0 = -s*c - 4*j - 0 - 14, -3*c + 5*j + 31 = 0. Suppose -r = -4*g + r + 446, -2*g = -c*r - 220. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/9)\/(4\/18). Let j(m) = 7 + m**3 - 23*m - 603*m**2 + 1274*m**2 - 694*m**2. Is j(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*h + 34 + 60. Let -h*s - 16\/5 + 24*s**3 - 36\/5*s**4 - 52\/5*s**2 = 0. What is s?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5866*q + 5867*q + 42 = 16*u, u = 3 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - 0.056. Let s = -0.576 - q. Is s >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (14\/35 - (-17)\/(-5)). Let m(l) = 2*l**2 + 4*l - 2. Let y(h) = 5*h**2 + 2*h - 6 + 6*h + 3*h. Determine p*y(u) - 11*m(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2076 and 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 2, h: 1, w: 6, i: 2}. What is prob of sequence zh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**4 - 11*y**3 - y**2. Let p(m) = -2*m**4 + 50*m**3 - 38*m**2 - 24*m. Let i(u) = -6*h(u) - p(u). Suppose i(r) = 0. Calculate r.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84, -192, -372, -624, -948, -1344?\n\"Answer: -36*r**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 14. Let g(k) = 9*k**2 + 13*k - 13. Let x(d) = -4*d**2 - 6*d + 6. Let n(a) = h*g(a) + 13*x(a). Let w(r) = -2*r + 0*r + 4*r - r. What is w(n(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.03, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 28*c = -12. Let z(t) be the second derivative of 0 - 4*t + 1\/7*t**2 + 0*t**c - 1\/42*t**4. Factor z(y).\nAnswer: -2*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 + 93*f**4 + 750*f**3 + 234*f**2 - 3105*f + 2025 = 0. Calculate f.\nAnswer: -15, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1166, -3, -4, -2, 4, 89 in increasing order.\nAnswer: -1166, -4, -3, -2, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 14. Let s(m) = m + 15. Let h(b) = 2*o(b) + 3*s(b). Let l be h(-15). Let g(r) = -r. Let y(z) = -3*z. Calculate l*y(q) - 4*g(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/6*2)\/(-4 - -3). Suppose -5*b - 83 = -3*h - 0*h, -1 = -h. Let m = b + 23. Solve m = 3*v + y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -939*l - 516436. Give w(-550).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74682 and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2. Let u(c) = 56*c + 42*c**2 - 56*c. Determine u(q(t)).\nAnswer: 42*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809181 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82671284.0000575 - 82671147. Let c = -137 + h. What is c rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/36 and -107\/920.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 745887 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-15) - 3)*(7 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 2960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 52*j + 87. Let p be m(-27). What is the greatest common divisor of 99 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094080574 to the nearest integer?\nAnswer: 33077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20*q + 1. Let p(u) = -u**2. Determine t(p(s)).\nAnswer: -20*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -931 divided by -133.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*(sqrt(420) - sqrt(420)*-1))\/(sqrt(588) - sqrt(588)*2))\/(sqrt(500) + sqrt(500) + 6*(2*sqrt(500) + sqrt(500)) + -2*sqrt(500)*-5).\nAnswer: sqrt(7)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553337, 553334, 553331?\nAnswer: 553328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*l - 226*l - 19*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 14 in increasing order.\nAnswer: -5, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 854 and 732?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - w)*(4 - 4 + 2) + 3 - 3 - w - 3 + 3 + 4*w - 9 + 9 + 5*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 10*g + 302. Let s(d) = 46*d. Calculate s(v(c)).\nAnswer: 92*c**2 + 460*c + 13892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64618 = -5*d - 3*q + 66292, d + 2*q - 26182 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.78 - 69.8. Which is the second smallest value? (a) -3 (b) -13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 - -3. Let r = -0.4 + g. Which is the nearest to -1? (a) r (b) -4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-3\/5)*(u**2\/u)\/u*u**8\/(u*u**7) assuming u is positive.\nAnswer: u**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*k - 17 = d, -d = 4*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537534*n*y**5 - 2*n*y**2 + 7*n*y + 65*n + 4*y**2 wrt y?\nAnswer: 32252040*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1395609 and 1869.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88\/2 - (-1 - 1). Suppose 5*d = p + 94. Calculate the remainder when d is divided by (3 - -4)*140\/98.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 7, -2, 25\/8, 3\/2 in decreasing order.\nAnswer: 7, 25\/8, 3\/2, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125\/7 in 6, 5, 0.4, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 29. What is the nearest to d in -4, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11128972, -11128959, -11128924, -11128855, -11128740, -11128567, -11128324?\n\"Answer: 2*i**3 - i**2 + 2*i - 11128975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 0.238884\nAnswer: -0.438884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + 233230022?\nAnswer: 233223310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.594488719 to 3 dps.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z + 42. Calculate the least common multiple of x(7) and 24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -38*m**3 - 2*m**2 - 2*m + 2. Let f(c) be the first derivative of 19*c**4 + 5*c**3\/3 + 5*c**2\/2 - 5*c - 6994. What is 2*f(h) + 5*i(h)?\nAnswer: -38*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -a + 5*i, 148 = 2*a + 5*i + 29. Suppose -5*c = a - 122. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18287014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001000100 - -110?\nAnswer: -1100000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 74, -1.\nAnswer: -21, -1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -131\/109894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/346411 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/((-9)\/(-54)). Let o = 391\/10 + -77\/2. What is the third smallest value in 1\/6, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3.841 (c) -4 (d) -3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 203*t - 977. Let q be s(0). Which is smaller: q or -6834\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/20248480 and -89\/8710240.\nAnswer: 1559132960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 862*p - 730. Let r(h) = 2*h + 81. Give -2*m(c) - 18*r(c).\nAnswer: -1760*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 3*h**2 - 15*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/30*(69 - (1 - -2)). Calculate the highest common factor of o and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*y + 5*y + 2*l, 5*y - 3*l - 20 = 0. Suppose c = 3*c - y. Calculate the remainder when 3 is divided by c - 0 - 0\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*z + 3*y, 14*z = 13*z + 3*y - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 3*q - 114. Suppose f + 4*y - q = -f, -2*f - 5*y + 42 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25549 in 4, -0.1, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2524.29521555 - -2463.295216. Let r = -4544 - -4483. Let m = r - q. What is m rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 204*c + 3468 = 0.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpohp. Give prob of sequence hk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.167 to one dp.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -675\/7 + 102\/7*h - 3\/7*h**2.\nAnswer: -3*(h - 25)*(h - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 4*l**2 + l + 3. What is the smallest common multiple of k(4) and (-2)\/(-5) + (-86)\/(-10)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*j**2*v**4 + 2*j**2 + 157*j + 10*v**4 wrt v?\nAnswer: 64*j**2*v**3 + 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 divided by 3?\nAnswer: 184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 285.26824441?\nAnswer: 289.26824441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h**2 - 14*h**2 - 13*h**2 - 6*h**2 - 6*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) + -3)*-2 + sqrt(2057) + sqrt(2057) + sqrt(2057) + -5 + -5)**2 - (1*(2 + sqrt(2057)) + (sqrt(2057) + (2 + sqrt(2057))**2)*-6).\nAnswer: 143*sqrt(17) + 20608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 30 - 30)*(2 + 1 - 4) in the form s*m + k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h)**(2\/35)\/((h*h*h**18*h*h*h*h)\/h**(2\/23)) assuming h is positive.\nAnswer: h**(-3804\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3387 + -1004.9387. What is f rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -20. Calculate the greatest common divisor of m and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Let d be j(1). Let z = -1 + d. Let v = z - -4. What is the remainder when 6 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5818816 by -12328.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1244 and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + 0.11. Let x = 0.716 - 0.716. Which is the closest to w? (a) x (b) 0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:59 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147310 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10354\/9, 3\/4, -8.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 27*j**2 + 13*j + 361. Let f = -56 + 82. Calculate the remainder when f is divided by x(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 54)*135\/(-90). Sort -5, c, 9.\nAnswer: c, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.239317 * 0.1\nAnswer: -0.0239317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {q: 2, r: 2, k: 1, l: 4, f: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*d**5 + 1359*d**4 + 4674*d**3 + 1224*d**2 = 0. What is d?\nAnswer: -3, -2\/7, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*m = -26, 4*m = -z - 342 + 388 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-80)*-6 + (47\/4 - 1) + -1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1387*t**2 + 2*t**3 - 134*t**5 - 124*t**5 - 124*t**5 + 423*t**5 wrt t?\nAnswer: 2460*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewpycwwppy. What is prob of sequence ywyc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 214857847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -14 + -4 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t + t**4 - 8*t + 3*t wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5861 - -5860. Let a = 3\/4859 + -145827\/92321. Is a bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a**2 - 2*a + 3. Let d(m) = 45*m**2 - 9*m + 13. Give -2*d(c) + 9*k(c).\nAnswer: 9*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/5 + 49252*x**4\/5 - 19704*x**3 - 591062*x**2\/5 - 689561*x\/5 - 49254 = 0.\nAnswer: -49254, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -2 + 4 + -2)*-4 + (-1*sqrt(475) + -5 - (sqrt(475)*1 + 3)) + 0)**2*1.\nAnswer: 480*sqrt(19) + 17164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m + 248. Let f be j(-27). Let -3\/4*y**4 - 1\/4*y**2 + 1\/4*y**f + 0 + 3\/4*y**3 + 0*y = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1023 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**3 + 4 - 6 + 4*j**4 + 1 + 4*j**3 to the form z*j + g*j**2 + w*j**4 + o*j**3 + q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let n = 1429 - 941. Let i = n + -457. Sort v, -3, i in descending order.\nAnswer: i, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*r**2 - 147*r**2 - 2*r**3 - 102*r**2 + 621*r**2 - 151*r**2 + 4*r**3.\nAnswer: 2*r**3 + 64*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/21084 and 29\/28112.\nAnswer: 84336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(3\/2))\/o)**(-2\/101)\/((o*(o\/(o*o*o**(3\/7)*o*o))\/o)\/((o\/(o\/(o*o**(1\/4))))\/o)))**(-31) assuming o is positive.\nAnswer: o**(-325097\/2828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130403 (base 7) in base 16?\nAnswer: 5e91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/16798550 and -149\/18?\nAnswer: 151186950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 174649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/111 - 329\/222. Let z be 0 + 0 + 3\/12. What is the closest to z in 4, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 10, 0 = 3*r - 6*r + 4*o + 95. What is the remainder when 223 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 644\/5 or 128?\nAnswer: 644\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 17*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -491*g + 491*g + 55*g**2 + 27 wrt g?\nAnswer: 110*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c = 164*c - 144 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25651330 or 25651333?\nAnswer: 25651333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/330 - 59*o**4\/132 + 58*o**3\/33 - 31*o**2. Solve l(v) = 0.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24679, -98702, -222073, -394792?\n\"Answer: -24674*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 - (6 + -6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646785751.\nAnswer: 646785751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h - 13. Let n(m) = -4*m - 6. What is -5*n(c) + 3*t(c)?\nAnswer: -c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2. Let i = -20 - -44. Suppose w = -5*w + i. Let z(y) = w*y + 11*y - 3*y. What is z(p(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 1\/2*b**2 - 2 + 0*b. Let m(y) = 22*y**2. Determine m(f(u)).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 730182085 to the power of 1\/3, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0616424 months in years?\nAnswer: 0.0884702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2022211 (base 3) to base 8\nAnswer: -3240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 79853760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*g - 1258*g + 439*g - 1279*g - 25564 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*y - 807 + 767, -y + 12 = l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29915, 59831, 89749, 119669, 149591, 179515?\nAnswer: 209441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w**3 - 9*w**2 + 10*w + 25. Let g be s(5). What is the highest common divisor of g and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 57231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w + 1. Let h(g) = -10*g**2 + 5*g + 5. Let k(b) = -h(b) + 5*r(b). Let f(u) be the first derivative of 18*u**2 + 14633. Give k(f(y)).\nAnswer: 6480*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/6) + (-143)\/39\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-6) - 1*-1. Suppose -p*f + 0*f = -20. Suppose 0 = -f*x - x + 25. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -30*2*(-2)\/(-6). Is r\/(-50) - (-3066)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 3. Suppose 2*f - k = -16, f + k + 8 = 5*k. Let i be n(f). Put 4, i, 1 in decreasing order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -77\/6*y**4 - 313\/6*y**3 + 0*y + 0 + 217*y**2. What is the first derivative of w(a) wrt a?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 6. Let c be 69\/23 - (5 + 1). Let h(k) = k**2 + 1. Give c*h(l) + y(l).\nAnswer: -2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = 0, 2*j - 2*h = -5 - 1. Suppose 3*o + 129 = 5*q, j*q + o - 62 = -3*o. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 12. Let f(o) = -8*o - 5 - 8*o**2 - 2 - o - o**3. Let u be f(r). Solve 0 = k + 3*z + 7, -4*k - 2*z = 1 + u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 144*l**2 + 6*l + 46. List the prime factors of k(-4).\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19065 * 0.4\nAnswer: 7626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 5*a**2 + 3*a - 48. Give u(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*11158334\nAnswer: 89266672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9 = q. Which is the smallest value? (a) -1 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3*p**5\/5 - 15*p**4\/4 - 282*p + 231. What is the first derivative of n(w) wrt w?\nAnswer: 12*w**3 - 45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*a + 737, -3*h - 3*a - 1267 = -8*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 <= 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 3742?\nAnswer: 7484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 1\/112*t**8 - 10*t**2 + 1\/20*t**5 + 1\/4*t**4 + 0*t**3 + 0*t - 1\/70*t**7 - 3\/40*t**6 + 0. Solve p(o) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13503136 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 89. Let k(m) = 4*m - 15. Let d(p) = -6*p + 24. Let j(t) = -5*d(t) - 8*k(t). Calculate j(g(i)).\nAnswer: -4*i**2 + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236586301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + l - 4*l + 6. Let q be d(0). Calculate the remainder when 46 is divided by 4*(4\/(-2) + q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-102)\/(-36) + (-3)\/(-18). Let j(r) = -2*r**2 + 2*r + 4. What is j(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*k + 2*i, -5*k + 8*i = 6*i - 45. Solve -k*q = 5*q + 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2*2\/4). Is 13 a factor of 35 - 1*(d + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*z - 27680, -4*z - 13986 - 13654 = -4*y. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmduwmqqqmmmqmm. What is prob of sequence dm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/((-23814)\/2317) + (-2)\/(-4) and 32\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70 in -1, -0.1, 3, -0.3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17594 is divided by 8700?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, 631.\nAnswer: -15, 0, 631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3737344 and 176?\nAnswer: 41110784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121424 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6 and -85\/7367092?\nAnswer: 22101276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26753*p + 13717 with respect to p.\nAnswer: 26753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*4\/(-16)*0. Let v be (0 + g\/4)\/1. Let l(i) be the second derivative of i**3\/6 + 7*i**2\/2 + i. What is l(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 1. Let t(g) = -3*g**2 - 6*g + 4. Let v(z) = 2*c(z) + t(z). What is v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03412602517 rounded to 6 dps?\nAnswer: 0.034126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*a + 63*a - 85*a + 9019 = -195*a for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 387669*y - 1550628.\nAnswer: -3*(y + 4)*(y + 129219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*j - 165 = -5*j, -3*w = 2*j - 106. Suppose 13 = 3*b - w. Calculate the remainder when 42 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.1 (c) -47 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 13 + 12)*(-267*l + 540*l - 276*l + 47).\nAnswer: 117*l - 1833","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x + 1 + 14\/3*x**3 + 8*x**2 + 1\/60*x**5 + 7\/24*x**4. Find the first derivative of g(p) wrt p.\nAnswer: 2*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27491, 110152, 247921, 440798, 688783, 991876?\n\"Answer: 27554*w**2 - w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n**2 + 122*n**2 - 16 - 7*n - 63*n**2 + 172*n**2. Is s(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*s - 3)*(-1 + 3 - 3 + (-3 + 2 - 1)*(-1 + 2 - 3) - 2 - 2 + 0) - 39 + 39 + s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1186 and 113\/20.\nAnswer: 11860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155.4 - 155.8. What is the closest to d in -0.1, -4\/7, 9, 0.6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5721 - 47*q + 5721 as p + a*q and give a.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, -322, -6, -22, 3 in ascending order.\nAnswer: -322, -22, -6, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 3. Let o be (-9)\/7 + (-2)\/z. Let m = 4 + o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t**2 - 14*t - 6. Let o(u) = 37*u**2 + 40*u + 16. Determine 8*k(l) + 3*o(l).\nAnswer: 7*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**3 - 3*i**2 - 7*i + 55. Let l(v) = -2*v**3 + v + 1. Let c(o) = -14*l(o) - 2*x(o). Differentiate c(b) with respect to b.\nAnswer: 18*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 4*d + 2. Let n be b(3). Suppose 68 = n*l - 62. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(28\/(-4)))\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 170628 (base 10) to base 2\nAnswer: 101001101010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.92 + -0.08. What is the closest to -0.1 in 4, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -136, -213, -292, -373?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/5 + 595798*t**2\/5 - t\/5 - 595798\/5 = 0?\nAnswer: -595798, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4719174ns to milliseconds.\nAnswer: 0.0000004719174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6835 by 1.\nAnswer: 6835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 20 - (-44 + 33)) + (-3 - 3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01702 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*j**3 + 3 + 79*j**3 - 248*j**3 + (-5*j**2 + 2*j**2 + j**2)*(-5*j + 4*j + 0*j) + (0 + 2 + 0)*(-2*j**3 - 15 + 15).\nAnswer: -93*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 7*i + 36. Let u(h) = -h**3 - 2*h**2 + 3*h - 5. Suppose -s - 2*s - 12 = 0. Calculate the remainder when u(s) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/55)\/d)\/(d**37*d))**31 assuming d is positive.\nAnswer: d**(-66526\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 16*m - 49. Let g(y) = y**3 - y**2 + 2*y. Let f be g(0). Suppose -5*p - 5 + 15 = f. Calculate the remainder when t(7) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -293, -281, -267, -251, -233?\n\"Answer: v**2 + 9*v - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 0*l + 38 - 5*l + 21 - 21 + 35.\nAnswer: -5*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15009756*n + 519268970?\nAnswer: -15009756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 205 + 57251?\nAnswer: 57456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58159952 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 + 2*p - 3. Let y be w(4). Let b = y + 102. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v - 42. Let s(q) = 10*q - 43. Let j(z) = -3*s(z) + 4*w(z). Calculate j(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 2, f: 1, c: 11, l: 1, s: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 - 626. Let v = -188 - d. Suppose 0*a - a = v. Round a to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - 2*l**4 - l**4 + (0*l**3 - l**4 + 0*l**3)*(0 - 2 + 3) + 0*l**4 - l**4 - l**4 + l.\nAnswer: -5*l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011010010010111 + 101?\nAnswer: 1011011010010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*r = 157*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = -0*l. What is the third biggest value in l, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*b + 1, -5*b = -2*b + 4*h + 9. Let l be 1 + (1 - 0) + b. Let t be (3\/((-3)\/(-7)))\/1. Solve -l*s - 3*u + 6 = -6*u, -5*s + t = -4*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*f + 16. Suppose -f*i + 210 = -0. What is the remainder when 69 is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -218, -435, -652, -869, -1086?\n\"Answer: -217*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g**1*g)\/g)\/g)\/g*g))\/(g*(g\/(g*g**2))\/g))**(-16\/7) assuming g is positive.\nAnswer: g**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v - 4*v + 8400*v**3 - 8383*v**3.\nAnswer: 17*v**3 - 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let i(c) = 2*c + 7. Let z be i(r). Suppose 3*p = z + 45. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 4011836.\nAnswer: 40118360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3079938, -6159911, -9239886, -12319863?\n\"Answer: -d**2 - 3079970*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 9*h**6\/40 - 23*h**3\/6 - 27*h**2\/2 - 9*h. Let w(r) be the first derivative of n(r). Find the first derivative of w(a) wrt a.\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**5\/20 - s**4\/4 + s**3\/2 - 3*s**2\/2 + 1. Let g(v) be the second derivative of t(v). Solve g(w) = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(((-2)\/(-359))\/(-2)). Let u be 1\/(-5)*-577 - 33\/(-55). Let j = h - u. Calculate the highest common divisor of j and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132 divided by -566?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 91*y**2 - 44*y - 4131. Calculate i(90).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.05 (b) -32 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/((-40)\/(-35))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 62*l**2 + 0*l**4 + 99*l**2 - 2*l**3 + 8 - 2*l + l**4 in the form n*l**2 + k + i*l + y*l**3 + j*l**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13851, -110748, -373751, -885912, -1730283, -2989916, -4747863, -7087176?\n\"Answer: -13842*f**3 - f**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*u + 25, -3*w - 5*u = -86 + 76 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1)\/sqrt(7))**2*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 47*n - 31. Calculate b(-48).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 0*l - 1\/2*l**2 + 3. Let w(k) = k. Give w(f(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.25 + 2.25. Which is the biggest value? (a) 2\/29 (b) 6 (c) 5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1336 = -5*s - 184, 5*v = 2*s - 477. Let w be ((-58)\/3 + 0)\/((-12)\/(-18)). Let o = w + 62. Calculate the greatest common divisor of s and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 34*i - 4. Let j(r) = 168*r - 20. Determine -3*j(g) + 16*w(g).\nAnswer: 40*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 366*t - 884. What are the prime factors of w(38)?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611137425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18496 and 3227008?\nAnswer: 54859136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.3. Let a = -479 - -474. What is the second biggest value in a, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 3*z - 5*r, 4*r = z - 2. Let u(w) = -7*w + 14 - z. Let b(d) be the first derivative of -d**3\/3 + 100. What is u(b(s))?\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 4, -0.05, 1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 386*b + 17700.\nAnswer: 2*(b + 75)*(b + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, 5, -6, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-49))\/((-746)\/(-7833))*-7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 25. What is the remainder when m(11) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8 + 2)*(2 - 3 + 0 + (-3 - 4 + 2)*(-1 + 2 + 0) - 2 + 2 + 2)*(k + 0*k - 4*k).\nAnswer: -156*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.484 - 0.516. What is the nearest to -2\/5 in u, 1.16, -4?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65652925 by -14.\nAnswer: 65652925\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4500 divided by 900?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/60 + j**4\/24 - 3768*j**2. Let i(g) = -3*g**2 + 8*g. What is -i(k) + 3*y(k)?\nAnswer: 6*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(208) + (sqrt(208) + sqrt(208)*-2 - sqrt(208)) + sqrt(208)) + sqrt(208) + sqrt(208))\/((sqrt(40)*3 + sqrt(40))\/sqrt(10)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 56*s - 28. Let i(t) = 8*t - 4. Determine 3*d(b) - 20*i(b).\nAnswer: 8*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/2160 - y**5\/360 - 131*y**3\/6 + 149*y**2. Let m(k) be the first derivative of j(k). Find t, given that m(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4526*i**2*p + 675386347*i**2 - 24282*i*p + 2*p**2 wrt p.\nAnswer: 4526*i**2 - 24282*i + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 419832972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {u: 2, c: 3, k: 3, d: 1, o: 1, a: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72547877 and 4?\nAnswer: -290191508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -714 divided by -3?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 z when four letters picked without replacement from {i: 12, n: 1, z: 1}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 3. Let v = -2 - 4. Let w be j(v). Suppose 210 = 3*r + 3*y - 0*y, -3*y - 6 = 0. What is the highest common divisor of w and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (3 - (2 + -1)). Suppose -w*c + 190 + 230 = 0. What is the second derivative of 2*y**4 + 140 - y - c wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (137 - -9)*1\/(-1). Let b = 595 + c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39367777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -458\/4865 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, 0.5, 263\/4.\nAnswer: -3, 2\/5, 0.5, 263\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 34 = 26*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 29.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -618*v**4*x + 34*v**3*x - 30*v**3 + 6*v*x - 393*v - 11*x wrt v.\nAnswer: -7416*v**2*x + 204*v*x - 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, e: 1, v: 1, q: 1}. What is prob of picking 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - p = 0, 0 = -5*t + p - 3*p. Suppose t*d + 20 = 4*d, 0 = 4*m + d - 1041. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3 + 8*s - 1 - s**2 - s. Let w be l(6). Let k = -1229 + 1243. What is the highest common factor of w and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i. Let n(b) = -b - 1381*b**2 - 3 + 1329*b**2 + b. What is g(n(d))?\nAnswer: -156*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 minus 429056509.2?\nAnswer: -429056509.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h - 2*h - 13*h**2 + 5*h + 0*h - 2. Let r be x(4). Let k = -837\/4 - r. Which is the smallest value? (a) k (b) 0 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2079 and 41987.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -22*n**3 + 5*n**2 + 2*n. Let p be b(4). What is p rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**4\/3 - 19*h**3\/3 + 11*h**2. Let q be w(6). Suppose t = -3*d - 4, -5*d - 6 = 4*t + q. Is d != -1\/110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -25, -72, -157, -292, -489, -760?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2861654.\nAnswer: 2, 37, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 713221170 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (4 - (3 - -13)). Calculate the greatest common factor of 4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*w**3 + 95300*d**2 + 2*d*w**2 - 114710*w**3 wrt w?\nAnswer: 6*d**2 - 688260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396044 a multiple of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 6*o + 4. Let x = 5 + 2. What are the prime factors of h(x)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(85)*-2*-1)\/sqrt(5))**2.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-60))\/(86674\/906)?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.3. Let o = -5 + 4. Let k be 34\/(-30) - (o + 0). What is the nearest to 0 in k, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (275\/20)\/(1610\/(-368))*-7\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105821 divided by 337.\nAnswer: -105821\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4*f, -4*d - 2*f + 12 - 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(44\/(-16))*(-1)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 24*p - 2. Let f(q) = -q**2 + 8*q + 1. Let g(x) = 11*f(x) + 4*o(x). Let l be g(8). Let v be -2 + l\/3 - 549. Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q*z**2 - 2*q*z - 7*q - 2*z**3 + 5 wrt z.\nAnswer: -4*q*z - 2*q - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(175) + sqrt(175) + -3 + sqrt(175) + sqrt(175)) + -5)**2.\nAnswer: -1120*sqrt(7) + 44853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 5:24 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*z - 87 = 575 - 3182 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 + 18244*w**2 - 146144*w + 292416 = 0. Calculate w.\nAnswer: -4569, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 87\/(-1)*6\/(-9). Suppose -x = 4*g - 186. Let a = g - 17. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:49 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 2*b**2 - b**2)*(-4 + 1 + 5) + 0*b**2 - 2*b**2 + 3*b**2 + (4*b - 3*b + b)*(2*b - 4 + 4) + 0 + b**2 + 0 + 1745*b**2 - 908*b**2 - 889*b**2 + 25*b.\nAnswer: -50*b**2 + 25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.6 - -60. Let g = -179.9 + 188. Let m = h - g. Round m to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -147. Suppose -61*l = -c*l + 28. Is -20 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 0*1\/(-2). Let l be w\/7 - 32\/(-7). Suppose 22 = l*q + b, 2*q - 4*b - 22 = -0*q. Solve 3*m = -q + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -603?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 7\/(-1)*(-472 - -438)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107376*l**3 + 2*l**2 - 2*l**2 - 677779*l**3.\nAnswer: -570403*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i - 25 = -5*v, -5*i - 4*v = -21. Let l be (12\/(-10))\/(105\/(-50)). Is i less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/8, -4, 5, -3, 1, -6.3, 1.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.11 + -1.16. Let k be (-4)\/(-18) + 58\/(-18). What is the biggest value in k, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -83, -53, 15, 133, 313, 567?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -2)\/(-2)*2. Let m(y) = -y**2 - y - 1. Let c be m(k). Let f(g) = -132*g + 395. Let r be f(3). What is the third smallest value in 2, r, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = 0, j = -5*i + 6*j + 30. What is the least common multiple of 9 and 2*(i + -3 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h - 6. Let b be x(-8). Let a be -2 + (-1)\/(b\/(-52)). Let n = 37 - 37. Solve n = 5*k + a - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(((-24)\/3206)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9136*r + 1994*r + 6822*r - 498*r to the form n*r + u and give n.\nAnswer: 17454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 1. Let p(i) = -3*i + 646 + 8*i - 647. Let c be 9\/(-3) - (-5)\/(20\/28). Calculate c*p(h) - 5*b(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -408577 (base 11) in base 14?\nAnswer: -130c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let k(f) = 469*f. What is k(d(n))?\nAnswer: -469*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + o - 2*o. Let f(p) be the first derivative of p**6\/60 - 53*p**3\/3 - 96. Let q(l) be the third derivative of f(l). Calculate a(q(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a - 6*a + 18*a**2 in the form v + t*a**2 + u*a and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - u**2 - 5*u + 2 - 4*u**2 as s*u**2 + k + l*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7246620 a multiple of 762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110202212200 + -110?\nAnswer: -110202220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*q + 52. What is the common denominator of -91\/6 and 292\/q - (-2)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 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: 2\/27 - 1288450\/98550\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s**3 + 5*s**2 - 15*s - 36. Let f be n(-2). Solve -d + 8 = -5*l, f*l = d + 91*l - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3451\/2 - 1679. Calculate the common denominator of -37\/20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4386 - 4335. Sort 3, 0, q.\nAnswer: 0, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((165\/(-11))\/(3\/(-2)))*(-768)\/144?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119130 is divided by 17016.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4915 + -4914.996679. What is g rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 2. Let y(c) = 7*c + 3. What is 5*r(o) - 2*y(o)?\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 19*n - 14*n. Suppose 2*y = n*x + 6*y + 20, -y + 5 = 0. Let j be x\/3*6\/4. Sort j, -5, 0 in decreasing order.\nAnswer: 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rprpprrmlpmildp. Give prob of picking 1 d, 1 r, and 2 m.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 5*i + 8. What is l(8)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v**3 - 257*v**2 - 64*v + 50. Give w(20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1212 + -1209. Which is the closest to -0.1? (a) -3 (b) -4 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r + 20*r - 2*r - 8*r - 99*r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 2)\/((-8)\/4). Suppose s*u = 3 - 9. Let v(c) = 4*c + 13. Let n(y) = -y - 3. Let a(r) = 26*n(r) + 6*v(r). Determine a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071 (base 9) in base 16?\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 17669 = -2*z, -12006 = -4*c + 4*z + 2134. Let w = -6337 - c. Round w to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = t - 2*b - 35, 2*b = -3*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37358 is divided by 12438?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(1728\/(-45)))\/(2\/8)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12426769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436387 is divided by 306.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 4.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0619 - -0.2259. Let t = u - 3.164. Is 2 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(2 - (-2345)\/(-1160)))\/((-524)\/2096)?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62739, -62735, -62729, -62721?\nAnswer: -62711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009456*o - 3*o**3 + 875*o**2 - 1009456*o.\nAnswer: -3*o**3 + 875*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9)\/f)\/f)**13*(f*f**24\/f)\/f*f\/(f**16*f) assuming f is positive.\nAnswer: f**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(2600)*-2)\/(sqrt(18)\/(sqrt(9) + 2*sqrt(9) - sqrt(9))).\nAnswer: -40*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1071006 = -p, -4*q - 118*p + 1427982 = -121*p. Round q to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -17 - 5\/2*u**4 + 0*u + u**5 + 5\/3*u**3 + 0*u**2. Factor c(j).\nAnswer: 5*j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/3 + (-42)\/(-21)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9*0 - -2. Let w = 66 + -44. Let o(d) = 23*d**3 - w*d**3 + d + d**h - 1 + 0*d. Determine o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 divided by 2973\nAnswer: -712\/2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 285\/6 - 1\/2. Let u(g) = -7*g - 41. Let o be u(-5). Let v = l - o. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let j = 0.2 - 0. Put v, j, 0.4 in ascending order.\nAnswer: v, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -4 + 1197\/285. What is the third smallest value in 3, g, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -36. Let a = f - 36.003. Let c = a + 0.002962. Round c to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u - 13. Let z = 8285 - 8274. Let j(q) = -9*q - 7. Determine z*j(v) - 6*d(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16552\/183 + -312\/61. Let a = 35 - -51. Let x = w - a. What is the second biggest value in 0, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-85)\/50)\/(-17)*-1\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55988668*m**4 - 132174876 wrt m.\nAnswer: 223954672*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1524, 3060, 4604, 6156, 7716?\n\"Answer: 4*l**2 + 1524*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 2215*v + 35172. Calculate z(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -235638, 0.23, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -366 - -1099\/3. Which is the fourth smallest value? (a) -1\/3 (b) 2 (c) -15 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*h + 606*l - 610*l, 2*l = -4*h - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + 101000110000110111000?\nAnswer: 101000110000111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, 5, 25, -4, -19 in increasing order.\nAnswer: -19, -4, 5, 25, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 13*w - 16*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3477\/5, -82 in decreasing order.\nAnswer: 3477\/5, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 15 = 5*c. Suppose -5*h + c + 10 = 0. Let w = 579 + -574. Solve w*d = -h*p - 27, 0*d + p = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3859701 at most -3859787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + -3*sqrt(11) + sqrt(11)) + -2.\nAnswer: -sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 77, 483, 1159, 2105, 3321, 4807, 6563?\n\"Answer: 135*z**2 + z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + j**2 + j**2 + (-1 + 2*j**2 + 1)*(-3 + 2 + 0) - j**2 - j**2 + 3*j**2 + 318*j**2 - 631*j**2 + 333*j**2)*(-4 + 6 + 2)*(0 + 0 + j)*(2 + j - 2).\nAnswer: 84*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + 0.05. Let i = l - -0.0403. What is i rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12)*2))**2 + -1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 16*d + 5. Let f be a(16). Suppose 3*b - 5*l + 16 = 0, 3*b - l = -7 - 1. Sort b, f, 1.\nAnswer: b, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 4*h - 473 = 15*w, 0 = -5*h + 5. What is the second biggest value in w, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -3\/4, 699922.\nAnswer: -3\/4, 2\/31, 699922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720) + 3 + -1 + -1*sqrt(20) + sqrt(2000) + 0 + -1)**2*6.\nAnswer: -360*sqrt(5) + 27006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7938 and -4.93.\nAnswer: -4.1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-7))\/k*k\/((k*k**(-1\/11)*k)\/k))\/(k**7\/(k**(-1\/3)*k)))**(-49) assuming k is positive.\nAnswer: k**(-1225\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 14.7. What is the third biggest value in 4, v, 2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n**3 + 9*n**2 + 36*n + 126. What is g(-5)?\nAnswer: -1329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(38\/5))**26*(y\/(y**(-26)*y*y))**8 assuming y is positive.\nAnswer: y**(1988\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2813\nAnswer: 6\/2813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**2\/2 + 20*l + 25. Let k be b(5). Calculate the highest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, o: 7}. Give prob of sequence ddd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/9, 0.1, 14.0805 in ascending order.\nAnswer: -4, 0.1, 1\/9, 14.0805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**3\/6 - 4*l**2 - 2*l. Calculate j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2143166 and -2143154 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0\/2)*-3. Let z(s) = s**3 + s**2 - 3*s - 2. What is the remainder when z(o) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(((x**4\/x)\/x)\/x)\/x)\/x**(-8)*(x*x**(-36))\/x**(-12) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {u: 3, h: 3, j: 2, y: 3, q: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 2*j = 0. Suppose 4*u + 2 - 14 = j. Factor 0*f**2 + 0 - 1\/4*f**u + 0*f.\nAnswer: -f**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -22. Suppose -f*r + 16*r + 44 = 0. Calculate the least common multiple of r - -19 - (1 + -22) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 + 144. Suppose 54 = w*g - 24*g. Solve g*l - 12 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let b(q) = 70*q**2 - 5*q - 4. Let o be 8 + ((-24)\/(-9) - 3)*12. Let f(g) = -g**2 - g - 1. Let m(l) = o*f(l) - b(l). Determine m(w(n)).\nAnswer: -296*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 19. Suppose -4*y = -u*g + 204, 0*g = 2*g - 3*y - 200. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -4 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*i*u*x - 25*i*u + 2*i - 73*u**2*x - 10*u**2 + 583*u + 118*x wrt x?\nAnswer: 31*i*u - 73*u**2 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116801 + -180.\nAnswer: 116621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 15*u**2 + 3*u - 18. Let w be v(15). Suppose 4*n - 374 = -134. Let i be (n\/18)\/((-6)\/(-9)). Sort 2, w, i.\nAnswer: 2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:34 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 6*q - 12. Suppose -q*u = 4*t - 27, -1 = 2*u - 4*u + 3*t. Solve 0 = -2*c + u*k - 1 + 20, 3 = -k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1540 and 176?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 134735883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -196.7789 and -0.27199?\nAnswer: 196.50691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**2 + v**2 + 3*v**2 + (10*v - 5*v + 4*v)*(2*v - 2*v + 2*v) + 2*v**2 - 3*v**2 + 3*v**2 + 2*v**2 - 5*v**2 + 2*v**2.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -s + 2*a, 5*a = -s - 4*s + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-53050)\/(-75)*(-3)\/(-2). Suppose -2*c = 0, 4*p - c - b = 931. Suppose -p + 144 = -6*v. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 408\/80 + -15*3\/(-50). Solve -3*c = -5*j + 8, c + q = -2*j + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (52\/(-2))\/((-6)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-618)\/(-9)*(-2)\/(-7). Let l = v - -12\/7. Let d = 3719 + -37301\/10. Find the common denominator of d and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19232903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 + -9*(6 + -11). Is 51 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 4*a - 10*a)*(-4 + 0 + 2)*(10 + 8 + 10) as o + v*a and give v.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 665, 1248, 1831, 2414?\n\"Answer: 583*a + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6494 + -6494.00002909. What is w rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120304 is divided by 85.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*p + 5*v, p + 3*p - v = -17. Let s be 141\/(-21) - p\/(-14). Let y = 12 + s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*s + 3762 + 21819 = 0, -4*l + 5*s = -34170. What are the prime factors of l?\nAnswer: 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227678, -227711, -227744, -227777?\nAnswer: -227810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -0.5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 6*w + 75, 95*m + 5*w = 98*m - 2 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**4 - t**3 + t**2 + 3*t + 1. Let q(w) = 199*w**4 + 2*w**3 + 21*w**2 - 3*w - 2. Let g(h) = q(h) + 2*x(h). Find the third derivative of g(i) wrt i.\nAnswer: 4728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1064*x + 3198 wrt x?\nAnswer: -1064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/51195428 or 0?\nAnswer: -1\/51195428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 0*d**2 - 3*d**2)*(4*d**3 - 2*d**3 - d**3 + 3*d**3 - d**3 + 0*d**3 + (0*d + d + 5*d)*(-2*d + 2*d + d**2)).\nAnswer: -54*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)*(-15 + 10). What is the thousands digit of (-1 - p\/2)*5700\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -16*c**3 - 14509*c**2 + 2690*c - 28120. Give a(-907).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + x**3 - 2*x**3 - 12*x + 30 + 22.\nAnswer: -x**3 - 12*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*u + 11121341 + 30273 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13134.\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -8*n - 125. Let f = n - 50. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.603 times 1182?\nAnswer: -1894.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 889 = -9*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.07 + 1.07000053. What is l rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 56. Which is the third smallest value? (a) 1\/2 (b) 0.3 (c) i (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 21.2\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6. What is the common denominator of -83\/8 and (-4)\/x - 1267\/84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359251865.\nAnswer: 5, 7, 10264339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(28*l**5 + 6 - 6).\nAnswer: 56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 6 - 2 - 7 + 6.\nAnswer: -2*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 165728?\nAnswer: 828640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bafb when four letters picked without replacement from {f: 3, a: 3, b: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 285 = 90. Let v(g) = g**2 + 18*g + 76. Let o be v(-17). Suppose 4*a - j = o. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161747077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*f = -338*f + 1980. Solve -s + 13*a - 12*a = -1, 0 = 5*a + f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232 - -10023?\nAnswer: 4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 48*y**2 + 112*y.\nAnswer: -4*y*(y - 14)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 - 68. Suppose -330 - 126 = -t*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -323*o + 8. Let z be (17\/85)\/(1\/(-5)). What is the units digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((690\/(-15))\/(-1472))\/((-1)\/(-60)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 - 1.8. Let v = 208 - 207.2. Let s = c - v. What is the third biggest value in 3, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-26 + 19 - 24)*(-2*y**2 + 6*y**2 + 16*y**2).\nAnswer: 1240*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuuxuueufueufxkxuju. Give prob of sequence fjxf.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -100*u**5 + 322080*u**4 - 16403316*u**3 - 38369720*u**2 + 38486928*u - 8214048 = 0.\nAnswer: -3, 2\/5, 54, 3169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -262, -514, -776, -1054, -1354, -1682, -2044, -2446?\n\"Answer: -z**3 + z**2 - 248*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -122691044514 + 447\nAnswer: -122691044067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from {u: 2, a: 1, y: 1, i: 2, d: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 11. Suppose 3*x = -2*m - t*x - 11, 5*m = x - 14. Is ((-23)\/(-2))\/(m\/(-18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1475514 divided by -336\nAnswer: -245919\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -849007, -3395996, -7641015, -13584070, -21225167, -30564312?\nAnswer: -41601511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.33 + -3.13. Sort -2, t, 14 in decreasing order.\nAnswer: 14, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 + -2)**2.\nAnswer: 40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 8*r**2 - 8*r + 5. Let q be k(-7). Let z = q + -11. What is the units digit of 2*(4 - 2) + z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 122*x + 1351. Let i be c(-11). Solve 9*v - 18 = -i*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -4\/32125 (b) 2\/7 (c) -1\/6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 45 (b) -6 (c) -3166 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + -1 + 3 + sqrt(7) - ((sqrt(196)*2)\/sqrt(4))\/(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 2*sqrt(1008) - sqrt(1008) - sqrt(1008)))))*-5.\nAnswer: -30 - 25*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 6 - 34 = 0. Let p = 270 + -378. Let o be 1\/(3\/p*-3). Solve -k - 10 = -f*m, -m + o = k - 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-30)*(-5)\/(-9). Let w = 1.9 - 1.6. Let o = -0.1 + w. Which is the biggest value? (a) o (b) r (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 2 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 740.083525 - -0.026475. What is q rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3835\/(-236) - 2373\/(-452)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 4:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*t - 5*t - 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 190*z**2 + 674*z**2 + 46 as f*z**2 + m + b*z and give f.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 3, -17.23, -16, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2093 times 0.4\nAnswer: -837.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 6*u + 7. Suppose -3*y - 12 = 3. Let j be f(y). Solve j = 3*r - 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3 (c) 157 (d) 4 (e) -32\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 171 = 4*k, -i - 4*k + 67 = -k + 2*k + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + (-129 - -114) - (-10 - -1)) + -60 + 1?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 8120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 649 - 649 - 35*k**3 + 3*k**3 + 3*k**3 - 4*k**3 + (2 - 2 - 3*k)*(-8*k - 3*k**2 + 8*k) to r*k + u*k**3 + n + v*k**2 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -4*o**3\/3 - 1622. Let a(j) = 471*j + 1. Determine a(h(r)).\nAnswer: -1884*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (7 + -5 - 7) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/11, 2\/23, -0.18?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*u + 141 = 0, -u + 2*u = -k + 53. Suppose -k = -j - 0*j. What is the lowest common multiple of j and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9044369599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1800) - (-1*sqrt(1800)*4 - sqrt(1800) - sqrt(1800)))*-3)\/(-2*(sqrt(24)*4 - sqrt(6))*4).\nAnswer: -2 + 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3490.7 + -3491. Which is the nearest to 0.5? (a) 0.3 (b) -2\/3 (c) z (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/((-12)\/16). Solve -l*j - 1 = 3*v, -5*v + 0*v = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**8\/10080 - x**7\/2520 + x**5\/20 - 5*x**2. Let m(r) be the third derivative of b(r). Factor m(u).\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 228\/10 - 2\/(-10). Suppose 4*r = -5*k + u, -3*k + 6*k - 18 = -r. Suppose 1 = -4*j + 41. Calculate the lowest common multiple of k and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20362403 less than -796?\nAnswer: -20363199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 504 - 871. Let q = 920 + f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11821427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33314 + 33314 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, -5, 7, 1\/3.\nAnswer: -5, 2\/45, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 7:11 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-28)\/(-16) + 0. Let o(a) = -a**2 + 2*a - 3. Let k be o(f). Let s = -21 - k. Solve -2*m = y + 7, -m - 4*y = y + s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 330?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:47 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4920)\/47560)\/((-9)\/2958)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(3*t - 105*t - 156*t)*(-2*t**2 - 2*t**2 + 5*t**2).\nAnswer: -774*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/5 - (-504)\/(-840).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmm when three letters picked without replacement from {v: 4, m: 2, t: 1, g: 3}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 481da (base 16) to base 15\nAnswer: 5c7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2699 = -c, -10*p = -2*c - 15*p - 5395. What is the hundreds digit of (8 - 7)\/(5396\/c - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 0.41. Let n = 0.45 - 0.95. What is the second smallest value in 0.3, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 27*h**2 + 14*h - 9. Let o be t(13). Which is the second smallest value? (a) 0.16 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a3 + -4244f?\nAnswer: -423ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42074800 rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5593886.5000003 - 5593887. Let r = s - -0.5. Round r to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632213 is divided by 2901?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:12 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372770291.\nAnswer: 19, 19619489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14294990 + -206484990. Round y to the nearest 1000000.\nAnswer: -192000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 4:06 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -71. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9f5 (base 16) to base 4\nAnswer: 213311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x**3 + 76*x**2 + 38*x - 28 = 0. Calculate x.\nAnswer: -7, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*97121\nAnswer: 29136.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20743*g = 20775*g - 480 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37875098?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s + 8. Let g be k(4). Suppose 0 = -m - 0 - 3, 744 = 4*j - g*m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.032824 millimeters to meters.\nAnswer: 0.004032824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(11) - sqrt(11)*-1) - sqrt(12) - (1*sqrt(972) - sqrt(12)))\/(sqrt(60)\/(sqrt(50)\/(sqrt(5)*-1))).\nAnswer: 17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 7\/78, -2\/5, -0.5, 1103, -0.01, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpfp when four letters picked without replacement from fppppfpfppff?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1502 + 23240?\nAnswer: 21435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.3, -4, 347, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 391*c. Let b(z) be the third derivative of -z**5\/30 - 2*z**2 + 360*z. What is b(m(x))?\nAnswer: -305762*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187476*h**2*k**2 + h**2*k - h*k**2 - 4*k**2 + 637985643*k wrt k.\nAnswer: -374952*h**2 - 2*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a. Let d be j(-4). Suppose d = -5*s - 1 + 11. Let o(h) = 2*h**3 - 4*h**2 + 3*h - 2. Give o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -706, -1, 1 in increasing order.\nAnswer: -706, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/26 - 63\/286. Are 2 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210102 + 13?\nAnswer: -210023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 less than 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, t: 1, e: 2, j: 2, k: 6}. Give prob of sequence kqe.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3078 divided by 2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**4\/6 - s**2\/2 + 2*s. Let f(a) be the first derivative of y(a). Let i(n) = -7*n + 7*n - 2*n**2. What is f(i(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14397378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22620 or -22618?\nAnswer: -22618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*i - 381 - 863 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.7. Let i = -136.222 - -136. Let g = -0.078 + i. Which is the second biggest value? (a) 3 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216*z**6 - 828*z**2?\nAnswer: 25920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 872029.3 centimeters?\nAnswer: 8.720293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206885 by 2514.\nAnswer: -206885\/2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13463221?\nAnswer: 29, 157, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(95) + sqrt(95))*6)\/sqrt(5) + (sqrt(19) - (-1*sqrt(475) - sqrt(19)))*5)**2.\nAnswer: 15979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**4 + 2*f**3 - f**2 - 1. Let d(l) = -4*l**5 + 52*l**4 - 20*l**3 - 28*l**2 + 32*l - 4. Let b(g) = -d(g) + 4*i(g). What is u in b(u) = 0?\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2\/7 - 4048*b\/7 + 8112\/7 = 0 for b.\nAnswer: -1014, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (381\/(-6) + 0)\/(46\/(-6164)).\nAnswer: 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nooonooooo. What is prob of sequence nooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11881932.\nAnswer: 2, 3, 43, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose t*r + r = 0. Solve -j = -r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -62*p - 42. Let n be 39\/26*(-68)\/(-6)*-1. Does 92 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*d**2 - 8*d**3 + 5*d**3 - 106*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/43 - -158\/301. Let k be -5 + 4 + (-6)\/(-4). What is the closest to 2 in 4\/5, f, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/((t\/((t*(t*t**(-3\/4))\/t)\/t))\/t)*t*t))\/t)\/(t*t**3))\/((t*(t*t*t\/(((t**(-6)*t*t)\/t)\/t))\/t)\/t**4))**(-37) assuming t is positive.\nAnswer: t**(1665\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*x - 5*x. Let d = 40 - 15. Suppose -d = -x*u + 55. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 6 (b) 21\/5 (c) -41\/3 (d) 3\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4422\/88 - 2\/8 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32.28071 at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/5 + 16*j**3\/5 + 26*j**2 - 1008*j\/5.\nAnswer: -2*j*(j - 9)*(j - 7)*(j + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/1*((-115)\/10)\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(5*(-2)\/(-10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 3\/2, -0.1, 1, 4 in decreasing order.\nAnswer: 94, 4, 3\/2, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2123 and 5?\nAnswer: 1.0615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 25203\/651)\/(2\/(-56))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314604 is divided by 1208?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 3*f. Let n(i) = -i. Calculate -3*n(m) + o(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 5*b - 1, 22 = -2*t - 2*b. Let v be 1 + -1 - (t - -6). Suppose v*h - 24 = -6. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -5, -3, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 455 - 413. Solve -31*p + n = -17*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**8\/420 - y**6\/45 + y**4\/6 - 5*y**3\/3 + 7. Let i(u) be the third derivative of j(u). Suppose i(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 961*d - 957*d - 48457 = 0, -2*q = -3*d - 32333. What are the prime factors of q?\nAnswer: 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.2? (a) -6 (b) -5 (c) -26\/9 (d) -17 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823669, 823672, 823675, 823678, 823681, 823684?\nAnswer: 823687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9) - (-1*sqrt(441) - sqrt(441))) - (4 + sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 1))))**2.\nAnswer: 358*sqrt(13)\/5 + 418558\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y + 3. Let f(b) = 65*b - 25. Let g(p) = -25*a(p) - 3*f(p). Let k(j) = 2*j. Calculate g(k(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*i**3 + 350*i**3 - 66*i**3 + 346*i**3 + 2 to the form u*i**3 + m*i + g*i**2 + x and give u.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/(-375))\/21 - 51088\/1550.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011795302 to four dps.\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 - 1\/(-3). Suppose 0*f + 4*f - 44 = 4*v, a = 4*f - 2*v - 46. What is the highest common divisor of f and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Suppose 257 - 632 = p*t. Let z = -35 - t. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by 30865.\nAnswer: 58\/30865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p - 2*p)*(-2 + p**2 + 2) - 2*p + 2656*p**3 + 263 - 1326*p**3 - 1332*p**3.\nAnswer: -p**3 - 2*p + 263","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*s**2*v**2 - s**2 - 2*s*v*y - 2*s*y + v**3*y - 23*y wrt v.\nAnswer: -12*s**2*v - 2*s*y + 3*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1300*w - 168*w + 322*w = -18336 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 84. Let z be i(6). Suppose z*a = 98*a - 968. What is the remainder when a is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus -5033.098979142?\nAnswer: -5033.088979142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 46*s**2 + 53*s - 275. List the prime factors of z(46).\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 3:35 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85648?\nAnswer: 2, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-15) - (-22)\/6. Suppose -i = -3*v - a*i + 9, i - 3 = -5*v. Put 0.5, 4\/7, v in decreasing order.\nAnswer: 4\/7, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(213\/(-710))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 8*v - 9. Let h be 1182\/90 - (-2)\/(-15). Suppose 3*a + h - 49 = 0. Let w be i(a). What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - (-74)\/(-14). Let a = 4 + r. Is 23 + -1 - (1 + a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8217.987015 - 8218. What is l rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 4*i. Let u be l(5). Suppose 0 = 2*a - 27 - 13. Solve -u*j - a = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 24\/(-9))\/(3\/36). Suppose g - 33 = 15. Calculate the greatest common divisor of r and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*l - 112*l - 16*l**2 - 106*l + 399*l + 20*l**2 - 93*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 674000671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + -12. Let i be 16\/b*10\/(-4). Suppose -4*s = -i*k + 26, 2*k - 3*s - 16 = 5. Solve k*m - 4*m - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 + l**3 - l**2 - 92 in the form f*l**3 + g*l + j*l**2 + q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -473 times -0.07\nAnswer: 33.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 67340 * -246\nAnswer: -16565640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from {q: 7, j: 3}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-12)*1*3. Let j(i) be the second derivative of -i**5\/20 + 7*i**4\/12 + i**3\/6 - 5*i**2 + 396*i. Calculate j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = -20. Let k = -0.2 - -0.3. Which is the closest to k? (a) x (b) 9\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54386 = 9*j - 1691614. Round j to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1459271 + -1459268.7999904. Let h = f + -2.2. Round h to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 53016018.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 2*x**2 + 2*x. Calculate y(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 22. Let z = -20 + 20. Suppose z*g - v = -2*g + f, 5*g = -2*v + 88. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3048813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 3*o**2 - 3*o**2)*(1 - 3 + 4)*(2 - 4 + 3)*(-o - o + 5*o).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3\/4 + 7*a**2\/4 + 15*a\/4 + 9\/4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 5421650?\nAnswer: 5421574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 9 in descending order.\nAnswer: 9, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**4 - 5*l**2 - 6. Let o(h) = 6*h**2 + 0*h**2 + 6 + 1 + 7*h**4. Let n(x) = 6*k(x) + 5*o(x). What is the first derivative of n(b) wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 + 10*p**2 - 5*p**2)*(1 + 3 - 2) + 2*p**2 - p**2 + 0*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 44*n**2 + 349*n - 13169. What is m(43)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 13*j + 34. Let m be u(-10). Suppose -4*h + 181 = -n - 86, -m*n = 2*h - 120. Calculate the highest common factor of h and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 50 = 6*k. Let m(x) = 2*x**2 - 14*x + 1. Let u(q) = 5*q**2 - 41*q + 4. Let a(d) = -8*m(d) + 3*u(d). Let b be a(k). Solve 6 + b = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {k: 2, o: 3, z: 6, p: 2, y: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1795*s. Let j(u) = -11*u**2. Calculate j(h(w)).\nAnswer: -35442275*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17329891.\nAnswer: 17329891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 6 = 2*h, 2*c + 12 = -3*c + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3867027, 7734153, 11601295, 15468459, 19335651, 23202877, 27070143?\nAnswer: 30937455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/51))\/(((l\/(l*l\/(l*l**(-1\/2)\/l)))\/l)\/l)*(l**13*l)\/(l**(-1)*l))**(13\/4) assuming l is positive.\nAnswer: l**(24479\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -3*s**5 + s**4\/4 + 100*s - 250. Find the first derivative of c(z) wrt z.\nAnswer: -60*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4219118148.\nAnswer: 2, 3, 7, 157, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 11 + 3 = 0. Suppose 0*d**u - 1\/4*d**3 + 3\/4*d + 1\/2 = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 12. Suppose p + 2 = u. Solve 3*t + 32 = 5*f, 0 = 2*t - f + 21 - p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 6*l + 4 + 3*l + 4*l. What is j(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.061?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Let d(o) be the third derivative of 77\/480*o**6 + o**2 + 2\/15*o**5 + 0 + t*o + 0*o**3 + 7\/120*o**7 + 1\/24*o**4. Let d(y) = 0. Calculate y.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 1. Suppose -5*o + o + 40 = 0. Suppose -y*w + 2*g + o = -2*w, 4*g = -w - 6. Calculate the smallest common multiple of 1 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.36652ml to litres.\nAnswer: 0.00136652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orhr when four letters picked without replacement from {r: 6, b: 4, h: 3, o: 4}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 4 (c) 5\/42 (d) 2.6358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18605*h = 18599*h - b - 12, -10*h - 68 = -b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 396*d + 4.\nAnswer: -396*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1373, -3\/7, 1, 0.3, -5\/6, 0 in decreasing order.\nAnswer: 1373, 1, 0.3, 0, -3\/7, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w - 74. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*z + 907285, -z - 39182 + 220639 = 5*r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10544413 and -3\/42177652.\nAnswer: 42177652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a - 12 = 0, 5*s = 4*a - 852. Let f = s + 183. What is the smallest common multiple of f and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74*v - 13683 + 66*v - 921*v**3 + 63*v - 196*v wrt v?\nAnswer: -2763*v**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94.0605 + 17053519\nAnswer: 17053424.9395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i. Let y(n) = -n. Let x(u) = -l(u) + 2*y(u). Let v(f) = f - 3. Let c(r) = -12*r + 32. Let w(s) = 3*c(s) + 32*v(s). Calculate w(x(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -562659 or -562658?\nAnswer: -562658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(5\/4 + 30\/(-120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2610928 and 69\/7888.\nAnswer: 2610928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 0*u - 19*u**2 + 2*u**3 - u - 8 + 12*u**2. What is the tens digit of m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312646121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -267398 + 83428339\/312. Find the common denominator of a and 95\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfhlv. Give prob of sequence lhv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:15 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.478581 decades?\nAnswer: 0.8478581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*r - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 4, r: 1, s: 3, l: 2, j: 2}. Give prob of sequence jnsl.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13689597 by -3.\nAnswer: 4563199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1350, -3, -5, 4631.\nAnswer: -1350, -5, -3, 4631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130, 37, -76, -203, -338, -475, -608, -731?\n\"Answer: l**3 - 16*l**2 - 52*l + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose 2*r + 4*z = 7 + 27, 0 = -o*r + 3*z + 20. Let x be 1\/3 - r\/3. Is -4 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70545 by 3.\nAnswer: -23515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -0.064 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 12\/9*3. Suppose d - 10 = -g*j + 7*j, 4*j = -5*d + 21. Suppose -d*u - 55 = -k - k, -3*k = 3*u - 93. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 188, 561, 1330, 2693, 4848, 7993?\n\"Answer: 33*q**3 + 142*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722347.\nAnswer: 17, 42491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 957169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 18 + 9 - 1 - 1 - 2 + 3 + 2 - 3 + (5 - 1 - 2)*(-1 + 3 - 1) + 14 - 10 - 1 - 2 + 0 + 0)*(2*f - 2*f + 2*f) in the form u*f + r and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 6 (c) 0.4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - -85. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22005 + 32066. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 (base 7) to base 2\nAnswer: 101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 96, 343, 828, 1629, 2824, 4491, 6708?\n\"Answer: 13*i**3 + 2*i**2 - 10*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8a0df (base 16) to base 15\nAnswer: b2831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 3 + -18 - (-27 + 21). Let s(h) = 2*h**2 + 5*h - 35. What is s(x)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5995.\nAnswer: 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5650103*o**5 + 1096764*o.\nAnswer: 113002060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -15. Let s(k) = 6*k**2 - g*k**2 - 9*k**2 - 4*k**2. Let z(v) = 3*v. Calculate z(s(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.826 take away -4.1?\nAnswer: -156.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/3 - 664*u**4\/3 + 1191502*u**3\/3 - 252800516*u**2\/3 + 996925448*u\/3 - 992170160\/3 = 0.\nAnswer: -1030, 2, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -39. Suppose v = -m + 9*m. What is f in 2\/11 - 18\/11*f + 50\/11*f**3 + 30\/11*f**m = 0?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/4*1\/(-4). Let k(d) be the first derivative of 0*d**2 + 2\/21*d**3 + 0*d - 1\/28*d**4 + a. Solve k(j) = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.48 - -339.38. What is u rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (10 - (19 + -4) - (2 + -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.2, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4174563.\nAnswer: 3, 1391521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*x - 29*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 13*j + 2 = 0. Solve 0 = -3*l + 3*h - 5*h + 5, l = j*h + 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79216.52 grams to tonnes.\nAnswer: 0.07921652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -152093664 times -4\nAnswer: 608374656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4*m + 3. Let h be i(-4). Let j be h\/(-2)*36\/(-189). Let d be 2\/(-12) - 125\/(-210). What is the closest to -0.1 in j, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 7. Let v be (4\/10)\/(t\/30). Suppose -l + 2*f = -1, -v*l = -2*l - 2*f + 2. Which is greater: -4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -233812?\nAnswer: -233812.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/13)\/y**10*(y*y\/(y**(-13)*y))\/(y\/(y*y*y**(3\/2))) assuming y is positive.\nAnswer: y**(165\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -627 * -2.\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -12*d - 2*d. What is the remainder when 35 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 - -366. What is the remainder when c is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202719 is divided by 18182?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.2 (b) 4 (c) 9\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4151 + -4199. Which is the second smallest value? (a) 5\/6 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34730*l + 6310 wrt l.\nAnswer: 34730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2 = i, -5*i = -i - 8*i - 5*r - 61280 + 61261 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 less than -131938607?\nAnswer: -131938607.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 23. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.4736 decades in years?\nAnswer: 2964.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 16*j - 64 = 0. Find the second derivative of -34*y**j + 4*y**4 - 6*y - 22*y + 4*y wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/8 + 14*y**2 + 228*y. Let v(q) be the first derivative of g(q). Let j(i) = 22*i. Determine v(j(b)).\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010 (base 2) in base 16?\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4910, 9819, 14728, 19637, 24546?\nAnswer: 29455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48.033mm?\nAnswer: 48033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 75 = 4*a. What is the smallest common multiple of 5 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, t: 3, e: 1, i: 1, g: 2, w: 1}. What is prob of sequence ggdt?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -1\/210*r**6 + 5*r**2 - 3 + 0*r**3 - 17\/105*r**5 + 0*r + 0*r**4. Factor k(p).\nAnswer: -4*p**2*(p + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. What is the units digit of ((-13)\/y)\/((-6)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2. Let i(q) = -q**3 - 8*q**2 + 9*q + 4. Let h be i(-9). Determine p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66852 divided by -54?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -319346 to the nearest one thousand.\nAnswer: -319000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-5)*(-10)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*z - 42, -z - 8 - 18 = 5*i. Let a(l) = -7*l - 32. Let j be a(z). Solve 4*w - j = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38686532 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23054, 22794, 22538, 22286, 22038?\n\"Answer: 2*w**2 - 266*w + 23318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2))\/((-6)\/(-84)). What is the lowest common multiple of 5 and (-14)\/d + (-16)\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(11\/5)\/(n**(1\/17)*n)*n**10*n*n*n*n**6*n*n*n assuming n is positive.\nAnswer: n**(1967\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560404 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-145)\/(-116))\/(1\/4) - 5. Let q = -13 + 18. Solve -5*j - q = -d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 657 + -644. Suppose 0 = -o*v + 77 - 25. Solve v*u - j = 24, j + 2 = 2*u - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 28885312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 0.4118 (c) 2 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 170 and -1.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 1422 = -338. Suppose -k = -4*a - y, -2*a + y - 4*y + 30 = 0. Solve 2*u - 1 = -3*c, 0*u + a = 3*c - 3*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8797*p + 8810*p - 15 - 2*p**2 - 4*p**2 + 63 as f*p**2 + j*p + k and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 4*u**2 + 6*u + 4. Let m be z(-5). Let i(h) = h + 1. Let q be i(m). Is (q - 2\/3)\/(7\/(-3759)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1 + (1 - -2)). Suppose d = 5*k - 18 - 2. Solve k*j - 2*j = 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y - 8. Let c be (6\/y)\/(6\/4). What are the prime factors of (6\/c)\/(2\/17)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1164 + 17*h**2 + 1164 + (2 - 2 + 2*h)*(-1 - h + 1) - 4 - 2*h**2 + 4 to t*h**2 + x + k*h and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 85. Let m = z + -12. Let h = -15 - m. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239\/78, -5, 4 in descending order.\nAnswer: 4, -239\/78, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**2 - 2*q - 7. Let o(i) = i**2 - 1. Let r = 33 - 34. Determine r*z(t) + 6*o(t).\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5940\/13 or -1\/4?\nAnswer: 5940\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or 3.9?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 1 + 31 = 0. Suppose -5*k + h*k - 27 = 0. Calculate the remainder when k is divided by 2\/3 + 21\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 8:36 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-8)\/6)*3. Suppose -n*b = -3*k - 4*b, 4*b = -5*k. What is the third derivative of k*p**6 + 4*p**6 - 3*p**6 + p**2 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let d(n) = 74*n - 2. What is d(f(b))?\nAnswer: -74*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, u: 3}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4783*b**3 + b**2 + 5*b + 4. Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2290, 4562, 6834?\nAnswer: 9106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11736 and 16137?\nAnswer: 129096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 5) to base 14\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrgrgg. What is prob of picking 2 r and 1 g?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.268 rounded to zero decimal places?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 3*u - 1. What is m(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/4*72*-1. Let d = v + 2163\/8. Is d smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 6590*s\/7 - 13172\/7.\nAnswer: -2*(s + 2)*(s + 3293)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*b - 3 - 9, 2*b + 14 = 3*s. Let d be (-10)\/(-4*1\/s). Let c(a) = 0 - a + d*a**2 + a**3 + 1 - 5. Give c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let h(x) = 53*x + 35*x + 214*x. What is b(h(t))?\nAnswer: 604*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2980 = 5*f, 0 = 4*f - 6*v - 0*v - 2384. Put -4, -2, f, -3 in decreasing order.\nAnswer: f, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -438?\nAnswer: -438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.272 rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 908345745 to the power of 1\/3, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3.6 (b) 4 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-1)*(1 - 2). Let c(u) = u + 6. Let t(p) = 2*p + 11. Let f be 1*(-1 + 2)*2. Suppose f*x + 21 = -x. Determine w*t(d) + x*c(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2764 and 67\/22?\nAnswer: 30404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -14. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 56924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1561 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 414044 (base 5) in base 10?\nAnswer: 13649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 + -105. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -2194, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 - (9 + 2256\/44). Is o not equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3020 + 146. Suppose 4*b + 4*v - 1146 = 786, -2*v = -2*b + o. What are the prime factors of b?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(3 - 8\/2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.06 + -0.21. Let w = -0.15 - i. Which is the nearest to 0? (a) w (b) -2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let i be 1*2\/g*35. Does 3 divide (-185)\/i + (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 5*r + 6. Let k be a(-4). Solve -23*x + 35*x - 45*x**3 + 48*x**2 + 6*x**4 + 6*x**4 - 12*x**k = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -5766982526.\nAnswer: -5766982526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.71851 litres to millilitres.\nAnswer: 72718.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1732141999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 30 = -3*n, 5*x + 0*x = -2*n + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u + 81*u + 7 - 22*u + 0 + 88*u.\nAnswer: 109*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*sqrt(600)*-1*-4)\/(-2*sqrt(128)*1 + -4*(sqrt(128) + sqrt(128)*2 + sqrt(128)) + sqrt(128)).\nAnswer: -25*sqrt(3)\/17 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w + 24 = 0. Let h be w\/(-14) + -2 + 2. Let d = -48 + 51. Sort d, h, -0.2.\nAnswer: -0.2, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:49 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214117.\nAnswer: 1214117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77418, -77417, -77416?\nAnswer: -77415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1955 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3. Let v(g) = g**2 - 2. Determine -s(m) + 2*v(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-180)\/8*-4*(-7)\/(-7). Let k be (0 + 30\/75)\/((-1)\/(-100)). Calculate the greatest common factor of k and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113 (base 4) to base 9.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 13*v**2 + 2*v - 11. Let l be (-11 - -9)*(-13)\/2. List the prime factors of z(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -1243, -1818?\nAnswer: -2393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 698*q**2 + 694*q + 802. Determine h(348).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 47*r - 320. What is t(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from wjwwwjwtwwjxwwxwwjj.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -24, -67, -130, -213, -316, -439?\n\"Answer: -10*r**2 + 7*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19\/806, 0.5, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 165 - 35. Let h = -24 + s. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246\/53 + 5070113\/1092330. Let d = g - 499796\/72135. What is the common denominator of d and -17\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bf (base 16) to base 12\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 38*d. Let i(v) = -v + 24. Let o(r) = -r + 40. Let a(u) = -5*i(u) + 3*o(u). Calculate f(a(s)).\nAnswer: 76*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9.8. Suppose -5*v = -2*v + 48. Let i be 9\/(-7) + v\/(-56). Which is the second biggest value? (a) p (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 7:31 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -86? (a) -2 (b) -31 (c) -21 (d) -4 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, -2, -56, -3 in increasing order.\nAnswer: -56, -23, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + 0*i**4 - 5*i**4 + (-2*i**2 - 2*i + 2*i)*(-5*i**2 + 2*i**2 + 0*i**2) + (-2*i + 2*i + i**2)*(3*i**2 - 3*i**2 - 2*i**2).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 9, -2, -3.\nAnswer: -7, -4, -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 18*q**3 - 4*q**2 - q + 4. Let n be s(3). Calculate the greatest common factor of n and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146237?\nAnswer: 7, 13, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 11) in base 15?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1857 + -1930. Which is smaller: v or -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -19*r - 8142000. Round r to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) 4 (c) 20\/19 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -4, 722\/1825?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2158465 - 2158462. Let k be 2\/(-2) - (-2 - 2). Suppose k*i = 5*i - 12. Calculate the greatest common divisor of m and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2958*a**3 - 1472*a**3 - 1485*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-705)\/(-135) + (-4)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/900 + i**4\/60 + 2*i**3\/3 - 5*i**2. Let n(z) be the first derivative of v(z). Factor n(k).\nAnswer: -2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54300 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v + 4*i, -2 = -4*v - v - i. Suppose -5*g = -v*g - 5, c = -3*g + 15. Calculate the least common multiple of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 5:53 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamhcffmfhmahfpcfmm. What is prob of sequence fm?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r = 896. Let n = r - 204. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92.5 - -92. Suppose 0 = 4*r + 3 + 1. Let m = 2 + r. What is the biggest value in 2\/3, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:09 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 3*u + u + 3*u + 0*u - u + (-4 - 6 - 1)*(3*u - 3*u + 2*u).\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3289*x + 3297*x - 9873*x + 3290*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 153 + 1 + (-14589 - -14325)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**5 - 315532*d**4 - 1577576*d**3 - 1262048*d**2 = 0.\nAnswer: -78878, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3014 divided by 2.\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - s = -47, -u = s + s - 46. Calculate the lowest common multiple of 36 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 16, u: 4}. Give prob of sequence juuj.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1421 and 812.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujus when four letters picked without replacement from {j: 2, s: 1, u: 2, a: 1, k: 1, m: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a factor of 18132872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*k - 7 = -3*p, -4*p = 3*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*r = 16, v - 3*r - 1 = -5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**2 - 148*x**2 + 974 + 167*x**2 + 184 as i*x**2 + f + v*x and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) + (-380)\/525. Which is bigger: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 - 7*u**3 + 2*u**4 - 5*u**4 + 5 - 2*u**4 + u - u**3 in the form c + y*u + t*u**3 + l*u**2 + j*u**4 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from {j: 2, r: 3, h: 2, z: 6}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 62.27, 39, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -1689193 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620487559?\nAnswer: 12953, 47903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 679217*d**3 + 1207325*d**2 wrt d.\nAnswer: 4075302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 2724436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4174 + -4174.2. What is the nearest to -1 in k, 2, -155, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 1. Let p be c(-1). Let j = -88 + 106. Let a be (-1 + 0)*j\/(-6) + 17. Solve -7*w + 3*w + a = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263166 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90117, -360429, -810941, -1441653, -2252565, -3243677?\nAnswer: -4414989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 22 - 14. Suppose -z*r - 3*h = -5*r, 4*h - 20 = 0. Suppose -3*m + 2*t = -0*t - 17, -4*m + 32 = -r*t. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78.999788 - 79. What is f rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -42*q**2 - 38*q**2 + 66*q**2. Let n(c) = -c + 1. Let k(r) = -2*r**2 - 10*r + 10. Let p(w) = -k(w) + 10*n(w). What is o(p(v))?\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1576960670 - 3803\nAnswer: -1576964473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -20. What is the second derivative of -8*x**4 - x**4 - 5*x + l*x + x wrt x?\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 984, 3941, 8868, 15759, 24608, 35409?\n\"Answer: -o**3 + 991*o**2 - 9*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.217306 millilitres?\nAnswer: 0.008217306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - (5 + 0) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h - 15. Let k(u) = 4*u + 9. Let g(p) = -5*k(p) - 3*q(p). Let a(i) = 5. What is a(x) - g(x)?\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(3)*-2 - (2 + sqrt(432))) + -1.\nAnswer: -14*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*(sqrt(2112)*2 + sqrt(2112) + sqrt(2112)) + sqrt(2112)))\/(-2*(sqrt(704) + (3*sqrt(704)*-4 - sqrt(704)))) + 1.\nAnswer: 1 + 15*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56516 and 1900052.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 581 - 2*r**2 - 581 + 12*r as i*r**2 + u + m*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmv when three letters picked without replacement from {m: 1, v: 3, t: 11}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2*r**3 - 3*f**2*r**2*u + 14*f*r**3*u**2 + 71*f*r**3 + 2*f*r**2 + r**2*u**2 + 1007*r**2 wrt r?\nAnswer: -6*f**2 + 84*f*u**2 + 426*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -744*b**2 + 652*b. Let i(y) = -741*y**2 + 652*y. Let k(s) = 7*i(s) - 6*q(s). What is the second derivative of k(x) wrt x?\nAnswer: -1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k - 29. Let f be d(-15). Let u = f + -59. Let l = 10 - 8. Solve -u*g - l = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29239641 to the power of 1\/2, to the nearest integer?\nAnswer: 5407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a + 29. Give r(-12).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5503*f*l**3 - 9*f*l*r**2 - 2*l**3*r**2 - 48*l**2*r**2 + 186*l*r**2 wrt f?\nAnswer: -5503*l**3 - 9*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 118 = q. Suppose 0 = 14*y - 81 - q. What is the smallest common multiple of y and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {v: 1, x: 4, n: 2, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i)**47)**(-1\/23)\/((i\/(i**(2\/3)\/i*i))\/i**(-1\/2)*i**6*i\/(i*i*i**(-1)*i)) assuming i is positive.\nAnswer: i**(-2051\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v + 2. Let w = 61 + -63. Let s(d) = -d**2 - 10*d - 3. Let y(b) = w*s(b) - 3*x(b). What is the second derivative of y(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877805246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from eiiaiaiaaeiia.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n - 47. Let l be t(5). Suppose l*m - 3*z = -m + 2094, 5*m - 2618 = 4*z. Is 58 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/714)\/(87\/(-1044))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-50)*(-32)\/(-56).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/(-168) + (-2630132)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 9*r**2 + 11*r**2 - 9*r**2 + 0*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14 - 10*(-35)\/(-98)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 1533 - 885 - 745 - 5*b**2.\nAnswer: -5*b**2 - 18*b - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259d2 (base 15) to base 3.\nAnswer: 20010002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0012 + 2.0062. Let k = -88 - -86. Let u = v + k. Round u to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -111*w**3 + 4*w**2 - 4*w + 3. What is s(1)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-2)\/(12\/502))\/((-11)\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/4 - 16407*a**3\/2 - 98469*a**2\/4 - 3*a + 32823 = 0.\nAnswer: -2, 1, 10941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*l - 2*l + 28 = 0, 4*l + 4 = 0. Let t be (z\/(-6) + 2)\/(-2). Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 33. Let q be s(5). Suppose q = x - 5*b, 125 = 5*x + b - 4*b. Solve -5*o + 8 = x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55420 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 18 = 5*p. Suppose p = 9*c - 3*c. Solve -c*s - s = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9465 and 615225?\nAnswer: 615225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4) - 9\/(-2). Let q be (-2 + 3)\/(2\/l). Let k = -1 + q. Which is the smallest value? (a) k (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -232, -321?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((153\/(-27))\/17)\/(34\/(-6))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/20 + r**4\/6 - r**3\/3 - 2*r + 4. Determine w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000311439 to seven decimal places.\nAnswer: -0.0000311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226865185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i*i**(4\/7)*(i\/i**(-1\/3))**28)**(1\/71) assuming i is positive.\nAnswer: i**(649\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**7\/7 + f**4\/4 - 6*f. What is the third derivative of u(q) wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6144 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 divided by -5.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (57 - 54)\/(408\/140)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -343 - -1425. Suppose 2*u = -424 + c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23456 or 20935?\nAnswer: 20935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 444.6 - 443.6. What is the nearest to w in -45\/13, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 26*s**2 - 43*s - 591. What is w(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029417 to the power of 1\/2, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74801 by -8.\nAnswer: -74801\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2810, 2710, 2600, 2474, 2326?\n\"Answer: -a**3 + a**2 - 96*a + 2906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/22 and -49\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:07 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 200, 198, 186, 164?\n\"Answer: -5*f**2 + 13*f + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 3*y + 1. Let w be q(-2). Let f = 4 - w. Solve p = -f + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42\/341 - 21451\/5797. Is g less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-4*-3)\/(3*(sqrt(12) - sqrt(300))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uunnuuu. What is prob of picking 1 n and 1 u?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from pqgiqbi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/10 - v**4\/4 + v**3\/6 - v**2\/2 - 3*v. Let i be k(2). Solve 4*h = -i*u + 25, h - 5*u + 25 = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58230 = 5*d + 5*u, 2*d - 10492 = 4*u + 12836. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -20\/9 (b) -2\/19 (c) -0.0054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 472, 938, 1402, 1864, 2324, 2782, 3238?\nAnswer: 3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2898 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -l - 2*y - 4, 19 = -2*l - 3*y. Let a be ((-48)\/15 + 4)\/((-1)\/l). Suppose -355 = a*h - 9*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11214 and 12460.\nAnswer: 112140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1452)\/(-2541) + 15\/(-14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1708 and 4777276?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153452101 - 2?\nAnswer: -153452103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -80*n**2 - 1. Let l(k) = -1077*k - 8*k**2 + 1077*k. Calculate l(p(y)).\nAnswer: -51200*y**4 - 1280*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:05 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4495 - 5327. Is j smaller than -833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let y be 6*((-30)\/(-9) - t). Suppose 3*o - 10 = y. Solve -3*m + 3 = -0, o*n + 13 = 5*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 1. Let v be (-3)\/2 - 0 - (31 + -33). Put p, 11, v in decreasing order.\nAnswer: 11, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2 + 0*j + 3\/4*j**4 - 4\/15*j**5 + 1\/9*j**3 + 4. Find s, given that k(s) = 0.\nAnswer: -3\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 120 = -2*y, 896*h = 3*y + 893*h - 93 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 918*m**2 - 2680*m - 221. Give k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.98 - -6.48. Let p = -3 - -3. Let s = p - 0. What is the third smallest value in o, -2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1230614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15096\/374 - 43)*-11.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 74*q**2. Let k(r) be the third derivative of -23*r**4\/24 - 3721*r**2. Determine f(k(b)).\nAnswer: 39146*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231.7 + -231.65. Put 1\/5, 3\/5, v in ascending order.\nAnswer: v, 1\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 291*t + 2541. Let c be y(-9). Solve -4*u - 24 = 5*o, 2*u - 8 = -c*o - 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 24278*v\/9 - 542828.\nAnswer: 2*(v - 12337)*(v + 198)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*b + 1, 0 = -0*b - b - 1. Let w be ((-18)\/(-4) - 2)*6. Solve -w = l*p + 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 213375\nAnswer: 88\/213375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 40*q**2 - 75*q + 40. Let s be l(-38). Solve 6*z - 3*z - 10 = 4*f, f + s*z = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -6, 1.8, 6\/31, -1, 370?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4*p + 4*f**4 + 2*f**3*p + 312337*f**3 + 15239757*f**2*p + p wrt f.\nAnswer: 72*f*p + 96*f + 12*p + 1874022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 1180*w + 448*w + 2*w**3 + 732*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. Let z be 7 - (-8 + u)\/(-1). Find y, given that -2\/3*y**z + 0 + 4\/3*y - 2\/3*y**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from vrvtvut.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400356 and 594?\nAnswer: 400356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 47*u**3 + 43*u**3 - 3*u - 3 + 57*u**3 - 149*u**3 + 11*u**2. Let y(w) = 2*w**3 - 12*w**2 + 4*w + 4. What is -4*l(a) - 3*y(a)?\nAnswer: 2*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -194.44?\nAnswer: -972.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 9 + 56 - 9 - 47*w**2 - 31 - 10. What is x(-1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j - 203*j + 7*j.\nAnswer: -170*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*d**2 - d.\nAnswer: d*(13*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*b + 102, 4*b - 21 = 2*s + 213. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 - -388. Let w be 2\/(-7) + o\/42. Suppose 4*y + y - i - 1118 = 0, w*y + 2*i - 886 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7126199, -14252397, -21378595, -28504793?\n\"Answer: -7126198*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -54.6\nAnswer: 49.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + 0)*3\/9. Suppose 20*f = 16*f + l + 10, 5*f = -3*l + 21. Let x(d) = -d - 2. Let s(n) = 2. Give f*s(j) + t*x(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/12 + l**3\/6 + 3*l**2\/2 + 2*l. Let k be u(0). Suppose 47 - 119 = -k*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 13*a**4\/4 - 6*a**2 - 8. Find the second derivative of u(r) wrt r.\nAnswer: 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4315524 (base 9) in base 16?\nAnswer: -234d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b3 - -1477?\nAnswer: 194a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -13*x - 11. Which is greater: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3389505 equal to -3389481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -15\/49 (b) -63\/17 (c) -3 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = 4. Suppose 4*v = 5*u - 800008, -m*u + v + 320006 = -2*v. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((360\/3)\/(-12))\/((2\/1)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 3*j - 18. Suppose -3*g - 865 + 227 = -4*k, j*k - 4*g - 475 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1648687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 59) + (48 - 150\/210). Suppose 7 + 1 = 4*w. What is o in 0 + 2\/7*o**3 + 0*o - 4\/7*o**w + 4\/7*o**4 - n*o**5 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19124179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d**2 + 389498*d**3 - 8*d**2 - 389496*d**3.\nAnswer: 2*d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 - 135 - 201*m**2 to the form i + a*m**2 + g*m and give a.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 14*c**2 + 90*c + 629. Determine g(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {h: 1, m: 1, x: 1, c: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - 4*u. Let x(s) = 4 + 2*s - 3*s - 2*s**2 + 3*s**2. Let l be x(0). Determine k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32759.020379 + 32759. Let s = g - -0.0195. Round s to 5 decimal places.\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 4*h**4 - h**4 + (-1 + 1 + 2*h**2)*(2*h**2 + h - h) + 31*h - 6*h**4 + 10*h**4 - 5*h**4 to p*h**2 + z*h**4 + c + g*h + b*h**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1315 = 48*g - 91 - 120 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 462.96 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 61*u. Let i(r) = -3*r. What is i(v(d))?\nAnswer: -183*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 57.06071 millimeters?\nAnswer: 0.05706071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times 3?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(7188\/4193*154\/6)\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 27?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17605888 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.184401ng to kilograms.\nAnswer: 0.000000000007184401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 7. Let o be p(8). Let g(w) be the second derivative of 4900001*w**5\/20 - w**4\/6 + w**3\/6 - w. Let q be g(o). Round q to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/1144 and 13\/6?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -320204532542 - -1?\nAnswer: -320204532541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1339*i + 17 = 1338*i, 23 = 5*j - i. Let 2\/13*r**j + 0*r**2 - 14\/13*r + 12\/13 = 0. Calculate r.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/21)*u)**27*u**13*(u*u\/(u\/(u\/(u\/(u\/u**(-2\/55)*u))*u))*u)\/u*u assuming u is positive.\nAnswer: u**(26744\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7099033\/228 + 31136. Let c = -15\/152 + p. Is -1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 108*o**2 - 2738*o - 2628.\nAnswer: 2*(o - 73)*(o + 1)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllllllllllqlll?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 43. Suppose -7*j = -45 - 46. Let a be p(j). Solve -6*t + a*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 8. Let c be b(-8). Let y(n) = -2*n**2 + 2*n + 33. Let k(t) = -t**2 + t + 16. Let z(l) = 13*k(l) - 6*y(l). Is z(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 - 8 = 0. Solve 0*n + 10 = -s*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1169 (base 10) in base 16?\nAnswer: -491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1768, -5 in descending order.\nAnswer: -2, -5, -1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w + 3869509 = 717880. List the prime factors of w.\nAnswer: 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - 89. Let i be g + 11 + -1 + -5. Solve -i = -3*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1*2\/10). Let s(i) = -i**2 - 12*i - 7. Let m be s(d). What is the second derivative of 20*p - 45*p + 13*p**3 + m*p wrt p?\nAnswer: 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*m**4*z + 2*m**4 + m*z**3 - 403*z**3 wrt m?\nAnswer: -20*m**3*z + 8*m**3 + z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrx when three letters picked without replacement from {c: 1, k: 2, z: 1, r: 8, x: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2398063658405.8 + 0.2.\nAnswer: 2398063658406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + -0.01. Let s = -1.6 + 2. Let y = o - s. Sort -2, 5, y.\nAnswer: -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3028352 and 60150.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132306 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 681.64236.\nAnswer: -685.64236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:14 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 29. Let h = f - -18. Suppose h - 31 = -4*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 4. Suppose 4*r + w - 18 = 4*w, -w = -2*r + j. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 - 12*q + 9. Let k(f) = f**2 - f. Let h(t) = -30*k(t) + 5*o(t). Factor h(l).\nAnswer: 5*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 5. Suppose -5 = -x + 3*w, -w - 11 + 36 = 5*x. Let y(i) = 4*i + 3. Let k(t) = x*y(t) + 3*m(t). Let o(l) = -2*l**2 - 75*l. Determine o(k(a)).\nAnswer: -2*a**2 + 75*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 38 - 5)*(9*z**3 - 80*z**5 + 13*z**3 - 22*z**3).\nAnswer: -1200*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.5492 to 1 dp.\nAnswer: 77.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -124.\nAnswer: -7\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide (-10306832)\/(-8536) - ((-12)\/(-22))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let q be 10\/(-8) + (-5)\/(-20). Let g(l) = 6*l + 10. Let c(r) = q*g(r) - 5*y(r). What is the remainder when c(-9) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -94, -96, -98, -100, -102?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6435680 by -1168.\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2 (c) 3 (d) -0.112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384035 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*2)\/(2*sqrt(45)) - (6*(sqrt(3) + 0) + (sqrt(12)\/(sqrt(4) + sqrt(16)\/sqrt(4)))**2 + sqrt(3)).\nAnswer: -16*sqrt(3)\/3 - 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*s + 54 = 2*d, -3*d = -2*s - 44. Suppose 5*l = 3*l + d. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/4 of a decade?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 31, 29, 27, 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - 0.04. Let d = p + -0.2. Sort d, 0.4, 0.1 in descending order.\nAnswer: 0.4, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. What is the third derivative of 2*h - 4*h**5 + 11*h**2 + 2*h - x*h wrt h?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + ((sqrt(17)*-1)**2 - sqrt(17)).\nAnswer: -sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2901208471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 17*l**2 - 79*l - 594. Give x(-5).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14400 or 71997\/5?\nAnswer: 71997\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2247 is divided by 829.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1)\/1 + 4. Suppose 875*u + 464 = 876*u. Let o = -467 + u. Put 0, o, k, -1 in descending order.\nAnswer: k, 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 6*g - 4*g + (-2 + 8 - 5)*(108 + 15*g - 108 + (5 + 0 - 3)*(-3*g - 2*g + 3*g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 539*v + 3266. What is d(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 9\/15 - 0. Let l = 0.1 - -0.5. Let r = -1.1 + l. Sort -0.4, r, i in ascending order.\nAnswer: r, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -42. Let q be -41 - ((-18)\/4)\/((-54)\/(-108)). Is d smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**5\/7 + 100230*z**4\/7 - 840667668*z**3\/7 + 58342266120*z**2\/7 + 120048004800*z\/7 = 0.\nAnswer: -2, 0, 72, 16670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. Let n = q + 3.1. What is the nearest to n in -2, -2\/21, -0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614961.\nAnswer: 3, 68329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:19 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -36*z. Let n(s) = -12*s. Let j(o) = -3*g(o) + 8*n(o). Let w(p) = -5*p + 6*p + 6*p + 2*p**2 - 7*p. Determine j(w(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2\/7 + 208*i\/7 - 2704\/7 = 0 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -p - p = -d, 2*p - 14 = -4*b. Suppose 5*h + 5*y - 35 = 10, -3*h + b*y - 3 = 0. What are 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 fourth smallest value in 49, -1.1, -3, 0?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 t, and 1 k when four letters picked without replacement from kkckwckkctwkt?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -727*2447\nAnswer: -1778969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10101000101?\nAnswer: 10101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 6*h**2 + 0*h**2 + (0*h - 3*h + h)*(-5*h + 9*h + 3*h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-39)\/(-6)*-8. Let v = r + 94. What is the greatest common divisor of v and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*r**2 + 24254878*m**3*r + 8732*m**2 + m*r**2 - 31*m*r - r + 2 wrt m?\nAnswer: 6*r**2 + 145529268*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/((-11)\/(-22)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*b - 2*c, 0 = 2*c - 19798 + 19830 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979*y + 161 = 956*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -290, -230, -154, -56, 70, 230?\n\"Answer: t**3 + 2*t**2 + 47*t - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 77322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -205, -203, -199, -193, -185, -175?\n\"Answer: x**2 - x - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6669983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 + 112*q - 2975. Give n(29).\nAnswer: -3091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51, -16\/19, 1?\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -o - 8, 3 = -j + 4*o. Suppose a - 44 = 1. Suppose j*f - 385 = a. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, 70, -80, -2, 4 in descending order.\nAnswer: 70, 4, 3, -2, -3, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x**2 + 0 - 9\/2*x.\nAnswer: -x*(x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15800070 divided by -1131\nAnswer: 13970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*w - 4*l, -l - 2*l = -5*w + 14. Let d be ((1 - 6\/4) + w)*0. What is the units digit of 168 + -3 + 2 + d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d + 111*d + 42 = 55*d + 14*o, -6*o = d - 5 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-448) + 306\/140)*20\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 26)*(-8*z + 8*z - 7*z**4).\nAnswer: 168*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0 + 0*x + 1\/30*x**5 - 4*x**2 + 0*x**4 + 0*x**3. Let q(u) = -u. What is f(q(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:00 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 10*b**2 + b - 7. Let j be ((-180)\/(-9))\/(2\/1). Let o be y(j). Suppose -o = k - 57. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -16*t - 3. Suppose -68*i + 85 + 4919 = -2952. Calculate the remainder when i is divided by x(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, -176592, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**27*m*m)\/m)**(-4\/5))**(-17\/6))**(-1\/14) assuming m is positive.\nAnswer: m**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1126)\/2584 + (-10472)\/(-712096)?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 6*f - 4*o = 10, -1 = -f + o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 147057800 to the nearest one hundred thousand.\nAnswer: 147100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kga when three letters picked without replacement from fkknffngkxkaafk.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = 47. What are the prime factors of 4 - 84\/u*24\/9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 11 - (2 - (-3 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (34 - (-77 - -95)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695572948 rounded to the nearest 100000?\nAnswer: 2695600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -14, 0.04, -0.071, 0.8?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*1 - (sqrt(117) + -1)) + (0 + sqrt(637))*2)**2*5.\nAnswer: 150*sqrt(13) + 14630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc1 + -15?\nAnswer: -bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-1 - (-2)\/(-2)). Suppose 5*n + 148 - 43 = q. Let p = 50 + n. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.337 + -1.2363. Let f = t + 451.8993. Let r = -451.99999709 + f. What is r rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:04 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 25*p - 303. Let b be s(34). Sort 4, -4, b, 149 in descending order.\nAnswer: 149, 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/29304 and 31\/3663.\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4 + 150\/20. Let m(q) = -q**2 + 7*q - 2. What is m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 9*g + 23. Let j be s(5). Calculate the greatest common factor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 + -45. Suppose 272 = 3*w + 5*p, -3*p - v - 208 = -5*w. Find the second derivative of 5*n**5 + 83*n + w*n - 184*n wrt n.\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 14036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90634241?\nAnswer: 90634241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668659.\nAnswer: 211, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6009 and 0.997.\nAnswer: 5990.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 16\/327 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:12 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 - 26*m + 25 = 0.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12445588787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 + -100. Sort -1, f, 7 in increasing order.\nAnswer: -1, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 12*f**2 + 22*f + 18. What is n(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 74 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 382 = -0*w - 385, 2*w + 43 = -b for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(95)*-6)\/(((sqrt(405) - sqrt(405)*-3) + sqrt(5))*2).\nAnswer: -12*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5779 is divided by 151?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*p - 849*p - 443*p = -661 + 2204 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18\/7 (b) -5\/2 (c) -0.5 (d) -0.4 (e) -9\/5 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.775 * -758.\nAnswer: -587.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8022082.899805 + 8022103. Let v = z - 20.1. What is v rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -8*j - 701. Let n = -75 - j. Which is the nearest to -0.3? (a) 0.2 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.9 + 34.6. What is j rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 18*g - 54, -104*g = -4*d - 103*g + 28 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8904, 8121, 7336, 6549, 5760, 4969?\n\"Answer: -d**2 - 780*d + 9685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15)*8\/(-4))\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.582 - 0.112. Let p = 30999 + -30996.818. Let b = p - s. What is b rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 3*m**2 + 1452*m + 1452.\nAnswer: -3*(m - 22)*(m + 1)*(m + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 23*c**2 + 4*c - 28. Let n be f(-3). Which is smaller: 160 or n?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdzrvrvrrbubdddvvrru. Give prob of sequence ru.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*m + 6 + 4, 5*t = -5*m - 20. Let w(n) = -2*n - 11. Give w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25836403, -51672810, -77509217, -103345624?\n\"Answer: -25836407*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 20. Let q = -11 - c. Calculate the lowest common multiple of 1 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 124*c - 111. Let z(l) = 8*l - 5. Let s(v) = 2*d(v) - 46*z(v). Let w(a) = -2*a**2. What is s(w(x))?\nAnswer: 240*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (23 + -8 - 46) + 50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7525, -30115, -67775, -120511, -188329, -271235, -369235, -482335?\nAnswer: -610541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 22. Let y be f(7). What is the second smallest value in -5, -3\/2, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, 3, 1, -16, 0 in descending order.\nAnswer: 225, 3, 1, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 5*o - 4150683*o**3 + 4150469*o**3.\nAnswer: -214*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/19, 464570, -2\/13?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 39054 - 39054.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*v - 23*v. Suppose -2 = -2*x + 4. Put v, x, -5 in decreasing order.\nAnswer: x, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 20*s**2 + 2*s - 20 = 0. Calculate s.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 3. Suppose -2*w - 29 = 3*d, -4*w + 0*d + d - 37 = 0. Let f be c(w). What is the greatest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19871268 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**2 - 8*h + 20. Let n(a) = 3*a**2 + 2*a - 5. Let p(m) = -9*n(m) - 2*x(m). Let f(l) = 2 + 5*l - 8 + 6*l**2 - 2*l + 0. What is 3*f(o) + 4*p(o)?\nAnswer: -2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 305975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1160 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5898063?\nAnswer: 3, 83, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10561, 21142, 31727, 42316, 52909, 63506, 74107?\n\"Answer: 2*a**2 + 10575*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013 + -23?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:59 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 16*z**2 - 13*z - 92. What is c(18)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5499, -10816, -16147, -21504, -26899, -32344, -37851, -43432?\nAnswer: -49099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3696038?\nAnswer: 2, 17, 108707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-12)\/4) + 2 - -2. Which is smaller: -15 or c?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1119)\/(-2611)*112\/(-132).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -30. Let y be x\/(-4) - 6\/8. Suppose 2*b = -2*s + 3*b + 46, -y*b = -5*s + 109. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648.6217 micrometers to meters.\nAnswer: 0.0006486217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 437936204 and -4.\nAnswer: 437936200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*g + 1211 = -1604, -g = -2*m + 1885. Suppose 5*p + m = 5*z, 303 = -5*z - 5*p + 1268. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1566\/2340)\/((-3)\/4). Let h = i - -4827\/2860. Calculate the common denominator of h and 87\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94661375 + -5?\nAnswer: -94661380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1236683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -0.3, 19, 1\/2 in descending order.\nAnswer: 19, 8, 1\/2, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - n**2 - 3*n**2 + (7 - 7 + 8*n + (-n - 2 + 2)*(0 - 5 + 4) + 2*n + 2*n - 3*n)*(14*n + 24*n + 33*n) + (4*n - 6*n + 0*n)*(-n + 3*n + 0*n).\nAnswer: 704*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, 17, 58, 99, 140?\n\"Answer: 41*m - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57718706 rounded to the nearest one hundred thousand?\nAnswer: -57700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2245 + 2122 = 41*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 19. Let s be w(-17). Solve 0 = g - x - 2, -2*x = -g - 4*x + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 12:13 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 22, 36, 54, 76, 102?\n\"Answer: 2*q**2 + 4*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 15, 865 in decreasing order.\nAnswer: 865, 15, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 180 = 5*f + 9*s, 4*f = 3*s + 144. Calculate the remainder when 122 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 144 = -2*v. Suppose -4*d - 8 = v. What is the common denominator of (-114)\/8*d\/84 and -31\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, h: 8, t: 1, e: 5}. What is prob of sequence ehht?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 2, -4, -3.073?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 - 4*s**2 - 7*s - 3. Let c be ((-3 - -2)\/6)\/((-8)\/(-16))*3. Give r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = 13*t - 17*t, -2*a + 2*t - 2 = 0. Let r be -1 - (1 + a)*9. Which is smaller: r or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (3 - 8)) + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*l - 466 = -1554 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*i. Calculate the least common multiple of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*-6 - (sqrt(78) + sqrt(78)*1)\/sqrt(6).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/2 + 32\/(-64). Let z(u) = 11*u + 9. Let a be z(o). What is the highest common factor of a and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6761 + -0.4761. What is the second smallest value in -0.07, -6, x, -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5110)\/56*(-80)\/50 is divided by 134?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8257.\nAnswer: 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10263 - 8437 + 5350 = -89*g. Calculate the least common multiple of 210 and g.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3334864 and 45\/256528.\nAnswer: 3334864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -20*r + 39. Let d(g) = 7*g - 13. Let i(m) = -17*d(m) - 6*j(m). Let q = -28 - -44. Let y be i(q). Solve -o + y = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1777 - 180 + 1957 - 4*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -61, -93?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21, 89, 1\/5, -4, -0.11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (106 - -2) - (1471 - 1433)\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.38 - -3.38. What is the second biggest value in -3, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723981769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcrrrccrrrcrrrrrrr. Give prob of picking 3 c and 1 r.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u**2 + u**2)*(2*u + 0*u + 0*u)*(4*u - 12*u - 6*u).\nAnswer: 84*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 883960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let t(b) = -4269245*b. Give f(t(y)).\nAnswer: 8538490*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) 0 (b) -0.3 (c) -7 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2399.201 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/35 + (-5)\/(75\/(-888)). Suppose 0 = -663*v + 667*v - a. Calculate the greatest common divisor of 480 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19706 is divided by 704.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -2, -2\/9, 0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216678179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18745187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17762 or 17761?\nAnswer: 17762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 75.08607 days?\nAnswer: 6487436448000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.5, -0.3, -0.1, -395 in increasing order.\nAnswer: -395, -0.5, -0.3, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 28 = -14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3904203167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2 + -2 + 2 + (5 + sqrt(6)\/sqrt(2) - sqrt(3)) + ((sqrt(216)\/sqrt(8))\/sqrt(9) - sqrt(3)))**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 6, -0.1, -1\/3, 2 in increasing order.\nAnswer: -1\/3, -0.1, 2\/9, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -103*p**5\/30 + 7*p**4\/24 + p**2 - 4. Find the second derivative of f(q) wrt q.\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 1. Let s be u(-1). Let j = s + 6. Solve j*w = 3*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 220 - 220 + 2*v in the form k*v**2 + d + r*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 + 201. Sort 0, -1, 1, w in decreasing order.\nAnswer: 1, 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 207, 2 in descending order.\nAnswer: 207, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150100?\nAnswer: 2, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/(6\/15). Let a(d) = 43*d**3 - d + 1. What are the prime factors of a(r)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148534233307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5380 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*a**2 + 941*a**2 - 318*a**2 - 317*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 30 = 42, 4*v + 3 = 5*b. Solve 2*i = b*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -964 and -9629\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, w: 14}. What is prob of picking 3 u?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71413963 to the nearest integer?\nAnswer: 8451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3752 + -37807. Let h be (-6)\/(-8)*j\/42. Let u = 609 + h. Calculate the common denominator of 69\/4 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 3*p + 5. Let b(c) = -1. What is -2*b(k) - s(k)?\nAnswer: 2*k**2 - 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(154\/165 - ((-126)\/(-35))\/6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b + 0*b**4 - 76*b**2 - 29\/60*b**6 + 0*b**5 + 0 + 53\/6*b**3. Differentiate s(k) wrt k.\nAnswer: -174*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 864451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28917*y = -29026*y - 2180 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 9) to base 5\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/12*510\/1156*(-172)\/215?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36884 and 2.\nAnswer: -36882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 250958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 377788 = 119*z - 510837. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49595.03 litres in millilitres?\nAnswer: 49595030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -23.5?\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2)*4\/((-32)\/(-4))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 2*i + 1. Let d(h) = h**2 + h - 2. Let v(t) = 5*d(t) + 4*n(t). Let w = -7 - -12. What is the lowest common multiple of 10 and v(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138175 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*c - 88*c - 79*c)*(-c + 0*c + 2*c).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38311800 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: Let l(q) = q**3 + 7*q**2 - 2*q + 6. Let i be l(-8). Let j be 132\/i - (-6)\/2. Which is the closest to 2? (a) j (b) -0.3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 - -0.9. Let o = 5.3 - d. What is the biggest value in 0.5, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Suppose -j + 1335 = a*f + 3*j, f - 434 = -5*j. Let u = 15265\/34 - f. Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-166.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)\/(141\/(-48) - -4). Is 2 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**5\/3 - 260*s**2. Let w(i) = -2*i - 4*i + 4*i. Determine w(y(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20202100100111 (base 3) to base 6.\nAnswer: -204532151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 3, 1.366, 7\/43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.35 - -0.35. Let q = -21 - v. Let i = q - -3.0000032. Round i to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82786962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 300740381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 127. Let q(h) = 9*h - 359. Let a(k) = -17*i(k) + 6*q(k). Let c = 11 - 4. Let d(u) = -6*u - 9. Calculate c*a(j) + 4*d(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -557*r**4 + 979*r**2\/2 + 2762. Find the second derivative of j(n) wrt n.\nAnswer: -13368*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 1005.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aasasassarsss. Give prob of sequence raa.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 6*u = 16*h + 4, 12*h + 3*u = 16*h - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-13)\/(130\/(-384)))\/(9\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((0 - (-6 + 3)) + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48664 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2438, 18648, 61688, 144668, 280698, 482888, 764348, 1138188?\n\"Answer: 2185*r**3 + 305*r**2 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 14, -5 in increasing order.\nAnswer: -5, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(100)*2)\/sqrt(10))\/(-2*-2*sqrt(5)).\nAnswer: sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i**4\/7 + 1016256*i**3\/7 + 180364350*i**2\/7 + 8031699624*i\/7 + 890185743\/7 = 0. Calculate i.\nAnswer: -37461, -89, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13*(3 - 2)*-1. Let w = t + 18. Solve 2*o - w*i = 16, -4*o = -0*i + 5*i - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1105 + 125352?\nAnswer: 126460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -954*t**2 - 1280*t**2 + 977*t**2.\nAnswer: -1257*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 < -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1210121 (base 3) to base 9\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 - -160. Let q(t) = -t**2 + 5*t - 4. What is q(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 282121.7us?\nAnswer: 282121700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, s: 9, g: 6, e: 1}. What is prob of sequence ggs?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6078, -12912, -19748, -26586, -33426?\nAnswer: -40268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**2\/3 + 674*j\/3 - 880 = 0.\nAnswer: -88, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218473 or -218474?\nAnswer: -218474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/13*(-377)\/(-116)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/605*66*3\/30?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(4*(sqrt(25)*-1)\/sqrt(5) + -5*-3*(sqrt(5) + 1))**2.\nAnswer: 1980*sqrt(5) + 4980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53517592 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 525 - 456. Suppose 2*n + 5*w - 57 = 0, 2*w + i = -4*n + 207. Calculate the least common multiple of n and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 5*y - 5*t, 4*y - t - 41 = 4*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.99 - 67.99. What is the third smallest value in m, -0.5, 0.4, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4081371 by -3.\nAnswer: 1360457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/3 + (9 - 3). Suppose x*h = -4*s + 2*h - 7, 0 = -3*s - h + 1. Suppose 2*o + o = 9. Solve 2*c + s = o*u - 15, 5*c - 15 = -4*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4127533 micrograms in tonnes?\nAnswer: 0.0000000000004127533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 divided by -766?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -173143092 take away 2?\nAnswer: -173143094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 80?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*m + 199*m = 70. Let k be 125\/5 + (-3 - 2). Calculate the highest common factor of k and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7371, -14736, -22101?\nAnswer: -29466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-6*5\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*l - 117*l - 4032025 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4202*s**2\/3 - 25180*s\/9 - 64\/9 = 0. Calculate s.\nAnswer: -16\/6303, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 12798888*p + 10238220877284.\nAnswer: 4*(p - 1599861)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 36*i + 13*i - 45*i - 1.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 - 2*z**2 + 4*z**2. Let j(a) = a - 9. Let x(c) = 2. Let o = 6 - 10. Let t(h) = o*j(h) - 18*x(h). Determine t(p(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/34)\/(11\/(-2)). Which is the biggest value? (a) j (b) 5\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2376136kg in grams?\nAnswer: 237.6136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20332 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 57 = k + 4*s, -5*s + 155 = 5*k. Solve 47*a = 22*a + k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + 38. Let j = l - 87. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1275882 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*c**4 - 64*c**4 - 5 - c**2 + 113*c**4 in the form q*c**4 + h*c**2 + r + v*c + j*c**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3*b = 2*k + 127, 97 = 3*k + 4*b. What is the remainder when 178 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10434 + 8505. Does -1929 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - l - 6. Let t(g) = -g - 1. Let r = 14 - 20. Let w be t(r). Suppose -w*p = -2*p. Calculate i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027 is divided by 69?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -7 - -1 - 1) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13560857.\nAnswer: 31, 151, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a + 11*a + 16*a + 1205 + 18*a.\nAnswer: 8*a + 1205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let w(r) be the third derivative of 0 + 1\/24*r**4 - 3*r**2 + 0*r**3 + 0*r. What is w(u(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 5*j**2\/2 - 5. Let m(x) = 3*x - 1. Let q(z) = -440*z + 165. Let a(p) = -165*m(p) - q(p). Determine -6*a(i) - 65*k(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86082, 170970, 255858, 340746?\nAnswer: 425634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5.8 (b) -10 (c) -1\/6 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -942c58 (base 14) in base 12?\nAnswer: -1812812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 5*v + 4. Let i be k(-4). Solve n - 2 - 1 = i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose 10 + 5 = -c*a. Let h(r) = -r**3 - 4*r**2 + 7*r + 3. What is h(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 16*j + 35. Let h be -9 - (-1)\/((-1)\/(-5) + 0). Let i be b(h). Solve 4*m + 4*r + 28 = 0, -i*m = 2*m - 2*r + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 10.7745?\nAnswer: -11.2745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1199 - -1271. What is the greatest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*d**2*l**3*m + 45*d**2*l**2*m**3 + d*l**3*m**2 + l**3*m**2 - 130*l**2*m**3 wrt d.\nAnswer: -34*l**3*m + 90*l**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -46, -49, -20, 53, 182, 379, 656?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -25*g**2. Let y(x) be the first derivative of 0*x + 35 + 3\/2*x**2. Calculate z(y(w)).\nAnswer: -225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by -6\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**6\/6 + 2*g**5\/5 - g**4\/4 + 17. Determine v so that i(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 + 216*n.\nAnswer: -2*n*(n - 1188)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3979638 and 21.\nAnswer: 22.3979638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*v**3 + 0 - 1\/4*v**2 + 1\/4*v**4 - 9\/4*v.\nAnswer: v*(v - 1)*(v + 1)*(v + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507e3 (base 15) in base 11?\nAnswer: 16457a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60368292 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 56?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(9\/(-12)). Let g be l - (-4 - (-248)\/42). Is 2\/9 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4 + 34*f*g - 8*g - 39 with respect to f.\nAnswer: -8*f**3 + 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*t = 3*t - 21, 0 = q - t + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = -5*p + 30, p - 2*j = 6. Let q(k) = k**3 - 2*k**2 - 6*k + 2. Suppose 2*o - 7 - 1 = 0. What is the least common multiple of q(o) and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4*p - 15. Let m = p + 5. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h**6\/h)*h)*(h*h\/((h*h**8\/h)\/h))\/h*(h**(-2)*h)**40 assuming h is positive.\nAnswer: h**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -22. Let m = 1.5 + c. What is m rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 2*q**2 - 2*q - 1. Let u be a(3). Suppose -u*v - 3*v - 2*w + 274 = 0, 0 = v + 4*w - 44. Let s = v + -56. Let b(r) = -r + 15. Calculate b(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 274 + -113. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 31*w**2 + 43*w - 9. Calculate m(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 5*o**3\/3 - 3*o**2 + 3*o + 1. Let x be g(-3). What is the highest common divisor of 154 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7))**(8\/11)\/(v**(-7)\/v*v\/(v*v*v*v**(2\/9))))\/((v**(2\/9))**(-2\/7)*(v**(-1\/7)\/v)\/v**4) assuming v is positive.\nAnswer: v**(172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(-5*sqrt(252) + sqrt(7)))**2.\nAnswer: 5\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -2, -5 in increasing order.\nAnswer: -7, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1454360249 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 3. Let o be z(-2). Let i(n) be the first derivative of 7*n**3\/3 + n**2\/2 + 2. What is i(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + a - 88 + 90, -2*z = -a - 5. Sort -47, -2, z.\nAnswer: -47, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 82.1. Put 1, -3, v, -5 in increasing order.\nAnswer: -5, -3, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14837 is divided by 539?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 4*k + 6. Let r be x(-4). Let a be (-4)\/r*(-75)\/(-40). What is the biggest value in -0.4, a, -1\/10, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 256 + 617)*(s - 2*s + 3*s) - s - s + 3*s - 2*s + s + 2*s in the form l + u*s and give u.\nAnswer: 1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**3\/3 - 5*t**2\/2 - 9*t - 1. Let w be k(7). Suppose 4 = 3*n - n. Put w, -1, n in decreasing order.\nAnswer: w, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-15))\/(1\/(-5)). Let b be ((-6)\/15)\/(l\/(-10)). What is the tens digit of ((-14)\/(-3))\/(b\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101893521*i + 18 - 28 + 101893527*i + 10.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n + 5040 = 20*n. What is n rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.5, 4, 0.1, 1466, -4, 74\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2403320\/17 or 141371?\nAnswer: 141371","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express 32391*d**3 + 58*d**2 + d - 32*d**4 - 32391*d**3 in the form l*d**2 + t*d**3 + a + c*d + y*d**4 and give l.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 4, d: 2, t: 2, h: 3, a: 1}. What is prob of picking 1 t, 1 d, and 1 c?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8608 - -8800. Solve 56 = -17*l + i for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1322223332 (base 4) to base 8.\nAnswer: -1725376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2752 - -2922. Sort j, 0.4, -1 in decreasing order.\nAnswer: j, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9466?\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**6\/3 + 104*w**5\/5 + 49*w**4 + 32*w**3 + 240. Factor r(f).\nAnswer: 4*f**2*(f + 1)**2*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 2:07 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 3, w: 5, s: 1, m: 4, h: 4}. Give prob of picking 1 e, 1 h, and 1 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l - 7. Let v(t) = 1132 - 1132 + 5*t. What is x(v(b))?\nAnswer: 65*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -61, -75, -89?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -38*w**2 + 29*w + 3. Let u(g) = -g**3 - 27*g**2 + 2*g. Let c(i) = -r(i) + u(i). What is c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 177*n + 708. Calculate l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -36, -47?\n\"Answer: -11*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwfwf. Give prob of picking 3 f and 1 w.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25497678 to the power of 1\/2, to the nearest integer?\nAnswer: 5050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/15)\/((-4)\/10). Let z be (-4)\/(-12)*14 - 4. Suppose 4*y = 4*d, -d + 15 = 5*y + 3. What is the smallest value in n, d, z, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)*(-122)\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6940 divided by 347.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53580\/((-180)\/(-15)) - 1. What is the highest common factor of x and 288?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 3)*(-2*s + 1 - 1) - 297*s + 7 - 7 - 496*s in the form i*s + w and give i.\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3 - 200*t**2 + 1228 with respect to t.\nAnswer: -3*t**2 - 400*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -9 + (-2 - -1). Let r = u - -6. Differentiate -3 - r*d**3 - d**3 - d**3 + d**3 with respect to d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10716481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.1 (b) 0.3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1872) + -2)**2 + 0 + -4*(-3*sqrt(1872) + 0)**2 + 3)*1.\nAnswer: -65508 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31058, 123107, 276144, 490169?\nAnswer: 765182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 3. Let o be h(4). Let r = -29 + o. What is the remainder when (r\/3)\/(3\/9) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**3 - 3*y**2 + 4*y + 31. Let z(a) = 5*a**3 + 3*a**2 - 3*a - 29. Determine 2*g(h) + 3*z(h).\nAnswer: -h**3 + 3*h**2 - h - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 780571775 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 269265 and 252552?\nAnswer: 36620040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18915.\nAnswer: 3, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftffsesfsft. Give prob of picking 1 e and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/26 and -51\/335494.\nAnswer: 4361422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93927 and 393.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/23))\/((d\/(d*d\/(d\/d**(-8))))\/d))\/(d**(-1\/12)\/d**(5\/2)) assuming d is positive.\nAnswer: d**(-919\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(2*r**2 + 2*r**2 - 5*r**2) - 2*r**2 + 1 - 1 - 2*r**2 - 3*r**2 + 7*r**2)*(706*r**2 - 175551*r + 175551*r).\nAnswer: -706*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180 = -2*v + 1964. Suppose -2*l + v = 4*z, -5*l - 1153 = z - 4*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 595 = 3*o, o + 2*m = 4*m + 200. What is the remainder when (8\/10)\/(4\/o) is divided by (0 - -1) + 14 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 129*i**2 - 1559*i**2 - 160*i**2 - 2224*i**2 + i.\nAnswer: -3814*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3755 - 6812 - 2*p**2 + 3057.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2180?\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-280)\/50 - (-2)\/(-5). Let g = 72 - w. What is the remainder when 307 is divided by g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0058634 rounded to five decimal places?\nAnswer: -0.00586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 289888\nAnswer: -3\/289888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4327868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 7. Let i(a) = -l*a + 5*a - 2*a - 7. Give i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/198 - (-10880)\/(-374)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*i + 61. Let l be (-12606)\/i - 2\/(-7). What is l rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102330 and 9475?\nAnswer: 511650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -557, -1316, -2653, -4760?\nAnswer: -7829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010901036 to 6 decimal places.\nAnswer: 0.010901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22.37976 times -0.2\nAnswer: 4.475952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450036227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 39. Suppose j = r - 3. Sort -0.3, 0.1, 1, j in decreasing order.\nAnswer: 1, 0.1, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/18*3)\/(-1). Let v(i) = 1096*i**2 - i + 1. What is the tens digit of v(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-7))\/(1\/1). Let d = -11 - -22. Let u = d - 13. What is the closest to -2\/7 in 0, u, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3232, -3233, -3236, -3241, -3248, -3257?\n\"Answer: -p**2 + 2*p - 3233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/15*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1829, 7389, 16867, 30449, 48321, 70669?\n\"Answer: 31*f**3 + 1773*f**2 + 24*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-8))\/(135\/40). Suppose -5*k - 70 = -5*d - 0*k, 3*k + 22 = d. Suppose -3*y - 3 = -2*h + d, 0 = 2*y - 4*h + 22. Is y greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6001*f + 6728*f - 16463*f in the form q + c*f and give c.\nAnswer: -3734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6951?\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 46, -83.27, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-12)\/48 + 1010\/(-360))*2. Let t = -0.6 - -37.6. Which is the closest to 0.1? (a) -1 (b) t (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j**2 + 30. Let m(z) = -7*z**2 + 15. Let f(u) = -4*k(u) + 7*m(u). Let t(c) be the first derivative of f(c). Let o(q) = -q. Determine o(t(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135939110.\nAnswer: 2, 3, 5, 5897, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.21 - 1. Let g = 10.79 + s. Let i = 10.9936 - g. Round i to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 295 or 292?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 27 - 27*p - 10*p to the form j + d*p and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 565.4 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {h: 7, m: 3, d: 1, x: 5, y: 2, r: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 12:45 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Suppose 3*s + 6 = -3. Let b = 0 - s. Let w(n) = n**2 + b*n**2 - 6*n**2. Calculate w(v(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506465166?\nAnswer: 2, 3, 31, 2722931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -14835 (b) -4 (c) 3.4 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-45*18\/(-90)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**5\/40 + 46*z**3\/3 - 4. Let d(x) be the third derivative of c(x). Let h(q) = 4*q - 1. Calculate 3*d(f) - 2*h(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 734*k**2 + 5824*k - 11616 = 0. What is k?\nAnswer: 4, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 - x**4\/12 + x**2\/2 - 9*x. Let p = 18396 - 18397. Let g(s) = -4*s**3 + 4*s**2 - 9. Determine p*g(h) - 2*f(h).\nAnswer: 2*h**3 - 2*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/5)*y*(y**(-3\/2)*y*y)\/y)**(-5\/6)*((y\/y**(3\/8))\/(y\/(y\/y**(4\/3))))\/(y**(-6)\/(((y\/y**5*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 295 = 3*b + 3*i, -325 = 5*b - 5*i. Find the common denominator of 31\/14 and 2\/7 - 2605\/b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2858491715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1338?\nAnswer: -5\/1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -17\/2*o**2 - 12*o - 2*o**3 + 0. List the prime factors of t(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*n + 56 = -14*t + 86*n, 4 = -t - 3*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*w - 4*f - 6, 0 = -2*w - 4*f + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 84*y**2 - 512*y + 960.\nAnswer: -4*(y - 12)*(y - 5)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**4 + 1882232*t - 4256286 wrt t.\nAnswer: -12*t**3 + 1882232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*o + 1068*o - 264*o - 266*o - 272*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, g: 4, f: 13}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllylllllllllllllll. Give prob of picking 2 l.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 21*f**3\/5 + 14268*f**2\/5 - 171549*f = 0?\nAnswer: -735, 0, 389\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.823 - 50.177. Which is the closest to -4? (a) 1\/8 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 2)*(-i + 7*i - 2*i) + i - 6*i + 3*i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652417?\nAnswer: 3, 191, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 0 + (-5 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-12)*(-24)\/(-120)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - u - u, 3*i - 5*u = 0. Suppose 4*q + p = 4855, 4*q + i*p = -3*p + 4861. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -878 - -869 - (-2 + 7 + 2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (57\/5)\/((-213)\/(-1371365)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i. Let h(x) be the second derivative of 0 + 0*x**2 - 1\/6*x**3 + 9*x. Give h(m(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/5 + 24*s**2\/5 + 32*s\/5 + 12\/5.\nAnswer: -4*(s - 3)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 1 in descending order.\nAnswer: 16, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**4 + d**2 - d - 1. Let q(z) = 10*z**5 - 6*z**4 - 6*z**2 + 2*z + 6. Let s(v) = q(v) + 6*y(v). What is the second derivative of s(h) wrt h?\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310*j**4 + 36*j**3 - 65771*j**2 wrt j?\nAnswer: -7440*j + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*z + 13*z + 68 + 163. Solve -15*j = -16*j - z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35446060 (base 7) in base 6?\nAnswer: 151130514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 41*p**2 + 142*p**2 - 1 + 64*p**2. Let u be a(1). Suppose -3*n + 2*v = -u, -2*n + v + 165 = -0*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 7) to base 4\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 27. Let b = 21 - k. What is the second derivative of 11*q + 3*q**3 - b*q + 20*q wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.3, 0.2, -6\/7, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354665.\nAnswer: 3, 5, 13, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -257 (b) -7\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 117636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 + 306?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147874*d**3 - 8514*d**2 - 95*d?\nAnswer: 887244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1\/6 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t + 6*t**2 - t**3 - 3*t**2 - t**2.\nAnswer: -t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from oooooioiiioooioooo?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose 3*x = -2*z + 88, x - z = g*x - 83. Suppose x = l - 22. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990655147?\nAnswer: 13, 103, 251, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121201120020102 + 2?\nAnswer: 121201120020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 95470362?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055 is divided by 15 + 627\/18 - (-2)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 7, i: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/14*35*33\/(-825).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559162.\nAnswer: 2, 79, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooooooooooqq. What is prob of picking 2 q?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5978867 is divided by 8937.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 7. Let b = m - -23. Suppose b = 4*q - 3*q. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 5. Calculate the highest common factor of 14 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 6:59 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9171)\/(-15) + (-792)\/(-1320) is divided by 204.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.9 - 174.9. Let l = -151.834 - s. Round l to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 257796 and 116963?\nAnswer: 12632004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329 - -487. List the prime factors of x.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -24*k + 13. Let r(s) = -27*s + 13. Let u(t) = -7*j(t) + 6*r(t). Let o(i) = -14*i + 7 + 11*i + 0. Calculate -11*o(q) - 6*u(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 30*t + 265. What is v(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30177603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1182361 - 2291894 + 1109533 + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 2*u**2 - u - 1. Let q(m) = -m - 4. Let c be q(-6). Let d be j(c). What is the third biggest value in 5, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**3\/6 + 5*r**2 - r. Let b be u(7). Solve -b*l = -6*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/100 - f**3\/10 - 10*f**2. Let u(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + x = 51, 4*g = -3*x + 47 + 21. Suppose -f = -g*f + 192. Sort -3, 2, f, 3 in decreasing order.\nAnswer: f, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 214219 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35883159?\nAnswer: 3, 13, 41, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.37 * -3.28\nAnswer: 11.0536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 808912 and 11596?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2274444 divided by -568611.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*n = -6, 5*z + 2 = 5*n - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292064 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-6) - 4117\/(-69).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154794200 a multiple of 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from ofooooffoo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w\/(w\/w**(2\/7))))**(-43))**(-7\/4))**(4\/13))**(-3\/8) assuming w is positive.\nAnswer: w**(129\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6\/32)\/((-6)\/(-24)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*a**4*m**2 - 84*m**2 wrt a.\nAnswer: 72*a**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -14\/3709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1523155767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**3 + o**2 + 2*o + 2. Let t be s(-1). What is the derivative of -8*j**2 - t*j**2 + 1 - 4 - 2*j**2 wrt j?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 7*a**6\/360 + a**4\/12 - 11*a**3\/3 + 11*a. Let r(j) be the second derivative of g(j). Let f(q) = 2*q. Calculate r(f(u)).\nAnswer: 28*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b = 31*b + 400. 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: 7 divided by 30027489\nAnswer: 7\/30027489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i + 20. Suppose 3*s = -3*w + 2*s - 23, i = -4*w + 4*s. What is the units digit of (3\/w*122)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y**(-4\/11))\/(y\/(((y\/(y\/(y**(-6\/7)*y*y)))\/y)\/y*y)*(y*y*(y\/(y*(y\/(y**(-1\/2)\/y))\/y)*y)\/y*y*y)\/y) assuming y is positive.\nAnswer: y**(-1651\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 111. Let w(h) = -h**2 + 2*h + 6. Determine w(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -2 + 9 + -2. Let t = -7 + p. Let f(d) = d**3 + 3*d**2 - 2. Calculate f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104488 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3 + 4 + a**3 + 8 - 6 + a. What is the smallest common multiple of p(0) and -2 + 2 + -1 + 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/16 and -127\/17532.\nAnswer: 70128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 424*402665\nAnswer: 170729960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 - 2 = 0. Solve 0 = -3*v + m*b - 3, 5*v + 4 = b + 3*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34d4772 - 4?\nAnswer: 34d476c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 1 = -27*i - 3*l, -5*i - 2*l + 31 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8170 - 8166. Sort 2\/13, -0.1, -2, r, -2\/9 in ascending order.\nAnswer: -2, -2\/9, -0.1, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5 + 30. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8400.0984 - 8408. What is n rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 769669 divided by -1.\nAnswer: -769669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 392 + -401. Let d(r) = -r**2 + 1. Let t be d(1). Sort t, 5, i, -1 in decreasing order.\nAnswer: 5, t, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586673 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-23) assuming j is positive.\nAnswer: j**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + (-6)\/2)*1\/1. Suppose 0 = d + n*a - 561, -a = a. Let m = 1712 - d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2757 = 7*u - 11*u, -2*u = -6. Find the second derivative of 549*j**3 - 14*j - k*j**3 + 6*j**4 wrt j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202215.4 millennia in months?\nAnswer: 2426584800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**4 + 70*u**3 + 4*u**2 - 88*u + 6. Let a(j) = -3*j**4 - 69*j**3 - 4*j**2 + 90*j - 7. Let d(z) = 6*a(z) + 7*n(z). Solve d(l) = 0 for l.\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41120731313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32 minus 0.7?\nAnswer: -5.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 0.07. Let m = 1.31 - r. Let l = 0.6 + m. Which is the second smallest value? (a) l (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 12*v - 46 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwywywywyyww. What is prob of picking 2 w and 1 y?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(136)*-2 - 1*sqrt(136)*2)\/(2*sqrt(8)*4 + sqrt(40)\/sqrt(20)) + 5)**2*1.\nAnswer: -280*sqrt(17)\/17 + 1209\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 times 440\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q - 83*q - 8 = 0. Let p be 372\/(-21) - 4\/14. Let f be (-1)\/3 + (-96)\/p. Solve -q*r = -3*r - f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (227964\/45216 - (-3)\/(-72))\/((-10)\/(-154))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 32*z - 21 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-2)\/6 - (-6400)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*p - 246 = 0, -3*o - 4*p = -0*p - 346. Suppose 26 + o = 6*g. What are the prime factors of 0 - g\/18 - 248\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 326662416?\nAnswer: 130664966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 107 = 3*v, -g - 3*g = -2*v - 74. Let j be 12\/(-42)*1*v + -5. Solve 4*b - j*y = 3, 0 = -5*b - y - 0*y + 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 34 = -r + n, -50 = -5*r + 3*n. Find the second derivative of -8*x - 28*x**3 + 19*x + r*x wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 3, 0 in increasing order.\nAnswer: -3, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 10:31 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52280430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9396 + 9441. Solve 0 = 58*g + 129 + m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-4)*(-478)\/(-1434)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)\/((-7)\/(-56)*68 + -8). Put -3, -8, -4, -48, q in ascending order.\nAnswer: -48, -8, -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(7*(-12)\/(-14)*(-5)\/15)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*c**3*j**2 - 3083523*c**3*j + 24*c**2*j**2 + c*j**2 + c*j + 3737889*j**2 wrt c.\nAnswer: -276*j**2 - 18501138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4015769.61.\nAnswer: -4015770.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 304 = -320. What is the highest common factor of 130 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (7 - 12 - (-8 - -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**2 - 222*z + 79*z + 72*z + 73*z - 37 - z**3 + 46 as q*z**3 + a + f*z**2 + j*z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-74440)\/(-33498))\/((-5)\/(-108))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23342, -23360, -23378, -23396, -23414, -23432?\nAnswer: -23450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -9, 15.56?\nAnswer: 15.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -15.424. Let u = -0.024 - o. Which is the nearest to -9? (a) 0 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-18)*(5\/(-5))\/((-1)\/(-36)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 398643?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 305 = -o. Suppose t - o = 4*d + d, -t + 81 = 5*d. Suppose -k + 4*m - 22 = 0, 3*k + t + 17 = m. Is -30 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 21*x + 4. Calculate b(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(19\/4)\/o*o**12*o)**(2\/13))**(-1\/12) assuming o is positive.\nAnswer: o**(-67\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/12 - m**3\/6 + 9*m**2\/2 - 3375*m. Give q(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -41*t - 211. Determine q(-11).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s - 29. Let h(c) = -c - 7. Suppose 5*z - 14 + 4 = 5*f, 3*f + 10 = z. Let g(t) = z*y(t) + 9*h(t). Let v be g(7). Solve -v*w + 3 = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (145 - 138) + -5 + 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 - -631. Let r = z + -371. Let j be (2\/6)\/(5\/(-9)). What is the second smallest value in -4, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*r**2 - 226*r**2 - 1 + 74*r**2 as d*r + v*r**2 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-1 - (-12)\/14). Suppose 83*x = -12*x - 21*x - 348. Sort q, 3, x, -1.\nAnswer: x, -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Let r = 7 - 5. Suppose -4*h + 4*i = -i, r*h + i - 14 = 0. Solve -p*w = -4*w + h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.9. Let t = -4.2 + -20.8. Let d = t - -24. Which is the closest to q? (a) d (b) 4\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1465531 and 0.\nAnswer: 1465531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -108690 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let f(b) = 2100*b - 11. Let r(o) = -f(o) - 4*q(o). Let d be r(5). Let i = 23493 + d. Round i to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.3 minus 331.4?\nAnswer: -420.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b + -6f345?\nAnswer: -6f380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**4 + j**3 + 1. Let l(x) = 50*x**4 - 3*x**3 - 334. Let w(n) = -4*f(n) - l(n). What is the derivative of w(u) wrt u?\nAnswer: -232*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40608 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31163 times 0.3?\nAnswer: 9348.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -34\/5, 0, 1\/14, -15, -1 in ascending order.\nAnswer: -15, -34\/5, -1, 0, 1\/14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16318*z**2 + 5*z - 5*z.\nAnswer: 16318*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/6 - -5)\/((-1)\/(-14)). Let h = -72 - j. Suppose -2*w - 8 = 0, -v = -h*v + 2*w + 748. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 10*w = -448. Let v = 234 + -3287\/14. What is the common denominator of v and w\/12 + -2 - (-154)\/24?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/4 - 195\/28. Sort j, 0.1, -8 in ascending order.\nAnswer: -8, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.078 times -1.1\nAnswer: -0.0858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 163 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10*h = n + 7, -n + 5 = h. Suppose k + 19 - 7 = -n*y, 4*k - 2*y + 6 = 0. Let d(a) = a**2 - 2. What is d(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2072*f - 2*f**3 - 1036*f - 1036*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 2*c - 23*p, 2*p - 35 = -3*c - 0*p + 4 - 20 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/2178*((-432)\/(-9))\/(-1).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -207*j**3 - 374*j - 360 + 163*j**3 + 4*j**4 - 295*j - 460*j**2 + 200*j - 303*j.\nAnswer: 4*(j - 18)*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9501071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0389*5.\nAnswer: 0.1945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from zmmimmsmsissmsmzsm.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/60 - 7*n**4\/24 + 2*n**3 - 7*n**2 + 3*n. Let s be g(2). Put 0.3, s, 1\/7 in increasing order.\nAnswer: s, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -21077*2\/(1*8)*2136\/(-1246)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -21 + 5 - 1153*s**2 + 885*s**2 + 16. Let m(g) be the third derivative of -g**4\/24 + g**2. Determine n(m(r)).\nAnswer: -268*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 2*n + 7. Let x(r) = 2*r**2 - r + 2. Let m(p) = -2*o(p) + 7*x(p). What is the units digit of m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5 + 12*u**4 - 15*u**3 + 6*u**2.\nAnswer: -3*u**2*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-14))**(1\/3)\/(w**(-31)\/(w\/w**(-1))))**(-8) assuming w is positive.\nAnswer: w**(-680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 360*x**2 + 19*x + 71. Let z(j) = -119*j**2 - 7*j - 23. What is 3*a(n) + 8*z(n)?\nAnswer: 128*n**2 + n + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llxlllxlllllllxlxxl?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8*(-2 - -1))\/((-18)\/(-324)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 92, -2\/19 in increasing order.\nAnswer: -5, -2\/19, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2447312\/22915 - -2\/4583. Let f = -105 + p. Which is smaller: 13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -217, -437, -659, -883, -1109, -1337?\n\"Answer: -p**2 - 217*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2902 and 9354597?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/144 and -103\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -o*u - i + 4 + 2 = 0, 0 = -u + 5*i + 18. Solve 2*y - 11 = -u*w, 0*w + 4*w = y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(180\/(-8))*-5. Is t <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*y = w - 23, -3*y + 15 = 0. Suppose -42 = -w*i + 18. Suppose -5*k + 145 - i = 0. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.387 + 0.359. Let z = l - 0.747019. What is z rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -4595464?\nAnswer: -1378639.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7833 - 7360. Solve -474*t = -c*t - 7 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3774542 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*k**4 + 5*k**4 + 17*k**4 - 349*k**3 + (k**2 - k**2 - 2*k**2)*(-3*k + 3*k + k**2) to the form l*k**4 + a*k**2 + z*k**3 + s + f*k and give z.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhyxyhyhhhhxyh. What is prob of sequence hh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l - 3. Let p be 24\/(-40) - 7\/5. Let i(o) = -2. Let w(y) = p*z(y) + 3*i(y). Suppose w(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35173, -35221, -35301, -35413, -35557, -35733, -35941?\nAnswer: -36181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43646498 rounded to four dps?\nAnswer: -0.4365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*w**3 - b*w**2 - 6*b*w + b + 95*w**3 + 52*w**2 - 5674*w wrt w?\nAnswer: -12*b*w - 2*b + 570*w + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/(22\/(-10 + -34)). Sort y, 4, 3, 1, 0 in decreasing order.\nAnswer: 4, 3, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225346564 - -4?\nAnswer: -225346560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-20))\/(1\/(-15)). Suppose 2*m + 2*f = 38, 5*m - l*f = -2*f + 50. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 - 11*j + 5. Let o(r) = r**2 - 1. Let f(b) = -5*b**2 - 16*b + 6. Let h(n) = f(n) - o(n). Give -5*h(c) + 7*s(c).\nAnswer: 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 11*v + 227. Let r = v + 22. Solve 2*h = -0 - r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5714473.0179621?\nAnswer: 5714472.0179621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*x = 16, -2*a = 4*x - 19 + 5. What is the second derivative of 15*k**3 - 4*k + a*k**3 - 24*k**3 wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(5\/4))\/k*k)\/(k\/(k**(9\/2)*k*k)) assuming k is positive.\nAnswer: k**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0731 - -39.0731. Let g = d + -39.2. Is 56\/9 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10) + (-7)\/2. Let u = 25 - m. Is 4 a factor of 2\/(-8) - (-595)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2\/5, 4, -1\/24596055 in decreasing order.\nAnswer: 4, 2\/5, 1\/3, -1\/24596055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1013*u - 1112*u + 613800. What is the remainder when u is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61367, 61258, 61079, 60830, 60511, 60122?\nAnswer: 59663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0 + 1\/30*x**5 - 4*x**2 + 1\/3*x**3 + 0*x + 3\/8*x**4. What is the units digit of d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 313*j + 66. Let u(a) = 157*a + 39. Calculate -5*u(z) + 3*y(z).\nAnswer: 154*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11)\/((-660)\/2616)*10\/112.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 15*w + 89. Suppose 6*t + 24 + 24 = 0. Let h be m(t). Is -0.03 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1164443, 1164497, 1164537, 1164557, 1164551, 1164513, 1164437, 1164317?\n\"Answer: -u**3 - u**2 + 64*u + 1164381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.1 (c) -11 (d) 41.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 8*w - 2*w**2 - 602 + 698 + 4*w**2 + 0*w + w**2.\nAnswer: 3*w**2 + 8*w + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3, k = 25*v - 23*v + 10. Suppose -y + 203 = -4*y - d, -y - 69 = -d. Let g = -38 - y. Calculate the remainder when g is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 3217\/68?\nAnswer: 3217\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 4947?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 4. Let b be f(9). Suppose b*s - 2*n - 80 = 0, -81 = -5*s + n + 4. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:24 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -40, -67?\n\"Answer: -27*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165, 120, 43, -66?\n\"Answer: -16*j**2 + 3*j + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1578814, -6315251, -14209308, -25260985, -39470282?\n\"Answer: -1578810*y**2 - 7*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*o**3 + 3*d*o**2*y**2 - 73*d*o*y**2 - 2*o**3*y + 643*o**3 - 33*y**2 + 2*y wrt d?\nAnswer: o**3 + 3*o**2*y**2 - 73*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 790146.\nAnswer: 3950730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 334 = -4*c - 2*r, 8 = 4*r. Suppose -b + 106 = -q, 3*q = -2*b - 0*q + 207. Let n = c - b. Sort 29, 2, -3, n in increasing order.\nAnswer: -3, 2, n, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 - z**3 + 188 + 10*z**4 - 189 - 2*z**2 to d + o*z**3 + q*z + u*z**2 + m*z**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 108*w**2 - 4320*w - 29376.\nAnswer: 4*(w - 51)*(w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 4*r - 7. Determine l(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -6*p + 10. Find the common denominator of 15\/8 and 15\/(-4)*20\/p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 544*k - 9*k**2 - 544*k. Let z(j) = 5*j**2. Give z(l(h)).\nAnswer: 405*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(3 + sqrt(567)) - ((1 + sqrt(567))*-5 + -5 + (1*sqrt(567) - sqrt(567)) + sqrt(567)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 5. Let a = 17 + p. Let g = a + -2. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-2)\/(-2)) + 3. Let s = 3061.5 - 3062. What is the smallest value in -4, s, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1 + 1)\/1. Let i(d) = -2*d**2 - 25*d + 46. Suppose 88 = 7*l + 186. Let a be i(l). Sort a, -3, 1, j in increasing order.\nAnswer: -3, j, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7295.485 nanograms to kilograms.\nAnswer: 0.000000007295485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14993, -17219, -19445, -21671, -23897?\n\"Answer: -2226*a - 12767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(294)\/sqrt(6))\/(sqrt(448) - (sqrt(448) + sqrt(448)*3)).\nAnswer: 5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*f - 130826 = 218*f - 598007. What is the remainder when f is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (13 + -8 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/22*(-1 + 0). Solve b - 2 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a factor of 15878887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 8:27 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*p**2 + 280348 - 280348 - 131*p**3.\nAnswer: -131*p**3 + 136*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012837 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 0.091911?\nAnswer: -0.908089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1950 and 2970.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682\/(-242) + (2\/22)\/(2\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1678922601 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 116 + 79087*a - 79089*a)*(3*a**2 + 2*a**3 - 3*a**2).\nAnswer: -4*a**4 - 214*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 5. Let b(g) = 2. Let n(x) = 1. Let q(k) = 2*b(k) - 3*n(k). What is -2*i(t) - 10*q(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 5811, -31, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1361216 divided by -32\nAnswer: 42538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 1416*y - 50240.\nAnswer: -4*(y + 40)*(y + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 - 30*q**3 + 15*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 3*m**2 + 4*m. Let s be b(-4). Let a(l) = 12*l + 1. Let p be a(-1). Let u = -7 - p. Solve s = -2*r + u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4*j)*(-1 + 31 + 4) to the form d + r*j and give r.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -327\/5 - -65. Let t(p) = p**3 - 7*p**2 - 2. Let m be t(6). Let g be m\/9 - 6\/(-27). Which is the second smallest value? (a) -0.2 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25*n + 13. Calculate y(-5).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goggzgozwzozwwtogz. What is prob of picking 1 w and 1 o?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhx when three letters picked without replacement from ghhgxhgghgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 170 and -21403293272.\nAnswer: -21403293102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 21865.\nAnswer: -9\/21865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10671, -19438, -24423, -23736, -15487, 2214, 31257, 73532?\nAnswer: 130929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -19 - 4*j + 2 + 8. Suppose -29 + 11 = 3*c. Give h(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61963671 by 9427.\nAnswer: -6573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 2*j. Let g be x(2). What is the units digit of (32\/g)\/((-3)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 + f + 1. Let r(y) = 5*y**3 + 6*y**2 + 6*y + 6. Determine 6*o(d) - r(d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let k = 3 + -9. Let l be r(k). Suppose 0 = -c + l - 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -38, -73, -122, -191, -286?\n\"Answer: -o**3 + 2*o**2 - 26*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -142 (b) 24 (c) 2\/5 (d) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2 + 48*z - 112 = 0.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 403900 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 125 + 10419*i**2 - 125 - 10024*i**2. Let l(g) = -3*g. Determine l(f(k)).\nAnswer: -1185*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l**3 - 4*l**2 - 3*l. Let p(q) = q**3 + q**2 + q. Let s = -1520 - -1517. Calculate s*p(x) - o(x).\nAnswer: 7*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1212, -2424, -3636, -4848?\n\"Answer: -1212*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - a - 5. Let n be b(-3). Let t = -8 - n. Suppose 11 = -o + t*o. Is -2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {z: 1, c: 1, y: 1, i: 1, b: 2, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 2 + 3*p**2 - 5*p**2 + p**2. Suppose -4*r - 6 = -2*k, 5*r + 2 = 2*k - 3. Let m be (r\/((-3)\/(-12)))\/(-2). Give j(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 474 = -33062. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-14) + ((40\/(-10))\/(-28))\/(-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24101236 and -2.\nAnswer: 24101234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/21 (b) 0.225 (c) 19 (d) -2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/3800367 and -28\/153459?\nAnswer: 64606239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16260593?\nAnswer: 523, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560364684?\nAnswer: 2, 3, 11, 67, 63361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.2 or -4.764751?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -889.92.\nAnswer: -890.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1209298170 to the nearest 1000000.\nAnswer: 1209000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*k, -34*w + 4*k + 14 = -29*w. Solve 9*n = -w*n - 60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 369?\nAnswer: 369.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -738988771403 + -0.3.\nAnswer: -738988771403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/(-12))\/11*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 1. Let n(r) = 2*r + 7. Let l be n(-5). Let i be y(l). Suppose 0 = -m + 2*m - i. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, d: 3, q: 2, j: 3}. What is prob of picking 2 z and 1 q?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (75\/(-10))\/(2\/(-8)). Suppose n = -x + 11*x. Suppose 2*v - 15 + 5 = 0. Solve 0 = -b - 5, -x*b + 13 = -3*d - v*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2408*r = 2387*r - 5093*r - 5960 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, 1 s, and 1 e when four letters picked without replacement from {e: 4, s: 3, f: 1, k: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -269 (c) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -425 - -738. Let i = o - 475. Let n = -146.8 - i. Round n to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1112 and -31\/264.\nAnswer: 36696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 - f. Let p be -5 + 1 + -3 + 6. Let i(q) = -7*q**3 + 4*q**2 - 4*q. Calculate p*i(n) + 4*l(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n. Solve n*s + 3*s + 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32356776.24 rounded to the nearest 10000?\nAnswer: -32360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 338772 = 111885. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(36)\/sqrt(3)*6))\/(sqrt(4) + sqrt(4) + sqrt(36)\/(sqrt(36)\/sqrt(4)) - sqrt(48)\/sqrt(108)).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 19*i + 95. What is the tens digit of y(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + -56.2. Let h = 61.2 - 63. Let y = h + f. Which is the smallest value? (a) 1\/9 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6629*s - 11587 wrt s.\nAnswer: 6629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {g: 1, n: 1, u: 9, w: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 6 - 27 + 8*c + 21.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**2\/2 - 157*o - 5431. Let g(p) = -4*p**2. Calculate g(q(r)).\nAnswer: -36*r**2 + 3768*r - 98596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(1 + 4 - 4). Calculate the common denominator of 319\/176*(1 - f) and 73\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*s*x**2*y**2 + 2*s*x**2*y - s*x*y**3 + 2*s*x + 18497*x**2*y**3 - 7*x*y**2 - 7507*x*y + 3 wrt x.\nAnswer: 82*s*y**2 + 4*s*y + 36994*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 39 = -3*i. What is the greatest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 730971080 to the nearest integer?\nAnswer: 27036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321 by 15.\nAnswer: -107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.52 + 7.98. Let t = -163.3 - -155. Let u = t + z. Put -3, 2\/15, u in increasing order.\nAnswer: -3, 2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 7*o**2 - 2*o**3 + 3 + 0 + 1 + 2*o.\nAnswer: -2*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9055464ml to litres.\nAnswer: 0.0009055464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 15 (c) -1\/6 (d) -384 (e) 1 (f) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 0 + 0)*(-2 + 3 + 1)*(465910 + 3*g - 468360 - 4*g) to the form x + y*g**2 + i*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/45 + (-8)\/72. Let x(g) = g**3 - 2*g**2. Let p(a) = 3*a**3 - 8*a**2 - 2*a + 3. Let k(m) = w*p(m) - 4*x(m). What is k(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41 (b) 2 (c) -13\/2 (d) 2.3 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*z - 15 - 27, 0 = 2*z + 8. Let h(k) = -3*k**2 + 2*k + 4. Let r(p) = p**2 - p - 1. Let b(d) = 6*h(d) + 17*r(d). Give b(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -597.6, 0.5, -43, -2\/7, 2\/15, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/15 - 3252*p**2\/5 - 6502*p\/5 - 9752\/15.\nAnswer: -2*(p + 1)**2*(p + 4876)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1361 + 204?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26120\/80 + -2 + 8)*4052. Round u to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 936, 935, 934, 933?\n\"Answer: -y + 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/9 - 27746*a**4\/9 + 64706*a**3\/3 + 83242*a**2\/9 - 637864*a\/9 + 129416\/3 = 0.\nAnswer: -2, 1, 7, 13866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s - 32. Let a(l) = -16*l + 64. Let q(g) = -3*a(g) - 5*t(g). What is q(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2512671*z**3 - 1203982 with respect to z.\nAnswer: 7538013*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f + 8. Let g be z(-5). Let d = -29 + g. Solve -3*p + n = -p - 8, -d*p + 22 = -5*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/2 + 33*q\/2 - 39 = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -662 - -662. Suppose 71*x - 79*x = n. Sort 0.2, 9, x in descending order.\nAnswer: 9, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, and 2 v when four letters picked without replacement from {v: 11, y: 1, t: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.61267 - 0.5137. Let j = 0.18213 + m. Let b = j + -1.191. Round b to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.68 in -0.5, -1853, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220122021 (base 4) to base 13.\nAnswer: -3367c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 13*b**2 - 9*b - 14. Calculate the lowest common multiple of d(12) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = r + 16*r - 577. Solve 0 = -24*x - r + 253 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 509 + -504. Let a(m) = m**2 - 11*m + 34. Let k be a(o). Solve 50 = 14*r - k*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*d + 27 + 23, -5*f - 2*d = 85. Let o be (97\/(-5) + 2)*f. Let r = 3391\/13 - o. What is the nearest to 2\/11 in 0.3, r, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 635003271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/(315\/(-10)) + 27055\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(1\/6))**40*(m\/(m\/(m\/(m\/m**1))))**(22\/3) assuming m is positive.\nAnswer: m**134","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11150034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 18. Let z be -3 + (o - 1 - -8). Suppose 3*u - 7 = -b, b = -2*b + 5*u + 35. What is the greatest common factor of b and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19604 in -1\/3, 0.3, 1.82, -3, 2, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(0 + ((sqrt(245) + -2 + sqrt(245))*-6 + sqrt(245) - (4*(-2 + sqrt(245) + sqrt(245)) + sqrt(245))))*6)**2.\nAnswer: -85017600 + 4838400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 8*p - 3*p)*(9 - 55*p - 9).\nAnswer: 495*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207967.1 micrograms in tonnes?\nAnswer: 0.0000002079671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 219341.691 to the nearest 100.\nAnswer: 219300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 274*b**4 - 151 wrt b?\nAnswer: 1096*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 4. Suppose -5 = 4*b - 21. Let w be s(b). Suppose 3*c = c - z + w, 2*c = -2*z + 18. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/11, -5400.6, 2\/3, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 58325500*k**2\/7 + 425232993781250*k\/7.\nAnswer: 2*k*(k - 14581375)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73941 and 84504?\nAnswer: 591528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1800, -14316, -48238, -114246, -223020, -385240, -611586?\nAnswer: -912738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116926 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -272 and 834039081.\nAnswer: 834038809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Suppose a - p - 3 = 0. What is the second derivative of 3*t**5 - t + 2*t - t**a wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 7 - 519*f - 9 - 6*f**4 - 519*f + 1037*f to the form n*f + d*f**3 + g*f**4 + u + v*f**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*n - 23, -3*t + 4*n + 16 = 2*t. Suppose -t*o = -3*o - 2. Suppose -3*x = -o*x. Put -1, x, 3 in descending order.\nAnswer: 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c + 60. Let f be a(-5). Sort 2, -5, 1, f in ascending order.\nAnswer: -5, f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 6*h + 6. Let v be g(7). Let p be v + (0 - -1)*2. Differentiate 0 - p + 0*f**4 + 3*f**4 with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -696*t - 2786. Let w be m(-4). What is the closest to -13\/6 in w, -1, -0.2, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x = -146*x - 1320 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*p - 0*p + 6, -4*r + 5 = -3*p. What is the common denominator of (-1744)\/(-36)*r\/16 and 3420\/48*1\/12?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2004 times 8042\nAnswer: -16116168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 8:44 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12330?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003103 (base 4) in base 15?\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 72 = -0*b. Let k(p) = -2*p**2 - 20*p - 19. Calculate the remainder when b is divided by k(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 - 86788*q**3 - 4*q - 7288 wrt q?\nAnswer: -20*q**3 - 520728*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 50, 90, 146?\n\"Answer: 8*z**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/9 (b) 2 (c) 0.34 (d) 132.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 20 - 40. Suppose -3*d - 52 + f = 0. Which is the third biggest value? (a) 0.6 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*b - 17, 4*l - 5*l = 5*b + 10. Put l, 13, 4 in ascending order.\nAnswer: l, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, 5, 45, 85, 125, 165?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42449 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*-1784523.8.\nAnswer: 446130.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Suppose w + 8 = 5*q - 8, -4*w + 2*q - 28 = 0. Let m(g) = -14*g + 405 - 201 - 204. Give w*m(i) + 77*h(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:37 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18814407 (base 9) to base 16\nAnswer: -913699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let u be x(-2). Let l be 1\/3*(-7 - -22). Suppose -3*j + l*y + 23 = 0, 2*y - 1 = -j + 3. Solve -u*g - 3*i = -3, 3*g = 2*i - j*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/16024219 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 10326?\nAnswer: -10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -738 (base 12) to base 13.\nAnswer: -62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - -85 - (20 + 1) - (-1 - 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(0*f + 2*f - f) + 154*f - 75*f + 100*f)*(2 - 2 - 1).\nAnswer: -178*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 35. Let v(x) = 9*x**2 + 14*x - 12. Let b(c) = -c**2 - 4*c**2 - c**2 - 7*c + c**2 + 6. Let j(i) = l*b(i) - 6*v(i). What is j(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2325*o**3 - 496*o**2 + 246*o**2 + 4634*o**3 + 236*o**2 - 2312*o**3.\nAnswer: -3*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2319 - 1691. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 2*b)*((2 - 1 + 1)*(-3 - 2 + 2) - 2 + 2 + 1).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 less than or equal to 894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 34057135?\nAnswer: -34057132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -104, -112, -108, -86, -40, 36, 148, 302?\n\"Answer: v**3 - 15*v - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 + 653 = 8*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/4919 and 149\/7762182?\nAnswer: 7762182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 234*t**4\/7 - 220*t**3\/7 - 184*t**2 + 1584*t\/7 = 0.\nAnswer: -22\/9, 0, 18\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -198. Suppose 0 = -3*j - 2*h + 485, -5*h + u = 5*j - 675. List the prime factors of j.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/2*2\/(-3). Let f = -82\/15 + x. Let i = 0.9 + -1. Which is the third biggest value? (a) -4 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**3 - 5*d + 7*d**3 + 14*d in the form m*d**3 + v*d**2 + f*d + k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-858)\/65)\/(130\/(-325))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(187)\/(2*sqrt(11)) - ((-5 + sqrt(17)*1 - sqrt(17)) + -4))**2.\nAnswer: 45*sqrt(17) + 749\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 + -13*8. Let f = w - -185. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-7 - -1) + 7) - 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + 0.078. Let o = l - 0.0069. Round o to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/6 (b) -4 (c) -3 (d) -2725.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 640020148\/5 or 128004029?\nAnswer: 640020148\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**(-42)\/(f*f**(-18)\/f*f*f\/f**6) assuming f is positive.\nAnswer: f**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453308 - -111169. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 5*v = 8*m + 48, 2*m - 4*v = 32. Suppose s + 2*s = -9, f = 2*s + 86. What is the greatest common divisor of m and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 47 = 13. Suppose -f + 75 + 37 = 0. Let n = f + -68. Calculate the remainder when n is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 4*y = 0. Suppose y = 3*j, -d + 2*j + 5 = 4*j. Solve 4*m = d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 3. Let n = -4 + r. Let h(t) = t**2 + 2*t - 2. What is the remainder when n is divided by h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -28 - -38 - (-6 + 5)) + -36?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(264\/(-12))\/(-22).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -846, -2742, -6426, -12492, -21534?\nAnswer: -34146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-2 - -3) + -11). Suppose -66*i = -49*i + 68. Which is the closest to m? (a) 1 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**4 + 9*b - 4. Let p(l) = l**4 - l + 1. Let v(m) = -4*p(m) - w(m). Find the second derivative of v(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2.3. Let x = m + -1.5. What is the closest to 1\/3 in x, 1\/4, 4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 3*q**5 - q**3 - 7*q**2\/2 + 70. What is the second derivative of k(z) wrt z?\nAnswer: 180*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-70)*-5)\/(5\/20*6).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 7*w**2 - 24*w - 105. Determine u(-6).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2. Let y(r) be the first derivative of r**4\/3 - 2*r + 1. Let m(d) be the first derivative of y(d). Calculate u(m(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 - 649 + 379)*(5*f + 4*f - 2*f) + 2 - f - 2.\nAnswer: -2738*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 51*s**2\/5 + 144*s + 1728\/5.\nAnswer: (s + 3)*(s + 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -8. Let t be 48\/((-6)\/15*(-15)\/m). Suppose 62 = 6*g - t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/77 and 111\/220?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**4 + 0*q**4 + 5*q**4)*(3 - 2 - 2 - 3 - 2 + 4 + (5 - 5 + 2)*(-3 + 1 + 3) + 3 - 3 + 1 - 3 - 4 + 3)*(981 - 2490 + 765).\nAnswer: -2232*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/2 + 62455*s**2\/2 - 374703*s\/2 + 562041\/2 = 0.\nAnswer: 3, 62449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 137 = -241. Let d = 22 - 15. What is the highest common divisor of d and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (53410\/(-210))\/((-7)\/651)?\nAnswer: 7, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -20. Suppose 14 = -4*l + a. What is the remainder when 24 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2139.86118 to the nearest ten.\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-380)\/(-12)*(5 + -2 + 0). Calculate the highest common factor of 495 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/4 + 846297*s\/2 + 716218612209\/4 = 0.\nAnswer: -846297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9536 - -58849. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 5. Let w be x(-2). Is 37*(0 + 13) + -1 + w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 9*n**2 - 2*n + 7. Let k = 266 + -235. Calculate the remainder when i(-8) is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/(8*2\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*0\/(-123)*(-1)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 10*q + 6. Let j = 271 + -233. Suppose 8 = -j*i + 39*i. Calculate v(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 greater than -12\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (42\/105)\/((-12)\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/76, -2\/399, 27\/22 in increasing order.\nAnswer: -1\/76, -2\/399, 27\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -542314302?\nAnswer: -542314304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let h(y) = -145*y**2. Let x(z) = -h(z) - 116*p(z). Let i(m) be the third derivative of -m**5\/60 - 9*m**2. Give x(i(o)).\nAnswer: 29*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -m - 1, 2*m = 2*u + 6. Suppose m*j - f - 76 = 0, 4*f - 2 = 14. Let b = j - 7. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 990\/105*(28\/(-6))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6770579841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 158.9?\nAnswer: -3336.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15))\/(51*(-7)\/105)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**3*n*w + k**3 + 42*k**2*w + 11*n + w + 9 wrt k.\nAnswer: -3*k**2*n*w + 3*k**2 + 84*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151.9 - -35.1. Let n = 191 - s. Which is the third smallest value? (a) n (b) 0.2 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(2\/7)*b))**(2\/35)\/(b**(1\/3)\/(b**3\/b))*(b**(-2\/3)*b)**42*b**0\/b**(5\/2) assuming b is positive.\nAnswer: b**(3883\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-393406)\/(-10) - (1001\/35 + -29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722*f**2 + 385*f**2 + 5*f**2 + 110*f**2 - 95*f**2.\nAnswer: 1127*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*g = -96*g. Suppose g*u = -12*u + 276. What is the remainder when 54 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2\/5, 4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 5*c**4 + c**4 + (c + 3*c - 3*c)*(0 + 3*c**2 + 0)*(c + 0*c - 3*c).\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 74305528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*n**2 - n**3 - 10*n**2 + 17*n + 48*n**2 + 3 + 0 - 4 to the form u + k*n + y*n**3 + v*n**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/231 + 0)\/(16\/112).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -846*j**3*n**2 - 160*j**2*n + 3*n**2 wrt j?\nAnswer: -5076*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-20)\/(-12))\/((-8)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10269?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/630 + 7*h**6\/360 - h**5\/20 - 7*h**4\/72 + 5*h**3\/9 + 74*h**2 + 6*h. Let z(g) = 0. Calculate g.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*o - 4 = 24, 0 = 4*w + o + 20. What is the common denominator of 3\/((-96)\/(-274)) - 4 - 4 and w\/2 - 9\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 2*y - 20. Give v(10).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1928*m - 2446*m - 5816*m - 1665*m.\nAnswer: -11855*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)\/(m\/m**(-1\/3)))\/(m\/(m\/(m*(((m\/m**(2\/3))\/m)\/m)\/m*m)))**(-7)*((m\/(m\/(m*m**(2\/5))))\/(m**(-6)\/m))\/(m**(5\/4)\/(m\/(m**8*m))) assuming m is positive.\nAnswer: m**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 13 = -2*p, -p + 2*v + 5 + 2 = 0. Let k be ((-1)\/(-5))\/(26\/30 - p). What is the fourth biggest value in -5, k, -15, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 3:57 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -1\/2, -0.4, -0.019, -9, 0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let z(f) = -f**3 + 37*f**2 + 8*f - 296. Let m be z(37). Let c(w) be the first derivative of m*w - 6 - 1\/2*w**2. Give c(b(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 4}. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (3 - 0 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456820 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6693*w - 6693*w + 10*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r**2 - 39*r + 39*r to the form y*r + m*r**2 + j and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11613 is divided by 71.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g\/((g\/g**(5\/3))\/g))))*g)\/g*(g**(-2\/13)*g*g)\/g*(g\/(g**11*g))\/(g**(-1\/55)\/g))**(-10) assuming g is positive.\nAnswer: g**(46342\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/4, 130, 0.2, 6 in decreasing order.\nAnswer: 130, 6, 1\/4, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-5)*((-264)\/770)\/6.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 2*g**2 + 59*g**3 + 2*g**4 + 15 - 57*g**3 + 0*g**2 as i*g + w*g**4 + q + s*g**2 + m*g**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvkrrkrrkrkrxrrk. Give prob of picking 1 r and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*m - 29*m + 11*m + 300. Let n(f) = f**3 - 4*f**2 - 24*f + 93. What is n(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -3*x + x, 2*x - s = 8. Suppose 430 = -x*v + 1362. List the prime factors of v.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 29*p = 4400. Let f = -95 + p. What is the remainder when 111 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 11, 33, 85, 179, 327?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/2246202 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/120 + p**5\/10 - p**4\/3 + 7*p**3\/6 + 3*p**2. Let s be a(-7). Suppose 0 = -5*x + 199 - s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v. Suppose 0 = -5*d + 15, v = -3*y - d + 4*d + 3. Suppose -4*m + 4*q + 12 = 0, -y*m + 4 + 4 = -5*q. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*j = 273*j + 3*d - 2, -5*j - 5*d + 20 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-108) + 195622\/(-1602)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-t**3 + 0*t + 0*t + (-2*t + 2*t**2 + 2*t)*(-2*t + 3*t + t)) - t**3 + 0*t**3 + 2*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(121\/11))\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -13*s**5\/20 + s**4\/4 + s**3 + 6*s**2 + 4*s - 22. What is the tens digit of x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 5\/6, 0.1, 0, 21\/38, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 63. Let j = -1 - -3. Let p = -2\/45 - -143\/180. What is the nearest to j in w, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/5 + 1428*c**3\/5 + 50114*c**2 - 309600*c + 259200 = 0 for c.\nAnswer: -360, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose 2*r + 54 = -3*r + v, 3*r = -5*v - 10. Let a be -7 - r - (b - 1). Solve 24 = -4*t + a*f, -3*t = -5*f - 2 + 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14801 take away -3?\nAnswer: -14798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**5 + 14*t + 7*t**5 + 4*t - 9*t wrt t.\nAnswer: 220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 5:12 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-65)\/(-7) + 2\/(-7). Suppose 2*i + i - z = 0. Solve -g + i = -0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpx when three letters picked without replacement from ugeuxexurepgeux?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2272 and 448.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 543921634 to the nearest 1000000.\nAnswer: 544000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 4*t + 2. Let y be h(4). Let i be (6\/y)\/(-1) + 37. Suppose 3*w + 10 = i. What is the lowest common multiple of w and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2743176*g**4 + 357215490.\nAnswer: -10972704*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/57 (b) -16 (c) -0.4 (d) -6.6 (e) -1\/5 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.1, -4, 3\/4, 0.5, -6\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 2*m**2 + 2962 - 1122 - 707 - 1133.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 9201262*k**2 + 18402530*k - 9201266.\nAnswer: -2*(k - 1)**2*(k + 4600633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + (7 - 0) + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257864.\nAnswer: 2, 3, 17, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1221 and 34\/269.\nAnswer: 328449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + (-39)\/(-26). Let v(c) = -2*c**3 + 3*c**2 - c + 1. Give v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22887 divided by 2451.\nAnswer: -7629\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 105b6a6 (base 13) in base 9?\nAnswer: 10352673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 15*v + 15*v - 2 - 50*v + 17*v. Let a(j) be the first derivative of -5*j**2\/2 + 28*j + 15. Let f be a(6). Give q(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1737 + -266. Is k a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.3. Let f = -153.9 + 154.2. What is the nearest to -0.3 in 1, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose -q + 13 = -a*q - 4*g, -13 = -q - 4*g. What is the highest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeteetetgtetbebe. What is prob of sequence gett?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**6\/57 + 4*d**5\/19 - 17*d**4\/19 + 104*d**3\/57 - 37*d**2\/19 + 20*d\/19 + 59. Find o, given that q(o) = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 4 + 5\/2*f**2 - 3\/2*f**4 + 0*f**3 + 0*f. Find the second derivative of l(q) wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32824003943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*(-1)\/(12\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872) + 1)*-3 - (-3 + 1*(0 + sqrt(1872))).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Determine j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a factor of 3005964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152368 and 12?\nAnswer: 457104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let x(m) = 1427*m**2. Determine y(x(v)).\nAnswer: 1427*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012002021 - -110201?\nAnswer: 1012112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/11)\/(((-511)\/(-1022))\/((-206)\/4))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/32435 and 37\/1339.\nAnswer: 3340805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -348, -696, -1034, -1356, -1656, -1928, -2166, -2364?\n\"Answer: n**3 - n**2 - 352*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, o: 2, f: 5}. What is prob of sequence bf?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/33 and -34\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjjxxjbxijobxjjoxxj. Give prob of sequence gjox.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75167897579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 22 = -v - 0*k, -2 = 2*k. Let f = v + 102. Let y(u) = 26 + f*u - 17*u - 26. Let w(a) = a. Give y(w(p)).\nAnswer: 64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + 3*u - 5. Let l = 48 - 53. Let a(r) = -2*r**2 + 2*r - 3. What is l*a(h) + 3*b(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -20*a + 37 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4101772 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 2 = t - 3*m, 0 = 4*t + 2*m + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -55, 5, 2\/7, -0.12, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - (136\/(-4) - 0)) + 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122 + 103 - 14*x**3 + 16*x**3 + (3*x**2 - x**2 - x**2)*(-x - 2*x + 4*x) to the form p*x**3 + t + c*x**2 + u*x and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 49. Let i be (4\/8 + c)\/((-2)\/(-12)). Let a(o) = 4*o + 6. Is a(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 + 16010*u + 1415505 = 0 for u.\nAnswer: -3111, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 0 - 20 + 10.\nAnswer: -21*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530425 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9263 by -807.\nAnswer: -9263\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-352)\/(-2772))\/1.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 - 76*i - 96. Calculate m(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 + 79*h**3 - 242*h**3.\nAnswer: -180*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623546?\nAnswer: 2, 7, 11, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270039*i*q**3 - 4*q**3 + q**2 - 23839*q wrt i.\nAnswer: -270039*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-610)\/(-488) - (0 + (-15678)\/8)?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 88*a - 726.\nAnswer: -2*(a - 33)*(a - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 7*d + 92. What is the second derivative of 5*p + 2*p**4 - p - d*p**4 wrt p?\nAnswer: -252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:24 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 10 = 17*t - 13*t - 8, -15*d - 45 = -5*t - 12*d for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/33 + 40\/11. Let l = h - 37\/12. Let x = -0.1 - -0.1. Sort x, -4, l in descending order.\nAnswer: l, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98715712 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -1\/3*k**3 + 1\/6*k**4 + 1\/2*k**2 - 1\/30*k**5 + 1 + 0*k. Let h(a) be the second derivative of p(a). Let h(u) = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1619.9 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5460218629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3904 - -725. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 174*c - 164*c + 1.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3864355 by -55.\nAnswer: -70261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 385\/15 + 3\/9. Suppose -r = -5*j + 224. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 630 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 1 + sqrt(684) + sqrt(684))*-1)**2 - ((sqrt(684) - (sqrt(684) - (sqrt(684) + sqrt(684)*1)))**2*-1 + (-1 + sqrt(684))**2 + 1)*-3.\nAnswer: 156*sqrt(19) + 4810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0287 rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.48 and 16828379.9.\nAnswer: 16828380.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1083*q**3 - 2*q**2 - 2*q - 2. Let s(k) = -3247*k**3 - 7*k**2 - 7*k - 6. What is -7*c(d) + 2*s(d)?\nAnswer: 1087*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025335348 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575900 is divided by 7576.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-1)\/(-3) - (-21475)\/(-15). Let g = -447 - l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51301 is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -774*x**2\/11 - 18478*x\/11 - 48468\/11.\nAnswer: -2*(x + 3)*(387*x + 8078)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 53314?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 140. Let h be i(39). Which is bigger: h or -116\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztaat. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -556619, 4, -8 in decreasing order.\nAnswer: 4, -8, -556619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194? (a) -2 (b) 2\/11 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*(sqrt(396) + sqrt(396) + -5)*5 - (2 + 1*sqrt(396))*5) + 5)**2.\nAnswer: -68580*sqrt(11) + 818029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbuububbbbbbb. What is prob of sequence bb?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61.5 + -61.543. What is c rounded to 3 decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586614826 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(32\/90)\/8. Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*w - 7*j + 15 + 30, -3*j = -2*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468877048.\nAnswer: 2, 109, 5124859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 13 = w + 3*b, 5*w + 4*b - 22 = 0. Solve -12 = -4*f - w*s, -3*s = f - 7*s - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 237051*a**2. Let s(f) = -f. Give p(s(q)).\nAnswer: 237051*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 126542*t + 8 = -126544*t - 7, -110 = -2*o + 5*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, -1\/5, -3, -4\/75, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**8\/13440 - k**7\/1680 + k**6\/1440 + k**5\/80 + k**4\/6 - 4*k**2. Let a(o) be the second derivative of s(o). Factor a(w).\nAnswer: -(w - 1)*(w + 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let l be (-8 - -6) + -4 - -5. Let r(w) = 7*w**2 - 17*w + 4. Let q(j) = j**2 + 1. Let t(b) = l*r(b) + 4*q(b). Calculate t(g(i)).\nAnswer: -3*i**2 - 17*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3991, 8225, 12459, 16693?\n\"Answer: 4234*p - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = 4*o + 24, 0 = -4*o + 2*u - 26. Let q be (2\/o)\/((-25)\/125). Solve -2*j + 23 = q*j + 5*p, 0 = -3*j + 3*p - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/35)\/((-1)\/(-10)). Suppose -14 = -n*g + 3*g. Is ((-7)\/g)\/((-1)\/322) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q + 4. Let a be o(0). Let t = 10 - a. What is the lowest common multiple of 9 - (-3 + (-3 - -3)) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, k: 9}. Give prob of picking 2 u.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5395057 or 5395053?\nAnswer: 5395057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 41, 105, 215, 383, 621, 941, 1355?\n\"Answer: 2*f**3 + 5*f**2 + f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -64.1. Let r = h + -2.1. Which is the smallest value? (a) r (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h**2 - h. Let m be i(-1). Let y = m + 25. Suppose 23*v - 224 = 16*v. Calculate the remainder when v is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let k be (-7 + 7)\/(-6) + (-18)\/13. Are g and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 36*q + 132. Let v be h(-3). Calculate the highest common divisor of v and 3336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a5 + -34?\nAnswer: -1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0921888 millimeters to kilometers.\nAnswer: 0.0000000921888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8 (b) 0.2 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q + 136. Let h be v(17). Suppose -22*y - 29 + 1107 = h. Solve -3*c + y = 40 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375 and 16032?\nAnswer: 2004000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 11. Let m be r(-8). Suppose 14 - 39 = -m*x. Solve x*y + 7 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602048?\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-one halves of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 268270 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 13*z + 5*t + 33 = 0, 0 = 5*z - t - 57. What is the smallest common multiple of 44 and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let c be b(-5). Suppose 3*k = c*k + 2, -l = 2*k - 5. Solve 2*h + 0*d + l = d, -h + d = 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 2, e: 2, o: 2}. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(242) - -2*sqrt(128)*3)**2.\nAnswer: 6962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/23 + 111875\/(-2875). Let t(x) = 2*x**3 + 3*x**2 + 4*x. Let s be t(-3). Let c = s - r. Solve c = 4*p - 3*v - 21, -5*v + 2*v = p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 864 by 108.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1188 and 32736?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:18 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 3*z - 1. Let i = -17 - -23. Let p = 3 + i. Suppose p = 13*d - 10*d. What is g(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3307894, 3307893, 3307892, 3307891, 3307890?\n\"Answer: -x + 3307895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -5*y**9\/1512 - y**6\/72 + 4*y**3\/3 + 4. Let k(p) be the third derivative of w(p). Find the third derivative of k(r) wrt r.\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -96*p + 32. Let s be d(-3). Suppose 13*b = 8*b - 3*u + 288, 5*b = 5*u + s. What is the smallest common multiple of 40 and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 - 9*x**3 + 54)*(0*x - x + 0*x) - 10*x**2 + x**4 + 10*x**2.\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8))**(-8)*i**42*i\/(i**4\/i) assuming i is positive.\nAnswer: i**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c - 85*c = -43*c + 82*c - 9717 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22244 - -960696?\nAnswer: 938452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746507 divided by 746507.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 5*c - 5 - 0, -234*c + 19 = -3*x - 238*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 320?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4819866000 rounded to the nearest 1000000?\nAnswer: -4820000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 + 13*p**3\/3 + 6*p**2 + 3*p + 2. Let f be y(14). Let c = f + 41. Calculate the greatest common factor of c and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*r - 403 + 403 as z + i*r and give i.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125868368.92581 - -125867757. Let k = r + 0.02581. Let q = k + 586. Round q to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, 11, -3, -687 in increasing order.\nAnswer: -687, -3, 11, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(i + 2*i**3 - i) + 5*i**3 + 7*i**3 - 5*i**3 - 43*i**3 + i**3 - 45*i**3 + (-4*i**2 + 5*i**2 + 0*i**2)*(2*i + 4 - 4).\nAnswer: -74*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*w - 31, -2*k = 30178*w - 30197*w + 135 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 220*z - 3. Let i be (-3)\/(3\/2) + 7. Is o(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 4*x + 3. Let y = 3 - 1. List the prime factors of m(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 1195*h - 54870 = 0. What is h?\nAnswer: 62, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/68365 and 58\/5445.\nAnswer: 615285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1529 - 717. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(70400\/1216))\/((-1)\/11)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233793996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*j**3 - 4*j**2 - j**2 + 5*j**2.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((24\/(-18))\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.41. Let f = t - 0.089994. Round f to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 310 + 357 - 583 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*c**2 - 6236*c + 1784.\nAnswer: -4*(c + 223)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**2 + 1826*a + 189. Calculate w(203).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611397 + 256360 = 1396*n + 6572*n + 441763 for n.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4773397 is divided by 1563.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 + 7 + 5 + 14*j - 3 wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 89*g**2 + 4*g + 45*g**2 + 45*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 36. Calculate the remainder when ((-12)\/(-9))\/(2\/r) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 48 = -153. What is the greatest common factor of z and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.959107 millilitres in litres?\nAnswer: 0.004959107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.5379 rounded to 2 decimal places?\nAnswer: -51.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 1 - k**4 - 1 + (-k**3 - k**2 + k**2)*(5*k - 3*k - 6*k) - 25*k**4 + 18*k**4 + 24*k**4.\nAnswer: 20*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*y**2\/11 - 53998*y\/11 - 600\/11 = 0. What is y?\nAnswer: -1\/90, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 6 = -d - 3, -4*o = -3*d + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.191653s to minutes.\nAnswer: 0.23652755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*c = -72, -6*l + 2*l + 4*c = -60. Suppose 0*a + f = a - 6, -4*a = f - l. Solve -a = -4*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 295 = 67*n - 455 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 12.3. Let j = l - -1.6. Let y = 0.2986 - j. What is y rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (485*m**4 + 175 + m**3 + 0*m**3 - 487*m**4)*(-2*m + 6 - 6).\nAnswer: 4*m**5 - 2*m**4 - 350*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -455?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112288 by -1276.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -14 + 8. Let g = 0 + 5. What is the nearest to -1 in g, l, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223737660 and 2700?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0\/t*t)**(-12\/5)\/((t\/t**(-1\/2))\/(t*(t*(((t\/((t**5\/t*t)\/t))\/t)\/t)\/t)\/t*t))*t\/(t**(-1\/2)*t)*t**2*(t*t**(-1\/4))**(-12) assuming t is positive.\nAnswer: t**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*w - 80, 5*f + 3*w + 30 + 46 = 0. Let h = f - -19. Let -l**2 - 12*l + h - 3*l**2 - 10 = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 8 - 20. Suppose f = 5*y + 155, -f - 5*y = f - 340. Suppose c*l = -l + f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129022459.\nAnswer: 129022459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**4 + p**4 + p**4)*(-96 + 129 - 76) as g*p**2 + b*p**4 + n*p + y*p**3 + u and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55046932 is divided by 9994?\nAnswer: 9974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 8*r**2 + 4*r + 10. Let l be i(-7). Suppose -378 = -5*y + 227. Let a = y + l. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2182879.\nAnswer: 4365758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:53 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 5*u + 4. What is the remainder when 258 is divided by p(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 3*a. Let d be b(-3). Let q be ((-21)\/(-6))\/(3\/d). Suppose 2 = -f + q. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47223 or -47210?\nAnswer: -47223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {l: 1, a: 1, s: 4, n: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + -1. Let f = q + 11. Suppose -f*y - 64 = -6*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 25 + 35*l**2 + 72 - 24.\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n - 2896 = 0, -r - n = 3*r - 5794. Suppose 404 - r = -5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 + (-132646)\/(-32). Let m = o - 4148. Calculate the common denominator of -115\/6 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56230 is divided by 58?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -15, 5\/6, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 6. Let h be k(-6). Suppose 5*t - 40 = -0*t. Suppose -t = -d - h. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335319214283 + 14*c**3 + 335319214283.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven halves of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-15*g**2 + 2*g**2 - 4*g**2)*(-2*g + 2*g - g) - 18*g**2 + 18*g**2 - 4*g**3)*(-5*g - 2*g + 3*g).\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89887.27 centuries to years.\nAnswer: 8988727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71712.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 1 - 68)*(-k**3 + 37*k**2 - 11*k**2 + 5*k**2 + 16*k**2) as d*k**2 + c*k**3 + s + b*k and give d.\nAnswer: -4277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3099, -50 in descending order.\nAnswer: 3099, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)\/c)**(1\/34))**(-34) assuming c is positive.\nAnswer: c**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 600629269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r + 160 + 636 = -335 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4680681 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = 4*n - 0*t, 0 = 5*n - 4*t - 8. Suppose 2*l + 0*l - k - 997 = n, 0 = -k - 3. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 9, e: 7}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. Suppose i*l = 1097 + 51. Suppose -o + 0*o + l = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 40 = -4*v, 0 = -4*v + 5*k - k + 64. What is the tens digit of v\/42 - (-2 - 880\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p + 10. What is the common denominator of -125\/18 and 3\/(-2) - (-128)\/p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 29492162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3141 = 24225. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-222)\/(-72) - (-12)\/(-4). Sort -0.4, -0.3, 1, n in ascending order.\nAnswer: -0.4, -0.3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffl when three letters picked without replacement from {q: 1, l: 1, f: 4, a: 2, r: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 403517 times -0.5\nAnswer: -201758.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 1\/3*y**3 - 1\/2*y**2 + 0*y + 5. Factor i(j).\nAnswer: j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.227, 3\/5, 1\/4?\nAnswer: 0.227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 20*l + 23. Let p be c(20). Suppose -20*g - 9 = -p*g. Solve -2*x - 3*x + 5*w = -10, -4*x = g*w + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/10*-6*(-90)\/(-27). Solve -2*b - 2 = y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*u - 13. Let j = -171749\/4 - -42702. Let l = j - -234. What is the second biggest value in l, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose u - m*j - 39 = 1, 3*u + j = 70. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 254408185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573680?\nAnswer: 2, 3, 5, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 101101101111010011101011?\nAnswer: -101101101111010011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 3*i**2 - 2*i - 6. Let u be n(5). Let d = u + 881. Let f be (6250\/(-9))\/((-9)\/d)*222. Round f to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 0.039, -1\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102.1 + -103.392. Let u = c + 1.2920981. What is u rounded to six decimal places?\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37b + 12624?\nAnswer: 12265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 380*l - 200*l - 182*l. Let o(r) = r + 0 + 2 - 1 + 6. Give o(p(t)).\nAnswer: -2*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-153))\/(4\/188) - (5 - (-132)\/(-27))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 + 1. Let b(g) = -981*g**2 - 9453 + 9461 + 989*g**2 - 42*g**3. What is b(p) - 8*j(p)?\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 - -90. Let h = g + 58. Let d = -25.99999795 + h. Round d to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, c: 6}. What is prob of sequence cq?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/236 and 31\/12?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355871 and 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 7*x**5\/120 + x**4\/3 + x**3\/3 - 13*x**2. Factor m(z).\nAnswer: (z + 2)*(7*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/22 - 101\/1111. Do f and 12\/1777 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3416 and 47385044.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -476 + 328. Let g = j - -146.7. What is the third biggest value in g, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/8*8\/(-10)*(-110)\/66.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 (base 14) in base 3?\nAnswer: 122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Suppose 0 + 6 = v - l*q, q + 40 = 2*v. Suppose 0 = -2*n + 3*h + 36, -2*h + 4*h = 2*n - 32. What is the remainder when v is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/405)\/((-1)\/(-33)))\/(40\/180)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11658 is divided by 1796?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -9)\/(15 - (-2 + 7 + -4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-24)))\/b)\/b**(5\/2) assuming b is positive.\nAnswer: b**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 + 22*z**2 - 16*z - 3. Give c(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1178724 or -1178750?\nAnswer: -1178750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -67, -150, -267, -418?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52640 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1818972429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhlb when four letters picked without replacement from {s: 2, c: 1, l: 1, b: 3, h: 2, y: 6}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z**2 - 12*z + 23. Let w be i(4). Let o = w + -117. Suppose 13 = o*v + 9. Let c(a) = 2*a + 1. Give c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135517 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y**3 + 585*y**2 + 578*y**2 + 37*y**3 - 1163*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 29 = y, -3 - 1 = -h - 2*y. What are the prime factors of (-67347)\/(-252) + (h\/8 - 1)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 20. Let x be c(-17). Let k(d) = -4*d + 8. Let f(m) = -m + 1. Let t(y) = x*k(y) - 24*f(y). Let h(s) = -2*s**2. Give t(h(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702 = -120*v - 1782 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695289, -1389304, -2083319?\nAnswer: -2777334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178aa1 (base 11) to base 3.\nAnswer: 111222220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 74 = -3*u, -5*u + 3*u - k + 47 = 0. What is the smallest common multiple of u and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14292903 divided by 66\nAnswer: 4764301\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 2*q**2 - 2*q + 1. Let p be c(3). Let y(b) = -5*b + 3. Let g be y(p). What is g rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:04 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, t: 6}. Give prob of sequence lltl.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (((sqrt(153) + sqrt(153) + -1 - sqrt(153)) + 0)*-5 + -1 + ((sqrt(153) + 1)*5 - sqrt(153)) + 5)**2.\nAnswer: -84*sqrt(17) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/7 (b) 2\/5 (c) -1\/51740 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -115.63153\nAnswer: -462.52612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 12715200339.1?\nAnswer: 12715200338.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -175. What is the third smallest value in 2, 1\/5, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006083681 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*z - 75, -m - 4*z = -28 - 4. Let s(v) = -v**3 + 10*v**2 + 25*v - 9. Let i be s(m). What is the nearest to -0.1 in 30, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48920 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51475 divided by 10295.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -53*q**3 + 793*q**2 - 22*q - 11. Let m(o) = 29*o**3 - 396*o**2 + 12*o + 6. Give -11*m(b) - 6*u(b).\nAnswer: -b**3 - 402*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/20700 and -81\/46.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39247, 158072, 356121, 633400, 989915?\n\"Answer: k**3 + 39606*k**2 - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1872956 and -19\/10.\nAnswer: 9364780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 22*m**2 + 0*m**3 - m + 6*m**3 to the form o*m**3 + i + n*m**2 + l*m and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzlzmllmzlzz. Give prob of sequence mlmz.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**2\/2 - 12479925*v\/2 - 4159977.\nAnswer: 3*(v - 1386659)*(3*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 252, 257, 266, 279, 296, 317?\n\"Answer: 2*x**2 - x + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 12 + d**2 - 40*d**3 + 22*d**3 + 21*d**3 to the form q*d + t*d**2 + b + c*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 - 91. What is the remainder when 29 is divided by (-1)\/l*-2 - 2580\/(-300)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) 15564\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5890)\/(-620) - (-1)\/2) + 6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/60974 and 25\/22962.\nAnswer: 16280058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 30597837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4, 71*w = -4*j + 69*w + 532. Calculate the remainder when j is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0209 + 302.0209. Let s = y + -302. Which is greater: s or 1.75?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + y - 21, -39 = 5*w + 2*y. Let d = w + 10. Put -4, 5, d in decreasing order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4530078 and -4\/315.\nAnswer: 22650390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83019193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*f = -4, 3*j - 6*f = -f + 32. Suppose -5*x + j = n, n + x - 5 = -3*x. Suppose -n*s + 32 = -5*s. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-284)\/(-14) + (-32)\/112. Let i be (-8)\/(-5) - (-6)\/15. Let l(n) = -3*n**i + 20 - o. Let v(r) = -2*r. What is l(v(g))?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 4. Let f = 70 - 64. Let y be (4\/f + 0)\/(2\/3). Put -4, 2, y, h in ascending order.\nAnswer: -4, y, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303*d**4 - 208*d.\nAnswer: -3636*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 71 = 16. Let k(a) = -3*a + 44. Suppose 583 = -3*q + 550. Let u be k(q). Calculate the greatest common factor of u and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from {x: 1, z: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 13. Suppose -84 = -0*i - 6*i. Suppose -4*o - 16 = 0, -5*d - 4*o = -3*o + i. Sort s, d, 1.\nAnswer: d, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 348 = 16 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 6*c**2 + 3*c - 5. Suppose -3*w - 63 = 9*l - l, -2*w = -2*l - 2. Determine o(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 501503*(1 + (-57)\/54). Let n = j + 27869. What is the common denominator of 89\/16 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 9. Let a(n) = 4 - 6*n**2 + 2*n + 7*n**2 + 0. Calculate the smallest common multiple of a(0) and u(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4219*c**4 - c + 7*c**3 - 4224*c**4 + 0*c**3 + 8446*c**4 - 18 to the form x + g*c**3 + l*c + a*c**2 + o*c**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 8*j - 3. Let p = 28 + -21. Is 4 a factor of d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -483.73 + 483.73. Let t = -10\/3 - -4. Which is the nearest to u? (a) 0.2 (b) t (c) 1\/6 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 5*j**2 + 338*j + 1365. Give c(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80422777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2351309.3755 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-57)*1*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/3 + 185*d**2\/3 - 585*d + 525.\nAnswer: -5*(d - 21)*(d - 15)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 16. Let o(l) = l + 3. Let g(m) = -11*o(m) + 2*x(m). Give g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4 + sqrt(700) + -1 - (sqrt(700) + 2 + sqrt(700) + 1 + sqrt(700) + -5)) + -4)**2.\nAnswer: 360*sqrt(7) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rltlthrrthtlttrqrr. What is prob of picking 1 q, 1 h, and 1 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6238672010 = -39*g - 864472010. What is g rounded to the nearest 1000000?\nAnswer: 138000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23713081?\nAnswer: 7, 43, 78781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 32.6. Let t = -11 - -15. Which is the closest to 2? (a) 3 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*q - 5*q + 63 - 301 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -30*i - 39. Sort -15, -1, 5, i.\nAnswer: -15, i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3 + 80958*y**2 + 591728340*y + 601138297800 = 0.\nAnswer: -12890, -1206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -163067094 rounded to the nearest 1000000?\nAnswer: -163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -7*q**4\/24 + q**2. Suppose -4*b + 4 = t, 6*b - b = t + 14. Let v(f) = -7*f - f - 4*f**b + 8*f. Give n(v(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12550 * -309\nAnswer: -3877950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 1, 0.2, 4, -0.4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.38736 * 3684.\nAnswer: -8795.03424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-3)\/(-9)). Let z be 1 + 4 - 0 - x. Let c be 36\/(-21) - (1 - z). Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 3*w - 3. Suppose j - 16 = -4*h, -2*j + 5*h + 1 = 8. Determine a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/22859860 and 28\/423?\nAnswer: 205738740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {m: 5, j: 1, x: 1, l: 3, w: 1, i: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 2:50 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 7*o**2 + 2141*o - 415. Give x(-50).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -797.861 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*o - 34*o - 1620 = 0. Let i be (9\/o)\/((-2)\/(-40)). Solve 2*l - 4*c + 6 = 0, -2*l + i*c = 2*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**2 - 11*c**2 - 5*c**2 + 30*c**3 - 14*c**2 + 10*c**2.\nAnswer: 30*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 + t**2 + 7. Let a(w) be the first derivative of 3*w**4\/2 + 6*w + 80. What is 5*a(q) - 4*d(q)?\nAnswer: 2*q**3 - 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35579789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 43 = -4*d, 18*b - 2*d - 21 = -0*b + 5*b + d - 118 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 8585973?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 - 14105*l**4 + 28175*l**3 + 42325*l**2 - 112780*l + 56380 = 0.\nAnswer: -2, 1, 2, 2819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -80. Let c = 47 + y. Solve 0*w**3 - 6\/5*w**c + 4\/5*w + 2\/5*w**4 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) + 11\/2. Let g(x) = -x**3 - 7*x**2 - 11*x - 6. Let b be g(-5). Put -5, b, m in decreasing order.\nAnswer: m, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -10. Suppose -5*o = -5*n + 2335, -4*o = 6*n - z*n - 1900. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1838 by -22.\nAnswer: 919\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -5. Suppose -z - c = 2*q, 5*z + 0*q - 5*q = -15. Let w be ((-8)\/5)\/(z\/40). Solve -4*t - t - 25 = 0, -5*t - w = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267, -552, -861, -1194?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 a factor of 944168595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(154\/40)*(-266)\/95\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2495288ml in litres?\nAnswer: 0.0002495288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14638919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)\/(z*z*z*z*z**4*z))\/(z**(-8)\/z**11))**38 assuming z is positive.\nAnswer: z**342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -319, -632, -945?\n\"Answer: -313*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j - 4. Let i be q(3). Let u = i - 42. Solve 4*a = k - u, -k + 9 = -3*a - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*x*y**4 - 3*d*y**4 - 2630*d*y**3 + 6*d*y - 141*x - 6*y**2 wrt y.\nAnswer: 48*d*x*y - 72*d*y - 15780*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5510 - 916. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945443577.\nAnswer: 7, 11, 2963, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-1 + (-4825)\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21170 - -34387. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9412 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -11 + (0 - 21) - 33?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q*q*q*q**0)\/(q**1)**(-1\/46) assuming q is positive.\nAnswer: q**(415\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 + 2*t**2 - 21*t + 189. Is x(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**4\/4 + 2*r**3\/3 + r**2\/2 + 2*r - 2. Let f be j(3). List the prime factors of (22 - 8)*(-6)\/f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -6*t - 22, 12 = -3*q - 2*t - 3*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25002 (base 8) in base 2?\nAnswer: -10101000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 106.99953. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 4*s**2 + s - 1. Calculate the least common multiple of x(-3) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -5, -1048\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k + 3. Suppose 0 = 4*p + a - 19, 0 = 2*p - 7*p + 5*a + 30. Let s be r(p). Is 9 a factor of 9 + (-2 + 2)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*p + 0*p - 4 = 0, 4*g - 24 = 2*p. Is ((-12)\/6)\/((-1)\/g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 202, 593, 1286, 2365, 3914, 6017, 8758?\nAnswer: 12221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.0254?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, e: 3, x: 1, d: 1}. What is prob of picking 1 x, 2 r, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b - 1. Let j(r) = 3*r**2 - r - 4. Let o be 0 + (-3 + -5)\/(-4). Let h(g) = o*s(g) - j(g). Give h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 21 = 5*u, u + 3*m - 6 = 6. Let v(k) = -3*k + 3*k + k - u*k. Let q(p) = -4*p**2. Determine v(q(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16332 divided by -4083?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -10, -49, -116, -217, -358?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*u + 89*u + 45. Suppose 0 = 2*w - 4*w + 12. Solve w*f + u = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-13 - -8)*8\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -747, 68, 855, 1614, 2345, 3048, 3723?\nAnswer: 4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -24543\/4 smaller than -6137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26010 and 14.\nAnswer: 182070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:36 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 31. Let f be o(-19). Suppose 1 = n + 5*z + 9, z - f = -n. Find the second derivative of 5*s**5 - n*s - 13*s**3 + 13*s**3 - 7*s**5 wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d - 3*f, -2*f - 8 = -4*f. Let n(k) = 3*k**2 + 11*k - 5. Let c = -17 - -9. Let b be n(c). What is the greatest common factor of b and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -6679*s**8\/336 + s**5\/30 - s**4\/6 - 19*s**3\/2 + s**2 + 145*s - 7. What is the third derivative of n(t) wrt t?\nAnswer: -400740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6193 - -10760. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14980262 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577863181 to the nearest integer?\nAnswer: 24039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -6) + (16 - 19 - (3 - 9))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74781895 - 158*t**3 - 74781895 - 3*t**2 + t**2.\nAnswer: -158*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = o. Let i be (-3)\/(-21) + o\/(-7). Suppose 2*l + 5*j = -i*l + 42, -3*j + 6 = 0. Calculate the remainder when 78 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -15, -21?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/12 + a**3 - 5*a**2 + 2*a. Let r be o(-7). Let q = 558 - 553. Put 1, r, q in descending order.\nAnswer: q, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 387519.9 weeks?\nAnswer: 2712639.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18455860 - -1.8573.\nAnswer: -18455858.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = x - 11 - 3, 4*y - 8 = -4*x. Let d = y + 3. Differentiate -2*v**4 + v**3 - d - v**3 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213217375 plus -52?\nAnswer: -213217427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skaaeekkkkksssa. Give prob of sequence ke.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 9) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.052 and 35.37609.\nAnswer: 1.83955668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - 0.02. Let u = 270 - 269. Does u = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-seven halves of a kilometer?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s + 1. Let g be b(1). Let d be (g\/(-10))\/(-1)*-5. Suppose -w + 18 = d*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 6:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17596, -17605, -17618, -17635, -17656, -17681, -17710?\n\"Answer: -2*v**2 - 3*v - 17591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6164*k - 26. Let h be c(-5). Let t = h + -20235. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, t: 4, o: 3, m: 5}. What is prob of picking 2 m, 1 t, and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14950274477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 34. Suppose 116 = -2*m - 108. Let n = 248 + m. What is the highest common factor of n and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + g**2 - 3*g**3 - 1 - 3. Let s = 2 - -2. Let u(k) = 2*k**3 - 5*k**2 + 3. Calculate s*u(b) + 3*w(b).\nAnswer: -b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)*u)**(2\/53)\/(u*u*u**(-2)*u)**(-13)*((((u*(u\/(u**(-2)\/u*u))\/u*u)\/u)\/u)\/u**(-9))**(-7) assuming u is positive.\nAnswer: u**(-6779\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -3 (c) -45 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -996, -2132, -3268, -4404?\nAnswer: -5540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15017.\nAnswer: 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2625662 divided by -26\nAnswer: 100987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.7 + 45.7. Let y be 46\/(-4)*2*3\/(-15). Put c, -1, y in decreasing order.\nAnswer: y, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**2 - q**3 + 10*q**2 - 30.\nAnswer: -q**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 99*j**2 - 5740*j - 5914. Give a(59).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -521620, -521124, -520298, -519142, -517656, -515840?\n\"Answer: 165*j**2 + j - 521786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvy when three letters picked without replacement from {y: 3, v: 4, q: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 146229*s**2. Let w(v) = -2*v**2. Determine a(w(q)).\nAnswer: 584916*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 1392 = 983. Calculate the remainder when c is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.032 and -5001950.\nAnswer: -5001949.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3010 + -2200231?\nAnswer: -2203241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 34*j**2 + 227*j + 24. Calculate s(10).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5328315*-1\nAnswer: 5328315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 + 2*z**2 + 6*z + 5. Let g be c(-4). Let f = g + -190. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ee (base 16) in base 3?\nAnswer: -22211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**3 + 0 - a**2 - 7 + 5 to j*a + b + y*a**3 + h*a**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o\/(o\/o**6))\/o))\/((o\/((o*o**6)\/o*o))\/o))\/(o**(-2\/3))**(-48)*((o\/o**(2\/3))\/(o**(2\/23)*o*o))\/(o**2)**(3\/10) assuming o is positive.\nAnswer: o**(-11162\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1404653 millilitres?\nAnswer: 0.0001404653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = -2*d + 24*z + 8253, 5*z - 4120 = -d. What are the prime factors of d?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1422.55 take away 5?\nAnswer: -1427.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -59. Which is the nearest to 1? (a) p (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 70, 0, 15, 5, -1, 3 in decreasing order.\nAnswer: 70, 15, 13, 5, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 + 141. Solve 4*k - 3 = -3*d + 1, -i*d = k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5396 and 68047607.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -12022116?\nAnswer: 12022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 2*v**2 - 3*v**2)*(18 + 48*v - 18)*(4 - 2*v**2 - 4).\nAnswer: 96*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, e: 1, o: 1, u: 1}. What is prob of picking 1 o and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12*j - 21 = 11*j, 5*x = -4*j - 35. What is the tens digit of (476\/x)\/((-2)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -478, -789, -1146, -1543?\nAnswer: -1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 2*s - 5*s - 9*s + 20*s + 5*s + 3*s - 3*s + s + s - 4*s + 2*s - 3*s - 2*s + 3*s + (3*s - s + 0*s)*(-1 + 0 + 0) + 3 - 3 - s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) 1\/15 (c) -2\/15 (d) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-12)\/72)\/((-5)\/960*-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/29, 38, -1\/3?\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - r - 15, -6 = t - 5*r - 0*r. Calculate the highest common divisor of t and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 65*i**3\/3 - 134*i + 94. Differentiate d(y) wrt y.\nAnswer: 130*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/((1071\/216)\/(-17))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h. Suppose -2*x - 4 = 3*m, -m + 9 = -6*m - x. Let l = m - -2. Is h at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (18 + (-47804)\/1064).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnza when four letters picked without replacement from {t: 3, o: 1, z: 10, n: 2, a: 1}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-10 - -4) - 1*5. Solve 0 = 3*m - s*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3862 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q - 1. Let m be h(-1). Let a be m*-1*3\/6. Let s be a + -2 - (-1 + 1). Solve y + 22 = -5*l, -s*y = -l - 4*l - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l. Let p = 7 + -13. Let z(v) = 4*v. Let x(t) = -9*t. Let n(k) = 8*k + 3. Let c be n(-2). Let r(f) = c*z(f) + p*x(f). Determine s(r(q)).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 - 190*z**3 + 2260*z**2 - 6440*z - 23520 = 0 for z.\nAnswer: -2, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3652?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -605, -846, -1465, -2642, -4557, -7390?\n\"Answer: -30*l**3 - 9*l**2 - 4*l - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -655*z**3\/3 + 340595*z**2\/6 - 168995*z\/3 - 1295\/6 = 0.\nAnswer: -1\/262, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -h - 4, 2*i - 50 = -4*h - 0*i. Let g be 0\/2 + (h - 9). Let t be 1 + -1 + g + 3. Solve -3 = t*w - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20866, -20868, -20872, -20878, -20886, -20896, -20908?\n\"Answer: -q**2 + q - 20866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/151 - -1732\/1661. Calculate the common denominator of k and -39\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**3\/6 + r**2 + 47*r. Let j(z) = -1. Let o(w) = 6*j(w) - l(w). Give o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14244*d**3 - 17*d**2 - 3*d**4 - 14217*d**3 - d - d + 1 + 21*d**2 in the form i*d**2 + r*d**3 + m*d + j*d**4 + g and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129853?\nAnswer: 129853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(190) + sqrt(190) + 1*(1*sqrt(190) + sqrt(190)) + -1*sqrt(190)*-1)\/(-3*(sqrt(200)\/sqrt(5) + sqrt(40))\/sqrt(4)) + -1)**2.\nAnswer: 5*sqrt(19)\/3 + 547\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/11)*w**(11\/6))**(2\/39) assuming w is positive.\nAnswer: w**(133\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkn. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 - 3*g - 2. Let f be ((-30)\/20)\/((-3)\/10). Determine d(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298 times -0.01683\nAnswer: -5.01534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2808.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 11:21 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*z + 23, w - 2*w = 1. Suppose z*p - 110 = p. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d + 377. Let m be k(-6). What is the highest common factor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 2:06 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17864 less than 253?\nAnswer: 252.82136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -155. Is h at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2320669, -2320674, -2320679, -2320684, -2320689?\n\"Answer: -5*z - 2320664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rryr when four letters picked without replacement from ryjyrrylyyyrjy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84969 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.755211ug in kilograms?\nAnswer: 0.000000007755211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4 - 16. Let j be t\/(-6) + (-50)\/(-6). Suppose 0 = -0*z - z + 4*r + 84, 4*z + r - 285 = 0. What is the greatest common divisor of z and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -32.1371034528.\nAnswer: -31.1371034528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/5 + 14*q**3\/5 + 36*q**2\/5 = 0. Calculate q.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 5*n = 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**3\/3 - y**2\/2 - 3*y. Let i be q(-2). Solve -c - c - i*t = 0, -4*c + t = 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-936)\/(-332))\/(15\/2). Let z = b + 2\/83. Let j = 4 + -6. What is the third biggest value in z, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155\/18 + -53\/6. What is the nearest to -2\/47 in -3, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from jttttjjjtjtjjjjttt?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12321 is divided by 6150.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 128. Let h(i) = 245. Let r(d) = h(d) + 2*k(d). Calculate r(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 645109 or 645128?\nAnswer: 645109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {c: 2, o: 1, y: 4, a: 3, w: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(((-720)\/(-20))\/4)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6332, -10812, -15298, -19790?\n\"Answer: -3*k**2 - 4471*k - 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {j: 3, k: 3, g: 2, i: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9447 + -4539. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20+-5414\nAnswer: -5394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b**2 + b + 1. Let f be k(2). Let t = -182 + 181.69. Let w = t - 0.09. What is the second biggest value in -2, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 - 87. Suppose -d = d - z. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3 = 2*l - 9, 3*l = d + 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:10 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let v(i) = -155*i**2 - 85. Let m(q) = -11*q**2 - 6. Let p(c) = 85*m(c) - 6*v(c). Determine u(p(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.106 - -0.706. Let c = 0 - 1. What is the closest to -2 in l, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-16\/9)\/(l**(2\/13)\/(l\/l**(-9))) assuming l is positive.\nAnswer: l**(944\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1010000101011 (base 2) to base 15\nAnswer: -17e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1185 + 2973. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q - 13. Let r be s(10). Find the third derivative of r*c**2 - 40*c**6 + 23*c**2 + 53*c**6 - 25*c**6 wrt c.\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04078075065 minus -0.3?\nAnswer: 0.25921924935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 4. Let w(g) be the third derivative of 0*g**4 - 1\/30*g**5 + 0 + 0*g**3 - 33*g**2 + 0*g. What is w(y(m))?\nAnswer: -2*m**2 + 16*m - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j + 4*a = 17, 4*j = -4*a + 16. What is the hundreds digit of -206*(8\/(-4) + j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34 + 2*n + 202 + 248 + 441*n**2 - n - 125 wrt n.\nAnswer: 882*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 > -146\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 6) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 4, -19.54036?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3460\/(-490) + 7)*7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 61*b**2 + 28*b - 1756. What is p(61)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 317, -37, -585, -5 in descending order.\nAnswer: 317, 1, -2, -5, -37, -585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500)*1)\/(sqrt(6) + (-1*sqrt(6) + sqrt(6))*-4))\/((sqrt(162)*3*-3 - sqrt(162))*-3).\nAnswer: sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -82*g**3 + 3*g**2 + 3*g. Let a(x) = 165*x**3 - 7*x**2 - 7*x. Determine -3*a(d) - 7*y(d).\nAnswer: 79*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8315093*f**2*s + 3734*f*s + 2*f + 2*s + 24 wrt f.\nAnswer: -16630186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/((-1)\/(-9208490)). Suppose -2*l - f = -10483396. What is l rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2016*j - 20. Give k(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*u = -2*m + 72, -2*m + 4*u + 134 = 0. Let w(j) = 32*j**2 - j**3 - m*j**2 + 16*j**2 + 7 + 2*j + 6. Calculate w(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 241 = -5*h, 3*r - 4*h + 0*h = 373. Let y = r - 46. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvaaavv. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172401 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*r - r**2 - 3 + 6 + 2*r**2 as u*r**2 + j + v*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 310841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by -6?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) -4\/11 (c) -1\/15911 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + (5 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 49*m**2 + 44*m + 11. What is n(48)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-9))\/5*9\/20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/107? (a) 5 (b) -1871 (c) 0 (d) -1\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55656.83 centuries to decades.\nAnswer: 556568.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2743892 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 7. Let w be d(-6). Let u be 0 + w*1\/(-3). Let a = 0.66 + -0.76. Sort u, a, 1 in ascending order.\nAnswer: u, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**2 + 15*u**2 + 14*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*v + 79 = 7*v, d + 4*v - 81 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2014*x**2 + 156*x - 887. List the prime factors of k(6).\nAnswer: 13, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -17. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**5 - p**3 - p**2 - p - 1. Let b(w) = -3*w**5 - 10*w**4 - 7*w**3 - 2*w**2 - 2*w - 2. Let k(z) = 2*a(z) - b(z). Factor k(n).\nAnswer: 5*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1374435 (base 8) to base 15.\nAnswer: -7aebd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/(7\/(-105))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 1 + 3*u**3 + 0*u - 4*u**3 + 2*u + 0*u**2 to the form j*u**2 + g*u**3 + y*u + r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76099 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 111126 = 2*g, -4*g + 5*c + 95696 = -126551. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 2*u + 2 + 2 + 0*u.\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 316*z + 49*z**2 + 317*z - 2 in the form m*z**2 + j + b*z and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8492*q**6 - q**2 + 9623.\nAnswer: 1019040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 186322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1053) - sqrt(1053))*-2)**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80)*-1)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65818441.\nAnswer: 13, 17, 431, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135658955 to the power of 1\/2, to the nearest integer?\nAnswer: 46213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 - 11 = -t, 0 = 3*t - 4*u - 73. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010100001011 (base 2) in base 15?\nAnswer: -18e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38896, 155619, 350154, 622501, 972660, 1400631, 1906414?\nAnswer: 2490009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2034 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:23 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Simplify (4 + sqrt(15)\/sqrt(3) - (sqrt(5) - (sqrt(5)*1)**2)*-3) + -4.\nAnswer: -15 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/15059 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*q - 357 + 72, q = -u + 87. What is the highest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2120.57542 - 0.42458. What is the third smallest value in 2\/9, -3, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**2\/2 - 2*c. Let w(q) = -q + 2 + 4*q + 2*q**2 - 2*q - 2*q. What is 4*t(z) + w(z)?\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 1017043?\nAnswer: 1017042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2660*l - 221640 = 1325*l + 1325*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -1)**2 + -1.\nAnswer: -12*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55438?\nAnswer: 2, 53, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 97.17510944 and -0.08?\nAnswer: 97.25510944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 + 3*a - 1\/10*a**5 - 5\/42*a**4 + 0*a**2 - 1\/35*a**6 - 1\/21*a**3. Factor k(s).\nAnswer: -2*s*(s + 1)**2*(3*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/168819 and 1\/780?\nAnswer: 43892940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 244, -0.5, 0.4, 44, 39.6, -1 in descending order.\nAnswer: 244, 44, 39.6, 0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21*0.05\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 8, 5*c + l = c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 389 - 388.793. Round m to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18926 + 18928. What is the closest to d in 2\/9, 94, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**3 + k**2 + 2*k + 1. Let a be o(-1). Suppose 0 = 5*z - 58 + a. Suppose z = -3*q + 4*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 7*u + 26. Let n be a(-11). Find the third derivative of 4*o**4 + 21*o**2 - n*o**5 + 133*o**5 - 67*o**5 wrt o.\nAnswer: -240*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41868, -41872, -41886, -41916, -41968, -42048?\nAnswer: -42162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.3 - -18.7. Which is the closest to 1\/2? (a) 1\/6 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t - 304. Is (t\/(-8))\/(1\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(5 + 0 - 4)*(0*m - 2*m + 0*m)*(-3 - 2 + 3)*(0 + 2 + 0)*(-m + 319 - 441 + 234) to w*m + g*m**2 + c and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -460, -473, -496, -529?\n\"Answer: -5*j**2 + 2*j - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016034733.\nAnswer: 7, 17, 8538107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(11\/(-495)*-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6800)\/(-3740)*44\/5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1911 + -1910.8402. Let x = f + -0.16. What is x rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1741*v**2 - 353*v**3 + 34 + 1747*v**2 + 3 - 3488*v**2 wrt v?\nAnswer: -1059*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005701651687 rounded to five decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7983.\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4350*g**2*q**2 + 9*g**2*q - 3*g**2 - 2*g*q**2 - 398*g*q + 14*q**2 - 2*q wrt g.\nAnswer: 8700*q**2 + 18*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718902.6km to nanometers.\nAnswer: 718902600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) -0.05 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14340, -14341, -14342, -14343, -14344?\n\"Answer: -y - 14339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 619*n - 347*n - 53*n to c*n + p and give c.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 29*w**2 - 4*w - 42. Let g(c) = c**2 - c - 10. Determine -4*g(n) + x(n).\nAnswer: 25*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8380297 millennia?\nAnswer: 10056.3564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/9)*l\/l**(-7) assuming l is positive.\nAnswer: l**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24))\/(sqrt(8)*-3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*y**3 + 60*y**3 + 53*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fssf when four letters picked without replacement from {s: 3, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:40 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(8\/5)\/h*h**(-12))\/((h**(1\/15)\/h)\/h**(-16)) assuming h is positive.\nAnswer: h**(-397\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 171 - 176 = 0. Is 58 a factor of (-3880)\/(-5) + -1 - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 71*w**2 - 27*w + 270. Calculate n(-36).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(108)*-1 - (4 + sqrt(108)*-1 - sqrt(108)))**2*5.\nAnswer: -1920*sqrt(3) + 34640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(8\/(-56)) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + (-2 - -3) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -19*j - 46. Let q(c) = 189*c + 455. Let h(l) = 49*k(l) + 5*q(l). Let n(f) = -3*f - 4. What is 2*h(u) + 11*n(u)?\nAnswer: -5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741682403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -21691.64 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1259 = 5*v - 1371, -j + 3*v - 56 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 450?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 15*j**2 + 128. Let p(t) = 12*t. Give y(p(s)).\nAnswer: 360*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**10\/1260 + u**6\/60 + 2*u**3\/3 - u**2. Let n(x) be the first derivative of w(x). Find the third derivative of n(m) wrt m.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/553 and -99\/41080.\nAnswer: 287560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Suppose 8 = -2*n + 4*n, 5*n + 16 = v*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. What is the second derivative of s + 4*s + s - 5*s - a*s**5 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627627463.\nAnswer: 3, 1559, 187273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 2*v + 3. Let m be i(4). Suppose -74*p - 15 = -77*p. Sort -1, m, -3, p in descending order.\nAnswer: p, -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -53, -205, -517, -1043, -1837, -2953?\nAnswer: -4445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 18*j + 10. Give k(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -404, -913, -1408, -1883, -2332, -2749, -3128?\n\"Answer: b**3 + b**2 - 519*b + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + 3. Let o(r) = -2*r**3 - 7*r**2 - 4*r - 24. Let b be o(-4). Let k(w) = 9*w**2 - b - 11 - 13 + 39. Calculate -3*k(p) + 7*l(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -13*w**3 + 9*w**2 + 9*w. Let q(p) = 6*p**3 - 4*p**2 - 4*p. Suppose 0 = -11*t + 3*t - 32. Calculate t*l(j) - 9*q(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (14 + -19 + 6 - -5)) + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11947333.3 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422.885 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5421\/11 + 491. Is w > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2847465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -36. Suppose j + 17 = 6*o. Let x(n) = n**3 - 6*n**2 + n + 5. Calculate the smallest common multiple of o and x(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1250\/7, -0.3, -64 in decreasing order.\nAnswer: 1250\/7, -0.3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -48. Suppose 5*v - g*d = 6, -3*d - 1 = -5*v + 3. What is the third derivative of 26*y**6 + 2*y**2 + 16*y**2 - 32*y**v wrt y?\nAnswer: 3120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*a - 264, 5*a - 58 = f - 196. Is 10 a factor of (-16)\/f - (-178)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32124156 and 1107.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 576601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 2}. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00967 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -854 - 2839*q - 3689*q - 77*q + 852 + 563*q to the form g + a*q and give a.\nAnswer: -6042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d. Let o be h(-8). Let y be -6*15\/o + -2. What is c in 1\/4*c**4 + 0 - 1\/4*c**2 + 1\/4*c**3 - y*c = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -1604\nAnswer: -4\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9033, -9, -12, -1, 4\/7 in descending order.\nAnswer: 4\/7, -1, -9, -12, -9033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6203986526 to the power of 1\/2, to the nearest integer?\nAnswer: 78765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/10177740 and 39\/43538110.\nAnswer: 783685980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x - 6. Let p(v) = v**2 + 12*v - 13. Let c(b) = 2*b**2 + 25*b - 27. Let o(y) = -6*c(y) + 13*p(y). Calculate o(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47535311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13*18\/(-156)*(7\/(-12))\/(-7)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(153).\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 268940 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 14. Let b be ((-22)\/(-33))\/((-1)\/9). Let x be l(b). Let i = 113 - x. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 2781, 1\/5?\nAnswer: 2781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)*j)\/j)\/((j*j*j**(-1\/2))\/j)*(j**5*j)**19 assuming j is positive.\nAnswer: j**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1530\/2550)\/(-1 + 41\/20)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.3 - -32. What is the biggest value in d, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 5*i + 54*i**2 - 7 - 56*i**2 + (-i + 2*i - 3*i)*(0*i + 3*i - 5*i).\nAnswer: 2*i**2 - 4*i - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010110001100110 + 0?\nAnswer: 11010110001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.16 (b) -0.1 (c) 39\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 4:24 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**3 - 32*c**2 + 5*c - 87. What is x(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 0.28 (c) -9 (d) -2\/5 (e) -28 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107550759 by 1064859.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146 + 17*i + 20*i + 16*i - 51*i to the form l*i + n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/47? (a) -1\/2 (b) 2 (c) -1\/5 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*x + 486 = 495*x - 704 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 10:50 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 122 + 3 + 777*w - 124 as k + b*w + x*w**2 and give b.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -473 - -20811\/44. Let f = -3\/11 - l. Sort 3, f, 1\/3 in ascending order.\nAnswer: f, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(6\/25))\/i*i\/i**(-27))**(-29\/5) assuming i is positive.\nAnswer: i**(-20126\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 77, 67, 43, -1, -71?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k - 1. Let w(j) = 2*j**2 + 4*j - 4. Let b(a) = -14*a - 1. Let m be b(-1). Suppose 5*u + m = -7. Let q(p) = u*x(p) + w(p). Calculate q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 3 = -11*c. Suppose s - 18 = -c. Suppose -4*w + s = 3. Solve -2*v + 5*l + 7 = 0, w*v + 3 = 3*l - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1356.4 and -31.629?\nAnswer: 1388.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**8\/5880 - 2*a**6\/315 + 4*a**4\/21 - 2*a**3\/3 - 9. Let s(b) be the third derivative of l(b). Solve s(n) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**2 + 14*w**2 + 2*w - 2*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3235.87 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 57 = -3. Suppose -11 = -2*c + j. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 - 3\/70*y**5 - 5\/21*y**4 - 2\/7*y**2 + 12*y - 3\/7*y**3. Factor v(f).\nAnswer: -2*(f + 1)*(f + 2)*(3*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -424b351 - -5?\nAnswer: -424b348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16094430 by 894135.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 176850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -34160?\nAnswer: -34161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.3 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-1)\/10)\/(12\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1353\/2 + 718. Let a(v) = v**2 + 21*v. Let b be a(-20). What is the common denominator of 5\/b - (-242)\/56 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3894 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/(h\/(h\/(h\/(((h*h\/(h**(-2\/71)\/h)*h)\/h)\/h))*h))*((h*h**(2\/55)*h*h)\/h)\/h**8)**29 assuming h is positive.\nAnswer: h**(-1669443\/15620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093*y**2 + 798*y**2 - 543*y**2.\nAnswer: 1348*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 44*g - 130. Let i(x) = -x - 2. Calculate the remainder when z(-3) is divided by i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 12*k - 10*k + 8*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 131121030010 (base 4) to base 10\nAnswer: 7705348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45\/2? (a) 0.575 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k - 9 = 0. What is the closest to 1 in 56, k, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7244\/17 - -426. Let f be 5\/(30\/(-8)) + 1. What is the closest to f in z, -4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -325 - -330. Suppose -h - 3 = y*f, 0 = f - 11*h + 14*h + 9. Which is smaller: f or 2\/435?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 11. Let f be r(12). Let u = 11 + f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1. Let d(x) = 9. Let m(f) = -2*d(f) - 21*q(f). Let r(t) = t + 0*t + 20239 - 20237. Give -2*m(v) + 3*r(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 97 = -5*j. Suppose -27*v = -j*v + 40. Solve -4 = v*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 249952934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*l + 21*l**2 - 57*l + 39*l - 101*l**3 wrt l?\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 6*t - 7. Let w(n) = 5*n**2 - 25*n - 25. Let b(f) = 15*o(f) - 4*w(f). Find k such that b(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (12 - 6 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20*z + 16*z - 4 = 0, 0 = -2*h + 3*z - 2. Which is smaller: h or 0.71?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62.27 + 62. Let i = n - -0.27000159. Round i to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 4, 5, -1 in ascending order.\nAnswer: -1, 4, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/(-15))\/1)\/((-6)\/(-18))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48477*l**2 - 49013*l**2 + 146527*l**2 - 49025*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 0*w + 3*w + w - 5*w + 2*w + w - 2*w + (0 - 2*w + 0)*(0 - 3 + 2) - 3 + 2*w + 3 + 5*w - 5*w - 2*w)*(4 - 11 + 39).\nAnswer: 128*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -40*w**2 + 1013*w + 91*w - 340*w**2 + 40*w**3 - 82*w**3 + 46*w**3 = 0.\nAnswer: 0, 3, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1360\/6011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o = -39*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**5\/o*o)\/o)*o*o**1*o)\/(o**(-1\/3))**(-1\/2))**(-20) assuming o is positive.\nAnswer: o**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -90, -147, -204?\n\"Answer: -57*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 353260 + -354978.777. Let g = -1717.377002 - x. Let n = 1.4 - g. What is n rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 44. Find the common denominator of (-33)\/(-54) - (0 - -1) and (-62)\/q - ((-3)\/2 - -3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.546 + -6.546. What is the closest to y in 3, 4\/9, 2\/37, -2\/5?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 40. Suppose 3*f - 4*y + 2 = 0, y = -0*y + 2. Let w(n) = 28*n**2. Let q be w(f). What is the highest common factor of q and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*p = 405, 0 = 9*b - 4*b - 2*p + 380. Let l = 84 + b. Solve l = -f + y, 4*f + 3*y + 23 = 6*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*r + a, r - 7*a + 3*a = 3. Let k(j) = -33*j - 4. What is the units digit of k(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -863, 4, -5, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-20)\/160 + 110\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1106839, -2213717, -3320595, -4427473, -5534351, -6641229?\nAnswer: -7748107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*k - 511577 = -499537 for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 755145904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 380422 or 4945500\/13?\nAnswer: 4945500\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6131 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -2. Let h = o + 25. Suppose -40 = h*n - 7*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 4650.\nAnswer: 32550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(-66)\/22. Solve -2*j = f*k, 5*j + 2*k - 7 + 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1227 - 367. List the prime factors of f.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 16*i**2 - 3*i - 41. Let o be b(-16). Let w = -3 - -3.5. What is the nearest to 0.1 in 3, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6907*-0.2.\nAnswer: 1381.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.41 and -16658.\nAnswer: -6829.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.98963*-1.\nAnswer: -4.98963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 52.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srshbsnhsssrbhhs. What is prob of sequence sn?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2 - r**3 + 2*r**3 + 8 + 0. Let i(a) = 5. What is 6*i(d) - 5*y(d)?\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Let u(h) = 4*h + c + 3*h - 3*h - 5*h. What is u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27512430 to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*p, v + 3*p + 15 = 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 2 = 12*w. Suppose a = -w*a - 6. Suppose -2*b = 3*b - 5. Put a, b, 2\/19 in descending order.\nAnswer: b, 2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 11*u**3 - 6*u**3 + u**3 + 2*u**3 - u**3 + (3*u**3 - 4*u**3 + 0*u**3)*(1 + 5 - 2) as c*u**2 + l*u**3 + f + d*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 8*f - 3*d + 13 = 0, 0 = 3*f + 3*d - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 2*x**2 - 3*x + 2. Suppose 5*a + 5*y = 3*y + 39, -2*a = -3*y - 8. Suppose a*t + 9 = 4*t. Let u be r(t). Sort -2\/7, -0.3, u in descending order.\nAnswer: u, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2*(-2)\/(-12)). Let o(j) = -j**2 + 4*j - 1. Let u be o(3). Suppose u*r = -r + q. Calculate the lowest common multiple of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7*(24 - (-1029)\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Let d(b) = -b**3 - 4*b**2 - 5*b - 4. Let a be d(-3). Let w(z) = -z**3 - 6*z**2 - 4. Let m be w(-6). What is the closest to c in a, -0.3, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 127 + 4*f**2 - 6*f**2 + 2*f**3 - f**3 - 263 + 149 in the form g*f + b*f**3 + k + h*f**4 + l*f**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -29*u - 2. What is the least common multiple of 27 and w(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + o**3 + 5*o - 6*o**2 + 183 + 157 - 490 + 148. Give i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 237*a**2 + 328*a + 4. Let x(l) = -231*l**2 - 328*l - 5. Let i(p) = -5*k(p) - 4*x(p). What is the second derivative of i(n) wrt n?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37\/153 + -1\/51. Factor 0*r + 0 + m*r**2.\nAnswer: 2*r**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttzttzzototqqtttqt. What is prob of picking 2 q?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.83907 millilitres?\nAnswer: 0.07483907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 320*j**5 - 41520*j**4 + 1624005*j**3 - 19992350*j**2 = 0.\nAnswer: 0, 239\/8, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111000100000111111?\nAnswer: 111000100001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/6)\/(12 - 6566\/546). Let l = -37 + 92. Suppose -3*x + p = -l. Is 40 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87719580?\nAnswer: 2, 3, 5, 13, 19, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -5, 0.13, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 5:37 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 14. Let v be i(5). Suppose -10 + 28 = -v*c. What is the smallest value in c, -2\/39, 0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6927*b - 6927*b + 3*b**3 - 2*b**2 - 2*b**2 in the form r*b + z*b**2 + q + t*b**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/125743114 and 121\/179633020?\nAnswer: 1257431140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*u - 200508 = 67*u. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(2000) + 4)**2 - ((sqrt(500)*1 + 1 + -4)*-6)**2.\nAnswer: -10308 + 1840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 1733 - 619. What is the highest common factor of r and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/20*p**5 + 10*p + 1\/4*p**4 + 0 + p**2 + 1\/2*p**3. Let f = 3 + 1. Calculate t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/165*5)\/((-18)\/27)*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3*f - 2. Let w(o) = -o**2 - o. Let n(i) = -m(i) + 3*w(i). Let d(t) = -1. Let a(b) = -d(b) + n(b). Find the first derivative of a(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 23*n - 197 - 5*n + 189. Let v(p) = 17*p - 7. Calculate 6*c(m) - 7*v(m).\nAnswer: -11*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-14))\/((3750\/(-175))\/25)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9882.529 to the nearest ten.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 + 4*y. Let g be -5*(-8)\/60*(-120)\/(-16). Let d(x) = -4*x**3 - 4*x. Determine g*d(l) + 6*w(l).\nAnswer: -2*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -4 (c) -0.05 (d) 5.6 (e) -5 (f) 43 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/4)*c*c))**(2\/23)*c**(3\/8)*c**(-1\/3) assuming c is positive.\nAnswer: c**(-37\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*n**3 - 26*n**3 - 6 + 19*n**2 + 8)*(0 + 1 + 1).\nAnswer: -6*n**3 + 38*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-4 - (19 - 16)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 5:16 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/138*(-6)\/(-8). Which is the closest to o? (a) -2\/7 (b) 3 (c) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 1. Let t be v(3). Suppose 6 + 0 = 3*l, -t*j + 4 = 2*l. Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.4592 - -12.5576. Let q = -4867 - -4927. Let m = q - r. Round m to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*l - b, 5*l - 5*b + 25 = -0*b. Let a = l + 12. Let d(i) = -5*i**2 + i**2 + 3*i**3 + 3 - 2*i**3. What is d(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:48 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/3)))\/f*f**(-9)*(f**(-2)\/f)**(-1\/4)*(f**(1\/3))**(-45)*(f*f\/((f*f\/(f\/((f\/(f*f**1*f*f*f))\/f*f*f)*f*f))\/f))**5 assuming f is positive.\nAnswer: f**(137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 9*m**2 + 650 - 1292 + 640 + 10*m. What is g(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/10)\/((144\/60)\/(-6)). Which is smaller: c or 1\/474?\nAnswer: 1\/474","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 6:02 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/45)\/i**(22\/3))**16 assuming i is positive.\nAnswer: i**(-5264\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + l + 1. Let q(r) = 7*r**2 + 2*r + 2. Let s(t) = -2*i(t) + q(t). Let m(y) = 167 + 9*y**2 - 167. What is m(s(d))?\nAnswer: 225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 6, d: 1, a: 2, v: 9}. Give prob of sequence va.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.96654 hours to microseconds.\nAnswer: 93479544000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 865221511 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54849 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 1. Let b(i) = 23*i + 12. Let g(z) = -b(z) + 6*w(z). Let l(a) = -10*a - 5. What is -5*g(m) + 6*l(m)?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**5 - 8*y**3 + 12*y - 11 wrt y?\nAnswer: -80*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let l = -5 + 7. What is the greatest common divisor of o and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b1 (base 14) to base 4.\nAnswer: -321203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-89)\/9*30\/75. Let q = -32\/9 - n. Let f(l) = l - 1. Let c be f(2). Is c greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = -0*g - g, 3*g = 2*h - 22. Let q be (105\/(-42))\/(2\/g). Suppose -18*b + 6 = -21*b. Sort q, -25, b in increasing order.\nAnswer: -25, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 29*m**2. Let d(o) = -17533*o**2. What is p(d(v))?\nAnswer: 8914776581*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -2. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 18*k - 165. Calculate j(26).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -285*u + 4794. Give v(17).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 v when three letters picked without replacement from eoevod?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133607.2 and 137.\nAnswer: -18304186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 4) to base 11\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 2*d - 22. Let m be y(-6). Let w = -35 - -53. Let t be (-15)\/10*4\/w. Sort t, m, 0.5.\nAnswer: t, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28705, 26123, 23541, 20959, 18377?\n\"Answer: -2582*r + 31287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 2*s - 64. Let n be v(-7). Let y = 0.07 + -0.37. Let k = 0.04 - -0.06. Which is the closest to n? (a) k (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -893*h**2 + 656*h + 20. Let f(o) = 2232*o**2 - 1640*o - 48. Let i(j) = 5*f(j) + 12*t(j). What is the second derivative of i(v) wrt v?\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8019*z - 88213. Give w(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = a - 517, 0 = a + 2*o - 466 - 47. Let n = -256 + a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 15*h**2 + 10. Suppose -2*r + 5 = -3*r - 5*k, 3*k + 12 = 0. Determine w(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15090 to the nearest one hundred.\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 3. Let d be y(-3). Suppose -d*q + 67 = -11*q. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14372160 and 50160.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*g**2 - g**3 - 65*g**2 + 118*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 4*z - 5*d + 173, 0 = z + 5*d + 137. Let s = -55 - z. Let l = s + 9. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from {v: 2, l: 2, i: 14, k: 1}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 546665308 divided by -273332654\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20210112 (base 4) to base 15\nAnswer: -a5e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201220002 (base 3) to base 9.\nAnswer: 21802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (792\/(-32))\/(70\/24 - 3). Suppose 0 = 3*l - 3*m - s, -l + 3*m + 24 = -83. Put l, 2\/3, 0.4 in ascending order.\nAnswer: 0.4, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + b + 4*b + 7*b.\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3 - 302142*b**2 + 6344561*b - 6042420 = 0. Calculate b.\nAnswer: 1, 20, 302121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1056)\/(-6))\/(-44))\/((-32)\/(-2))*(-40)\/14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - (-1 - (2 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-4)\/(-24) + (-33)\/(-18). Let v(k) be the first derivative of -1\/2*k**o + 5*k + 1. Calculate v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 10*g**3 - 14*g**2 + 59*g**4 + 58*g**4 - 116*g**4 + 6*g**3 + 3 + 37*g**2 to w*g + h + r*g**3 + m*g**4 + o*g**2 and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094 is divided by 1086.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23\/8 of a tonne?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or 1\/501?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296433573 a multiple of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 10*w - 6. Let g be u(9). Suppose g*y - 14 + 5 = 0. Suppose 0 = 2*z - 11 - y. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/13))**(-5)*(u**(-5\/9)*u)\/u*u**(28\/5) assuming u is positive.\nAnswer: u**(-199\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122915254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa4766 (base 11) to base 6.\nAnswer: 203432244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1840 + 1842. Suppose 3*v = 11 - 2. Factor 0*n - 1\/3*n**v + 0*n**h + 0.\nAnswer: -n**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91500598921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. Let t = -1585428.2000045 + 1585434.2. Let k = o - t. Round k to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 10, -5*t + 1434 = 3*o + 250. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((12 + 0 + -11)*(-15)\/51).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 535782143 by -810563.\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 8, 4*q - 2*t - 60 = -4*t. Let y be 2\/18 + (-53741)\/(-549). What is the highest common divisor of q and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*w + 75, -3*w + 5*k - k = 90. Let r = w + 16. What are the prime factors of (0 - r) + (-3)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 46. Determine z(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(2)*-3*-5 + sqrt(2)))**2 - (sqrt(175) + 5)*-1.\nAnswer: 1287\/256 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222092605.\nAnswer: 5, 61, 4006861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42562 and 2054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p + 4*p - 3*p in the form t + l*p and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 868661 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 55 = 2899. What is the remainder when n is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 185.\nAnswer: -8\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4 + 129\/32). Let y be 9\/12*-3*i\/(-180). Is y at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67443 + 6204681\/92. Let s = -6031\/2 - -3052. What is the common denominator of s and d?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281333349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*9\/2*(-1100)\/330. Put -0.3, -0.2, q, 0.02, 2\/5 in ascending order.\nAnswer: -0.3, -0.2, 0.02, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00184237 rounded to five dps?\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 728 - 350. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 w when four letters picked without replacement from {l: 11, w: 9}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(16\/40 + (-1 - -1)). Suppose 0 = g + 2*o - o - 4, -p*g = 5*o - 17. Suppose v = 3*v - 2*b - 38, -2*v + g*b + 42 = 0. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 0 = -w*f + t, -3*f - 2*t - 3*t + 18 = 0. Which is greater: -2\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**7\/735 - f**6\/105 + 11*f**5\/105 + f**4\/21 - f**3 + 418*f**2. Let i(z) = 0. Calculate z.\nAnswer: -7, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36776981 + -2909\nAnswer: -36779890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*n = 4*t - 13, 5 = -3*t - 5*n. Let o(k) = -k**2 - 11*k - 10. Let l be o(-8). Let u = l - t. Calculate the lowest common multiple of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741817?\nAnswer: 19, 39043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/66 and 25\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -576, 1\/4, -0.5 in increasing order.\nAnswer: -576, -0.5, 0.08, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2)*-1)\/(3*(-18)\/432)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (8 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(2 + sqrt(2448)*-1).\nAnswer: -10 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251\/2590 + -4\/1295. What is the nearest to -1 in -9\/7, i, 4\/3?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 - 8 = 0. Suppose -1 = -2*t + d*a + 3, -4*t + 3*a = -28. Suppose 0 = -5*o - 28 + 228. What is the highest common divisor of t and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*u + 535*u + 44459 + 7130 = 8088 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:55 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/120 + 11*t**5\/60 + 5*t**4\/12 + 5*t**3\/2 - 58*t**2 - 206*t. Let o(r) be the first derivative of l(r). Calculate o(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*c + 2 - 4, -5*r = -c + 10. Suppose -v + 14 = -3*a, -5*v + 0 + 20 = -5*a. Let o = v - r. What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1167584275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.4, -1, 67, 0.15 in descending order.\nAnswer: 67, 0.4, 0.15, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.0904361s?\nAnswer: 0.018173935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -4*w**3\/3 + 2*w - 162. Let n(c) = 25*c. Give 4*n(j) + 14*z(j).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53832334 is divided by 224?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 - 59*z**2 + 22 + 3 - 2*z**2 + z**2 + 0*z**2 + z**2 + z**2 - z**2 + (4 - 4*z - 4)*(-2*z + 2*z + z).\nAnswer: -63*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 5*m**2 + 3*m - 6. Let w be h(5). Let y(v) = -4*v. Let p be y(-9). What is the highest common factor of p and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76.66485 litres?\nAnswer: 76664.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 + 4)*(-4*q - q + 3*q)*(5*q**2 - 2*q**2 - 4*q**2)*(-q + 0*q - q).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-5 + 15) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4221 (base 6) to base 4.\nAnswer: -32311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 + 60*l**4 - 69*l**3 - 126*l**2 = 0. What is l?\nAnswer: -21, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32530.835619 - -0.068.\nAnswer: 32530.903619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 215739381 and -19.\nAnswer: 215739362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-349200003)\/(-3) + (1 - 2). What is g rounded to the nearest 1000000?\nAnswer: 116000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -758172123 divided by -1107\nAnswer: 684889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 443*x - 906*x - 5 + 3 + 462*x - 6*x**3. Let u(a) = -11*a**3 + a + 3*a - 6*a - 3. Determine -4*u(h) + 7*v(h).\nAnswer: 2*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7*l + 3 = -4*l - 15, -r = -11*l - 3 + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -415*-0.1\nAnswer: 41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6052 and 27\/593.\nAnswer: 3588836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16341, -16398, -16455, -16512?\n\"Answer: -57*n - 16284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15372, -15373, -15374, -15375, -15376?\n\"Answer: -j - 15371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 - 280. Let u = -79 + s. Let d = u - -23. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029137087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 37 (b) 10 (c) 3 (d) -0.9 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 4 = 0. Let b = -4 + 11. Suppose k*l - 39 = -5*h, -3*l + b = 1. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1)\/j*j*j*j*j))\/(j*j**(3\/7)))**10 assuming j is positive.\nAnswer: j**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36\/7 + 1159\/224. Let x(b) be the third derivative of -k*b**4 + b**2 + 0 + 0*b + 1\/80*b**5 - 1\/4*b**3. Factor x(r).\nAnswer: 3*(r - 2)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**2 + 96*u - 993*u**4 + 97*u - 229*u + 65*u - 3 + 3886*u**4 wrt u?\nAnswer: 69432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1656752?\nAnswer: 1656752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 6*t - 6. Let w be d(3). Suppose 3*p = -u + 15, -u + 3*p + w = -0*p. What is the remainder when 69 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 70\/2 + -2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14979 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12989\/4 + -16211\/5. Let q = 103091565347\/692 + -148976225. Let o = q + -1\/692. What is the common denominator of s and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 25748 - 25238 - 510.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + z)*(-3 + 4 + 0)*(28 + 39 - 36)*(0*z**3 + z**3 + z**3).\nAnswer: -124*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -13\/36, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -28*k + 87. Let n be g(3). Let w(c) be the second derivative of -c**2 - 1\/3*c**n + 0 - 1\/12*c**4 + 3*c. Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 410, 818, 1226, 1634, 2042?\n\"Answer: 408*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108979?\nAnswer: 13, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 109*f - 1708. Let v be i(-19). Let h be 0 - (2 + 0\/(-1)). Let c = 5 + 0. What is the second smallest value in c, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 22\/26) + 2\/(-13). Suppose -o*d = -10*d. Solve 3*s = -6 - d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2. Let d(p) = p**2 - 9*p**2 + 10*p**2. Give d(x(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-4) + 0)*1\/(-2). Solve -a - 2*a - 9 = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x - 4*x)*(-2 + 2 + 2)*(x**3 - 5*x**3 + x**3).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + 54\/(-189). Let k(h) be the second derivative of 1\/160*h**5 + 7*h + 0*h**4 - 1\/48*h**3 + 0 + u*h**2. Solve k(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2174 + -2.5174. Let y = 6.1 - 3.1. Which is the nearest to 0? (a) 1 (b) y (c) -0.4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.04514 rounded to one dp?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2889 and 6687.\nAnswer: 2146527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5847089 rounded to 2 decimal places?\nAnswer: 7.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/3 (c) -5 (d) 4\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*250\/(-13200)*9\/3.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/5171 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by ((-108)\/(-30))\/((-141)\/(-45) + -3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2127?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*k = 6, 8*k = 3*k. Put z, 0.5, 0 in descending order.\nAnswer: 0.5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508.3347 millilitres to litres.\nAnswer: 0.5083347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26346 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: Let k(b) = -2*b**3 + 1557*b**2 + 1557*b + 1. What is k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x**2 + 70 - 70)*(0 + 5 - 2 + 2*x) - 2*x**2 + 2*x**2 + 2*x**3 + 0 + 0 - x**3.\nAnswer: -33*x**3 - 51*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 13, c: 1, y: 3}. Give prob of picking 4 w.\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*j - 277*j + 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:20 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10965 + 21923\/2. Suppose -5*r - 3*s = s + 19, 3*r + 4*s = -13. Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(1 + sqrt(72) - sqrt(72)) - (sqrt(72)*-4 + 2)))**2.\nAnswer: -5184*sqrt(2) + 41796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u + 19 - 151 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0, 83\/7, -0.5?\nAnswer: 83\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 - 1 = 0. Let r be b - (1 - 0 - 2). Suppose g + 3 = r*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128225 less than or equal to -128226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -321*((-4)\/16 + (-19)\/(-12)). Let n = b - -812. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170610 (base 8) to base 14\nAnswer: -18768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8371\/4 (b) -0.3 (c) 0.28 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.4 or 0.71?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -1 - (-17 + 7 + 12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 30. Suppose x - 5*h + 5 = 0, -2*x = -h - 3 + 4. Suppose x = 3*c - 4 - b. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/7 + 108*z**2\/7.\nAnswer: 4*z**2*(z + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1445, 1390, 1291, 1142, 937, 670, 335, -74?\n\"Answer: -i**3 - 16*i**2 + 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1286494.\nAnswer: 3\/1286494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nranirkrnnlnr. Give prob of sequence rr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52173 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3790 by -758.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 33*g**2 - 18*g - 7. Let p be f(-16). Suppose -p*x + 142 + 58 = 0. Let t = 22 + -4. Solve a + t = 5*z, 2*z + z = 2*a + x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 6*t + 34. What is the remainder when d(6) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**28*h**6*h**(2\/3) assuming h is positive.\nAnswer: h**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*u**3 + 786*u**2?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h)\/(h\/h**23) assuming h is positive.\nAnswer: h**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 5)\/(6\/4). Put 0, 3, h in increasing order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 269784322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1389657337 to the nearest integer?\nAnswer: 37278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*p + 2*b, b - 27 = -25. Calculate the highest common factor of p and 1799.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 5 - 2*q**4 + 11 - 6 - q**2 + 3 in the form z + i*q**4 + c*q + r*q**3 + u*q**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1 + 9 + 0 - 16*r - r. Let x be k(13). Find the common denominator of 77\/10 and (x\/(-12))\/(0 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1211546 and 2660.\nAnswer: 230193740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 23 (c) -11\/6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*-5*(-17)\/(85\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at most -2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 6*d + 11*d. Let l be 2\/16 - 15\/(-120). Let p = -14 - -11. What is the nearest to l in p, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1343, 2, -4 in decreasing order.\nAnswer: 1343, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7717 or 7716?\nAnswer: 7717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + u + 840 = 0, -4*k + 3*u + 3722 = 364. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127019306 or 127019304?\nAnswer: 127019304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 8*m**2 - 2*m + 3. Let d be p(8). Let b = d + 16. Calculate the remainder when 5 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -356. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 + 2 = 0. Let s(r) = r**2 + 7*r + 6. Let l be s(-7). Let y be (51\/(-34))\/(-1*l\/20). Sort 0, v, y in ascending order.\nAnswer: v, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by (-8 + 0)\/((-3)\/12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/45*5)\/3. Let m = -20\/13 - -86\/39. Suppose -2\/3 + m*v**2 + w*v**3 - 2\/3*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 646 - 606. Suppose 45*k = i*k + 1270. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12021 is divided by 923.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255466?\nAnswer: 2, 127733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6212473, 24849923, 55912337, 99399715, 155312057?\n\"Answer: 6212482*n**2 + 4*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*8\/8*-2. Let t be (-1)\/2*(1 - 31). Let h = t - 9. What is the highest common factor of m and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4570491 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 19 = -5*z, -5*z - j = -25 + 3. Suppose -z*r + 450 = r. Let m = 334 - r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, u: 5, d: 5}. Give prob of picking 3 y and 1 d.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-616)*21\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -462, -473, -492, -519, -554, -597?\n\"Answer: -4*v**2 + v - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/9 - 313432*x**2\/9.\nAnswer: 4*x**2*(x - 78358)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -28.6592.\nAnswer: -28.6592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 208*s**2 - 8*s + 10. Let f be u(1). Solve 225\/2*w**4 + 24 + 72*w - 72*w**2 - f*w**3 = 0 for w.\nAnswer: -2\/5, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113701 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/3 - 248240*w**4\/3 + 2567711812*w**3 - 15405526160*w**2\/3 + 7702638962*w\/3 = 0. Calculate w.\nAnswer: 0, 1, 62059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 6*u - 11. Let a be v(8). Suppose 0 = a*d + 17 - 52. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -257368922*k**4 - 384189415 with respect to k.\nAnswer: -1029475688*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2317*i + 1941. Is l(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1054*v - 682*v + 524*v)*(0 + 1 - 5 + (2 - 1 - 2)*(-3 + 2 + 0)).\nAnswer: 3636*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**5\/60 + 7*h**4\/24 + 5*h**3\/6 - 7*h**2\/2 + 24. Let w(k) be the second derivative of t(k). Calculate w(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - 1740*d - 2. Let w(g) = 17*g**2 + 6958*g + 9. What is 9*b(p) + 2*w(p)?\nAnswer: -2*p**2 - 1744*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 4*y - 9. Let v be (-2)\/(-9) + (-43)\/(-9) + 0. What is i(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 2*a - 1. Give f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -704 - -762. Suppose 4*h + 36 + 8 = 0. Let g = h + u. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 0.17313 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -892851 + 358391. What is c rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) -0.05 (c) 6\/91 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(9 + (369\/(-63) - 3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*k - 128 + 191, -k - 70*l + 74*l = 31 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4012 - -4009. Sort -5, j, 5, 3\/37 in descending order.\nAnswer: 5, 3\/37, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -0.19, -0.08?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 - 688 + 353 - w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -16. Solve w = -i - 0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -5 - 4 - (4 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 6080613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.37 - -69.37. Let f = -67.0744 + o. What is f rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + sqrt(144) + ((-1*sqrt(144) - sqrt(144)) + sqrt(144))*2)\/sqrt(4)*-3)\/((sqrt(192)*-2 - sqrt(3)) + -2*sqrt(9)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 6*n**2 - n + 3. Let z(t) = -621*t**3 - 36*t**2 - 9*t + 18. Determine -6*c(j) + z(j).\nAnswer: -609*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = -0*v. Let j be (-1 - 26\/4)*4. Let r be -2*(j\/4)\/(-3). Sort -1, r, v in increasing order.\nAnswer: r, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - 1)\/(9\/((-4266)\/12))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -69, -0.2, 0.2, -6\/11, 0.1523?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/11*o**2 + 5\/11*o = 0. Calculate o.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 5*j**3\/3 + 31*j**2 + 24*j - 115. Factor w(o).\nAnswer: (o + 12)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6829772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 41. Let z be w(-9). Let g = -1 + 30. Solve g = -3*f + z*u - 11, u = -5*f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*t = 20, -5*t - 12 = -3*p - 0*t. Suppose 4*d - 4*a - 20 = -p, 2*a - 46 = -4*d. Let y(z) = z**3 - 6*z**2 + 1 + d*z - 3*z + 0*z. Determine y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q - 5*z = -5, 5*z = -4*q + 32. Suppose 2*w - 10 = -q*w. Suppose -4*m = -7*i + w*i + 72, 0 = -5*i + 2*m + 76. Solve 5*g = g - i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 2778*c**2\/5 - 1110*c - 2774\/5.\nAnswer: -2*(c + 1)**2*(c + 1387)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.69 less than -0.02?\nAnswer: -9.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*(-4)\/(-11). Let d = -128779 - -128775. Sort 0.8, d, q.\nAnswer: d, q, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41 + 15*g**4 + 26 - 6*g**4 wrt g?\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 5. Let y(h) = 1. Let p(s) = l(s) + 5*y(s). Let f(t) = -t + 1. Let a(r) = 4*r - 2. Let x(m) = -a(m) - 2*f(m). Give p(x(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15655 and -0.286.\nAnswer: 4477.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 18\/13, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 29103 = 2*z, 0 = 4*b + 4*z - 23260. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/3 + 4546*x**3\/3 + 441326*x**2 - 4546*x\/3 - 1323980\/3 = 0.\nAnswer: -1930, -343, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7 - 8 + 5*a + 16. Let x be h(1). Let b be x + -1 + (-5 - -3). Solve 5*w = -t - 0 - b, -2*t - 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4374 - 0.5374. Let s = 3 - 4. What is the third biggest value in 9, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 9*a**2 - 2*a + 14. Determine l(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -260*t. Let g(v) be the first derivative of v**2 + 25. Calculate x(g(a)).\nAnswer: -520*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 + 2*u**2 + 4*u + 5. Let s be m(-2). Which is the second smallest value? (a) s (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -30*z + 41*z. Let s(l) = 2*l**2 - 13*l + 10. Let t be s(z). What is y in -24\/19*y - 14\/19*y**t - 92\/19*y**2 - 66\/19*y**3 + 16\/19 = 0?\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l + 12*l - 12*l)*(51 - 73 + 44 - 3*l).\nAnswer: -36*l**2 + 264*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1012)\/33 - (-4)\/6. Let y = 29 + x. Let w = 77 + y. What is the remainder when w is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 33*o\/2 - 45.\nAnswer: -(o - 30)*(o - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11497.46 + 11824.4532. Let o = l - 327. What is o rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2685 and -136481.\nAnswer: -136480.7315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.046515 + 499.910515. Let p = y - 483.8. Let j = p + -16. What is j rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58, 209, 450, 781, 1202, 1713?\n\"Answer: 45*r**2 + 16*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.3 - 0.3. Let v = a - 0. Let n(k) = -k**3 + 4*k**2 + 8*k - 15. Let m be n(5). What is the second biggest value in m, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 - 0.28. What is the second smallest value in c, -2\/3, 0.05, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*r + 2, -3*j + 0*r + 9 = -r. Suppose -4*y - 5*x + 2*x = 11, -y + 3*x + 1 = 0. Sort 1, y, j in ascending order.\nAnswer: y, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - -723. Let a be 2\/15 - (r\/(-15) + -3). Let x = -56 + a. Solve -o + 3 - 1 = x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4 + 21971*r**3 - 3064582*r**2.\nAnswer: 24*r + 131826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3 - 62. Let a(r) = -r + 8. Let w be a(6). Let v(m) = 0*m**2 + 2*m**2 + 0*m**w. Determine v(u(l)).\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 16. Let f be g(5). Let z = 46 + f. Suppose a - 47 - z = 0. Do 63 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -27 + -8 + (17 - 2) + -1 - 49.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494193.\nAnswer: 3, 7, 101, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-984189 + 4135*i + 984189)*(2 - 1 + 1).\nAnswer: 8270*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + 166. Suppose 0 = -3*b - 2*l + w, -b - 2*b = l - 301. List the prime factors of b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/2 - 2*c**3 - 2*c**2. Differentiate k(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 712 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 3*f + 4, 2*k = -f + 6. Suppose -3*n + k - 44 = 0. What is the units digit of n*(2 - (6 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1177\/66 + -13 - 6. What is the nearest to 0.1 in 3, d, -1.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261634 is divided by 172?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1074*z**3 + 359*z**3 - 1023*z**3 + 41*z**3 + 95*z**3.\nAnswer: -1602*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6*j**2 - 4*j + 6. Let v be u(-5). Let i be (21\/(-7))\/(2 - v). Put i, -6, 3 in ascending order.\nAnswer: -6, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y - 5*z + 41, 0 = -5*z + 20. Let v(s) = -s - 10. Calculate the remainder when (-2 - 1)\/(y\/(-56)) is divided by v(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9354 and 3972.\nAnswer: 6192348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191850693*c**4 + 83737442*c wrt c.\nAnswer: -2302208316*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*3144816\nAnswer: -3144816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yykytayktyaokaykk?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35247 - 35238. Calculate the remainder when 152 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4803.56mm to meters.\nAnswer: 4.80356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 4*i**2 - 2*i - 7. Let v be a(5). Suppose -v*x + 6*x + 64 = 0. Suppose -x = 5*o - 4*n, -o - n + 0 = 1. Let b(m) = m + 3. Determine b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3) + -4*25\/(-48)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 2*u)*(u**3 + u**4 - u**3) - 2*u**5 - 4*u**5 + 4*u**5 - 4*u**5 - 4*u**5 + 6*u**5 + (61*u + 169*u + 92*u)*(4*u + 2*u**4 - 4*u).\nAnswer: 641*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 0*d**2 - 5*d**2)*(61*d - 2*d - 8*d).\nAnswer: -102*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -521 - -771. Let y be 8\/5 + 600\/k. Let j be (-4)\/(-14) + 68\/7. Solve -y*q + 2*q = j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38842*v - 38843*v = -2*a + 5, 4*v + 20 = -3*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/35 + (-164)\/14. Let h be (-442)\/(-119) + (2 - v\/(-7)). Solve 2*x - h*x = -8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 40074*a**2 + 1480140*a + 2800000.\nAnswer: 2*(a + 2)*(a + 35)*(a + 20000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = -76*j + 16*j. Which is the nearest to -1? (a) 39\/5 (b) 3\/7 (c) 2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007151 is divided by 251539.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f*g**4 - 129*f*g**2 + 42751*f - 4*g**5 + 4*g wrt g.\nAnswer: -72*f*g**2 - 258*f - 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 30 = 33*k - 29*k, 5*u - 55 = 3*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 (base 15) in base 13?\nAnswer: -367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 8*h - 4. Let a be u(9). Suppose -4*m - 20 = f, f - a*f + 25 = -5*m. Suppose -x = 3*p - 85, -4*p + 7*p = f. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (14 - 1) - 1) + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009814851704 rounded to 5 dps?\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44079837 at least 44079837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 12*b**2 + 13*b + 27. Let c be i(-11). Suppose 0*o - 4*o = 3*k - 26, o + 51 = c*k. What is the remainder when 88 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -244*a**3 - 25039*a**2 - 27040977?\nAnswer: -732*a**2 - 50078*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391410929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5134.23 + -5178. Let o = -43 - p. Round o to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214 and 5368725?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 16 - 89*j**2 + (7*j - 3*j - j)*(2*j + 4*j - 4*j).\nAnswer: -83*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 5. Let o be q(4). Let d(k) = 2*k + 7. Let n be d(0). Suppose -o*z = -n*z. Which is the third smallest value? (a) -0.3 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 265665 = -127*n - 166*n. What is the remainder when n is divided by 156?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.1, -29, 1\/157, -45?\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(204) + sqrt(204) + sqrt(204) - (-2*(sqrt(204) + sqrt(204) + sqrt(204)*1) + sqrt(204)))\/(sqrt(72)\/sqrt(6)*-4*4).\nAnswer: -13*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/4 - 10)\/((-12)\/64)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 6*x + x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83875 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*i = -417*i + 1029. Let j = -202 - i. Calculate the lowest common multiple of j and 3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 72067195.\nAnswer: 216201585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + 0*r**3 - 9*r**4 + 2*r**2 - 31 + 3*r - 3*r**2 + 30 as p*r + o*r**3 + f*r**4 + n*r**2 + v and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5382 + -5379.709. Let f = 2.3 - j. Let w = f - -0.03. Round w to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 5*r**2 + 3*r - 8*r + 347*r**3.\nAnswer: 347*r**3 + 5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15754302 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311030021 (base 4) in base 14?\nAnswer: c6d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22460 divided by -103?\nAnswer: -22460\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 79835392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s**2 - 6*s - 7. Let r be f(-3). Suppose 0 = -0*b - r*b + 10. Solve -2*k - q - 2 = -0, -b*k = -q + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 4*p**2 - 2. Let t(v) = -2530*v**3 + 4480*v**2 - 10. Let b(q) = -5*r(q) + t(q). What is the third derivative of b(s) wrt s?\nAnswer: -15150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u**3 - 2*u**2 + 9*u + 11. Let m be d(-4). Let o = m + 66. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**4 - 19338*j**3 + 17716?\nAnswer: -8*j**3 - 58014*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + 6*(sqrt(252) + (sqrt(252) - (-1 + sqrt(252)))) - ((3 + 1 + sqrt(252))**2 - (-3*sqrt(252)*-1 + sqrt(252)))).\nAnswer: -260 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 10*o**2 + o. Suppose -4*q = -32 - 8. Let m(w) = -w**2 - 7*w + 10. What is the lowest common multiple of m(-7) and j(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t. Let w(f) = 51*f. Determine w(l(u)).\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - 5 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3208\/(-6))\/((-16)\/24*1). Let g = -803 + o. Let b(s) be the third derivative of -s**6\/40 - s**5\/30 - s**4\/12 - s**3\/6 + s**2. Determine b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 1, q: 2, g: 2, d: 1}. What is prob of sequence zk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 28*w = 2*d - 96, -2*d - 88 = -w. Calculate the remainder when 275 is divided by w.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) -10.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206720 is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexqjqdxxxxxxxtjtj. Give prob of picking 1 q and 1 e.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/(-15) - 2\/5. Let h be m + -3 + 1 + 3. Find the common denominator of 85\/22 and (1\/(-18))\/(h\/25).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 13 = y, 4*y + 19 = -r + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 9, h: 1, i: 1}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3534 = -211*i + 325*i for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128501 and 26576.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -4, -5 in increasing order.\nAnswer: -5, -4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 6*z + 4. Let g(v) = -2*v - 2. Let l be g(-4). What are the prime factors of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402 + 402 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101 - -10?\nAnswer: 1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhf when three letters picked without replacement from {v: 2, f: 4, h: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -26*l + 2. Let p(v) = -12*v + 1. Determine -3*j(c) + 7*p(c).\nAnswer: -6*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.2 - -5.3. Which is the biggest value? (a) m (b) 3\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d - 4 - 16*d + 4*d)*(-5*d + d + 2*d) in the form u + j*d + a*d**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -8*s + 10*s - 16, 5*s - 20 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-10)*(1 - 5). Let c be (6\/9)\/(b\/12). Let z = -5 - c. Is 2\/7 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g - 56 = -22*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137886810 and 16033350.\nAnswer: 689434050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13188, 26427, 39666, 52905, 66144, 79383?\nAnswer: 92622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose 3*y = 2*y + 3. Let r = 0 + y. Solve o*t - 20 = -r*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 1\/35876 (c) 1\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365 (base 9) to base 8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 2385 = -37*l. Suppose 5*r = l + 415. Suppose 3*k - r = 164. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05287 - 0.07287. Put z, -0.1, -0.14, 1 in decreasing order.\nAnswer: 1, z, -0.1, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1749*l**2 - 57*l**5 + 2*l**6 + 0*l**6 + 1287*l**2 - 81*l**5 wrt l?\nAnswer: 240*l**3 - 8280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psjj when four letters picked without replacement from {o: 6, p: 1, j: 3, s: 8}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwdwdrwrwrwllerwrdr. What is prob of picking 1 l, 1 r, and 1 w?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (124\/(-6))\/(10\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219545 is divided by 558.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 0 - -3 - -2. Suppose -2*s - 2 = -6. Solve s*i**3 - 3*i**a - 3*i**2 + 2*i**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 11. Let g = 16 - j. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -3001101?\nAnswer: 3001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(((sqrt(64)*2 + sqrt(64) - sqrt(64)) + sqrt(64))\/sqrt(8)))\/((sqrt(40) + sqrt(160)*-1)\/sqrt(10))*1*4.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-838)\/93 - (175 - 184). Which is the second smallest value? (a) o (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.25 (b) -5 (c) -6 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 + 0*d - 13\/3*d**4 + 0 - 37\/3*d**3 = 0. What is d?\nAnswer: -3, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 42*u = 152*u + 394 + 306 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 38 = -4*q, 392*u - 17*q - 28 = 393*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/9 - (-4)\/6. Suppose 23 = 2*a + s. Suppose 0 = 3*x - 4*j + a, 2*x - 4*j = -9*j - 38. Is x equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -16*p + 4. Let h(d) = 17*d - 5. Let r(u) = 6*h(u) + 7*t(u). Let n be r(2). Let l = n - -32. What is the lowest common multiple of l and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 2*o)*(-215*o**4 + 406*o**4 - 163*o**2 - 181*o**4).\nAnswer: 20*o**5 - 326*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 3*p**2 + p**2)*(-19*p**2 + 11*p**2 + 7*p**2 + p)*(-267 + 267 + 13*p).\nAnswer: -26*p**5 + 26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -249, 240, 4, 2.\nAnswer: -249, -10, 2, 4, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 4*v**4 + 4*v**4 + (-2*v**3 + 0*v**3 + 3*v**3)*(0 + 2*v + 0) - v**3 - v**4 + v**3.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-128080)\/2)\/(-8) + (-6)\/(4 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5363 and 64697?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 0.15.\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Suppose -2*o + i = -2. Let g = 509\/1491 + -4\/497. Is g > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/6 (b) -2\/17 (c) -4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/240 - -1177*(-189)\/4752\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 11*t + 84 - 190 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -4 (b) -5\/43 (c) -2 (d) -5\/2 (e) 361 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 8*k - 5. Let w be l(7). Is 66 - (w + 0 + 1) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 2 in descending order.\nAnswer: 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1310.\nAnswer: -2\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11 - (-24 + 23)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 665*a = -661*a - 20, -a = -3*r + 23 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g. Let l(n) = -n**2 + 2*n + 2. Let z(t) = 5*i(t) - l(t). Does 14 divide z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**3 - 16581988*l + 16581988*l.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -3056?\nAnswer: -53\/3056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -770247 (base 9) to base 3.\nAnswer: -212100021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, -4, 0.4.\nAnswer: -4, 0.4, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/2, -5, -10171, -17, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 443 + -6643\/15. What is the closest to 0.1 in -2\/3, 2, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 12, -37, -102, -189, -304, -453, -642?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*p - 5 = 0, 10*z + 3*p - 13 = 8*z. Suppose 4*y = -4*d + 59 - 71, 8 = -z*d. Solve 3*x - 6 = 3*g, g = -2*x - 0*x + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.328973 decades?\nAnswer: 3.28973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -760*b - 12*b**2 + 4*b**3 + 28 + 80 + 548*b + 112*b**2 = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 8*o = 64. Let r(j) = -j**3 + 6*j**2 - 6*j + 6. Let w be r(5). Let v = w - -3. Solve -o*h = -0 + v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.8936 - -152.7426. Let d = -143.98 - 0.02. Let c = l + d. Round c to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/20 - 2*n**4\/3 + n**3\/6 + 11*n**2\/2 - 2*n. Let q be a(-8). Solve 3*l - 3 = q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**3 - 2*i**2 + i. Let n be o(1). Let u = -8 - n. Suppose 12 = -4*r, 6 = f - 2*r + u. Put 0, -3, f in ascending order.\nAnswer: -3, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -34547.26.\nAnswer: 4145.6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:07 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7 = -23. Suppose 4*x = 4*u - 12, -3*u + 3 = x - 2. Find the second derivative of 0*y**3 + y**3 - d*y**3 - u*y wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1501 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -295, -436, -563, -676, -775, -860?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490945, -490945, -490943, -490939?\nAnswer: -490933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.9252?\nAnswer: 0.9252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d - 142*d**3 - 99*d**4 - 23747*d**2 + 50*d - 69*d**4 + 24027*d**2 + 143*d + 72*d**5.\nAnswer: 2*d*(d - 2)**2*(6*d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (2*sqrt(28))**2).\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402557013 by -3120597.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 116\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97398504?\nAnswer: 2, 3, 7, 37, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824674119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18323 is divided by 374.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 41*n**3 + 7*n**2 - 4*n - 8. Let d(q) = 44*q**3 + 8*q**2 - 5*q - 10. Calculate -6*a(o) + 5*d(o).\nAnswer: -26*o**3 - 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3672972 divided by 2556.\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1622 - 0?\nAnswer: -1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4728638 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -60. Suppose 4*v + 58 = y, 5*v - q = -3*y + y. Let a = y - 23. Are a and 15 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6858513 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - -1.595. Let i = 50.754886 - 50.76. Let f = v - i. Round f to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 + 60*x**2\/11 - 18*x.\nAnswer: 2*x*(x - 3)*(x + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126913*g**3 - 3*g**2 - 983374*g?\nAnswer: -761478*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 14. Suppose -9*d + 12*d = 0. Suppose d = 4*k + k + 55. Let b be h(k). Solve t = 4*t - 15, b*w + 4*t - 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1288 + -768. Let t = 531 - a. What is the biggest value in -1, t, 1\/4, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18993727 divided by -18993727\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 9618?\nAnswer: 9618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23781.32 centuries to millennia.\nAnswer: 2378.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 (base 11) in base 3?\nAnswer: -220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 702*96\/10368*80\/26\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*o**4 + 29*o**3 - 18*o + 129*o**4 - 3*o**2 - 28*o**3 as u*o + h*o**2 + k*o**3 + x + t*o**4 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 6. Let k = -7 + p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 9*m. Solve -c - 3*c - 4 = m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*o - 2*o. Let p = 10 + o. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {j: 2, t: 6, e: 1, u: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*z + 137303, 0 = 4*t - 0*z + 5*z - 183019. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 3. Which is smaller: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -464*u**3 + 17444*u**2 - 651639*u - 4 wrt u?\nAnswer: -2784*u + 34888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 19112?\nAnswer: -19111.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(5 + -2 + -1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x, 29*u - 30*u + 5*x - 6 = 0. Suppose -s - 15 = -4*s. Suppose 2*k - 10 = -3*f + k, -s*k + 20 = 0. Solve 4*b - u = f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*q + 4*y, 66*q - 68*q + 4*y - 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9*j - 62 = -7*j, -j = 5*s - 59 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1615022*c + 3230013*c - 1615008*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (-9 - -12)) + -11 - (-1 + 2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d + 20*d + 28*d)*(31*d**2 + 0*d + 0*d + 38*d**2).\nAnswer: 4830*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*r - 639 + 836 = 1949 + 4573 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 - 1)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)*f)**8)**(-18\/13)\/((f**3)**(-32))**(-4) assuming f is positive.\nAnswer: f**(-5104\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -8*k + 3*a, 12 = k + 5*a. Solve -k = -2*l - 2*m, 3*l - 2*m + 5 = 3*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-12)\/3 - 4. Let n be (6\/(-12) + 0)*10. Sort n, v, 3, -1 in decreasing order.\nAnswer: 3, v, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 8*n + 112. Let i = 32 + n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135742 is divided by 2055?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:43 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5703 + 0.0003. What is w rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 + -2.3. Let h = 1 + 0. What is the closest to v in h, -2\/7, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2119 = -31665. Let y be h\/(-6) + (-38)\/57. Suppose y = 4*t - t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/7 - 557*z + 41957910\/7 = 0.\nAnswer: -8714, 4815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 221393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 7:35 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 2*u + 406. Let p be r(0). Let z = p - 242. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 7*f - 2. Let d be j(-6). Let m = d + 42\/5. Solve 6\/5*y - m*y**2 - 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-99 - 3) - (253 - 165 - 100)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3\/2 + 617*x**2 - 1487*x\/2 + 124.\nAnswer: (x - 1)*(x + 248)*(5*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2788 = -5*s - 2870, -2*m = -77*s - 213 - 157 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 22 = -13. Suppose -3*f + 54 = j*f. Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/5, 1, -18\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3936778 or -3936779?\nAnswer: -3936778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5.6. What is the third biggest value in -4, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1 - 1505\/(-66 - -23). Solve -10*z = u + 43 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 6. Let n be c(-3). Suppose h + 147 = 2*v + 2*h, 0 = -h + 1. Let l = v - 53. Solve -q + 6*q + l = n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 75 = -3*t, 73*t - 69*t = -6*h + 64 + 36 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 11, 0, -33, -94?\n\"Answer: -r**3 - 2*r**2 + 18*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2*(-3234)\/(-1323)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 2}. Give prob of picking 1 h and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2 + 8\/3*w**3 - 64*w**2 - 1\/24*w**4 - 5*w. Suppose c(t) = 0. What is t?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631 minus 519849916?\nAnswer: -519850547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:42 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4 - (3 - (-99)\/(-22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2494663 is divided by 343?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1 - 10*y - y + 9*y. Give s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 47. Let s be h(26). Let c = s - -143. Let p(b) = 17*b + 25. Is p(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**2 - 2*a - 1. Let u(t) = -7*t + 2. Determine 6*h(l) + 5*u(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/91356 and 31\/16.\nAnswer: 365424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((78\/7)\/13)\/(2\/(-3)*(-136)\/5712).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = d - 16, 9*f = 14*f - 4*d - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -3\/5, -0.4, 7, -56, 316 in increasing order.\nAnswer: -56, -3\/5, -0.4, 2\/7, 7, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 354513322 - -5?\nAnswer: 354513330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209815 is divided by 82?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 515343 = -5*c + 2*w, 6*w = -c + 103043. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 7*q - 11*q + 7, -2*q + 14 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3414 - 2754. What is the smallest common multiple of f and 9?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - -2) + (-23 - (4 + -38))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 12, -0.5, 0.95, 3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**3 - 3*k**2. Let w(p) = p + 3. Let d be w(-5). What is the units digit of j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*r = 255, 3*s + 193 = -5*r - 20. Let z be (-12)\/(-24)*(-2)\/(-1) + s. Is z bigger than -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 379*v + 14*v = 2238 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/9)*h**(-1\/31)*h**15*(h*(h**(-4\/9)*h)\/h*h)\/h assuming h is positive.\nAnswer: h**(495\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42158\/23 - -519059\/115. Let v = n - 10735\/4. Calculate the common denominator of v and -101\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 - r**4\/6 - r**3\/6 + 4*r**2. Let l be x(4). Let v(c) = c**2 + c. What is v(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 11. Let w be d(6). Suppose -w*p = -20, 0 = i + 4*p - 6987 + 1971. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 2 g when four letters picked without replacement from ogooncgcpgxp.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 267477236 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = 0, y - 254 = 15*q - 20*q. Suppose -m = 5*c - 139, -c + 15 - y = -2*m. Is m < 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) + (sqrt(68) - -2*sqrt(68)))*5)\/(sqrt(576) - 2*sqrt(576)).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -36*(-3 + 5\/(-3)). What is the highest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1668 = 30*d - 2148. What is the remainder when 2397 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 610392757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + (-19 - -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-1))**(1\/15)\/(((y*(y**(-6)*y)\/y)\/y)\/(y*(y**(-3\/7)*y)\/y*y)) assuming y is positive.\nAnswer: y**(272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55055945*w**2 + 47424*w + 423?\nAnswer: -110111890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -45, 292, 0.05, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 1, -0.193?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(-9)\/((r\/(r**(-3)*r))\/r**(-5)))\/(r*r**(3\/13)*r*r*r**(1\/22)*r)**(-9\/5) assuming r is positive.\nAnswer: r**(3857\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by 2\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4, -2*g + 3*i = -1 + 7. Let f = 1 - 5. Let z(b) = -2*b - 3. Let s be z(f). Solve -s*x + 20 = -g*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**5\/5 - 475*s**4\/4 - 2*s**3\/3 + s**2 + 37*s - 1463. Find the third derivative of w(p) wrt p.\nAnswer: -24*p - 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - a. Let o be b(1). Suppose o = -7*w + 10*w - 60. Suppose h + 5 - w = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -129, 1, -5.\nAnswer: -129, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 272.1108 + -0.2\nAnswer: 271.9108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.051 + 110.949. Let y = 116.808 - 4.788. Let o = f - y. Round o to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 959*j**2*o**3*t**3 + 13*j**2*o**3 - 3*j**2*o + 1770*j**2*t - 14*j*o**3*t + 2*j*o**2 + 24876*t**3 wrt t.\nAnswer: 5754*j**2*o**3*t + 149256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1800) + 0)*6 + sqrt(36)\/((sqrt(20)*1)\/sqrt(10)))*-3 + 3)**2.\nAnswer: -1098*sqrt(2) + 602803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 4*g = -15 + 66, 188*d + 2*g = 185*d + 8*g - 39 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmcclllcclclmlllll. What is prob of sequence ccl?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2206, 4724, 7242, 9760, 12278, 14796?\n\"Answer: 2518*q - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*22\/(-33) - -7. Suppose 5*t + 20 = 0, 0 = -2*u + u - 3*t + 39. Let p be (h\/3)\/(2 + u\/(-27)). Solve 2*s - 9 = -p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -347198\/753 or -0.1?\nAnswer: -347198\/753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 - 6*r**3 - 112*r**2\/3 - 96*r - 256\/3.\nAnswer: -(r + 2)*(r + 4)**2*(r + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3316 + -3320. Let g(i) = -6*i + 1. Let z be (-2)\/(-6)*0 - 0. Suppose 1 = l - z*l. Let d(m) = -m. Give l*g(n) + t*d(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d = 4*l - 534, -4*d + 448 = -2*l. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5, k + 1 + 0 = -d. Suppose 0*n = 2*q + n - 3, -k*n - 15 = -q. Let 0*p - 4\/7*p**2 - 10\/7*p**q - 8\/7*p**4 - 2\/7*p**5 + 0 = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 41996 = 24*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72168 divided by -36084?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20289 - 20288.9999975626. What is c rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 5*s + 4*s)*(6*s**3 + 18 - 18) in the form y*s + m*s**2 + q + v*s**4 + p*s**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205\/3 + 68. Which is the smallest value? (a) 2\/21 (b) 4 (c) j (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-16) - -2)\/(2\/(-8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 13*r**2 + 5*r - 9. Suppose -5*m - 2*m - 49 = 0. Let n be v(m). Suppose -n*x + x = -368. Is 46 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b + 13*b + 2069 + 2*b**2 + 6*b - 575 + 14*b + 809.\nAnswer: 2*b**2 + b + 2303","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -793 = 3*a - 781, -9380 = -3*n + 5*a. Is 3121 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20)*(-18)\/9)\/(16\/(-160))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + 3 + -15 + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 - 5 - 996728\/(-23)?\nAnswer: 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 + 3*w**3 - 4*w**3 + (3*w + 3*w - 3*w)*(-w**2 - w**2 - w**2) + 2*w**2 + w**3 - 2*w**2 to o*w**3 + j + n*w + v*w**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73954.15kg to grams.\nAnswer: 73954150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from veneveveevvvv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156641255 a multiple of 2605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -5*p + h + 17, -4*p + h = -116. Let y = 333 + p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 6*h**2 + 3*h - 6. Let j be v(-5). Suppose -j*w = -3*z + 52, 60 = -4*w - 0*z + z. Let b = w - -41. Solve r + 4*r = b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*n - 73*n - 179*n - 3 + 143*n - 153*n as b + z*n and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43c4 - 4?\nAnswer: 43c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:50 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*i + 25*i - 328 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 97 + 117 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 346, 432, 592, 850, 1230, 1756, 2452?\nAnswer: 3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 106. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 403 = -h, 4*c + 9*h - 1585 = 4*h. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 8. Let q(k) = k**3 + 12*k**2 + 11*k + 10. Calculate the least common multiple of 4 and q(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -12)\/2 + (-18 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -915*q - 7325. Calculate v(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1024 and -69\/320.\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.097 * -1.039.\nAnswer: 1.139783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-180)\/108)\/(-2 + (-69)\/(-36)). What is the highest common factor of 180 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -6.3094?\nAnswer: 6.6094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5352.2938 - -5343.8. Round v to 2 decimal places.\nAnswer: -8.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*g = -1297, 2*g = 8*w - 3*w + 1298. Let p = w - -429. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 8. Let q = 15 - b. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1 - 9 - j**2 - 4 + 12*j. Let m be (-5)\/20 + (-123)\/(-12). What is the units digit of d(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24660 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 1832772*m**2 + 1832769*m.\nAnswer: 3*m*(m + 1)*(m + 610923)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/100067 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from hfhkhfghkkhkkthh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:40 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**2\/2 - 1396. Let s(k) = -k + 2859. Give g(s(m)).\nAnswer: -m + 2859","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 11)*(157*d + 12546 - 12546)*(0 - d + 0) in the form r*d**2 + c + g*d and give r.\nAnswer: -1727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.348 + -0.048. Which is the nearest to 2? (a) 3\/5 (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13720 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 10. Let x = -105 + 106. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 61*v - 400. Let p(r) = -15*r. Calculate 4*p(n) + u(n).\nAnswer: n - 400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 10*g**3 + 9*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41076 and 308?\nAnswer: 451836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -350532664 and 5.\nAnswer: -350532659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.1, -4 in descending order.\nAnswer: 0.1, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -118, -258, -454, -706?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 - i + 4. What is the units digit of a(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 2*k**2 - 2*k - 1. Let j be r(-2). Let i(u) = -u + 3. Let c be i(j). Let g = 9 + -6. Solve c = -4*s + v + 12, -s + 2*v - g*v = -8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 152, 2, 128 in ascending order.\nAnswer: 2, 3, 128, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 a when three letters picked without replacement from lqqgaqlaalq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2417774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -120*q**2 - 2*q - 3. Let z be t(3). Let d = 711 - z. Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r. Let u(p) = 1227*p**2. Determine i(u(d)).\nAnswer: 3681*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*a + 104, 0*a = 5*a - 2*w - 164. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -16*k + 50. Let t(w) = -w**3 - 43*w**2 - 44*w - 80. Let d be t(-42). Determine u(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 2}. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -10. Let h be (-4 + -4)*r*-9. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 10:26 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - k - 34545 = 4*w, -8646 = w - 3*k. Let m = -120979\/14 - w. Find the common denominator of -93\/14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*s + 13, -3*s - 40 + 3 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10) - 27\/(-15). Suppose 5*v - 12 = -3*n + 14, 10 = 5*n. Suppose 0 = -5*r + 2*g - 21, 3*r + 19 = -g + 2. Put v, r, b in descending order.\nAnswer: v, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k*k**1)\/k)\/k))\/k**(-1\/2)*(k\/(k**(-6)*k*k))\/(k\/k**7) assuming k is positive.\nAnswer: k**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttmtttttttttt. What is prob of picking 2 t?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Let c be 6 + 54*1\/2. Let s = z + c. What is the highest common divisor of s and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 557620325 to the nearest integer?\nAnswer: 23614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 105470241 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9305327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*g**3 + 61 + 42 + 62 + 119*g**3 - 133.\nAnswer: g**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 take away -134?\nAnswer: 134.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15779286785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcdmmmudmm. Give prob of picking 2 m and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-126)\/(-420).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -762 (base 9) to base 3.\nAnswer: -212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -78, -112, -144, -174, -202, -228, -252?\n\"Answer: l**2 - 37*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n + n + 4*n - 3*n. Let t(g) be the second derivative of -g**3\/3 - 14*g. Calculate t(h(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 1\/3, 9, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56452*r + 245006 wrt r?\nAnswer: 56452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*x = 0, 3*x = 4*y - 3*y + 4. Suppose -8 = y*v - 16. Solve q - 7 = 5*q - 3*d, -4*q = v*d - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 49 - (-67 - (19 - 86)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22 + 19)\/(2\/(-1230)).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3765, 3841, 3981, 4191, 4477?\nAnswer: 4845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*s = s + 102, 4*s = 5*l - 188. Let z = 21 - 5. Suppose 5*t - 20 = -3*j, 0 = -4*t - j + 2*j + z. Calculate the highest common factor of l and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -62, -5, 0.4, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 - 278. Let p = m - -99. Factor 0*z**4 + p + 0*z**2 - 2\/7*z**5 + 0*z + 2\/7*z**3.\nAnswer: -2*z**3*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*k**2 - k**2 - 13*k**2 - 11 with respect to k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**8\/1008 - q**7\/315 - q**6\/18 + 31*q**5\/90 - 61*q**4\/72 + 10*q**3\/9 - 1593*q**2 - q - 1. Determine d so that a(d) = 0.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-645)\/(-24690))\/(40\/422). Let z = i - 1\/1646. Calculate the common denominator of -33\/16 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 - 40 = 5*z. Let y = 9 - 2. Suppose -y*i = -2*i - z. 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 third root of 1703866 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 516395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + m - 2*m. Let j be u(-1). Put j, 3, 1 in descending order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*k**4 - 8*k**3 - 623*k**2 - 2976661*k wrt k.\nAnswer: 240*k**2 - 48*k - 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 94*p**2 - 3*p + 2. Let b = -41 - -42. What are the prime factors of m(b)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -57*o - 10*o**2 - 13*o**2 + 25*o**2 + 57*o + 5. Let h(f) = -f**2. Give s(h(x)).\nAnswer: 2*x**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, i: 4, h: 1}. Give prob of picking 1 h, 2 i, and 1 l.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297827.\nAnswer: 23, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-345)*60\/6*(-12)\/(-18)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -0.16078?\nAnswer: 2.09014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129246 and 0.058?\nAnswer: -7496.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**2 - 8*h - 14. Let o be s(-4). Suppose -4*y = y - o. Calculate the greatest common factor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36, 64, 104, 150, 196, 236, 264?\n\"Answer: -b**3 + 12*b**2 - b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((2\/9)\/(140\/180))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32789*f - 4*f**3 - 32789*f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-2 + -1)*(-6693)\/897\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 227420 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-39298 - 28)*(15 - 17)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 28*w + 0 - 1\/180*w**6 + 1\/24*w**4 + 1\/36*w**3 - 1\/120*w**5 - 1\/6*w**2. Find j, given that o(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/((-20944)\/33))\/(-9*(-8)\/(-168)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 3*x**2 + x - 1. Let q be r(-2). Suppose -5*s + 2 = -2*g, 0*s - 3 = -2*s + 3*g. Find the first derivative of -5*c + s - q + 7*c wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-3 + k**3 + 3)*(0*k**2 + 7*k**2 - 33*k**2).\nAnswer: -26*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-7) + (-6)\/(-21). Suppose 8*d - i*d = 40. Calculate the greatest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = -4*y + 17*d - 4, -2 = -3*y + d. Let u(k) be the second derivative of -6*k + 0*k**2 - 1\/2*k**3 + y. Let g(s) = 2*s. Give g(u(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -11252205403?\nAnswer: -11252205412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1112, -1, -33 in ascending order.\nAnswer: -33, -1, 3, 1112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/4 + (-3)\/12. Let s be h - (-2 - -1*68999). Round s to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2076)\/(-4) + 3 + -1?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 86530, 173067, 259604, 346141?\n\"Answer: 86537*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 less than or equal to 9964037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 g when four letters picked without replacement from qgqgqgqggqqqggqqgqgq.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(-55)\/(-44)*8\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k + 3. Let s(j) = -62*j**2 + 3*j - 4. Let b(g) = -3*c(g) - s(g). What is the units digit of b(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**2\/2 + 6*m + 32. Suppose -i = 2*q - 1, -2 = 3*q - 4*q - 2*i. What is v(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.97 + 9.9699448. What is u rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 31 (c) 2 (d) -86\/39 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a + a320c6?\nAnswer: a32100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9396 - -172?\nAnswer: -9224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 2, e: 6}. What is prob of sequence oj?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22527.963 plus 15?\nAnswer: 22542.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, n: 2, w: 3}. Give prob of picking 3 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**3\/6 + g**2 - 24*g. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71677 - 71682. Let m = 1 + 0.5. Sort m, -2, -1\/5, r in descending order.\nAnswer: m, -1\/5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, -6.\nAnswer: -6, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 887 - -2522. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + 24*p + 1. What is the remainder when 171 is divided by f(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 275 = 611. Let a be (-1)\/(c\/1352)*13. Factor -507\/7*z - a - 39\/7*z**2 - 1\/7*z**3.\nAnswer: -(z + 13)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 12*o + 16*o - 6*o + 2*o**2 + 3 - 8. Calculate x(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1, 652 in increasing order.\nAnswer: -3, -1, 1, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2309\/470 or -5?\nAnswer: -2309\/470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*a**3 - 4*a**2 - 2*a wrt a.\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 750.4929782 - -0.04\nAnswer: 750.5329782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/12*(-400)\/1050?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 4) to base 16\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, f: 2, t: 1, o: 5}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*g + 3*g - 11, u - 8 = g. Let v be (-2)\/(4\/2) + 9. Solve 0 = -3*m - i - 12, -m + u*m - i = -v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in years?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1243 or -1?\nAnswer: 3\/1243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 37*n + 168. What is the hundreds digit of v(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55144 is divided by 2902.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -717674 + 111.2?\nAnswer: -717562.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/(-6)*(5 - 8). Sort -5, p, -2 in ascending order.\nAnswer: p, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15039, -14120, -13201, -12282, -11363, -10444?\nAnswer: -9525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Suppose 23 + r = 4*i. Let h be (-25)\/((-225)\/18) - 2. Solve i*z - 11*z - 16 = h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 26*b**2\/3 - 52*b - 160\/3.\nAnswer: 2*(b - 8)*(b + 2)*(3*b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.16 (b) 2\/15 (c) -284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1.55.\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z + 53. Let c be l(3). What is the greatest common factor of c and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 2)*(t**2 + 3*t**2 - 3*t**2) + 10*t - 14*t**2 - 10*t + (-2 - 1 + 2)*(-4*t**2 + 4*t**2 - 2*t**2) + t**2 - 6*t**2 + 4*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5472460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637646 is divided by 331626.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -5)\/((-6)\/(-4)). Let i be 2 + 3 + (-1 - k). Suppose -3*f + t + 15 = 0, 3*f + i*t + 0*t - 15 = 0. Let p(h) = h**3 - 5*h**2 + h - 1. Determine p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-0.04.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 6*f**2 + 26*f + 2. Give x(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxx when three letters picked without replacement from kkxtxsxxkxtkyxx.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3 - 12. Let g = q - -7. What is the greatest common factor of g and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(2106)*2)\/((sqrt(12) + sqrt(108))\/sqrt(6) - (sqrt(32) + sqrt(8))) + 2)**2.\nAnswer: 144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21204 and 4712.\nAnswer: 42408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -133, -165, -199, -235, -273, -313?\n\"Answer: -q**2 - 29*q - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p**4 - p**3 + p**2 - 3442*p + 346695?\nAnswer: 20*p**3 - 3*p**2 + 2*p - 3442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*c - 0*c + 86, 0 = 2*j - 2*c - 184. Let w(g) = -g**3 - 3*g - 5. Let m be w(-2). Calculate the greatest common factor of m and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*p + 2, -388*v - 5*p + 20 = -788*v + 395*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2385\/61414 or 0?\nAnswer: 2385\/61414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2)\/l**(-2\/3))\/(l**(2\/7)*l)**(-16))**(2\/9))**10 assuming l is positive.\nAnswer: l**(8080\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144.4 + 144. Is z < -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/102 and 35\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - p - 1. Let m(t) = -3*t + 3. Let r(o) = o - 2. Suppose 3*w - 4*g - 2 = 0, g - 3 = -2*g. Let j(k) = w*r(k) + m(k). Determine 2*j(z) - 2*y(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s + 3*c = 8 + 44, 0 = -5*s - c - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(5\/9)*l\/(l*l**37*l)*l)**3)**(-2))**10 assuming l is positive.\nAnswer: l**(6560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 38*h**2 + h + 6. Let k(g) = -1. Let d(r) = -i(r) - 5*k(r). Give d(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, -1, -2, -13236, 4, 3 in decreasing order.\nAnswer: 7, 6, 4, 3, -1, -2, -13236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*n**4 - 18995*n**3 - 3342785 wrt n.\nAnswer: -88*n**3 - 56985*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-11))**(-15\/7)\/(m*m*(m**(2\/39)\/m)\/m)**18 assuming m is positive.\nAnswer: m**(-2424\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4))**28)**19\/((j**(2\/7)\/j)**(-4\/7)\/((j**(-1)\/j)\/j)**(-1\/22)) assuming j is positive.\nAnswer: j**(143081\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 3*p**5\/20 - 5*p**4\/6 + 4*p. Find the third derivative of l(g) wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*s**2 + 255*s**2 + 1351*s**2 to y*s + k + j*s**2 and give j.\nAnswer: 1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*r + 2061 + 2038 = -3*v + 229*r, -3*v + r - 40 + 9 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/80 - k**4\/16 - k**3\/12 + 23*k. Find r, given that t(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 573\/4 + -143. Let o be (-3)\/4*6\/(-9). Factor 1\/4*l - o + r*l**2.\nAnswer: (l - 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1) + 0 - 8. Let c = i + 19. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 139*h**2 + 67*h + 216. What is v(69)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142067000 rounded to the nearest one million?\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4665.\nAnswer: 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + 2*sqrt(17) + -5 + 1.\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -16. Let p = -278 + 276. Which is the smallest value? (a) 15 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/35, 3, -4\/221, 0.2, 1\/8?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -5. Suppose -w*k + 42 = -o, -4*k + 5*k - 3*o = 16. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-55)\/(-33))\/(-1 - (-4)\/3). Suppose 3*h = -0*h - z*p - 16, 0 = 5*h + 3*p. Solve 0 = -h*v + v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 56. Let h be (-3 + 0)*(-4)\/3. Let b(j) = z - h + j. Let k(w) = -4*w. Give k(b(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19972 times 0.197?\nAnswer: 3934.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35525418 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -195 and -625881873?\nAnswer: 625881678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -15*l + 803. Calculate the remainder when j(13) is divided by 77.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -1\/16, -5\/2, -0.1, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1022073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 40482 and 3440931\/85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/59, 0.3, 1, 0.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402*0.05.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -12. Suppose -2*z + 5 = 5*c + 3*z, 2*c - d = 2*z. Suppose -c*p = l - 6, 4*l = 5*p + l - 26. Solve 0 = -s + 1 + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 19*i - 14 = -5*s, i - 4*s = -13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((9\/2)\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 3*c**2 - 566 + 2*c + 577 to the form w + f*c + o*c**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/156 (b) 14 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381344?\nAnswer: 2, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31869964 to the power of 1\/2, to the nearest integer?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*m**3 - 67628250*m**2 - 30057036*m - 3339672 = 0. Calculate m.\nAnswer: -2\/9, 278306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 2*n**6\/15 + 11*n**5\/30 - 41*n**2\/2 + 29. Let t(c) be the second derivative of p(c). Find the third derivative of t(k) wrt k.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192463, -1192522, -1192617, -1192748?\nAnswer: -1192915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551122 divided by 1927.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29188491?\nAnswer: 3, 9729497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 15*a**2 + 15*a**2 - 23*a + a + (a + 25*a - 5*a)*(4*a - 5*a + 2*a).\nAnswer: 22*a**2 - 22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/8929 or -1?\nAnswer: 28\/8929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440 is divided by 526.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*r - 18 = -3*r, 0 = -r. Let l be 8\/w + (-3)\/9. Put l, 3, -3 in descending order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -100, -162, -232?\n\"Answer: -4*t**2 - 42*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 10 - 19. Solve -v - p = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 30*u + 5. Let n be p(30). Let a(x) = 40*x**2 + 12*x - 12. Let w(t) = -16*t**2 - 5*t + 5. Determine n*a(r) + 12*w(r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - (-163 + 299 + 4)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5 + (-3 + 2 + 0)*(6 - 3 - 1))*(2*m - m + m)*(18*m**4 - 41*m**4 + 10*m + 22*m**4).\nAnswer: 10*m**5 - 100*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -2293)\/(-1 + -1 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16959.9 years in millennia?\nAnswer: 16.9599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*i + 55 = 366*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 0*y + 20 + y - 2*y. Let c be l(15). Find the third derivative of -c*k**2 + 14*k**3 + k**2 - 7*k**3 wrt k.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1100101?\nAnswer: -1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -16*q**3\/3 + 39*q**2\/2 - q. What is the tens digit of i(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 10. Let t(n) = -2*n + 20. Let o(w) = 13*h(w) - 6*t(w). Suppose m - 2*m = -4, -5*m = -4*l - 56. What are the prime factors of o(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n + 8 = 0. Suppose -4*t = -n*t - 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a. Let w be -8 - 220\/(-25) - (-258)\/15. Let n = w + -16. Solve a = -n*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 12 = -2*y, -3*y - 26 = -6*y - 5*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3564855 - -35688501\/10. Let a = -3991 + m. Find the common denominator of (38\/4)\/((-10)\/12) and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*p - 31 - 99, 2*n - 51 = p. Suppose -3*z = -d + 8, -3*z - n = 2*d - 6*d. Suppose g = 4*k, 36 = d*g - 3*g + k. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -1549\nAnswer: 10\/1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871174 not equal to 1871177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 124 = 5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -77. Let s be 492\/27 + ((-20)\/9 - c). Suppose -17*d + s*d = 24. What is the highest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92a403 (base 11) to base 4.\nAnswer: 11230120322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*r - 563 = 1779 - 638 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 13, -4\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:21 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -208, -313, -422?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90172351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/166973, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/6 and 77\/1641438?\nAnswer: 1641438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2513 - 4087 = -11*z. Does 50 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100112 + -212?\nAnswer: 1022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -523 * -0.057844\nAnswer: 30.252412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x**2 - 9*x + 6. Let s be v(3). What is the highest common divisor of s and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79111 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 38178 - 23290 = -15028. Is 36 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10\/113 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -9\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:48 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(5) + 3))**2 + 3*sqrt(20)\/sqrt(4) - (-4 + (sqrt(80) - (2 + sqrt(80) + -1)))**2.\nAnswer: 199 + 99*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d + 3*d + 4*d - 486. Let k(n) be the first derivative of -11\/12*n**4 - d - 20\/9*n**3 + 2\/3*n - 7\/6*n**2. Factor k(g).\nAnswer: -(g + 1)**2*(11*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59337172?\nAnswer: 2, 1583, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 60 = -5*k, -h + 8 + 12 = 5*k. Let m = -40 + h. Which is smaller: m or 1\/16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*(n*n*n\/(n*n**6)*n*n)\/n)\/n**40 assuming n is positive.\nAnswer: n**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160 - 102 + 18104 = 467*m - 386 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:52 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 5*k + 115. Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000111101 (base 2) to base 10.\nAnswer: -8253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22968\/7250*(-5)\/(-2) + -8?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 14, 5, -14, -43, -82?\n\"Answer: -5*s**2 + 16*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 375393.\nAnswer: -22\/375393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9.6 (b) -18 (c) -153 (d) -5 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**4\/4 - t**3 - 3*t**2\/2 + t + 25. Give z(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 + 570. Suppose -4*r = -10*r + m. List the prime factors of r.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 4*r + 2*r)*(2*r + 2 + 3*r - 9*r).\nAnswer: 20*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Suppose -o - 2 = -3*b. Let n(h) = -7 + h**b + 7. Let t(x) = 3*x. Give n(t(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**3\/3 + 3*x**2 + 4*x + 57. Calculate o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 28717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 297.8058nm?\nAnswer: 0.0002978058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11235 (base 9) in base 12?\nAnswer: 43b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -868676486 + -4.\nAnswer: -868676490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 8*a + 1. Suppose 0 = -23*b + 20*b + 24. Suppose 2*w + b = 3*w. Give d(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6664186.12 rounded to the nearest 100?\nAnswer: -6664200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 55*z + 144 = -24*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/6 + 67*d**3 - 6318*d**2 - 83835*d - 385641\/2 = 0. What is d?\nAnswer: -9, -3, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2564 + 2.2464. Which is the third smallest value? (a) -0.11 (b) g (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10 and 4\/8763*(-309)\/(-4120)*-62?\nAnswer: 29210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**2 - 13*s + 329. Let m(k) = -k. What is o(m(z))?\nAnswer: -2*z - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 28*c - 5. Let m be j(-9). Let d = m + -30. Calculate the remainder when d is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - 29\/(-4). Suppose -5*h + t - 37 = 0. Let g(y) = 4*y**2 + 7*y. Let k(o) = -9*o**2 - 15*o. Let d(b) = h*k(b) - 13*g(b). Factor d(x).\nAnswer: x*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-3)\/6*-2. Let a be (1\/3)\/(l\/6). Suppose -5*n + 20 = -2*m, -405*n = 4*m - 401*n + 12. Sort a, m, 3.\nAnswer: m, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -629956.19 rounded to the nearest one hundred?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -70*t**5 - 5*t**3 + 67*t + 5. Let p(m) = 35*m**5 + 2*m**3 - 34*m - 2. Let x(w) = -2*l(w) - 5*p(w). What is the second derivative of x(b) wrt b?\nAnswer: -700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*m + 100*m**3 + 3*m**2 - 6*m - 4*m**2 wrt m.\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 2769\nAnswer: 6\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -34, -141, -364, -745, -1326, -2149?\nAnswer: -3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*z**2 + 81*z**2 + 13*z**2)*(3 + z - 3) in the form r*z**3 + b*z + m*z**2 + o and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/12 + 20*q**3\/3 - 16*q**2. Let y be i(-19). Suppose y*o = 10 + 8. Calculate the greatest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 2*v + 3*r, -3*v + 62 - 1 = -2*r for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3 + 914498*c**2 + 17376116*c + 31094224 = 0.\nAnswer: -17, -2, 457268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 817 + -402. List the prime factors of y.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/78 + -1 + (-65462)\/(-43636). Let g = 861783\/152726 + o. Find the common denominator of g and 57\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/15 (b) -0.106 (c) 2 (d) 120 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11\/3, -2\/3, 4, 1.2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5368*k**3 - 793*k**3 + 692*k**3)*(-4*k + 4*k + k).\nAnswer: -5469*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653112 is divided by 2653108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1199 - 2*t**2 + 1199.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1663*w**4 + w**3 - 4*w + 187845.\nAnswer: -6652*w**3 + 3*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*o + 1197 = 17*o - 20*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 90 = -2*n, 93 = -n - 6070*d + 6067*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2842 = 4*y + 2846, -5*t + y + 28 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -693, 0, -2\/69 in descending order.\nAnswer: 0, -2\/69, -4, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 + 5*l + 6. Let v be o(6). Let d be (v\/16)\/((-4)\/3). Let s = -1\/24 + d. Is 4 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95.4 - 51.4. What is the closest to -1 in q, 0.2, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -0*n. Let i be n\/(-1 - (3 - 5)). Solve 5*d + 15 - 35 = i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -929, -2196, -3981, -6290, -9129?\nAnswer: -12504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -7*h**4\/4 + 7*h**3\/6 - 25*h**2. Let c be f(-7). Let d be ((-7)\/c)\/((-3)\/(-3)). Is 1 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**8*s)\/s)\/s)\/s**(-13) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.2, 0.5, 0, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 1 (c) -1\/4 (d) -3 (e) 3 (f) 96465\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpdpwdwwdd. What is prob of sequence dw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 4 + 12 - (-12 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301112010113 (base 4) to base 10.\nAnswer: 12935447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*y + 10, y + 3*s - 449 = -459 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l + 2*l - 23*l**4 + (-l**3 + 0*l**3 - l**3)*(0*l - 3*l + l).\nAnswer: -19*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - -4) + -7 - -4) + 1. Suppose -5*f = 2*y - 7*y - 4330, -z*f - 3*y + 1712 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from {x: 13, z: 6}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:20 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17971, 35982, 53991, 71998?\nAnswer: 90003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 * -190.8\nAnswer: -725.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + v + 0*v)*(v - 38*v**2 + 5*v**2 + 6*v**2).\nAnswer: 162*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11 - 2*p + 21 + 12 + 3*p. What are the prime factors of x(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 11) to base 15\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/7761 + 69769\/62088. Factor 15\/8*g**3 + 1\/2*g**2 + 1\/4 - v*g.\nAnswer: (g + 1)*(3*g - 1)*(5*g - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0498031l to millilitres.\nAnswer: 49.8031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/4, -4\/7, -98, 0.1 in descending order.\nAnswer: 2, 3\/4, 0.1, -4\/7, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, 100, 662, 1564, 2806, 4388, 6310?\nAnswer: 8572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p - 5*p + 124 = 0. Solve 3*o - 7 = -p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 - 5\/6*o**3 - 13*o - 1\/4*o**4 - 2*o**2 - 1\/20*o**5. Calculate b(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2131.7 + -308.7. Let v = h - 1823.0897. What is v rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66328662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402255423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 22716.497 to the nearest one hundred.\nAnswer: 22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 19*d**5\/150 - 7*d**4\/10 + 8*d**3\/15 - 595*d**2. Factor i(v).\nAnswer: 2*(v - 2)*(19*v - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*g**4*x - 5462*g**3*n**2*x + 2*g**2*n**2*x - 12138*g**2*n**2 + 2*g**2*n*x + g**2 + 2*g*n*x - 2*g*x wrt g.\nAnswer: -6576*g*x - 32772*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59a419 (base 11) in base 9?\nAnswer: 1708266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*f - 1699*v + 1694*v, 3*v + 81 = 69*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7218987 to the power of 1\/2, to the nearest integer?\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by -2540583.\nAnswer: -30\/282287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -884394055\/4158 - -212697. Let v = f - -34\/189. Let o = v + -1\/33. Which is the closest to -0.1? (a) o (b) 1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14377254 divided by -625098?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:09 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = -5*m + 195565, -156473 = -4*m - 5*d. Suppose -m = -21*x + 13*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6315 * -22.846.\nAnswer: 60.119249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 6. Let r be w(6). Suppose -a = -r*a - 174. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 83*h - 578. Determine t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqvqqvqqqqqvqqqvqq. Give prob of sequence qvqq.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1254 and 24398.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589 = 7*c - 146. Suppose -4*v = -h + c, 347 = 5*h + 5*v - 153. What is the remainder when h is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11034271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 258*5\/5*3\/6. Let o = x + -122. Solve 2*k - o*k = 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = -0*n. Which is the nearest to -3? (a) -1 (b) n (c) 1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303953614 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n - 3. Let s be g(-1). Is ((-190)\/(-3))\/(s\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.286433ml to litres.\nAnswer: 0.002286433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 194435921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2182 and 37.\nAnswer: 36.7818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6507*n - 4914*n - 20066*n - 2420*n - 6609*n to the form d + o*n and give o.\nAnswer: -27502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186844227 is divided by 730?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.01. Let x = 40282 + -40282. Suppose -q - 3 = -0*q. Which is the nearest to x? (a) -2 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128775\/1316 - 4020\/47. Let y = 51\/4 - s. Let h = -9 + 12. Which is the nearest to -2? (a) h (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**29\/(q\/q**(2\/9))*q**25\/((q\/(q*q*q*q\/(q\/(q\/q**22))))\/q))**39 assuming q is positive.\nAnswer: q**(4121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 1264, 3363, 6914, 12271?\nAnswer: 19788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r + 0*r + (-3*r + 0*r + r)*(-2 - 2 + 3) + 0*r - 4*r + 5*r - 4*r + 3*r + 0*r + 9*r - 2*r + 11*r)*(r**4 + 0*r**4 - 2*r**4).\nAnswer: -22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l - 4. Let i be -3*(-16)\/36*(-21 + 3). Let j be i\/(-7) + 5\/(280\/32). Calculate u(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3117015 (base 8) to base 15.\nAnswer: 115013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:50 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/33)*h)*h*h**19)\/((h*h**(-3\/14))\/h*h\/h**(-2\/3)))**(33\/4) assuming h is positive.\nAnswer: h**(8541\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 876.5673 milligrams in tonnes?\nAnswer: 0.0000008765673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/60 + 462\/(-120) - 1\/((-40)\/32).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.08 + 0.12. Let p = 2.8 + i. Let h = -2.1 - -2. Is p >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - x. Let i(l) = 3*l + 1. Let n be i(1). Suppose n*o = -3*o - 7. Give f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -1.81\nAnswer: -5.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*d + 4, 4*d = -6*u + u - 41 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1405963196.99999927 + -1405963187. Let c = 10 - q. Round c to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*v**2 + 2*v + 0*v**2 - 3 + 47*v**2 to g + x*v**2 + o*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose 2*w + 0*w - 6 = m. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 + 1504*h**2 - 547600*h - 2214528 = 0. What is h?\nAnswer: -4, 632, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 0, -11*y + 12*y - 2*r - 46 = 0. Which is greater: 387\/7 or y?\nAnswer: 387\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from zqqqqqqzqqqzqzqqzz.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:01 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 3*j**2 - 3*j - 2. Let b be n(4). Suppose -2*p - 5*m + 154 = b*p, -2*m = -p + 32. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172260 and 2034930.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -106, 54, 1, -54, -5 in descending order.\nAnswer: 54, 5, 1, -5, -54, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 25 (b) 2\/17 (c) -5\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 689 - -40?\nAnswer: 6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 72 = -m + 67, -433 = -3*m + 2*p. What is the remainder when m is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29140 - 28247. What is the lowest common multiple of d and 188?\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54\/12)\/((-6)\/8). Let d = 13.4 - 13.4. Put j, -4\/5, d in ascending order.\nAnswer: j, -4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-12 - -15 - (-1 + 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2. Suppose -2 = 4*y + 2. Let d be (-1)\/(2\/(-8) - 0). Let u(k) = d*k**2 - 3*k**2 + 0 + 0. Give y*c(w) + 3*u(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**7\/840 - n**5\/120 - n**3\/6 - 4*n**2. Let x(d) be the first derivative of i(d). Find the second derivative of x(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21057 + 63169\/3. What is the nearest to -80 in j, 1, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k + 71*k = -12. Suppose -k*o = -5*h - 4*o + 324, 0 = o + 3. Let l = -54 + h. What is the lowest common multiple of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 3)*(-t**2 + 0*t**2 + 2*t**2) + (-3*t + t - t)*(8*t - 13*t + 11*t) + (-4*t + t + 5*t)*(-2*t - t + 2*t) to u*t + c + w*t**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ibisbbssssssissiyi.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3.794. Let j = f - 0.794. What is the nearest to j in -5\/6, 2, -0.4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 468 = 12*i. Let g = -35 - i. What is the second derivative of v + 82 - g + 10*v**3 wrt v?\nAnswer: 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - -247. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*5\/(-150))\/((-9)\/(-15)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 250733591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4811, -0.5, 3, 126, 5?\nAnswer: -4811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5304, 5302, 5300, 5298?\nAnswer: 5296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 0. Suppose 0 = u*d - 10*d. Let f(s) = -s**3 - s**2 - s + 68. What is the units digit of f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + -3 + (2 - 0). Let c(d) = 41*d**3 - 12*d**2 + d + 8. Let o(a) = 27*a**3 - 10*a**2 + a + 7. Let s(b) = 2*c(b) - 3*o(b). What is s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/23 + 5\/207. Let p = -5 + 3. What is the nearest to p in 3, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -r + s - 1500430, s = 0. Let t = -670430 - r. What is t rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 4*y**3 - 3*y**2\/2 - 132*y. Suppose -4*u = -3*m + m + 12, 16 = 3*m - 5*u. What are the prime factors of l(m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 16) to base 5\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(61\/(-31) + 2). Suppose 0 = -5*k - 53 + g. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x - 4. Let z(m) = -2*m**3 - 3*m**2 + 3*m - 4. Suppose 0 = 4*u - 6*u - 6. Calculate the smallest common multiple of z(u) and q(-5).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 = 15*h - 2143. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*a - 23*a + 5*a**3 + 4*a - 22*a**2 to the form l*a**3 + w*a**2 + k*a + v and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h - h)*(59 - 119 + 27*h + 58)*(h**2 + 16 - 16) in the form n*h**2 + k*h**3 + a*h + c*h**4 + x and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(55)*1 - sqrt(55)) - (sqrt(330)\/sqrt(6) - sqrt(55))*2)\/((sqrt(120)\/(sqrt(2)*-1))\/(sqrt(432)*1 + sqrt(12) + sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v - 40. Let d = v + 3. Let j = 1277 + -1276. What is the closest to 1\/4 in -0.2, d, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20615184181+-8\nAnswer: 20615184173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, 23, -5, 0 in ascending order.\nAnswer: -7, -5, 0, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.6 + 39.00155988?\nAnswer: 55.60155988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**6\/360 - j**5\/30 + 5*j**4\/24 + 2*j**3\/3 + 3. Let b(p) be the third derivative of k(p). Is 5 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -970, -1909, -2848?\nAnswer: -3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*h*u + 393*a*u**2 + 455*a*u - 3*h**2*u**2 + 20236*h**2 with respect to h.\nAnswer: -a*u - 6*h*u**2 + 40472*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 14*b**2 + 19*b + 8. Let l be j(-13). Let r be ((-8)\/(-10))\/(28\/l). Put -1, 2, r in decreasing order.\nAnswer: 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*r = -141, 0 = -2*w + 5741*r - 5740*r + 31 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000977575925 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 12:22 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -14.6. Let h = 2.8 - x. What is h rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (2 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*x - 21 = 0, -3*x = -r - 4*x - 5. Is (3 + (-156)\/r)*51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/124 and -55\/62992.\nAnswer: 62992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -8. Let u be (-2)\/(-6) + (-40)\/(-15). Let r be -4 - (-6 + 3 + u). What is the smallest value in r, v, 4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 7 - k**2 + 57*k**4 + 19*k - 48*k**4 - 10*k**4 to l*k**4 + n*k**3 + p*k + j*k**2 + a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/42768566 and -3\/32705374.\nAnswer: 555991358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from gowwwhkmmhwohwgghgm?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.01776006022 rounded to 5 decimal places?\nAnswer: -0.01776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 5) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58501?\nAnswer: 19, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727592 is divided by 94.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.7, -2\/25, 3\/8.\nAnswer: -2\/25, 3\/8, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -5*p**4\/3 + 23*p**2\/2 - 22*p. Find the first derivative of w(k) wrt k.\nAnswer: -40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -2 + 1)\/1. Suppose 14 + 160 = b*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6983 divide 1089746031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) -82 (c) 2.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24736*-5\nAnswer: -123680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.737 times -169\nAnswer: -631.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 281070 divided by 810\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5299 + 9674?\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 (base 7) in base 9?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 + 219*m + 113 - 59 as u + i*m and give i.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llhn when four letters picked without replacement from {h: 4, n: 7, l: 2, j: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*b + 7*a - 496, 0 = -5*a + 20. Calculate the lowest common multiple of 220 and b.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59736192 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1327235 by 2917.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 452173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -s - 11, r + 19*s - 23*s + 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41546*b = -41808*b + 14148 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3316*r**2*w**2 + 2*r**2 + 45*r*w wrt w.\nAnswer: -6632*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1149 = -145. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17\/6*n**2 + 5\/3 + 13\/6*n**3 - 1\/2*n**4 - 37\/6*n = 0 for n.\nAnswer: -2, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26424 is divided by 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(5)*2)\/sqrt(4) + ((sqrt(50) + sqrt(800))*6)\/sqrt(10).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.154 - -1.154. Let f = -1.3 - -4. Let i = 1.7 - f. Which is the biggest value? (a) n (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*f**2 - 72*b*f + 3*b + 68*f**2 + f + 115334 wrt f?\nAnswer: -2*b*f - 72*b + 136*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4 - w**2 + 2 + 5*w - 13*w. Suppose -3*i + 262 - 283 = 0. Calculate the least common multiple of m(i) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*x - 2*m**2*x + 152671*m**2 + 64*m*x - 1103*x wrt m?\nAnswer: -12*m*x - 4*x + 305342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -200443.\nAnswer: 4\/200443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170823355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39978*x**4 + 8521?\nAnswer: 159912*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 19.9. Let t = -27 - -22.95. Let s = 0.05 + t. Which is the closest to x? (a) -2 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:39 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1250 - 2*v - 1330 + 2533.\nAnswer: -2*v - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1203 (base 7) to base 16\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 24*x**3\/5 - 3*x**2 - 252*x\/5.\nAnswer: 3*x*(x - 3)*(x + 4)*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 7) + 25 - -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 7:24 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atc when three letters picked without replacement from tattctattatatt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/4)\/2 + -8 + -7 + 17. Solve -j*s = -143 + 199 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1083*r**2 - 4333 - 12866*r**2 + 874*r**2 wrt r.\nAnswer: -21818*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492.335 micrograms in grams?\nAnswer: 0.001492335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1.6.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1812563*g - 4360 = 1812454*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*10\/(-3). Suppose -20 = -k*g - 5*f, -g + 2*f = 1 - 5. Suppose 5*m - 180 = 5*r, 129 = 5*m + g*r - 60. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/90 and -161\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, k: 2, c: 2, z: 3, n: 6}. What is prob of sequence nkc?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19446213?\nAnswer: 3, 6482071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*n + 4*w, 0 = 5*n + 5*w - 29 - 16. Solve 3*k = -n - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3247372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:52 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:33 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10030231 + -10?\nAnswer: -10030241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 - 3272 = 393*g + 18*g. Suppose -2*n + n = 0. Suppose n = 2*x - 5 - 5. Sort g, x, 3, 1 in increasing order.\nAnswer: g, 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 8:28 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1380, -2\/11, 0.0392, 0.3 in increasing order.\nAnswer: -2\/11, -1\/1380, 0.0392, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2022, -2020, -2016, -2010, -2002, -1992?\nAnswer: -1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*t + 12 = -194*t - 4 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*x - 28, -2*f - f - 14 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-154) - (-48216)\/3696.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (114\/18)\/(2\/6). Suppose 2*l - l = f. Solve 0 = -k + 4*t + 17, k - 5*t = -k + l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -664 - -665. Which is the smallest value? (a) 4 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37973 divided by 2921.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 195.\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2757 * 96.\nAnswer: 264672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0. Let d = 298\/5 + -60. Which is the biggest value? (a) j (b) -3\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 1. Suppose -3*j - 15 = -q*j. Suppose 0*g - 3 = -3*i + 5*g, -5*i + j*g + 21 = 0. Calculate the remainder when 11 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588433963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -996 and 323 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 384310473 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -2*q + 88, 2*q + 21502 = -i + 21505 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - z - 1 = -0*i, -4*i - 2*z + 2 = 0. Let v(d) = i - d + 0 - 13*d - 20*d. Let o be v(-1). Which is greater: 35 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - -0.07. Let j = d - -0.4. What is the third smallest value in j, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*d - 96, -19*z = 4*d - 15*z - 72. What is the least common multiple of 20 and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -567\/5 - -3974\/35. Sort 2\/3, -4, -5, g in decreasing order.\nAnswer: 2\/3, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168*p**4 - 2963*p**3 + p**2 + 847121*p.\nAnswer: -4032*p - 17778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371140?\nAnswer: 2, 5, 7, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -51067387*h + 46785. Let x(k) = -21833*k + 20. Calculate -4*a(i) + 9357*x(i).\nAnswer: -21833*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -117, -10\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 16*o**2 - 112*o - 340. What is l(-10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -3.3, 240, -1 in descending order.\nAnswer: 240, 33, -1, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*v = 60, v = -2*g - 2*g + 85. Find the common denominator of -17\/15 and g\/(-2)*10\/(-132).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - 5*q - 2. Suppose -25 = -5*n - 10. Suppose n*a + a - 84 = 0. Calculate the remainder when a is divided by j(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -8 - -6) + (-7 - -18 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kajjaaajjjkjajaaaa. What is prob of sequence aka?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 13*g = 39. Calculate the remainder when (4\/(-6))\/(12\/(-450)) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let q(s) = -20 + 2*s**2 - 10 + 30. Calculate w(q(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1122 and -0.085274915?\nAnswer: 1122.085274915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 4*d + 9. Let l be (-5 + 0)\/(1 - 0). Let u(v) = -v**2 + 2*v - 5. Determine l*u(s) - 3*j(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111463, -222801, -334139, -445477, -556815?\nAnswer: -668153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 10164?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(14) + sqrt(14)*-2*-5 + sqrt(42)\/(sqrt(3)*1))\/((sqrt(252)\/(sqrt(192) + sqrt(12)))\/sqrt(3)) + -2.\nAnswer: -5 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i + 4. Let v(r) = 15*r + 7. Let b(n) = -5*k(n) + 3*v(n). Suppose 12 = -2*o + 2*a, o = 5*a - 4 + 6. Let t be -4 - (-76)\/28 - o\/28. Determine b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 1\/33, -0.1, 5, -0.9 in increasing order.\nAnswer: -0.9, -0.1, 1\/33, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 - -907\/5. Factor 0 - o**3 + 0*o - k*o**2.\nAnswer: -o**2*(5*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*l - 4*x, -x - 88 = -5*l + 67. What is the remainder when l is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33075.31 litres to millilitres.\nAnswer: 33075310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 4*x = 13, -4*m + 3*x = 0. Let i(c) = -2*c + 4. What are the prime factors of i(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) -2\/3 (d) -0.4 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -238, -475, -712, -949, -1186, -1423?\n\"Answer: -237*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2351 + -2090. Calculate the greatest common factor of 12 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (55 + -37)) + -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-4)\/n))*n)**(-23) assuming n is positive.\nAnswer: n**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t + 105. What is p(-19)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20418 is divided by 822?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6276, 7768, 10256, 13740, 18220, 23696, 30168?\n\"Answer: 498*a**2 - 2*a + 5780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161600723, -161600727, -161600731?\nAnswer: -161600735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -954835*l - 6683845. Give m(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -18467.\nAnswer: 40\/18467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 407. Let r(g) = 6*g + 814. Give 7*l(k) - 3*r(k).\nAnswer: 3*k + 407","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1551 + 6702708*x - 6706957*x - 3272 wrt x?\nAnswer: -4249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10852*c + 10938. Determine i(1).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/6 - 1) + 2 + -262. Let g = 512 + r. What is the greatest common divisor of g and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/7)*i**(-3\/2))\/((i\/i**(4\/7))\/i**(-5\/3)))**(24\/5))**(-27) assuming i is positive.\nAnswer: i**(3132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x**2 + 8*x**2 + 64*x**2 - 46574 + 46574.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 1, m: 1}. What is prob of sequence mfs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 6*z + 3. Let a be q(-7). Let m be (a\/12)\/((-3)\/54). Calculate the highest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 425*t + 1320.\nAnswer: -5*(t - 3)*(t + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -52 (c) 241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-172)\/40*16*(-84 - -9)?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-45)\/12)\/(2\/(-16)). Let q = l - 20. Suppose 0 = o + 3*o - 120. Calculate the greatest common divisor of o and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-9)))**17\/((a**27\/a*a)\/(a\/(a*a**(1\/4)\/a))) assuming a is positive.\nAnswer: a**(-717\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = y + 11, -4*p - 2*y + y + 5 = 0. Suppose 0*h - 67 = 3*i + 5*h, i - p*h + 4 = 0. Let c = i + 22. Solve 3*n - n = 3*k + 4, -n = k + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1 + 2) - -3. Suppose -5*v + 341 = -0*c + 3*c, 5*c = n*v - 155. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 253, 1, -0.091, 0.7 in ascending order.\nAnswer: -0.091, 0.7, 1, 19, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.656 - 11.7371. Let o = h - -1.09. What is o rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 9559?\nAnswer: -86031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 9*d**2 + 8*d + 7. Let g be a(8). Suppose g*q - q = 2*q. Factor 0 + 1\/2*c**3 + q*c**2 - 1\/2*c.\nAnswer: c*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {u: 13, w: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 8, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 - 1664962*d**2\/5 - 346519799888*d\/5 - 3118543338528\/5.\nAnswer: -2*(d + 9)*(d + 416236)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42599921 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + 5*i**2 + 21*i - 9. Suppose -z - 7*a + 5*a = 3, -5*z + 2*a = -33. Let y(g) = g**3 + 2*g**2 + 10*g - 4. Determine z*y(m) - 2*x(m).\nAnswer: m**3 + 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 3548*x + 423160.\nAnswer: 4*(x - 745)*(x - 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21152?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.471 and -7.\nAnswer: -6.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 3*j**2 + 0*j - j - 7*j - 9*j**2.\nAnswer: -12*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 9*q**2 - 2*q + 4. Let f be g(-9). Let v be (-399)\/(-12) - (-2)\/(-8). Suppose v = -0*p + 3*p. What is the greatest common factor of p and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:16 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350 is divided by 355.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 135\/42 - 9\/42\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9958952.\nAnswer: 2, 73, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 194498117 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -611 - -671.6. Let j = w - 61. Sort 4, 0, j, 1 in ascending order.\nAnswer: j, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1876 + 2*h**2 - 1876.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 4*m - m + m**2 - 3. Let v = 6 - 9. Let t be g(v). Solve t*l = -2*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let n(m) be the third derivative of m**4\/12 + 85*m**3\/6 - 2197*m**2. What is n(h(j))?\nAnswer: -2*j + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4570, -4571, -4572, -4573?\n\"Answer: -u - 4569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2086818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + o - 4*o)*(-o + 7*o + 2*o) as q*o**2 + b*o + z and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + ((sqrt(243) + 1)**2 - sqrt(243)))*-5.\nAnswer: -1210 - 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruru. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 7469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = y. Let s(r) = -7*r**4 + 3*r**2 + 3*r + 2. Let b(v) = v**4 - v**2 - v - 1. Let h(z) = y*s(z) + 3*b(z). What is the derivative of h(c) wrt c?\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*r + 300, 0 = -r - 4*t - 15 + 84. Suppose -4*l - r = w, -l + 4*w = -5*l - 48. Let p(a) = -a**2 - 15*a + 11. Is p(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8209 is divided by 2049?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*y + 4 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-10))\/(5\/((-40)\/(-12)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 2, -3, -2, -1 in descending order.\nAnswer: 2, -1, -2, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + (4*sqrt(100))\/sqrt(5).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.359, 7\/5, -4, 6, -2\/17, -0.4, 1?\nAnswer: 0.359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, p: 2, a: 2}. What is prob of sequence qp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4372 - -4425. Solve -2*q - s = -47 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 50.95. Let i = 0.1 - -0.2. Which is greater: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16910 (base 10) in base 8?\nAnswer: -41016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 126\/5*(241\/33 - 7). Is f less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b98447 - 5?\nAnswer: -4b9844c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(84) - 1*sqrt(84) - sqrt(84))*2 + sqrt(84) - sqrt(84)))\/(4*sqrt(48)\/(sqrt(4) + sqrt(8)\/sqrt(2))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1086175 by 6.\nAnswer: 1086175\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46909844.1 rounded to the nearest ten thousand?\nAnswer: 46910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 590001.\nAnswer: 47200.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (-2 - 6 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16542679.\nAnswer: 79, 209401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:14 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 + (-32 - -116) + 9.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(32) - (sqrt(105) - (sqrt(105) - -3*sqrt(105)))\/sqrt(7))\/(((sqrt(60) + sqrt(540)\/sqrt(9))\/sqrt(10))\/sqrt(2)).\nAnswer: 13*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304211, -608419, -912629, -1216841, -1521055?\nAnswer: -1825271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 158892, 162410, 165930, 169452, 172976, 176502?\n\"Answer: w**2 + 3515*w + 155376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2418013*n + 1209131*n + 1209132*n.\nAnswer: 250*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*u**4 - 2*u**3 - 2*u - 440.\nAnswer: -332*u**3 - 6*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4\/3)*p*p*p**(2\/17))\/((p*(p**(2\/45)*p)\/p)\/(p*p**9)))**(-10\/9) assuming p is positive.\nAnswer: p**(-20512\/1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4532\/824*(-6)\/(-286)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85*(-8)\/6*113\/2260.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 3. What is the tens digit of (-2)\/3 - (-41)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 + -2)*217. Suppose -j = -5*m + 103. Let l = 123 - m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 53. Suppose 13 = -4*v + q, -2*v - v - 3*q = u. Let p = 0 - v. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 154, 150, 146, 142, 138?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 277078 and 939269.\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 6 + 0 - 2 + 4*c**3 - 2 - 3*c**2. What is the remainder when 59 is divided by m(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-222)\/(-504) - 0 - 2\/8. Let 0 - 2\/21*u**2 + 4\/21*u**3 + 2\/21*u**4 - p*u = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -596*p**2 - 568*p**2 + 1096*p**2.\nAnswer: -68*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2841191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32153772 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -50*k**3 + 6*k - 5. Let t(q) = 17*q**3 - 2*q + 2. Calculate 4*c(r) + 11*t(r).\nAnswer: -13*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -717 - -2967. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25483.8 to the nearest one hundred.\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 45*l**2 + l - 2. Let i be m(2). Suppose -4*j - 3*g + i = 0, -j + 13 = -2*g - 21. What is the remainder when j is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**3 + 1916587*d**2 + 40378384*d.\nAnswer: -72*d + 3833174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - p - 70 = -10*l, -14 = -l + p. Suppose -l = 3*h + 31. What is the least common multiple of 12 and (-3)\/(-2)*(-20)\/h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*1 - 0\/2. Let b be 4\/28 + 144\/(-28). Let h(o) = o**3 + 6*o**2 + 5*o + 2. Let q be h(b). Solve -q*g = -a*z - 5, 4 = -4*z + 3*g - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 884607419 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from qqqleyeezzleeeeje.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119092 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - -2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-10) + 3\/(-5). Suppose n = -4*z + 7*z - 102. Is 4\/(-10) + z\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1208 less than -324594\/269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 27*q**3 - 60*q**2 - 36*q.\nAnswer: -3*q*(q + 1)*(q + 2)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, z: 1, c: 1, k: 1, t: 1}. What is prob of sequence kc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30826 divided by 2\nAnswer: -15413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*p**5 - 8*p**5 - 10*p**5 + (2*p**2 - 2*p**2 - p**4)*(-1 + 2*p + 1).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2233 - -24547\/11. Let h = m - -122\/99. Which is the nearest to -1? (a) -4\/7 (b) -3\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -3 - (1 - -1). Suppose 2*t + 0*r - r - 43 = v, -61 = -3*t + 5*r. What is the least common multiple of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520918899?\nAnswer: 3, 41, 43, 98491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 7, -1\/3, -4, 1\/3, -2\/97?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.016 in 2, 0.24, -6, 3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 - n + n + 25*n**2 + 4*n**3.\nAnswer: 4*n**3 - 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7342, 30758, 69824, 124570, 195026, 281222?\nAnswer: 383188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*x**3 + 94*x - 94*x + (-5 - 2*x + 5)*(-x + x - x**2) + (-3 + 3 + 2*x)*(-5*x**2 + 3*x**2 + 4*x**2) + 3*x**3 + x**3 - x**3.\nAnswer: 46*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208 + 208 - 4*u)*(-5 - 10 + 5) + 5 - 3 - 1 + u + 0*u.\nAnswer: 41*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 12. Calculate w(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858875*u + u**2 - u**2 + 1938*u**3 + 858873*u.\nAnswer: 1938*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*s + 1 - 10*s + 11*s to the form z*s + g and give z.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70143500 divided by 17535875.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = 109 - 25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030724 + c**2 - 2061495 + 1030773.\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82965127.282 and -185.\nAnswer: 82964942.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1040)\/91)\/20)\/(8\/392).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**3\/3 - 393*b**2\/2 + 527. Let c(j) = 2*j**2. Determine q(c(o)).\nAnswer: 4*o**4 - 786*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (97 + -90)*(1550\/14 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = -23*k + 192 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 26*i - 1865*i**4 + 1865*i**4 + 16*i**5 - 10*i**5 - i**5 + (3*i**2 - 4*i**2 - i**2)*(-2*i + 2*i - 2*i**3) - i**5 + 3*i**2 - 3*i**2.\nAnswer: 9*i**5 - 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 4*m. Let n be 2\/3 - (-22)\/(-6). Let b be p(n). Let u(t) = t**3 + 54*t**2 + 102*t - 98. Let i be u(-52). Solve 0 = b*v + i + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + p + 3*r = 11, 4*p - 2*r + 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 5*y - 12. Let u be o(3). Find the third derivative of 1186 - 591 - 589 + 4*g**2 + 60*g**4 - u*g**4 wrt g.\nAnswer: 936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*l - 54*l = 344. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*p - 36, -3*h + 1 = -4*p - 7. Solve 2*b = 4*b - h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -644, -1895, -4320, -8309, -14252, -22539, -33560?\nAnswer: -47705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + f - 15, 1178*f - 1176*f = m. What is the lowest common multiple of m and 2538?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*g - 20094 = 886*g for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 + -142. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -63, -92, -113, -114?\n\"Answer: 2*b**3 - 14*b**2 + 3*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/2366)\/(250\/390).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -950, -1962, -3182, -4496, -5790?\nAnswer: -6950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2796 and 324580?\nAnswer: 226881420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27a (base 14) to base 2.\nAnswer: -111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8711 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/160 and 109\/40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*i - 16 = 0, -5*n + 2*i + 28 = 4*i. Suppose -l = -5*x - 29, -2*l + l + n*x = -32. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*o - 83. Suppose 5*w - o - 232 = 0. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 92*w - 529. Give s(-83).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 4, r: 1, j: 5}. What is prob of sequence jjv?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3)*1345\/10. Let t = 387 + n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z**3 - 97*z**2 + 50*z - 430. What is w(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -4\/7, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14048, 27884, 41642, 55322?\n\"Answer: -39*l**2 + 13953*l + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -520212.\nAnswer: 15\/24772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1118622 divided by -372874\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -17. Let k = 21.84 + r. Let n = -15 - -17. Which is the third biggest value? (a) k (b) 1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 1165 = 251. Suppose 0 = 4*f + 38 - x. Let j be 2*(-9)\/((-45)\/f). Solve -b + 4*n = 29 - 9, -b - j = -n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5260688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 911 - 911.3. Sort v, 3\/4, 3 in descending order.\nAnswer: 3, 3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 366110*p**2*y**2 + 10*p*y**2 - 44*y**2 - 257*y + 676 wrt p?\nAnswer: 732220*p*y**2 + 10*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 688 + -686. Sort -0.082, -0.3, d in increasing order.\nAnswer: -0.3, -0.082, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -469247, -2\/15?\nAnswer: -469247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133820*j**4 + 373*j**3 + 448684803*j**2 wrt j?\nAnswer: -3211680*j + 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35 - 51 - (3 + (3 - -1)). What is the biggest value in g, -1\/10, -0.13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124843, 124848, 124853, 124858, 124863?\n\"Answer: 5*x + 124838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*a - 305, -2*f - 72 + 371 = 3*a. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001 (base 3) to base 9\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -9*x + 29. Calculate the highest common divisor of x and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.044071 decades in centuries?\nAnswer: 0.9044071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 8 = -6*c + 4*m, 0 = 3*c + 4*m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -839?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -49354 (base 14) to base 10\nAnswer: -179022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6743830*y**3 + 2*y**2 - 22566*y - 152?\nAnswer: -40462980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 5831.\nAnswer: 52479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333 - -342. Suppose -2*g + 12 = 2*g. Calculate the remainder when k is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 - (1 + (-1 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-7)\/(4\/(-4))))\/1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1881 + 148*j**3 + 1881 + 226*j**3)*(2 + 3*j - 2).\nAnswer: 1122*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 9 = -2*h - 3*z, -20 = 4*h - z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2396 - 2403 + 7192 = -3*o + 2399 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 + 2*w**2 - 2*w**2 + (9*w**4 - 3*w**4 - 20*w**4)*(1 + 3 - 2) - 4*w**3 + 4*w**3 + 2*w**4.\nAnswer: -31*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:23 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3495999 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 23088*j**2 + 40230720*j - 15508889856 = 0. What is j?\nAnswer: -7236, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1493, -6078, -13751, -24512?\nAnswer: -38361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10981 divided by 30\nAnswer: 10981\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Suppose p*b + 12 = b. Let g(a) = -19*a - 5. Is g(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*r - 48 - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -1\/3, -2, 4, 356\/7, -21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, t: 2, u: 1}. Give prob of sequence zt.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1123946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 2*g**3 + 22 + 18 + 69*g**2 - 43 in the form y*g**2 + f*g + v + n*g**3 and give y.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + 2 + (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25647274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 6*n**2 + 3*n - 6. Calculate a(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 56 = -2*t. Is ((-20)\/7)\/(t\/(-49)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.2 - -62.8. Let d = y - 64.6. Let r = -1.4 + d. Put 0.1, r, 1 in ascending order.\nAnswer: 0.1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662082, 1324184, 1986300, 2648436, 3310598, 3972792, 4635024?\nAnswer: 5297300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -692453, -692433, -692405, -692375, -692349?\n\"Answer: -q**3 + 10*q**2 - 3*q - 692459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 3:39 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4079 = -488*t - 689*t + 18076 + 4835 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 2*sqrt(66))\/sqrt(3))\/(2*sqrt(98))*6.\nAnswer: 9*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -2*d + 2*i - 117, -3*d + 4*i = -308. Suppose -b + d = 4*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/150 + 98*c**4\/15 + 38416*c**3\/15 + 1666*c**2. Factor i(f).\nAnswer: 2*(f + 196)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1728 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.08 + -0.08. Let j = -2413\/39 - 17201\/117. Let g = -209 - j. Which is the fourth smallest value? (a) t (b) g (c) 5 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/12 + 0)*(2 - 0). Let q = 73 - v. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let k be m(3). Suppose 0 = -20*t + 21*t - 5. Suppose 0 = -2*y - 3*g + 2 + 9, -17 = -2*y - g. Solve -h = d - 7 - 0, -t*h = -k*d + y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3\/(z*z**(1\/9))*(z**7*z)**(5\/7) assuming z is positive.\nAnswer: z**(479\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 39.0896 decades?\nAnswer: 3.90896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:08 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i + 4. Let x be l(0). Let k = 17361 - 17357. Solve 2*w - 2 = -k*b, x*w = 5*b - 2*b - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 1661*n**2 - 55798*n + 256311.\nAnswer: (n - 27)*(n + 863)*(2*n - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 158029620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2. Let w(f) = -f**2 - 9*f - 4. Let l be w(-6). Let y(p) = l - p - 14. Calculate t(y(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15320 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.04884.\nAnswer: -0.19536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 416\/(-448) - -1*9\/21. What is the smallest value in -29, o, 5, -2, -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/283 or 1?\nAnswer: -4\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2335 - -2346. What is the closest to 2\/11 in t, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-144)*-6 - -1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - 8*l**2 + 123474*l - 123474*l. Let w(u) = 850*u**2. Give w(k(a)).\nAnswer: 21250*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31353 divided by 2\nAnswer: -31353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(-1 + sqrt(363)) + 5)**2 + 3)*4 + 0.\nAnswer: -117840 + 15840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 - h. Let f(q) be the first derivative of 1 + q**2 + q**2 - 2. Calculate p(f(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30235523 (base 6) in base 5?\nAnswer: 210014043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85233.7 and -1494320.18.\nAnswer: -1579553.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 - 261*c + 40. What is p(-33)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233 - -538. Let k = g - 284. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526380 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.384, 0.3, 7, 1\/24, 4 in ascending order.\nAnswer: -3\/2, 1\/24, 0.3, 0.384, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -3 (b) 2\/15 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -129450?\nAnswer: -129448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/52163 or 0?\nAnswer: -2\/52163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 10. Let r be i(7). Suppose 0 = r*c + 4*j - 88, -3*j + 24 = c - j. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-14))\/3 - (-35)\/392. Sort -0.6, 1\/3, x in increasing order.\nAnswer: -0.6, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**2))\/y)\/y**(12\/11) assuming y is positive.\nAnswer: y**(-45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4036 = 2*c, -2*c - 10 = -0*c. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17544548353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.336724 years to decades.\nAnswer: 0.8336724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:33 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 8:48 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 347650159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7135.8 rounded to the nearest 10?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001078872 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/7, -37\/2?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 21, 0.04, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 19865?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**4*g)**(5\/3))**(-28))**(-1\/65) assuming g is positive.\nAnswer: g**(140\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4454033*c**2*y**3 - 17*c**2*y**2 - 64*c*y**3 + 3659404*c*y**2 wrt y?\nAnswer: 26724198*c**2 - 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65379 is divided by 510.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11852*f + 12028*f = -6864 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 517 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 2}. What is prob of sequence wwzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -61757395.\nAnswer: -61757390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21115812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f**2 - 7. Let v = -31975 + 31980. Let g = -3 + 6. Let a(c) = -2*c**g - c**2 + 3*c**3 - 2*c**2 - 5. Calculate v*t(r) - 7*a(r).\nAnswer: -2*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 1. Let i(o) = -8561 - 8558 - o + 17118. Give -2*i(s) - 3*m(s).\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -23. Solve k = 2*g - g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -19434*t**2. Let l(a) = -44*a - 92. Determine l(z(j)).\nAnswer: 855096*j**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4309\/5 + -865. Calculate the common denominator of -37\/28 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - c + 1. Let w(z) = -11*z**2 - 6*z + 6. Let i(n) = w(n) - 6*y(n). Let l(f) be the first derivative of -11*f**2 + 3. Determine l(i(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 43*f**3 + f**2 - f + 4. Let q be h(3). Let a = -614 + q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39737194, 39737192, 39737190, 39737188?\n\"Answer: -2*a + 39737196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 13. Let d(c) = c**3 + 46*c**2 - 196*c + 205. Let s be d(-50). Let h(t) = 9*t - 26. Determine s*z(l) + 2*h(l).\nAnswer: -2*l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 40*n**2 + 8*n - 45. Suppose -33*q - 25 = -38*q. What is the hundreds digit of c(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 5*n**2 - 10*n - 14. Let y(g) = -6*g**2 + 44*g - 20. Let f be y(7). Determine p(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 2\/105*c**7 - 4*c**2 + 0*c + 0 + 0*c**5 + 0*c**4 + 0*c**6 - 1\/3*c**3. Differentiate r(w) with respect to w.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 35, 57, 91, 143, 219?\n\"Answer: o**3 - 3*o**2 + 18*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 627 (b) -10 (c) 0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -7 - (-32 - -21 - -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11627 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - -84. Let t = -103.999844 + u. Round t to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -42*a**3 + 25*a + 88. Calculate the remainder when x(-3) is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5291 + 3)*((-70)\/(-40))\/(-7).\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -864000 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200 and 1487625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1750 and -18337.\nAnswer: -16587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*5\/((-25)\/10). Let i(v) = -u - 4 + 3 + 5 - 89*v. What are the prime factors of i(-1)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -22*i + 23*i. Let z be i + 5\/3 + 1280\/24. Suppose -528 = -3*b - z. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7324100 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/772481 in -2\/13, -1, -23?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -215 - 175?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 3*w + 48. Suppose 5*f - 28 = -w. Solve -5*d + f*s - 5 = 0, 2*d + 0*s + 19 = 5*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1764*i**2 + 111*i**2 - 246*i**2.\nAnswer: -1899*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 109*n - 55. What is the tens digit of j(59)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -4*t**5\/35 + 38*t**4\/7 - 1444*t**3\/21 + 273. Suppose h(l) = 0. Calculate l.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14810 - -14801. Put 0, 5, -6, s, 2 in decreasing order.\nAnswer: 5, 2, 0, -6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - q - 3 = 0, -3*q - 8 = n - q. Suppose -n*j + 5 = -1. Which is the third biggest value? (a) j (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 - p**3)*(-2618 - 2835 + 4665).\nAnswer: 788*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -841 - -843. Is (100\/6)\/(c\/15) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -249 - -125. Let d = 2205.667 + -2329.6. Let t = r - d. Round t to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + ((-970)\/14)\/(-5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/28? (a) -217 (b) -0.5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10 + 2 + z + 4*z. Let r(k) be the third derivative of 0 + 11*k**2 - 1\/6*k**4 + 0*k + 7\/6*k**3. Determine -6*r(p) - 5*t(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t + 6. Let r(n) be the first derivative of n**4\/6 + 5*n**3\/6 + 2*n**2 - 1. Let q(m) be the second derivative of r(m). Determine -3*k(a) + 4*q(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/60 and -73\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5 = 10, -2*s - 1 = y. Suppose -y*g + 76 = 301. Let o = -18 - g. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d - 13*d + 60*d.\nAnswer: 102*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*a + 22260*a**2 + 505*a - 257*a + 38900*a**2.\nAnswer: 61160*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, 3, -3, -127, -1, 68 in ascending order.\nAnswer: -127, -3, -2, -1, 3, 14, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35141974 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21*d**2 - 6. Let b(g) = 20*g**2 + 5. What is 7*b(s) + 6*u(s)?\nAnswer: 14*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2341.\nAnswer: 2\/2341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44458 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 8 - (5 + -12 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/7 - 332489*u**3\/7 - 27628420767*u**2\/7 + 209317588027*u - 205370623276 = 0?\nAnswer: -166271, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -33*d + 381. Calculate x(-12).\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -5.04. Let m = 947 - 956. Which is bigger: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g - 14 + g - 23 - 8*g**2 - 8*g. Let j(x) = 16*x**2 + 5*x + 74. Let p(y) = -2*j(y) - 5*n(y). What is the derivative of p(r) wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -416646 + 5?\nAnswer: -416641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 46 + 14. Let j = r + 29. Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -98?\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654*m = 2059*m - 810 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4207664 or -4207658?\nAnswer: -4207664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 5*g + 4 = 15*a, 0 = -4*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 + 26*n - 3 - 11 - 31*n**2 - 9*n**2. Let q(m) = -m**3 - 8*m**2 + 5*m - 3. Let l(t) = -3*b(t) + 14*q(t). Factor l(g).\nAnswer: -2*g*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-567)\/(-567)*44*1.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (28*s**2 - 23*s**2 - 44*s**2)*(4*s**2 - 4 - 225*s + 225*s).\nAnswer: -156*s**4 + 156*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1808 divided by -54483.\nAnswer: 1808\/54483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53424003 to the power of 1\/2, to the nearest integer?\nAnswer: 7309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 12 = 20*p. Let a be ((-4)\/p)\/((-2)\/72). What is the second derivative of -8*h - 45*h**4 - a*h**4 + 95*h**4 wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = 3*o, -t - t + 14 = -4*o. Let p be o\/(-4)*(2 - 6). Let v = p + 4. Solve v*k - m = 1, -3*m + 21 = 4*k - 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose -4*d + 12 = a*n - 0*n, -3*n = 4*d - 11. Let j be (-3)\/7 - (-192)\/56. Solve 3*o = -2*r, -j*o = d*r + r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1109.31*-5\nAnswer: 5546.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - 7*s + 3. Let r = 7 - -7. Let d(h) = 7*h**2 - 4*h - 1. Let z(v) = -v**2 + v. Let j(m) = -d(m) - 6*z(m). What is r*j(x) - 4*f(x)?\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Suppose 4*l = v*q - 5*q + 29, -4*q - 4 = 0. Let g be l\/(-4) + -1359 + 1. What is g rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 - 74*m + 17. Let n be y(6). Let l be 5 + 2 + (-4 - -2). Suppose a - n*a = -q + 91, -l*q + 433 = 2*a. Is 29 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (15 + 97)) + 56.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k*k*k**(3\/4))*k)\/k)\/k)\/k*k*k**3*k)**(-3\/7) assuming k is positive.\nAnswer: k**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 104764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 486316632*b*d + b - 181109506*d wrt b?\nAnswer: 486316632*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*v + 5*w, -v - 5*w + 34 = 2*v. Suppose -5*p - 7 = 4*k - 0, 0 = -v*p + 4*k - 17. Put p, 2, 3 in decreasing order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016633173 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0 - 2. Suppose 3*q - x + 15 - 5 = 0, -5*q + z*x - 17 = 0. Let d = q + 8. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*j - 54*j - 168*j)*(-3*j**3 - 8 + 8).\nAnswer: 933*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*p**2 + 4 + 3 - 3 - 4.\nAnswer: -605*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmmr when four letters picked without replacement from mcmmmmrcccm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 67142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 5226913.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 0.4, 0.1, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {n: 4, u: 1, i: 1, g: 5, m: 1, t: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.6 + -6.14. Let g = s + -2.46. Let i = -42 - -251\/6. Which is the third biggest value? (a) 4 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.07943 meters to kilometers.\nAnswer: 0.07607943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -0.85. Let h = v + -0.45. Let g = 0.4 - 0.7. Which is the third biggest value? (a) h (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8345\/12 + -4171\/6. Sort -110, 1\/3, -1, 0.3, s in descending order.\nAnswer: 1\/3, 0.3, s, -1, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2502)\/(-27) - (-6100)\/(-23790)*26\/10.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgh when three letters picked without replacement from hxtxg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1182 and -121\/6?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17054791 and 2431?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 85.71078mm?\nAnswer: 8.571078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/8 and 155\/98148792?\nAnswer: 98148792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*n - 2 = 0, -n = -5*o + 37 + 15. Suppose 11*x - o*x - 6 = 0. Solve f = x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191054 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/35)\/((-4)\/(-7)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -10*g + 34. Let x(p) = 6*p**3 - 7 - p**3 + 6*p**2 + p**2. Let s(w) = -2*w**3 - 3*w**2 + 3. Give g*s(c) - 3*x(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = n - 13*t - 2, 3*n - 5*t = 6. Let q(a) = -2*a**3 + 1. Let d(g) = 4*g**3 - 2. Determine n*d(y) + 5*q(y).\nAnswer: -2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-3)*6\/5. What is the units digit of -1*(-1)\/(-1)*k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -510, -732, -1140, -1794?\nAnswer: -2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)*y*y**(1\/4))\/(y**(-15)\/(y**(-3\/7)*y)))**(-2\/53) assuming y is positive.\nAnswer: y**(-5125\/8162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 103*r**3 + 156*r + 461*r**2 + 9*r**5 - 51*r**4 + 58*r**3 - 326*r**2 = 0. What is r?\nAnswer: -1, -1\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247136151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20809 - -5437. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 16) to base 6.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(2*f - 4*f + 0*f)*(4 + 4*f - 4).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75392592 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:46 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4460721416 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/349 (c) -2\/5 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 - 136*h - 8. Let n(q) = -6*q**2 - 170*q - 10. Let i(z) = -5*g(z) + 4*n(z). Let m(o) = 2843*o**2. Determine m(i(w)).\nAnswer: 2843*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-12)*((5 - 4) + 2). Suppose 5*i - 5*v = -20, k*i + 4*v + 43 = -v. What is the nearest to i in 4\/7, 0.5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 591, 701?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 6*r + 3*r - 10, 5*x - 20 = 5*r. Let b be x - (-4 - (4 - 5)). Suppose -j = b*j - 1578. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.51 to the nearest integer.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by 111144.\nAnswer: -65\/111144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31956 rounded to the nearest 100?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1806043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, o: 7}. Give prob of picking 2 k and 2 o.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/z**(-7)))**(-33)\/(z**(1\/4)*z*z*z\/(z**(-1\/41)\/z)) assuming z is positive.\nAnswer: z**(42595\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31513512 + 43?\nAnswer: 31513555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 89225237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 15) to base 10\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 126\/33 - -1*3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)\/i**(-14\/9))\/((i**(-1\/4)*i)\/i*i**9) assuming i is positive.\nAnswer: i**(-313\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/9 - 44908*h\/9 = 0.\nAnswer: 0, 22454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*w = 347*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**4\/s*s)*(s\/(s*s*s**3*s)*s*s)\/s)**(-2\/41) assuming s is positive.\nAnswer: s**(14\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10567 - -10460. Which is smaller: 22 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 16*f - 8. Let q be g(-10). Let n = q - 56. What is the common denominator of 49\/3 and 1*n + (-70)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10234 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-8 - (7 - -6 - (26 - 13))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:17 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d**5 + 56*d**4 + 46*d**3 - 88*d**2 - 56*d + 32 = 0.\nAnswer: -4, -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231295?\nAnswer: 3, 5, 11, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -64271 divided by -5\nAnswer: 64271\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (4 - 6 - -4))\/1. Let h(b) = 2 + p*b + 3 - b + 10*b. Is h(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (15 - -1) - 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 4)*(-2 - 2*s**3 + 2) + (-s**2 + 6*s**2 - 3*s**2)*((-14 - 8 + 15)*(-3*s + 0*s + 2*s) + 2*s + 2 - 2) to y*s + x + l*s**2 + m*s**3 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 3838.\nAnswer: -15352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3613*o - 432 = 1207*o + 1210*o + 1220*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 204, 381, 570, 777, 1008, 1269, 1566?\n\"Answer: w**3 + 170*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0275 - -3.0275. What is the fourth biggest value in -10\/7, b, 0.1, 0.5?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4 + 10384*l**3 - 662312*l**2 + 10765808*l - 10113876 = 0.\nAnswer: 1, 27, 37, 2531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324721.3 minutes to nanoseconds.\nAnswer: 19483278000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 28 + 16 + (-1 - (1 + -1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 895b2 (base 14) to base 8\nAnswer: 1212550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**33\/b**(4\/7) assuming b is positive.\nAnswer: b**(227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 12) to base 11\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -1\/39*y**4 + 10*y + 1\/130*y**5 + 1\/39*y**3 + 0*y**2 + 0. Factor h(v).\nAnswer: 2*v*(v - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 156 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/49)\/q))\/(q**8*q)*q**(-6\/5)*q\/(q*q*(q*q**(-5\/6))\/q) assuming q is positive.\nAnswer: q**(-12329\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205 + 209 - 222)*(4*m**5 - 2*m**5 - 4*m**5).\nAnswer: 436*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*v + v + 6 = 0, -6 = -3*z - 2*v. Find the first derivative of -z*s + 2 - 29*s**2 + 20*s**2 + 2*s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46479184 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.2 (c) -451 (d) 0.4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 17*u**2 - 3*u + 2. What is the remainder when 76 is divided by n(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 - 340*g - 2031. Give i(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 1\/6*d**3 + 5*d**4 - 6*d - 1\/2*d**2 + 0. Is 17 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3 - 3*i**2 + 3*i**3 - 5*i + 2*i + i - i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (411 - 171 - 405)*(-4*k + 2 - 1 + 3*k) to m*k + g and give m.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 v when four letters picked without replacement from vddvixvvxdvv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1869)\/(-504)*24)\/(8\/(16\/2)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -304, -327, -360, -403?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a + 15. Let y(q) = 7*q - 13. Let o(l) = 3*f(l) + 4*y(l). Let x be o(2). Solve j - x = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29525, -29482, -29421, -29342, -29245, -29130, -28997?\nAnswer: -28846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 6*u - 2*u + 21 + 0*u + 3*u.\nAnswer: u + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 5*n - 5, -3537*i - 77 = -3542*i + 34*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2528 = -20*a + 4*a. Suppose 11*b - a - 128 = 0. Calculate the greatest common divisor of 130 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459675 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2970*r**2 + 4577*r - 9180*r + 4603*r.\nAnswer: 2970*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 - 49*q**2 + 379*q + 5895. Determine h(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-64))\/((-9)\/60)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*r - 87*r - 20*r + 38*r)*(-5 + 6 + 1).\nAnswer: -338*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b + 30. Let g be n(0). Let f = 30 - 15. Calculate the highest common divisor of f and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**2 + r + 458. Suppose -2*c = 3*c - 45. Suppose -h - 4*h = j, -c = j - 4*h. Calculate y(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21202.8 - 6.3\nAnswer: -21209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 2*j + 20, 32*j + 9 = 3*x + 29*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*a**2)*(-8*a + 3*a + a) - 424*a**3 - 195*a**3 - 23*a**3 in the form q*a + u + o*a**3 + k*a**2 and give o.\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3 - 6 + 3 + b. Let i(h) be the third derivative of h**5\/30 + h**2. What is i(w(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5098516l in millilitres?\nAnswer: 509.8516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c + 13*c = -16*c - 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-952*h**3 + 472*h**3 + 494*h**3)*(-4*h - 2*h + h + 0*h - 2*h + h + (-2 + 0 + 4)*(2*h - 4*h + 0*h)).\nAnswer: -140*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1351 and 25\/21.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*c + 2*n + 54, -32 = -c + 4*n. Suppose -3*y + 240 = y. What is the highest common divisor of y and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235798.\nAnswer: 2, 117899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 4883287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-30))\/((-60)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006349 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 3341?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.673634\nAnswer: -4.041804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.69 - -0.69. What is the closest to -0.1 in q, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29536, -0.063, 3, 2, -4, -3, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240773*p**4*q - 3*p**3 - 30*p**2*q - 2*p**2 + 14*p*q + 3*p + 1 wrt p?\nAnswer: 5778552*p*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (475\/(-95))\/((-1)\/(2\/(-2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -b2?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 - 13*r**2 + 0)*(-1 + 1 + 1).\nAnswer: -13*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 5, t: 1, j: 1, y: 5, g: 1}. Give prob of picking 1 d and 2 y.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -133557 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4 + 4. Let s(c) = 2*c. Let k(u) = -2*u. Let y(o) = -o. Let x(i) = k(i) - 4*y(i). Let m(v) = l*x(v) + 5*s(v). Let a(h) = 4*h. Determine m(a(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z**2 - 2*z + 7. Calculate x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368953027?\nAnswer: 3, 7, 12534143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/12216 and 93\/608.\nAnswer: 928416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 29 = -3. Let f = y - 6. Suppose 3*c - 37 = f*c. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109*(-6)\/510 - (-8)\/(-68)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1392.1268 and 12.\nAnswer: -16705.5216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 22 - 2*s**2 - 22. Let p(c) = -2*c. Give y(p(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11856 and 2432.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:34 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 2. Suppose 2*w + 3 = w. Let q(v) = 7*v - 39. Let n(r) = -14*r + 90. Let i(d) = -3*n(d) - 7*q(d). Determine w*i(j) - 5*t(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/3394 - 191811\/33940. Find the common denominator of 121\/4824 and p.\nAnswer: 24120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 12:49 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6 = -2*f - 6, -5*q - 9 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787978 is divided by 31519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -12233140?\nAnswer: 12233202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 230718307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-40)\/3)*(-376)\/282.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -18*f + 43 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -500.64 to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -14*k**2 + 144*k - 40 = 0.\nAnswer: 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 10. Let u(g) = 5*g + 10. What is 7*u(b) + 6*z(b)?\nAnswer: -b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110864 and 1148?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5579 is divided by 5554?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-5\/12)*m))**(2\/51)\/(m**(-30)\/(m\/(m**7\/m))) assuming m is positive.\nAnswer: m**(7655\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*w + 14*j - 13*j, 2*w = -5*j + 110. Solve -w = 5*k + 8*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 2) + 12 + -30 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 12. Let z = o - -47. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose 5*v - 10 = -4*l, s*l = v - 2*l - 26. Differentiate 1 + v*b**2 - 6*b**2 + b**3 + b**3 wrt b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 + 116b6d?\nAnswer: 116b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21537 and 2.\nAnswer: 43074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(612))**2*4 + sqrt(612) + -2 + -5)*-2.\nAnswer: 72*sqrt(17) + 117420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698 a factor of 241319912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2 - 6*x + 3. Calculate the remainder when l(-3) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 217*k - 214. Give o(72).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/30 - p**4\/6 - p**3\/3 + p**2\/2 - 2*p. Let g(i) be the first derivative of t(i). Factor g(k).\nAnswer: -2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13409 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 398235*t - 2. Let r(u) = 3*u. Determine m(r(g)).\nAnswer: 1194705*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.04. Let g = o + 0.1600002. Round g to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -8b6?\nAnswer: 8b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 39865 divided by -5\nAnswer: -7973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:35 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 16*c + 7 + (1 - 4 + 5)*(2*c + 2*c - 3*c) + (-2 + 6 - 2)*(-3*c + 2*c + 2*c).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:42 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85927612.\nAnswer: 2, 4253, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppsvsskspgpkgkkkk. What is prob of sequence ssg?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -7, 6 in decreasing order.\nAnswer: 6, 3\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60006 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w = 125. Let c = -69 - -122. Let z = c + w. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 341 in increasing order.\nAnswer: -3, 0, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 82 = -18. Suppose -3*j - h*x + 1909 = 0, -2*j + 1278 = -3*x + 5*x. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n**1*n))**(-50)*(n\/(n\/((n\/n**(2\/5))\/n*n)))**(1\/24) assuming n is positive.\nAnswer: n**(-1999\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*a - a - 4*a)*((-4*a + a + a)*(9*a + 9*a + 5*a) + a**2 + 0 + 0) as l*a + h + s*a**3 + u*a**2 and give s.\nAnswer: 1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*n = -12, 5*a + 3*n + 18 = 2*n. Let k(w) be the third derivative of w**6\/120 + w**5\/12 + w**4\/6 - w**3\/2 - 8*w**2 - 3*w. What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)\/((7\/5)\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 at least as big as -7777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 + -2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-3 + 3 + 6*q)*(-1 + 2 + 1).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/264)\/(1*(-1)\/92).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171444?\nAnswer: 2, 3, 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9683 by -6.\nAnswer: -9683\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5 - 804*v**4 - 66436*v**3 - 714844*v**2 - 2580240*v - 2819600 = 0. Calculate v.\nAnswer: -53, -5, -2, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.40647 * 0.5.\nAnswer: -11.703235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(304))**2 + sqrt(19) - -1*sqrt(19)*-4.\nAnswer: -3*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13921 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*s - 1392 = 0, 2*k + 2*k - s = 1117. Let f(m) = 3*m**3 - k*m**2 + 279*m**2 + 5. Let a(b) = -1. Calculate 5*a(q) + f(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82\/337 or -1?\nAnswer: -82\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 552849481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omoc when four letters picked without replacement from oeogmceee?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -15, -18, -23, -30, -39, -50?\n\"Answer: -s**2 + 2*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 6 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -466*h - 2728. Calculate d(-6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 3*u**2 - 6*u - 2. Calculate the remainder when 124 is divided by i(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000256018209 rounded to seven dps?\nAnswer: 0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*j + 64*j + 92 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1)\/(-1)*5. Let k = 5 - n. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/9 - (3211\/585 - 5). What is the fourth biggest value in 3\/4, 6, 3\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(1 - 0)*1. Let i(f) = f - 3*f**u + 2*f**2 - 8 + 0*f**2. Suppose -4*j = -5*q + 8*q + 3, -q = 4*j + 1. Determine i(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n = 4*v - 50*n + 613, n = 2*v + 311. Is -166 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.1056602322 and 65?\nAnswer: 68.1056602322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19601083 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*y**2 + 58*y**2 + 11914*y - 11914*y)*(1 - 2 - 1).\nAnswer: -592*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.716 - 14.716. What is the nearest to m in 6\/25, -1\/5, -2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 23 - (2 - 2) - 11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 103.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c18 (base 15) in base 12?\nAnswer: -5595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**2. Let j(f) = -18*f. Calculate l(j(o)).\nAnswer: -3564*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/9 - 98*c**2\/3 - 66*c - 298\/9 = 0.\nAnswer: -1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(6)\/(sqrt(3) + (sqrt(3) - 3*sqrt(363))) - -6*sqrt(22)\/(sqrt(11) + sqrt(99)\/sqrt(9)))**2.\nAnswer: 20772\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c**(-2\/5)\/c)\/(c**(2\/7)\/c*c)**(-21) assuming c is positive.\nAnswer: c**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.25193731 * -0.4.\nAnswer: 0.500774924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526, -532, -538, -544, -550, -556?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (-6 - (-244)\/20). Which is the second biggest value? (a) 2 (b) 5 (c) z (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:55 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 11*w**2 + 9*w - 13. Give p(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 2, i: 6}. What is prob of picking 4 r?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 356 - 356.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 14*m - 54. Let i be j(4). Suppose 4*z = -i*z + 1764. Is 49 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a milligram in micrograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 1\/3, 1036, -9 in ascending order.\nAnswer: -9, 0.05, 1\/3, 1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:49 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 43, 58?\n\"Answer: 15*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-21)*3\/72?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1836 and 748?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -51.16. Let i = -52.16 + t. Let y = -45 - i. Which is the smallest value? (a) -5 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i - 4*s - 79, -5*i + 5*s = -125. Let u = -5 + 9. Let g(x) = 4*x - 5. What is the remainder when i is divided by g(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5771674?\nAnswer: 1\/5771674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 5. Let g(o) = -524*o**2. Determine g(v(d)).\nAnswer: -4716*d**2 + 15720*d - 13100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - 4.5. Let m = h + 5. Let g = 149 - 1045\/7. Is g smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3252 by 3.\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.599172 rounded to three dps?\nAnswer: 0.599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9584 - -6.9584. Which is the nearest to t? (a) -5 (b) -1\/7 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4946 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q. Let b be -1*3 - (0 + -3). Let t be p(b). Which is bigger: t or -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m*m**(-1)*m**(1\/9)*m**(3\/8))**6)**(-37) assuming m is positive.\nAnswer: m**(14689\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4386929565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 154*h + 0 - 1 - 2.\nAnswer: -154*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5870?\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 27*r + 22 - 68. Let i(u) = -25*u - 2. Let m(n) = -99*n - 9. What is r*m(l) - 9*i(l)?\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14928 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + q + 1. Let y = 12 - 7. Suppose -4*j + 2 = -y*j. Does 5 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 239 and 254927677.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = -10. Let x be (10\/l + 2)*12. Solve -5*p - 11 = x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -13*v**3 - 2*v. Let y(i) = i**3 - i - 1. Let p be y(-2). Let q(r) = 9*r**3 + r. Determine p*q(d) - 5*w(d).\nAnswer: 2*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 g, and 1 p when four letters picked without replacement from ipigygg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 123*a + 4860 = 0. Let z(d) = -705*d - 45. Let w(y) = 32*y + 2. Give a*w(x) + 2*z(x).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 13350?\nAnswer: -13354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14511948 divided by 669\nAnswer: -21692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 3840?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 643229. Suppose 3*m + 0*m - 1311687 = 0. Let x = m - c. Round x to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 27 + 168 = 0. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16276 - 8501. List the prime factors of h.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 1759734*v**2 + 1759736*v**2 + 78*v - 2.\nAnswer: 2*v**2 + 80*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*14.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1045 and 11970.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 130 = 16. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -845, -1262?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2992 + -2992.13. Suppose 15 = 5*b + 5*z, -3*z + 0*z = -b + 7. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67304, -134609, -201914, -269219?\n\"Answer: -67305*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j. Let v = -12 - -16. Calculate the remainder when v is divided by (1 - j)*(-18)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 16) to base 12\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11223103 (base 4) to base 11\nAnswer: -16518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 246971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/3570 + -12013\/403410. What is the common denominator of 59\/27 and k?\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**3 + a - a)*(1 + 2 + 1)*(-2 + 5 - 4) + (1 + 0 + 2)*(2*a**3 - 2*a**3 - 3*a**3).\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppi when three letters picked without replacement from ppi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 3*z - 3*z)*(-z - 2*z**2 + z - 2) - 459143 + 459143 - 642*z**3 as m*z**3 + k*z**2 + i*z + r and give m.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/6 - -4 - 24\/9. Sort x, 5, 11 in descending order.\nAnswer: 11, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 12*g**2 - 32*g + 59. Let s be h(7). Which is smaller: s or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 50298963*c. Let q(i) = 10*i**2. Calculate q(n(z)).\nAnswer: 25299856788753690*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125)*5)\/(sqrt(900)*1).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 1260*y**3 - 4885*y**2 - 18690*y + 22320 = 0. Calculate y.\nAnswer: -3, 1, 6, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1310896151 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 214, 823, 1992, 3907, 6754, 10719, 15988?\nAnswer: 22747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37363 divided by 1?\nAnswer: -37363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1) + 0 - 44. Let a = -20 - i. Let d(y) = 10*y**2 + 12*y - 11. Let p(q) = -q**2 - q + 1. Let s(h) = a*p(h) + 2*d(h). Factor s(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111 (base 2) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2751 * 3172.\nAnswer: 8726172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 79*w**2 - 157*w - 290. Give r(-77).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 6*(-1 + sqrt(125)))**2 - (-1 + sqrt(320) + 5))*-3.\nAnswer: -18471 + 1284*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v - 10*v - 2 + 54*v + 3. Let r = -4 - -3. Let o be b(r). What is o rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63933111?\nAnswer: 3, 11, 167, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -2153?\nAnswer: 17224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -764, -1587, -2410, -3233?\n\"Answer: -823*m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 14) in base 2?\nAnswer: 11100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*z - 10, 0 = 3*x + 2*z + 1 - 6. Let d be 60\/(-20) - x\/(-1). Factor -10*p**d + 216*p**3 + 5 - 5 - 218*p**3.\nAnswer: -2*p**2*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 194452638?\nAnswer: 19445263.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48359*t**5 - 3*t**2 - 16*t + 39?\nAnswer: -2901540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (0 + sqrt(1573))**2 + sqrt(1573) + (sqrt(91)*1)\/sqrt(7) + 3 - (-2 + (2*sqrt(468))\/sqrt(9)).\nAnswer: 19*sqrt(13) + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -471, -1078, -1937?\nAnswer: -3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from cwcccwccwcccccccccww.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-10) - (-4 + 18\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 4*i**3 - 2*i**2 - 3 - 13*i + 17*i + 3.\nAnswer: 2*i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 + 3*t + 1. Suppose -3*q - 20 = q, 3*z + 10 = -2*q. Suppose m = -z - 3. Let g(c) = c. Give m*g(p) + j(p).\nAnswer: p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -25, 3, -5 in increasing order.\nAnswer: -25, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33570809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11 = 3*z, 4*z + 2 = -10. Let r(g) = -g - 14. Let i be r(-17). Sort 28, i, -2, l in descending order.\nAnswer: 28, i, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 0*p + 0*p - 2*p + (p - 1 + 1)*(0*p + 0*p + 2*p) + 6*p**2 - 20*p**2 - 49*p**2 in the form b + q*p + k*p**2 and give k.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3260 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320\/119 - 36\/17. Let q be -3*1 + (-16)\/(-6). Which is the smallest value? (a) g (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 2. Let s be h(-2). Let q(k) = -k**2 + 7*k + 4. What is the least common multiple of 6 and q(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - 6*l + 5 + 6*l)*(2*l**2 + 2 - 2 + (l - 1 + 1)*(-18*l + 4*l - 18*l)) as j*l + b*l**3 + w*l**2 + k and give w.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s**3 - s**2 - 4*s. Let m(d) = -14*d**3 + 5*d. Let y(o) = 5*c(o) + 4*m(o). What is the third derivative of y(t) wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 - 1)) + 10 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 11*l - 7*l - 293, 5*w - l - 1360 = 0. Calculate the remainder when w is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 57. Suppose p*v - 409 = 5*k - 74, -k = v - 67. Calculate the remainder when v is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 3448 - 7*l**3 - 3*l + 3445.\nAnswer: -7*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 + 1. Suppose -2*u + 3*u + 5*w - 16 = 0, 4*u - 4*w = -8. Calculate i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383871 is divided by 95658.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2699, -54, 2, -4 in increasing order.\nAnswer: -54, -4, -2, 2, 2699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/10 - 5*u**4\/4 - 19*u**2\/2 + 2*u. Let o = -18 + 6. Is z(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 20*q**2 + 4*q - 3. Let p be k(2). What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 11}. Give prob of picking 1 r and 3 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1026773360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23457\/5 - -4692. Which is greater: 39\/8 or h?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-12)*(-279)\/1302.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*z + 2188, y - 6*y = 5*z - 2170. Let r = y + -300. Calculate the greatest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 52051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 less than -212\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**3 - 2*s**2 + 6*s + 4. Let u be (6\/10)\/(7\/(-35)). What are the prime factors of w(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1 - 2 + q**2 - q - 2*q**2 + 3*q + 8*q**3. Let p be m(1). Sort p, -4, -1 in ascending order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Let b(h) = h**2 + 2*h + 4. Let x(k) = -b(k) + 4*c(k). Let r be x(2). What is the units digit of -4 + -3 + (r - -37)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 1 (c) -0.4 (d) -17 (e) -2 (f) 4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -581808\/37 + 44889865\/2368. Suppose 5*y - 16159 = -2*k, -4*y + y + 9708 = -3*k. Let q = f - y. Calculate the common denominator of 103\/6 and q.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008806 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 4)*(-4)\/(-30)*-3. Solve -2*f - i = 5, f + 3*i = -2*i + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252 + -174. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqlqlvqvqqvqvqq. Give prob of picking 1 v and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/739081, -5, -0.0249, 4 in descending order.\nAnswer: 4, 1\/739081, -0.0249, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110404 + 11330?\nAnswer: -44024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from slb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*i - 149*i + i**2 + 2*i**4 + 0*i**2 + 1234*i**3 - 1 + 315*i to b*i**4 + q + m*i**2 + a*i + g*i**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 894870 and 6520?\nAnswer: 3579480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -372*p + 7029 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 46*o**2 - 56*o - 415. Determine y(-47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - (-4 - (4 - (-10 - -34)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 535*u + 2. Is t(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 74*h + 21. Determine z(14).\nAnswer: 1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + -69. Let i = a + -40. What is the tens digit of (9 - 14)\/(2\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(1 + ((-2*sqrt(2000))**2 - (1 + sqrt(80)\/sqrt(4))))*5 + 3.\nAnswer: -180*sqrt(5) + 720003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 2 = -16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - w**3 + 2*w**3 + w**3 - w**3 - w**3 + (-w - w + w)*(-w**2 + 3*w**2 + 0*w**2) - 130*w + w**2 - 172*w**3 + 129*w + 158*w**3.\nAnswer: -19*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11256 and 3864?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*a**4*u - 14*a**2*u + 36*a*u - 17*u - 199 with respect to a.\nAnswer: 260*a**3*u - 28*a*u + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = o. Let t(l) = -6*l - 34. Let y be t(o). Suppose -b = y*i - 5*b, 4*b + 4 = 3*i. Solve -5*d + 3*w = -2, -i*w + 5 - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16*-2)\/(1*(-151)\/16912).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 933.2746ug?\nAnswer: 0.9332746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h + 67 = -2*z, -61 = 2*z - 3*h. Let m(j) = -9*j + 17. Let l(s) = -2*s + 4. Let n(k) = z*l(k) + 6*m(k). What is n(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 434 - 436.17. Let c = b - -2.27. Let h = 0.49 - 0.14. Put c, h, 1\/3 in descending order.\nAnswer: h, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 5*j - 2*x - 10 = 0, -4*x + 5 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 35*j - 55. Let a be q(19). Suppose 2*w - 3 + 5 = -b, 5*b + 2*w - 22 = 0. Let l be b*3\/(-18)*2. Sort 3, l, a in decreasing order.\nAnswer: 3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 5*m + 2. Let n be w(5). Suppose -n*h = -4*p - 10, -6*p = -2*p + 4. Solve x = -2*g, h*g - 3*x + 8 + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = 0. Let t(o) be the second derivative of 1\/42*o**4 + s + 0*o**2 - o + 1\/21*o**3. Factor t(b).\nAnswer: 2*b*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-1 - -1 - 2). Let s(q) = -3*q**2 + 3. Let t(b) = -210*b**2 + 105. Let u(y) = 70*s(y) - 2*t(y). Does 42 divide u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.306 + 0.084. Let u = -0.01 - f. What is the smallest value in -0.2, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*-6*((sqrt(2) - (sqrt(2) + sqrt(8) + 0)) + 5).\nAnswer: -150 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 - (42 + -120 - -17)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 36, -5, 4, -96931?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 37. What is g(-26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (3 - -6 - -21) + -14\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-4 - -7) - -26) + (-16 - (-52 + 33))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8577, 8256, 7937, 7620, 7305, 6992?\n\"Answer: g**2 - 324*g + 8900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15977 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 6*p + 133. List the prime factors of k(-12).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81217.\nAnswer: 241, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270591 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 7*x - 2 - 8*x + 4*x. Let w be (-32)\/(-6) - 1\/3. Let j(g) = 49*g + 9. Let l(c) = 33*c + 6. Let s(i) = w*j(i) - 7*l(i). Give -8*n(q) - 5*s(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/12 + -11\/12. Let l = 8.8 - 3.9. Let x = -6.9 + l. Sort 3, 5, g, x in increasing order.\nAnswer: x, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 0 + 0. Let j(z) = -z - 5. Let k be j(-6). Let g(n) = -k + 1 + n - 2*n. Give g(y(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-35))\/((-4)\/(-14)). Suppose 2*s = -x*n - 0*n + 26, -59 = -4*s + 3*n. Solve -w + 2*v = -s + 3, v + 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -715.235 * 4.\nAnswer: -2860.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Let a(x) = 1 - 2*x**2 - o + 2*x + 0*x**2. Let j(q) be the first derivative of q**3 - 3*q**2\/2 + 2*q - 34. What is -5*a(t) - 4*j(t)?\nAnswer: -2*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 125 + 136 = 3*n, 173 = 2*x + 3*n. Suppose v = -b + 33, 4*v - 24 = b + x. Let i = v - 19. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*t + 22. Let w(u) = -u**3 - 12*u**2 - 23*u + 1. Let x be w(-9). What is the tens digit of 161\/x + 5 + 323\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -541?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/12 + 8*a**3\/3 + 15*a**2\/2 + 10*a. What are the prime factors of d(12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2602793 + (-2)\/(-10) + (-648)\/90. What is f rounded to the nearest 10000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97530*l**3 - 2*l**2 - 221418*l.\nAnswer: 585180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5445.9 * 0.4.\nAnswer: -2178.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**4\/3 - 2*x**3 + 11*x**2\/3 + 20*x - 100\/3 = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*v - 20 = -3*y, y - 5*v = 20. Let t = y + 24. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627964 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77544 - 28267. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 76. Find the second derivative of 2*h**4 - 4*h**4 + 10*h**m + 4*h + 12*h - 12*h wrt h.\nAnswer: -24*h**2 + 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 - 363 = h. Let q = -3 + 6. Suppose q*f = -f. Solve x + 28 = h*d - 3*x, f = d + x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.09, 0, -710, 2?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 + 9*f - 15. Let g = 61 + -56. Let y be z(g). Let u be ((-64)\/6)\/(5\/(-15)). Solve -9 = -y*w - 4*s + 4, -4*s - u = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**5\/3 - 127*i**2\/2 + 19. Let x(n) be the second derivative of w(n). Let s(q) = -2*q**2. Determine s(x(h)).\nAnswer: -800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -10, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -422375, -844494, -1266615, -1688738, -2110863, -2532990?\n\"Answer: -a**2 - 422116*a - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -877, -2761, -6449, -12547?\nAnswer: -21661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(51)\/sqrt(3))*-4)**2 + -4)*-6.\nAnswer: -4008 + 960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109056 and 6528.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -4.4. Let u = -0.64 - 6.86. Let p = u - y. Which is the biggest value? (a) 1\/11 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/9)\/(5\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11873 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1654771398 to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/21*3\/((-219)\/(-730))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x*z**2 - 21*x - 95*z**3 + 6 wrt z?\nAnswer: -2*x*z - 285*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 - -3. Let g be ((-186)\/15)\/(48\/(-30)). Let u = -167\/20 + g. Which is the nearest to r? (a) u (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j + 151 - 91 - 102 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 21870263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 c when four letters picked without replacement from murcmmrrmrm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = g - 16, 20*g + 3*c - 116 = 16*g. Solve -38*s + g*s = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002221010100101 (base 3) in base 5?\nAnswer: 13033000204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99022, -99052, -99102, -99172, -99262, -99372?\nAnswer: -99502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 1140 = 10*u. Let a be (-2)\/(-14) + (-9)\/(u - -3). Solve a = -2*k + 5*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153 + 2556. What is the smallest common multiple of n and 6?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 97. Let s = x + -15. What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21)*1 - (-49 + (-976)\/(-56))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1273384.6858631 + -3.\nAnswer: -1273387.6858631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*n - 721*n**3 - 128*n - 2095*n**3.\nAnswer: -2816*n**3 - 267*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -10 + 5 + -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 12*z**2 + 9*z - 12. What is q(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (3 + 2 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 15 - (-20 + -2443) - -1*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5) - 12\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from deeeeeemlmexedee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:31 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 1, p: 4}. Give prob of sequence qy.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 14 = -3*i, 2*i - 28 = -2*i + 4*p. Suppose -4*u + 0*u = -140. Is 9 a factor of 1*(i + -2) + u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 - 2.719.\nAnswer: 135.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2 + 8162*s - 57232 = 0.\nAnswer: -4088, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/35, -7, 1\/5, -330, 0.5?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0 + 1\/6*o**3 - 6*o**2 + 1\/30*o**5 + 0*o + 1\/240*o**6 + 5\/48*o**4. Factor g(y).\nAnswer: (y + 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 - 6 = 0. Suppose a = -u - 9 + 35. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*10\/8 + -455. Let k = 460 + h. Factor -4\/9*g + k - 2\/9*g**2.\nAnswer: -2*g*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (-2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 54502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -22 - (-501 - -477)) + -14 + 1 + -1\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, 1, -5, 66, -3\/7 in decreasing order.\nAnswer: 66, 3, 1, -0.1, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13026 < 12498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = 0, 469 = 2*p + 2*p - 5*s. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4.75, 1.\nAnswer: 0.5, 1, 4.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 5}. What is prob of picking 3 g?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7995\/(-5863))\/((-56)\/(-264))?\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2442, -2397, -2268, -2043, -1710, -1257, -672?\n\"Answer: 2*a**3 + 30*a**2 - 59*a - 2415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d - 2 = -124*d, -b + 13 = -4*d for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3168 and -83\/3968?\nAnswer: 392832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-360222)\/12)\/(4\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - a = 14, q = 4*q - 5*a - 4. Suppose -4*n + 44 = -4*p, 18 = q*n + 23*p - 21*p. What is the remainder when 61 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(5880\/(-35)))\/(19\/12)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, q: 7, v: 4, i: 1, d: 4}. Give prob of picking 1 d and 1 i.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*a = 3150, -r - 3*a - 128 = -775. Let o = 1948 - r. List the prime factors of o.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735456985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-4))\/((-81)\/24 - -4). Suppose -b - a*t + 14 = -7*t, 0 = 5*t + 10. Solve 2*w = 2 - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173\/3 - -58. Factor -4\/3*h**4 - s*h**2 + 0*h - 5\/3*h**3 + 0.\nAnswer: -h**2*(h + 1)*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwiwiwwtddwdhiwt. What is prob of picking 1 t and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 1, w: 1}. Give prob of sequence yy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-28)\/(-16)*5088\/(-1113).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/4*36\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 2*t**3 - 3*t**3)*(18*t**2 + 3 - 30*t**2 + 11*t**2 + 10*t).\nAnswer: 3*t**5 - 30*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 30*v + 9 in the form x*v + i and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = t + 18*g + 16, 4*g + 16 = 0. Let y be (0 - -2) + (-7)\/4. Suppose 2*x = -0*x. Put y, t, -7, x in decreasing order.\nAnswer: y, x, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35673*z**5 + 1621*z - 5?\nAnswer: 713460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from {w: 7, s: 3, l: 3, z: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -146\/9 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) - sqrt(17))*1 - sqrt(85)\/sqrt(80) - (sqrt(2448)*-2 + sqrt(17) + sqrt(272)*3)**2.\nAnswer: -2057 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*z - 18 = -3*a - 277*z, -5*z - 30 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/2225, -0.5, -5.\nAnswer: -5, -0.5, 6\/2225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - t = -9, -5*r + 10*t + 4 = 8*t. What is the second derivative of 84*d**r + 4*d**2 + 16*d**2 + 95*d + 21*d**2 wrt d?\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 18. Let m = l - -16. Let t be 8*(4 + (-2 - m)). Calculate the greatest common divisor of 24 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7327 and -9.415985.\nAnswer: 7317.584015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - 2*t**2)*(0*t + 0*t - 2*t**2)*(2*t + 0*t - t)*(-3 - 4 + 0)*(-3 + 0 - 1).\nAnswer: 112*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 - 32*i\/5.\nAnswer: -4*i*(i + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/13)\/(-8) - 4\/(-4). Which is the closest to -0.1? (a) -4 (b) k (c) -0.13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/4)\/((-2063)\/8252)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5269)\/(-143) + 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/17 + 212*h**4\/17 + 8234*h**3\/17 - 16108*h**2 + 1912752*h\/17 - 1647360\/17 = 0. What is h?\nAnswer: -48, 1, 11, 12, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n - 22. Let z(b) = 46*b - 51. Let f(o) = 8*h(o) - 3*z(o). Give f(-5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1016 + 4.1016. What is the third smallest value in -0.1, 104, f?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.2 (c) 60 (d) -53\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2464 (base 14) to base 9.\nAnswer: -8646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3041835630.\nAnswer: 2, 3, 5, 31, 197, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151798 + 31*d**3 - 151798.\nAnswer: 31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828146123 to the power of 1\/3, to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 8*m. Let j be g(6). Let s be (16\/j*12)\/(-2). What is the tens digit of (-1 - 1)\/(s\/(-140))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -658527, -658526, -658525?\n\"Answer: y - 658528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105325 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*j - 100*j + 4 - 53*j - 4 - 60*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2 + 12*a + 18 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192477?\nAnswer: 3, 83, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -280.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 14*s**2 - s - 12. Let w be g(14). Let z = -26 - w. Suppose 4*c = -z*c + 148. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23844665 + -25.\nAnswer: 23844640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3 + -167.\nAnswer: -170.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 11) in base 16?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 220002. Let i(n) = -2*n - 220003. Let l(f) = 4*i(f) - 6*m(f). Let r be l(0). What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 13. Let r be 15\/(-2)*u\/3. Let t = 45 - r. Calculate the smallest common multiple of 32 and t.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p**2 + 66*p - 52. Let v be w(-8). Solve 16*u = 28*u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 1 - (67 + 61 + -136)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 244*g**3*t**2 - 4*g**3*t - 22*g**2 + 2*g*t**2 - 3*t wrt g.\nAnswer: 1464*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmjg when four letters picked without replacement from mmmmmmgmgmmmmjmmo?\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -155, -3, 2 in decreasing order.\nAnswer: 4, 2, -3, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6540, 26151, 58828, 104565, 163356?\n\"Answer: -l**3 + 6539*l**2 + l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3 - 41. Suppose c = p - 0. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/8 + 5*q**3\/6 - q**2. Let f be (221\/(-26))\/((-1581)\/(-744)). Determine g(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193 is divided by 49?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44091\/(-121095) - (18\/(-26))\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 2*o - 1. Let q be 150\/18 + (-2)\/(-3). Suppose -n + q*n = -32. Let g be (n\/16)\/(3\/(-12)). Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00301355144 rounded to 5 dps?\nAnswer: -0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 3, 5, -103 in ascending order.\nAnswer: -103, 1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let m be (-1)\/((-27)\/6 - -5). Let s be (-6 + 7)\/(1\/m) - -6. Solve 0 = -t + 2*q, s*t - q = a*q + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 221182.1439 to the nearest 100.\nAnswer: 221200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -13*x**2 + 182*x + 901. Let i(n) = 6*n**2 - 92*n - 450. Let h(y) = -2*a(y) - 5*i(y). Solve h(g) = 0.\nAnswer: -4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -29, 1\/53279 in descending order.\nAnswer: 38, 1\/53279, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 4. Let b be a(0). Let w = 4 - b. Suppose 0 = -c - w + 11. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 55, 106, 173, 256?\n\"Answer: 8*i**2 + 11*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7641 times -116?\nAnswer: 88.6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 8\/7*z**2 - 8\/7*z - 2\/7*z**3 + 0 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1094*b**4 + 19*b**3*d + b**3 - 14836*b**2 - 4*b*d wrt b?\nAnswer: 26256*b + 114*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 1:56 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 33. Let h = -14 + l. Is -2*2\/(h\/(-879)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-20))\/((-63)\/(-24)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 128282666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 86, 43, -38, -169, -362, -629?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64657430 by 22090.\nAnswer: 2927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 764175.7 kilograms in tonnes?\nAnswer: 764.1757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1135 + 1135 + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 845459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -978, -1965, -2978, -4029, -5130?\n\"Answer: -2*m**3 - m**2 - 970*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313030 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (13 + 5 + 3 + -15 - 13).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 139, -363, -1727, -4385, -8769, -15311, -24443, -36597?\n\"Answer: -72*a**3 + a**2 - a + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12666, -13084, -13732, -14604, -15694?\n\"Answer: o**3 - 121*o**2 - 62*o - 12484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1159?\nAnswer: 1\/1159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j - 1. Let v(s) = 6*s + 1 - 4 + 4 - 9 - 3*s**2. Give -6*k(a) + v(a).\nAnswer: 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527 - 112 = 114*z + 957 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1049 + 1069. Solve -21*q - 3 = -d*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:32 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4235, -4011, -3641, -3125?\nAnswer: -2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 1)*(-3*q + 2*q + 2*q)*(21 - 16 + 33).\nAnswer: 266*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 823.44?\nAnswer: 164.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939922?\nAnswer: 2, 233, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*m - 2089 + 244 = 409. Which is the fifth smallest value? (a) 0 (b) -0.5 (c) m (d) -0.09 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12050 and 102425.\nAnswer: 204850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**2 - 11*f - 12. Let p be ((-8)\/(-28))\/2 - (-110)\/14. What is the tens digit of k(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20)*s)\/s)\/(s\/s**(-20)) assuming s is positive.\nAnswer: s**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -64682 at least as big as -452766\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzqlwl. What is prob of picking 1 z and 1 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 14846320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 3*k)*(1 + 7 + 3)*(-3*k**2 - k**2 + 0*k**2).\nAnswer: 88*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-81)\/2*2\/9*-3. Suppose -4*f = 3*u - w, -5 = 2*u + 4*f - 27. Let i be ((-29)\/(-6) - u)*4. Is i at least as big as 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602 and 225062.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x + 2663. What is n(-124)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 380.15 - -15216.85. Let q = 15702.49 - o. Let x = -106 + q. What is x rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from xxnbeebdedtd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) + (23\/10 - (-18)\/(-9)). Let v(l) be the first derivative of -a*l**2 + 0*l + 24 - 4\/3*l**3. Let d(j) = 2*j**2. Give d(v(b)).\nAnswer: 32*b**4 + 16*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 - 343. Calculate the common denominator of (15\/z)\/((-351)\/2444) and -91\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 136\/12 + 3\/(-9). Let k(z) = z**2 + 5*z + 15. Is k(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 86*k**2 - 5*k + 17. Let b be u(20). Let n = b - 22957. Round n to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 348.64 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-50)*10\/38.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (1 + 0)*3. Suppose 5*k - 16 - 10 = 3*h, -y*k + 2*h = -15. Calculate the greatest common factor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h - 5 = -25*h + 2*i, -4*h - 2 = 2*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*a - 480*a**2 + 3285*a**2 + 28*a - 16*a - 3101*a**4 wrt a?\nAnswer: -74424*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0*y**4)**16*(y**0)**(-25)*(y\/((y*y**(-6)*y*y)\/y*y*y)*y*y)\/y**(-7) assuming y is positive.\nAnswer: y**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**3 + 20*h**3 + 518 - 517.\nAnswer: 6*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 3. Let h(z) = -6*z**2. What is m(h(y))?\nAnswer: -72*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 0.051\nAnswer: -2.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3795396580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 1\/12, -3 in decreasing order.\nAnswer: 154, 1\/12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/616 - 695\/616. What is the common denominator of 85\/11432 and j?\nAnswer: 125752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/541332 and -19\/1557.\nAnswer: 93650436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8\/3 + 3. Let p(v) be the first derivative of 0*v - w*v**3 - 1 + 1\/2*v**2. Find the second derivative of p(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00274 + 4916.\nAnswer: 4915.99726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 36. Suppose -k = -3*a - 2. Round a to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 591967\/14 + -41883. Let a = -401 + d. Calculate the common denominator of a and -1\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417\/5 - 84. Let c = 4 - 5. Let z be (-1)\/((5 - 2)\/1). What is the nearest to z in -2\/7, q, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -18 - (1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4, -3, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -34, -32?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 3*x - 126. Let d(u) = -u**2 - u + 126. Let q(k) = -6*d(k) - 7*z(k). Factor q(h).\nAnswer: -(h - 6)*(h + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 13*k + 27. Let q be j(11). Suppose -3*x - 26 = -x. Let y be (-4)\/((-160)\/(-136)) + 3. Which is the closest to x? (a) q (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24000)\/384*12\/15)\/2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*96\/40.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -149601 = -149603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 5427889*v - 5427889*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -5. Let o be (8\/24)\/((-10)\/24). Suppose -q + z = -6, 0 = 3*q + z + 8 - 18. Sort n, o, 0.5, q.\nAnswer: n, o, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/21*2)\/2. Let n = 2\/63 + y. Which is the biggest value? (a) 8 (b) n (c) -1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(17)*4)**2 - sqrt(17))*5.\nAnswer: -45*sqrt(17) + 1365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 432639.98 - -0.1.\nAnswer: 432640.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.4, 0.5, -0.05, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-432)\/(-14) + (-12 - (-425)\/35). Let x(z) = z**3 - z**2 - 2*z + 1. Let k be x(2). Suppose f - k = j. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712836347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Let a = 3 + -1. Let z be (-4)\/1 + -2 + a. Let f(d) = -17*d**2 - 11. Let s(g) = -6*g**2 - 4. Let o(x) = z*f(x) + 11*s(x). What is o(t(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147584 + -7115?\nAnswer: 140469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/40 - (-4)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 83\/(-364) + (-4)\/(-14). Let p = o - -557\/260. What is the common denominator of (28\/6)\/(-12 + 9) and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.96 - -5. Let t = n - -0.11. What is t rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p - 10 = 0. Calculate the common denominator of (-134)\/(-8) + (p - -1) and ((-243)\/(-6) - 1)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -18. Suppose t*j - 947 - 1099 = 0. Suppose -3*c - c = -2*z + j, -3*z + 1017 = -4*c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -50. Suppose 4*d = t*j - 2864, -4*j + j + 2151 = -2*d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -c37f?\nAnswer: c382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j - 36 = -5*k, 0 = 4*k + 2*j - 34. Let p be (k - -412) + 0*1\/(-2). Suppose 232 = 2*m + m - w, 5*m + 5*w - p = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**3 - 7*u**2 + 9*u - 117. Let r(h) = 5*h**3 - 4*h**2 + 5*h - 59. Determine -3*c(n) + 5*r(n).\nAnswer: -2*n**3 + n**2 - 2*n + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013323 (base 5) in base 14?\nAnswer: -613b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7559*p. Let q(b) = -b. Give q(o(f)).\nAnswer: 7559*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/6 - 7)\/(10\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6103702 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -841 (b) -0.2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4433572 is divided by 834.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 2, d: 5}. Give prob of sequence ba.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 742, 1071, 1354, 1579, 1734?\nAnswer: 1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6131, -4\/3, -0.04 in decreasing order.\nAnswer: -0.04, -4\/3, -6131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 249 + -198. Let b = 37 + 14. Let u = f - b. Is u smaller than -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + i = f + 63, -i + 23 = f. Solve 2*u = -4*p + 30, 0 = 2*p + 2*p - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 223*c**2 + 906*c - 14. Give b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let n(j) = j + 1. Let l(v) = 3*h(v) + 2*n(v). Let i be l(0). Suppose 4*c + 0 - 35 = -3*f, 0 = -2*f + 2. Solve i*b = -2*b - c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiccciiidvwcicc. What is prob of sequence cvd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5093264 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1422 and 5056?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 3. Are h and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-2)\/(2\/3)*(-3265)\/7836.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:10 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 5*d**2 - 2*d - 6. Let q be y(-5). Suppose o - q = -0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 3*d - 5. Let j be l(2). Suppose -2513 = -j*r + 1429. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:44 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 3*q**2 + 2*q + 11. Let f be g(-3). Suppose 8*c = -2*a + 7*c + 366, -3*a = f*c - 535. List the prime factors of a.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676561300 to the power of 1\/2, to the nearest integer?\nAnswer: 26011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/39 - 1) + 1. Sort r, 4\/3, 2\/3 in increasing order.\nAnswer: r, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 971 (b) 0.4 (c) 1225\/9 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1160533 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -2 - -8 - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 937 = -19*x + 7 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**4 - q. Let d(n) = 4*n**5 - 10*n**4 + 4*n**3 - 2*n. Let a(k) = -d(k) + 2*p(k). Factor a(c).\nAnswer: -4*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*r - 4*h, 5*r - 7*r = 2*h + 24. Let q be r\/(-9) - 4\/(-6). Suppose 10 = -q*v + 130. Calculate the greatest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-330))\/((-5)\/50*-4).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = v + 376, 0*v = -5*k + 4*v + 470. Let p = -170 + 125. Let y = p + k. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1694 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 69.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2842*j**3 + 4*j**2 + 24*j + 2. Let d(o) = -3171672*o**3 + 4466*o**2 + 26796*o + 2233. Determine 6*d(m) - 6699*z(m).\nAnswer: 8526*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = -3*u. Sort 3, 0, u in decreasing order.\nAnswer: 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4167, -4166, -4163, -4158, -4151, -4142?\n\"Answer: a**2 - 2*a - 4166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 18781 = 56771. What are the prime factors of j?\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j. Let x(h) = -h**3 + 4*h**2 + 5*h - 7. Let t be x(5). Let z = j - t. What is the remainder when 19 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5579*s**2 + 8142*s**2 - 13739*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(sqrt(13) - -6*sqrt(13)*-2))**2 + -3.\nAnswer: 25170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -33864.\nAnswer: 1\/11288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**2 - 46*f - 18. Let r be n(-5). Let a(x) be the first derivative of -18*x**2 - 8*x - r - 16\/3*x**3. Let a(o) = 0. What is o?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1842\/51 - -9*16\/(-1224). Let d be -6*(3 - -13)\/(-2). Let o = -30 + d. Calculate the greatest common divisor of o and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/3 - 5867*a - 12525910\/3 = 0.\nAnswer: -685, 18286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 144412?\nAnswer: -144403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6485 from -2160512.5.\nAnswer: -2154027.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 d, and 1 f when three letters picked without replacement from {f: 15, d: 2, j: 3}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 - 173. Suppose c*g + 129 = 213. Calculate the remainder when 73 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -10. Which is greater: -3\/4 or n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 629 - 309. Is 14\/(-21) + t\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419, 416, 413?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3148)\/(-14) - 2 - (108\/(-42))\/18 is divided by 185?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 + 2*k**2 + 2*k - 1. Let p(o) be the first derivative of 0*o + 3\/2*o**2 + o**3 + 39 - 3\/4*o**4. Calculate 3*b(i) - 2*p(i).\nAnswer: -3*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -19) + 4 + (27 - 4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m. Let l(s) = s + 23. Let d be l(-9). Let i = -9 + d. Solve i = -5*j - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 40 = -0*a. Suppose -2*w = -5*w - 15. Let m = w - -10. What is the highest common divisor of m and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*((1 + 0 - 2)*(-g + 2 - 2) + g + 7*g + 3*g + 2*g + 2 - 2)*(24*g**2 - 9*g**2 - 4*g**2) to d*g**2 + v + p*g**3 + l*g and give p.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 6669*z + 164220. What is f(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 770571234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 10*g**2 - 8*g - 8. Let v be f(9). Let o = 376 - 376. Sort 0.3, v, o in descending order.\nAnswer: v, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3))**(-20)\/(q**(4\/7)*(q*q**(-5\/6))\/q))**(-2\/5) assuming q is positive.\nAnswer: q**(-2531\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + z + 51. Does 12 divide o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2929\/4 - 729. Which is the closest to 2\/3? (a) 4 (b) 8 (c) -3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10082236.\nAnswer: 2, 19, 132661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 81*p**2 - 166*p + 43. Give k(-83).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 259 = -3*h. What is the second derivative of -340*k**3 - h*k**2 - 25*k**2 - 11 + 2*k + 0*k + 338*k**3 wrt k?\nAnswer: -12*k - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from fffvfsfssvffsss?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:34 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 91 + 14 = 0. Let f be (p\/(-12))\/((-1)\/8). Suppose 5*l - f = 26. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:24 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8676*w**3 + 34768*w**3 - 8679*w**3 - 8683*w**3 - 8732*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705*o = 709*o - 3*n - 989, -5*o = 4*n - 1213. What is the remainder when 1699 is divided by o?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - r + 0 = 2, v - 10 = 5*r. Suppose 6 = 2*d + 2*j, -2*j = -5*j. Suppose d = 2*n - 1. Put n, -1, v in decreasing order.\nAnswer: n, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00288875579 to seven decimal places.\nAnswer: 0.0028888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -122010202 (base 3) to base 6\nAnswer: -133502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 - 41566*b + 41562*b - 10*b**2 - b**5 - 6*b**3 - 30*b**4 - 9 + 141*b**4 - 3 wrt b?\nAnswer: -120*b**2 + 2664*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/4 and (-60)\/160 + 1*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7187.218t to kilograms.\nAnswer: 7187218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (2 + sqrt(343) + -2 - sqrt(343)) + -3)**2 + ((sqrt(49) + sqrt(490)\/(sqrt(10) + -1*sqrt(10) + sqrt(10)))\/sqrt(7) + 2)**2.\nAnswer: -34*sqrt(7) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 f when four letters picked without replacement from scssfjzscvjjsjf?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 9*k - 5. Let a be c(-7). Let s be (-1)\/(-2) - ((-385)\/a)\/(-11). Let x = -0.06 - -2.06. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + 2\/4. Let x(o) = -12*o + 1. What is x(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 12) to base 2.\nAnswer: 1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1095)\/75 + 4\/(-10). Let p be j\/6 - 1\/2. Let z(g) = g**3 + 3*g**2. Determine z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35320224 and 11037570.\nAnswer: 176601120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 6:26 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**4\/12 + d**3 - 4*d - 4. Let a(r) be the first derivative of w(r). Factor a(o).\nAnswer: o*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311013330 (base 4) in base 12?\nAnswer: 1b1764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 10*q**2 - 2*q + 15. Let t be d(10). Let l = -4 + 2. List the prime factors of (-2 - t)\/(l\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2448, -4831, -7154, -9411, -11596, -13703, -15726, -17659?\nAnswer: -19496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2 + 27 = 0. Let i = -2 + r. Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**2 - 14*y**2 - 7*y - 7*y**2 - 15 - 11*y**2.\nAnswer: -2*y**2 - 7*y - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*m**2 + 2781*j**3*m - 1359*j**3 - 83305*j*m**2 + 6*m**2 wrt m?\nAnswer: 2*j**3 - 166610*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7389, -6525, -5653, -4773, -3885, -2989?\nAnswer: -2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j + 12. Let t(w) = w + 1. Let a(l) = 22*t(l) - 2*v(l). Let m be a(4). Let r = -3 + m. Solve -3 - r = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(-1)))\/(v*v**0\/v))**(-2\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, c: 3, m: 1, o: 1, w: 5}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444086.\nAnswer: 2, 222043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-45)*6*4\/(-32))\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323817823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500)*1 + sqrt(1500) + sqrt(1500) + sqrt(960)*-2)\/(-2*-6*sqrt(12)*1))**2.\nAnswer: 245\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h + 1335. Let x be v(-61). Let f(w) be the first derivative of w**3\/3 + 5*w**2\/2 - 15*w + 9. Calculate f(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -10*b + 12*b. Let q be (b\/55)\/((-1)\/(-130)). Suppose q - 8 = v. What is the greatest common divisor of v and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*u + 12 = 0, -u + 2*u + 8 = y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18 + 20 - (2\/4 - -2). Which is the nearest to 1\/5? (a) 0.4 (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*j - 2*d, -j - 9 = 5*d + 7. Suppose -2957 = -j*f - p, -1624 = -3*f - 2*p + 595. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6555 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/7 - 3233*b**2\/7 - 121482*b\/7 - 230040\/7.\nAnswer: -(b + 2)*(b + 36)*(b + 3195)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19c (base 13) to base 5\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 3*f)*(5*f + f - 4*f)*(3*f - 3*f + 5*f**2).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((sqrt(2448) - (3 + sqrt(2448)*-2)**2) + -1 + sqrt(2448) + 1).\nAnswer: -235224 + 4032*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 1. Let f be n(-2). Let r = f + 4. Let b(w) be the second derivative of 13*w**3\/6 - w**2\/2 + 47*w. Give b(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let r be j(12). Let i(d) = -d**3 + 12*d**2 - 10*d - 5. What is the units digit of i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 22 = -3*c. Let y = 12 - c. Suppose -y = -m + 9. What is the remainder when 18 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/154998 and 113\/113796.\nAnswer: 8989884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.63 - -47.33. Let l = -2 - -7. What is the biggest value in l, 4, -4, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-12)*(-15)\/20*51\/(28203\/158).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353027 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 12*p**2\/5 - 291*p\/5 - 546\/5 = 0.\nAnswer: -7\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4814*o**4 + 5355*o**2 wrt o.\nAnswer: -115536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9558 divided by 2?\nAnswer: -4779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001017 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -f + 32, 3*f - 51 = 5*b + 45. Suppose -37*o + f*o = -10. Find the third derivative of -o*j**2 - 8*j**2 - 3*j**2 + 4*j**2 - 11*j**3 wrt j.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -505 + 1751*s - 114*s + 505. Let f(a) = 6*a. What is f(n(p))?\nAnswer: 9822*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and -4673990.2789148?\nAnswer: 4673989.6789148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3704 is divided by 3686?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13533 + -7012. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -3 (b) 4 (c) -41 (d) -3\/2 (e) -1839\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-6) + 4\/(-2). Let u be (y + 0 - 0)*-3. Let r be ((-1)\/u)\/(16\/6). Which is the second smallest value? (a) r (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163969*h**5 - 43*h**3 + 27*h - 279549.\nAnswer: 3279380*h**3 - 258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (1 + sqrt(325) + sqrt(325)))*-4 + -1 + sqrt(325) + 1 + -4)**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4946*i**2 + 0 - 1808*i**2 - 3139*i**2 + 0.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 3. Let t(a) be the first derivative of -a**2\/2 - a + 1. Suppose 2*z - 6*z - 28 = 0. Let d(x) = z*t(x) - 2*f(x). Differentiate d(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -31*x**2 - 9*x - 1907. Let s(m) = 3*m**2 + m + 192. Calculate -2*c(z) - 21*s(z).\nAnswer: -z**2 - 3*z - 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72779533093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 23*r - 3. Let x(u) = 2*u - 222. Give x(o(h)).\nAnswer: -6*h**2 + 46*h - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -6. Suppose -m - 1 = -5*j + 10, 0 = -u*j - 4*m + 31. Solve -2*o = 4*n + 5 + 11, -5*o - 12 = j*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8202193 or -8202190?\nAnswer: -8202193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m**(16\/5)*m)\/m*m*m**(-24))\/(m\/m**14)**(-2\/29) assuming m is positive.\nAnswer: m**(-2711\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 253.00274 + -0.00274. Which is the nearest to 1\/6? (a) i (b) 3\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 726496 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 21*u - 4. Let b be l(2). Let f = b - 29. What is the remainder when 16 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, q: 1, e: 1, y: 1, b: 3}. What is prob of sequence be?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**5 - l**4 - l**3 + l**2 - l - 1. Let n(a) = -15*a**5 + 99*a**4 - 699*a**3 + 1209*a**2 + 378*a - 1626. Let m(y) = -6*d(y) + n(y). Solve m(q) = 0.\nAnswer: -1, 2, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27\/14, 0, 32, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 70 = -4*f, 0 = -6*j + 4*j + f + 60. Solve -z + 12 = -5*q + 1, 4*z + j = -5*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047329957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2088.842076 to 0 dps.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1743 (b) -5 (c) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16089990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - -6?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1445*c + 16160 - 33500 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362021, -724003, -1085985, -1447967, -1809949?\nAnswer: -2171931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97225.58 decades?\nAnswer: 9722.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1842\/135694)\/(6\/13)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(sqrt(252) - (-1 + sqrt(252)))*6)**2 + 4.\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36031147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57645, 115292, 172937, 230580, 288221, 345860, 403497?\n\"Answer: -f**2 + 57650*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22193 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.9715 + -0.0285. Let z = 21.161 + -1.181. Let a = z + p. Round a to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -504 + 310 - 424 + 102*j - 79*j. Let m be s(27). Find h such that 0 + 0*h - 1\/2*h**m - 1\/2*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 80873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.4 + 13.4. What is the nearest to -2\/3 in 2, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -38088 - 2*s**2 - 100*s - 164*s + 816*s = 0. Calculate s.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 0, 2, 53.\nAnswer: 0, 2, 3, 12, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, -14 in decreasing order.\nAnswer: 2, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -577 divided by 44?\nAnswer: -577\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**6\/1080 + f**5\/180 + f**4\/72 + f**3\/6 - 6*f. Let m(j) be the second derivative of y(j). Factor m(k).\nAnswer: (k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*a - 256 - 600 = -39*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 5. Let x be p(5). Suppose -w - w - 2 = -3*n, -4*w - 22 = 3*n. Let f be (-5)\/n + 6\/(-4). Put f, 4, x in ascending order.\nAnswer: f, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)\/((p\/(p**(-2)*p))\/p*p)*(p**(-2\/27)\/p)\/p*p\/(p\/(p\/(p**1*p)))*(p**1*p\/(p**(-9)\/p))**(-4) assuming p is positive.\nAnswer: p**(-1514\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5692 + 11380 - 5688 + 4*d - 11*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.10376 nanoseconds to milliseconds.\nAnswer: 0.00004310376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -1\/3, 1 in increasing order.\nAnswer: -14, -5, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auu when three letters picked without replacement from {a: 4, u: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2859, 5706, 8553?\n\"Answer: 2847*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.794 - 19.306. Let a = c - -20.06954. Round a to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002642033 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 11*o - 6. Let k be (6\/4)\/((-12)\/(-16)). Let w(r) = -k*r + 494 - 497 + 7*r - r**2. Give 4*a(i) - 9*w(i).\nAnswer: -3*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-299)\/(-46)*-2*4*6\/(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xbbxbbxbxxbxxb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*9\/405 + 30\/(-27). What is the biggest value in z, -2\/9, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 250*c**3 - 6*c + 6*c.\nAnswer: 250*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90036 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000201141 to seven dps.\nAnswer: -0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 26 = -5*u, p = u - 6. Let j be (-18)\/(-48) + (-22)\/80. Is p at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 4*u**2 + 5*u**2 + 0*u**2 + 0*u - 11*u**2. Let v(t) = -16*t**2 + 14*t. Let k(q) = -6*j(q) + v(q). Find y such that k(y) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0.03, -135 in increasing order.\nAnswer: -135, -48, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13817580 (base 9) to base 12\nAnswer: -236ab69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280668*l**2 + 4*l**3 + 11*l**3 + 280666*l**2.\nAnswer: 15*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*u + 4*u. Factor -4*z + 8 + z - 5*z - 6*z**u.\nAnswer: -2*(z + 2)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 12. Suppose 0 = r + 13*r. Calculate w(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1320 - 6536\/5. Let u = f + -517\/40. Suppose 0 = -m - 2*m + 3. Sort m, u, -0.2.\nAnswer: -0.2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2808959 is divided by 1679.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68598, -137196, -205794, -274392, -342990, -411588?\nAnswer: -480186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44)\/(-2772))\/((-2)\/12). Let m = 9 - 5. What is the closest to -1 in m, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 986 + 9*z + 899.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 31 - (-48 + 100).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5382)\/(-21) + 4\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6266.38 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 1272*o**3 + 0*o.\nAnswer: -1272*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -2*z**3\/3 + 226*z + 1. Let b(o) = 10*o. Let s(k) = 2*k. Let p(g) = 2*b(g) - 11*s(g). Give p(y(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049719 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - 139*u**2 + 208*u - 355. Let o be r(-71). Factor 0*z**2 + 1\/9*z**5 + o*z - 2\/3*z**3 + 0 - 1\/9*z**4.\nAnswer: z**3*(z - 3)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 72.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 + o**4 + 0*o**4)*(-12435 + 12435 - 4004*o + (-3 + 4 + 0)*(-o - 5*o + 4*o)).\nAnswer: 8012*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/45904616?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 2*g)*(4*g - 27 + 12 + 14 + 3*g**2).\nAnswer: 3*g**3 + 4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2112 and -63.\nAnswer: -133056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 73 - 68*h - 149.\nAnswer: -68*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*w - 48, -5*f = 771*w - 768*w + 59 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s**4 + 40*s**3 - 8*s**2 + 4*s. Let c(f) = -f**5 + 9*f**4 + 40*f**3 - 6*f**2 + 3*f. Let d(k) = -4*c(k) + 3*h(k). Factor d(a).\nAnswer: 4*a**3*(a - 5)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (85 - 65 - 19).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + 2*o, -5*a + 4*o + 2386 - 2383 = 0. Let c = 0 + -2. Let j = -1.6 - 11.4. Put -0.4, a, c, j in decreasing order.\nAnswer: -0.4, a, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/35 - (-166)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -3072 - 5868. List the prime factors of 1\/21*6 - p\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + z - 3*z - 74 = 0, 0 = 4*z + 12. Put -4, 1, l in ascending order.\nAnswer: l, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 1\/2*n**2 + 3 - 3*n. Let t(g) = g - 4. Calculate 5*o(u) - 4*t(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 166 - 206 - 9*l**4 - 2*l**2 + 2*l**4 in the form f*l**2 + d + o*l + k*l**4 + j*l**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94142417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 4, -1\/4, 2 in increasing order.\nAnswer: -11, -5, -1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 321 - 321 + 29*g**3 + (0*g + 2*g - g)*(-3*g - g + 3*g)*(g + 2*g - g) as q + j*g**3 + p*g**2 + n*g and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-9))\/(-2))\/(14584\/(-8794152))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 20. Let r(o) = -o**3 + 4*o**2 - 4*o + 1. Let q be r(3). Let u be q\/(-13) + (-6)\/39. Solve u*d + 17 = -d - k*i, 21 = 2*d - 3*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.988945 to one dp.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 16) to base 9\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) -1 (d) -14 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - (4 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1125881*z**5 - 563206*z?\nAnswer: 22517620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -73\/2?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(-413) + ((-372)\/10)\/(462\/(-220))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 6*b. Let f be g(-6). Suppose -2*x + 277 - 51 = f. Let w = -58 + x. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 541558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**3 - 5*s**3 + 5*s**3 + 1 - 2*s**3 + 4*s. Is q(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -4)\/(-2) - 0. Let y be ((-9)\/o)\/(-3)*2. Calculate the remainder when 37 is divided by y\/(-6) + (-25)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2 + 3)*(-34)\/(-3). Suppose o*u = -u. Solve -5*a = -2*r - 2*r + 31, -3*a - 3*r + 3 = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-32))\/((-1)\/10)*296\/(-40). Solve s + n - 33 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 1\/12, 15, -3, 4, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 26728273?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -268 or -305?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 + 5*m**2 + 9*m - 3. Let t be u(-7). Suppose -5*b + t = -b. Suppose f - 3*f + b = 0. Round f to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - 78. Suppose -4*l + 379 = 3*x, 288 = 3*l + 13*x - 10*x. What is the highest common factor of l and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 449466132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 893 and 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156 + 609 - 154 - 151 - 150 - 7040*v**2 to i + o*v**2 + b*v and give o.\nAnswer: -7040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -339*b + 6033. Determine n(18).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**3 - 88*i**2 - 2396*i + 13680 = 0?\nAnswer: -19, 5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20360*w + 14358*w - 5329*w + 10263*w.\nAnswer: 39652*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from jeyeeyojjeyey?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 0.3 (b) 3\/8 (c) -3 (d) 0.613 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 9) to base 3\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-40)*-4*79080\/(-284688)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4243041330 - -4243036078.592747. Let w = 5343.4072 + t. Let d = -92 + w. Round d to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 3. Suppose 59*r = 69*r - 50. Let c(w) = 4*w - 2. Suppose 0 = 2*b + 7*b + 36. Give b*y(g) + r*c(g).\nAnswer: 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2892b1 (base 15) to base 8.\nAnswer: 7351665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + t - 2. Let f(z) = 341*z**3 - 2*z**2 - 312*z + 12. Let k(q) = 6*d(q) + f(q). Find the third derivative of k(a) wrt a.\nAnswer: 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by 2.\nAnswer: 297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/22)\/(((w**(1\/5)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(323\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4219278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.31 + -0.31. Sort -1, c, 0.01.\nAnswer: -1, 0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*w - 105*w = -2*l - 247, -5*l = 5*w - 1250. Suppose d - 66 = 4*n - 1065, 4*d = 2*n - 496. Which is bigger: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620046 by -206682.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3904773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/(-5)*(-60)\/(-9). Suppose r - o - 19 = -0*o, -4*r + o + j = 0. Solve -2*x - r = -5*m, -m = 4*m + 5*x - 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343242444 (base 5) to base 14\nAnswer: -2c150a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 76*k**2 - k + 15. Let b be g(-38). What is the highest common divisor of 3551 and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4397176*v + 182*v**3 + 4397176*v.\nAnswer: 182*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*w - 575 = -0*y, -y + 134 = -4*w. Calculate the common denominator of 87\/(-7)*(y\/40 - 4) and 170\/(-52)*9\/(-30).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 13. Let g be f(6). Differentiate 3*u**4 + u**4 - 6 + g wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26658, 103930, 232714, 413010?\n\"Answer: 25756*t**2 + 4*t + 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Sort 5, -3, z.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 7 (c) 0.8 (d) 61 (e) 0.1 (f) -8 (g) 11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 8578*l = -8573*l - 1, -3*l - 15 = -5*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.0654958\nAnswer: 0.2619832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*g - 22*g + 36*g - 129 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:49 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106899997.\nAnswer: 31, 41, 151, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 18 = 3*j, 4*q + 5*j + 24 = q. Let n be (-31)\/q + 30\/45. Suppose -4*u = -2*w - 134, -u + n = 6*w - 2*w. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -39?\nAnswer: 53\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 17. Let m be (2\/6)\/(d\/(-126)). Suppose 0 = 3*w + m*v - 279, 4*w + 0*v - v - 352 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l - 16. Let f(i) = -28*i + 33. Give 4*f(b) + 9*h(b).\nAnswer: 5*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*s - 45644 + 45666, 4*i = 3*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -20, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13756, 13800, 13834, 13852, 13848, 13816, 13750, 13644?\n\"Answer: -v**3 + v**2 + 48*v + 13708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 4. Let n = -5.83 - -0.83. Which is the closest to 1\/4? (a) n (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1198708, -2397418, -3596128?\nAnswer: -4794838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 520 - 518. Determine z, given that -852 + 1434 - u*z**3 - 870 - 2*z**2 + 0*z**2 + 112*z = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 bigger than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 5. Let g be y(-5). Let v = 2 + 0. Which is the second biggest value? (a) v (b) g (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*n = -20, -4*g + 14 = -7*g - 2*n. Let a(w) be the second derivative of w**4\/12 + 2*w**3\/3 - 3*w**2\/2 + 26*w + 3. Is 2 a factor of a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -10. Let g be d\/2 + (-2)\/4. Let o be (-7)\/28 + g\/(-8). Which is the biggest value? (a) 1 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9151*y**2 + 3*y + 1. Let b(z) = -240*z. What is q(b(g))?\nAnswer: 527097600*g**2 - 720*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1956 and 978?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3 - 21 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23115 and 33366?\nAnswer: 3837090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -263, -618, -1127, -1796, -2631, -3638, -4823?\nAnswer: -6192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, a: 3, d: 1, b: 2, w: 2, o: 1}. What is prob of sequence rbwd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 315666 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, 1 b, and 1 o when four letters picked without replacement from {b: 4, f: 2, c: 1, i: 4, o: 2, a: 6}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 619.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 110892430 to the nearest ten thousand.\nAnswer: 110890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.06 (b) -2\/3 (c) 24.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -226526816745693 - -4?\nAnswer: -226526816745689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28677448558 rounded to the nearest 100000?\nAnswer: -28677400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 5:06 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11354 (base 6) to base 16\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10) - 17\/180*6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 + 13*y**2 - 72*y + 42. Give c(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412326.\nAnswer: 2, 17, 41539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 17.\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111111011 (base 2) in base 11?\nAnswer: -3505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2188 - -2193. Suppose -2*s = 5*i - 27, -4*s + 3*i + 70 = 29. Solve -3*v + 9 = 0, q = c*q + v - s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 147 = -4*w, 3*s + 2*s - w + 735 = 0. Let t = -128 - s. Solve -l + 5*j = -2 + 28, t = l + 4*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgaagaaalvaaallkvlk. What is prob of picking 2 a and 2 k?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:39 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 235*d - 485*d + 237*d. Let t(n) = -20*n. Calculate m(t(b)).\nAnswer: 260*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + 100. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184643 and 3161.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.159154 - -0.159. What is w rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/1920 and 41\/282960.\nAnswer: 2263680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60686 and 1442347.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*3\/(-90)*-12)\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.907 (b) -3 (c) -3\/7 (d) 2 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 969.6242cm in kilometers?\nAnswer: 0.009696242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/89135 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**8\/840 + 2*m**7\/525 - m**6\/150 - 2*m**5\/75 + m**4\/60 + 2*m**3\/15 + 3*m**2. Find d, given that n(d) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 + 3 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**4\/l)*l)**50 assuming l is positive.\nAnswer: l**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v + 3*v. Let s(z) be the third derivative of 0*z - 1\/240*z**6 + 0*z**3 + v*z**5 + 1\/48*z**4 + 0 - 7*z**2. Let s(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-110)*20\/(-16). Suppose -13 = -20*i + 7. Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 177241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.04, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77667 - 184?\nAnswer: 77473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 2*n. Let v be s(2). Let y(o) = o**3 - 7*o**2 - 9*o + 10. Let m be y(v). Suppose 13 = m*q + 3. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 978\/9179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-27)*114\/(-20) and (-8 - 3220\/(-120))*6\/10 - 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111011010110001010 (base 2) to base 11.\nAnswer: 315647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 26*t - 28*t = 824, -2*o + 400 = -4*t. What is the greatest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from qepqpsgu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296836912 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2311, -2828, -3331, -3814, -4271?\n\"Answer: h**3 + h**2 - 527*h - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17620 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 1372, 2839, 4904, 7573, 10852, 14747, 19264?\nAnswer: 24409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.24*3\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12001\/6 - 2000. What is the third biggest value in -16, -0.5, a, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-2 - -10) + -1. Let r = -10 - -10. Let c = -2 + 1.6. Sort r, b, c in ascending order.\nAnswer: c, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 596 + -596. Solve -2*u + 10 = 0, p*a - 20 = a - 3*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 129*z + 40. What are the prime factors of h(35)?\nAnswer: 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 321*w**2 - 71 - 377*w**2 + 69 - 3 - w**2 + 3 + (w + w - w)*(-2*w - w + 2*w) in the form f*w + c*w**2 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81, -99, -129, -177, -249, -351?\n\"Answer: -b**3 - 11*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24386819 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039588264 rounded to the nearest 1000000?\nAnswer: -1040000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11868 divided by 1978.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1617, -1523, -1365, -1143, -857, -507?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 9:15 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/21 and -145\/3162?\nAnswer: 22134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 498 - 183. Suppose -v = -4*f - 51. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*d + 52 = 0, 519176 = -g - 4*d + 519126 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 157*r - 84*r - 74*r. Let a(h) = 4*h + 2. Let j(p) = -p**3 + 8*p**2 + p - 10. Let w be j(8). Suppose -5 = -0*c + 5*c. Determine c*a(d) + w*o(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5*4\/(-3))\/((-240)\/(-360)). Suppose c - 2 - 3 = 0. What is the third derivative of -4*n**2 + 0*n**2 + c*n**6 + 3*n**2 + k*n**2 wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1088)*-2*3*-6 + -5)**2.\nAnswer: -11520*sqrt(17) + 5640292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -243, -241, -239, -237, -235?\n\"Answer: 2*w - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280884 and 2630.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72.1 and -5.\nAnswer: 360.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 23801103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3438 = -2*j, 0 = -20*n + 23*n - 2*j - 2596. Let a = n - 14. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162017 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750373 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -936, 27.\nAnswer: -936, -79, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4 - 510*n**3 + 18408*n**2 = 0.\nAnswer: 0, 52, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/4 + 5*b**4\/12 - 7*b**3\/2 + 24*b**2 - 154*b. What are the prime factors of l(6)?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379347647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 14805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1836 and 1161162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d = 97*d + 120 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 5. Let o be p(5). Let j be (-10)\/o + -1 + 0. Let l = 1 - j. Solve l*m + 8 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003 < 2001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 - 198269?\nAnswer: -198268.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-200)\/(-12))\/25)\/(2\/33). Which is greater: -0.316 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 235*j - 237*j - j**2 - 244 + 461 - 16*j**2 to c + i*j**2 + x*j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282956?\nAnswer: 2, 127, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -2 (c) -0.3 (d) 228\/35 (e) -62 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 67 = t. Suppose 25*l = 26*l - 66. Suppose t*k**4 - l*k**3 - 35*k**4 - 3*k**5 - 36*k**2 + 108*k**2 - 27*k = 0. Calculate k.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949 is divided by 677.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46893164147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 352\/6 + 22\/(-33). Suppose h = 4*s + 38. Sort 0, s, 10, -2.\nAnswer: -2, 0, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11780457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 2*v**2 + 0*v**2 - v**2 - 3*v**2 + 2*v**2 + (v - 3*v + v)*(6*v - 3*v - 2*v) + 2971*v - 5857*v + 3 + 4266*v + 8*v**2 - 9*v**2.\nAnswer: -6*v**2 + 1380*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368.9301 + -0.0199. Let t = a - -2.95. Let d = -365.99999773 - t. Round d to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17284 = -q - 4*n - 17273, -1 = -3*q - 4*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*-2*(sqrt(77) - (sqrt(77) + sqrt(77) + sqrt(77)*3)))\/((3*sqrt(56))\/sqrt(2)))**2.\nAnswer: 16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35d57 + 16?\nAnswer: 35d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2395.\nAnswer: -4790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123203232 + -10?\nAnswer: 123203222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, 2, 0 in ascending order.\nAnswer: 0, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47559\/19 + -2503. Let f be (0 - -1)*(-1 - 2). Let q be (2 + f)\/((-3)\/6). Which is the closest to q? (a) -5 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/129 (b) -0.5 (c) -20 (d) -2\/5 (e) 24\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:52 AM?\nAnswer: 378","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 132\/8 - 24\/(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 24*l - 100*l - 1442 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/539 - -543\/1078. Let k = 2.1 - 2. Let r be 10\/24 - 18\/(-54). What is the third smallest value in r, k, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4860 = -233*o + 260*o. Calculate the highest common factor of o and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1711*1.\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3884419 and 2?\nAnswer: -7768838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86079.887879 - 86080. Let c = 0.112 + s. What is c rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*k**3*y + 22*h*k**2*y**2 + 3*h*k - k**3*y**2 - 14*y**2 wrt h.\nAnswer: -k**3*y + 22*k**2*y**2 + 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69915903 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d - 191 = 129 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-240)*-4)\/((-10)\/((-200)\/(-2))*2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 3*m**2 + 46 - 17 - 16 + 2*m**4 to x*m**3 + a*m + u*m**2 + v*m**4 + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -16 (b) 5 (c) -293 (d) 0.1 (e) -0.1 (f) 4 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2550400 to the nearest one thousand.\nAnswer: -2550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83634*g*r**3 + 30*g*r + 5*g - 101*r**4 + 2*r**2 - 25184*r wrt r.\nAnswer: -501804*g*r - 1212*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1387691881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 smaller than -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + ((sqrt(1584) + 2)**2 - sqrt(44)*-1).\nAnswer: 50*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 19\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 60*g + 220. Let b be u(3). Let f = 1.9 + -2. Let w = -0.1 - f. Put w, -7, b in increasing order.\nAnswer: -7, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5554692 divided by 2158.\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 + j + 23. Let l(x) = -5*x**2 - 13. Let m(o) = -5*l(o) - 3*y(o). Calculate m(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -164 in -0.3, -25, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4653297*p**3 + 2*p + 259794.\nAnswer: -27919782*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.2, 0.04, -1374.9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*x**6 + x**3 - 182*x**2 wrt x.\nAnswer: 17520*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a - 41. Determine z(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1427*m - 1430*m + 26 = -2*f, f + 38 = 4*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-12)*(-36)\/(-3). Suppose 9*g = 8*g - l. Let u(h) = -h**3 - 7*h**2 + 8*h + 1. Let v be u(g). Solve -2*q - 2*t - 20 = 0, -9 = 5*q - 3*t + v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -304, -590, -876, -1162, -1448, -1734?\n\"Answer: -286*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852 a factor of 3987875471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**5 + 56645*y**4 - 160347815*y**3 - 481383365*y**2 - 481496680*y - 160517780.\nAnswer: -5*(y - 5666)**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59106744 divided by -3?\nAnswer: -19702248","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 10712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 7*r**5\/5 + 5*r**4\/12 - 15*r. Find the third derivative of t(n) wrt n.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 10*l**2 + 12 - 11*l**2)*(5*l - 6*l**2 - 5*l).\nAnswer: 126*l**4 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k. Let h(q) = -183*q. Calculate h(s(t)).\nAnswer: -1098*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 321 + -318. Solve 0 = -0*o + 2*o - 3*h + 9, d*h = -2*o + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2. Let p(l) = -8*l**2 - 32*l - 64. Calculate 5*p(v) - 160*x(v).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -1.1. Let s be -26*(-3)\/(-18) - (-76)\/19. What is the third biggest value in -3, -1\/4, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 + -69. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -u - 0*u. Suppose -5 = -5*l + 5*t, -l + 2 = 3*t - u. Solve -7 - 14 = 2*z - l*j, 3*j = 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2646)\/441 - (3\/(-3)*-1 - 9). Let a = 0.6 - 0.3. What is the third biggest value in -14, a, r?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32365907882 and -0.01.\nAnswer: 32365907881.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 3*l**2 + l + 4. Let k be c(-2). Suppose -2*u + 3*n = u + 9, 0 = 2*u + 4*n - 6. What is the tens digit of (-14 + k)*(-1 + u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35289 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -26*c**3 - c**2 - c - 1. Let k be v(-1). Let n be 2\/((-10)\/(-25) - 0) - -3. Suppose -108 = -n*g - 68. Solve l - 21 = -4*x, -k = -g*x - l - 0*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -17. Is -12 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 117 = -6*d. Let v = 191\/5 + d. Which is the third smallest value? (a) 0.1 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**4 - 3058*i*p**3 - 2*p**3 + 4*p**2 + 4441 with respect to i.\nAnswer: -28*i**3 - 3058*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -503988 (base 13) to base 9.\nAnswer: -3451776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1314)\/1752*(-8)\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-120))\/((-6)\/12)*(-8)\/2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + 0.31. Let x = -0.89 - 0.01. Let f = x + 0.9. Which is the second smallest value? (a) 0.4 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80924?\nAnswer: 2, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 63*d**2 + 39*d**2 + 18*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 2 + -2 + sqrt(832))**2.\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 90*u**2 + 42 + 73*u**2.\nAnswer: -11*u**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 57*j - 1. Let h be m(1). Suppose 9 = 5*w - h. Suppose -5*c + 57 = 22. Calculate the remainder when w is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*q - 6 = 0, -d = 3*q - 4*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*46\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.9 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 442 - 438. Does 8 divide (-1*(-22 - k))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5562004 + 316?\nAnswer: 5562322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158 - -379c?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*v + 466*v - 135*v - 185*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25755629 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 17, -2\/13, 1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:39 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46973 + 4744227\/101. Find the common denominator of a and 65\/6.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21245, -21252, -21259?\n\"Answer: -7*v - 21238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*y - 2*u + 12, 3*u - 19 = -2*y. Let p = 3 - y. Suppose n + p = 6. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79097 divided by 6.\nAnswer: -79097\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9)*-39)\/((-68)\/(-102))*1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n + 8. Let h be y(-4). Suppose 10 = 3*k + p, k - 2*k - 4*p = 15. Suppose d + w + 3*w - 167 = 0, -k*w = h*d - 701. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.166 - 11.166. Which is the fourth biggest value? (a) q (b) -4 (c) -6\/67 (d) -2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-21))**(5\/17)\/(r**(-7)\/r**(-7)) assuming r is positive.\nAnswer: r**(-105\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 360. Let w be (80\/(-100))\/((-1)\/x). Suppose -h - w + 23 = -4*r, -2*r + 4*h + 26 = 0. Calculate the highest common factor of r and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8347346961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89770 is divided by 248?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.89 + -13.11. What is the second smallest value in -5, s, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*3\/(-6)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2288 + 2288 - 411*m + 408*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 702267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*o**3 - 200*o**2 - 227257*o?\nAnswer: 192*o - 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -32.2 (c) 0.14 (d) 2\/7 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6)\/24*(-833)\/17*48\/(-504).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**14*z*z\/z**(2\/7)*(z*z**(1\/6))\/z*z)\/((z\/(((z**7\/z)\/z)\/z)*z**(-2\/15))\/(z\/(z**(-1)*z)*(z\/(z\/(z**(-1)\/z*z)))\/z)) assuming z is positive.\nAnswer: z**(298\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*j + 2*j + 46, -5*g - 115 = j. Let y be (-70)\/g + 4\/(-22). Solve -4*v + y = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 + 147. Let l be (-24)\/(-36) - (1 - z\/(-8)). Are l and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*l**4 + 226*l**4 - 156*l**4 + (2 - 2 - 4*l**2)*(-29*l - 13*l**2 + 29*l) to o*l**4 + k + t*l + y*l**2 + f*l**3 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-1 + 7 + 2)*((2*f**3 - 2*f**3 + f**3)*(-3*f - 3*f + 3*f) + 0*f**2 - 2*f**4 + 0*f**2).\nAnswer: 40*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49578 and 9.\nAnswer: 148734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*w - 144 = -100, 93*v - 95*v + 40 = 4*w for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 22 = -3*s, 2*m - 767*s + 1532*s + 20 = 769*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28589 and 1265.\nAnswer: 142945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/3)\/(d\/((d\/(d*d**(-3\/7)\/d)*d)\/d))*(d\/(d*d**(-1)))**(-18)*((d**(1\/3)\/d)\/(d\/(d*(d*d**(-2\/7))\/d*d*d*d)*d))**(-14) assuming d is positive.\nAnswer: d**(-670\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7.06 times -0.2\nAnswer: 1.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - c**2 + 1. Let f(a) = -14*a**3 + 3*a**2 - a + 1. Let j(i) = -f(i) - 4*r(i). What are the prime factors of j(3)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 5 - -2) + 24 + -45 - -81.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001411 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 20020?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(1\/5))*p**(3\/7)*(p*(p\/(p*p**8*p*p))\/p)\/p**(-2\/27))**46 assuming p is positive.\nAnswer: p**(-404156\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -0*v. Suppose -2*k = 2*g - 8, 2*k + v*g + 3 = 13. Suppose -k*c + 0 = -16. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (30 - 24 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4113 = 32*g - 1519. Calculate the remainder when g is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -675, 559, -2, -89, -0.1 in descending order.\nAnswer: 559, -0.1, -2, -89, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 0. Suppose 0 = 5*v - 72 - z. Let y be v\/4 - ((-5)\/(-20) + 0). Solve 0 = -k - s + 6, 2*k + k - y = 2*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -29)\/((-5)\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 7\/2*z**2 + 1\/4*z**4 + 0*z - 7\/3*z**3 + 2. Let w be (-31 + 27)\/((-2)\/3). What is c(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2064006\/(-4))\/(-3) - ((-76)\/(-8) + -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t**3 + t**2 + 2*t + 1. Let q(y) = y**2 - 9*y - 37. Suppose 64 = 4*m + 4*i, 2*m + 3*i = 4*i + 20. Let r be q(m). Determine w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -6)\/9*(-27)\/(3159\/(-36))\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = 53. Let s be f\/12 - (-4)\/(-16). Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/60 + 7*h**4\/24 - h**3\/2 + 15*h**2. Give n(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose -f + 2*f - 77 = l. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**4 + c**3 - c**2 - 1. Let y(k) = 1134*k**4 - 5*k**3 + 64*k**2 + 3*k + 5. Let v(t) = 5*x(t) + y(t). What is the third derivative of v(h) wrt h?\nAnswer: 27336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/2*(-48)\/(-64)*-10*(-8)\/(-120).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54332976*l**3 - 4*l**2 - 8705*l - 891 wrt l.\nAnswer: -325997856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 21, 53, 101, 165, 245, 341?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 30. Suppose -9*a - 5 = -4*a, -138 = -m*q + 2*a. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 123 + 2?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 23683 = -899. Suppose 15*q - 4698 = -p. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16515 and 1163.\nAnswer: 19206945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16 (b) 10 (c) 2\/5 (d) -1\/3 (e) 423 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j + 7 = -113 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) -3 (b) -1 (c) -0.1 (d) 1 (e) 36 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18391193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Suppose -t*i - 124 = -0*i. Let s = i + 47. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.048984 - 0.001. Let y = -0.055 - -0.105. Let b = y + k. What is b rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*(-11)\/33?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a minute in seconds?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109039*i**2 + 2*i**3 + 109052*i**2 - 327152*i**2 + 109061*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(32\/(-36)). Let z be (-114)\/(-168) - (-3)\/(-7). Suppose m*f**2 + z + f = 0. Calculate f.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 640 = -78*z + 480 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(144)*-3)\/(sqrt(12) - ((sqrt(144)\/(-3*sqrt(12)) - sqrt(12)) + sqrt(12))))**2 + -5.\nAnswer: 2163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 441722 (b) 2\/3 (c) -2 (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -280, -415, -548, -679, -808, -935?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 3*j + 6. Let v(d) = -2*d**2 + 2*d - 4. Let r(g) = 2*i(g) + 3*v(g). Determine r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -116, -270, -488, -770?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -200313323?\nAnswer: -200313312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 1. Let u be v(2). Let l(t) = t**2 + 5. Let o be l(0). What is the second smallest value in 1, o, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616708404 a multiple of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n + 3\/2*n**3 + 25\/2*n**2 - 50.\nAnswer: (n - 2)*(n + 2)*(3*n + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/118 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppvpppppppppppp. Give prob of sequence pv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(121)*1)\/sqrt(11) + 2)**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14632936889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1476 by 36.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - i = 95, 6*c - 2*c + 4*i = 76. What is the highest common factor of 646 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - 5*c - 4. Determine i(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p + 7. Let r be k(1). Put 0, r, -5 in ascending order.\nAnswer: -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + q - 7. Let f be v(7). Let l = 33 + -16. Let n = -18 + l. Is f <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 9*t + (1 + 2*t - 1)*(-3 - 2 + 2) + 3 + t - 3)*(-8 + 9*t + 8)*(-2*t + 3 - 3).\nAnswer: 252*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s**5\/2 + 155274*s**4 + 892307487*s**3\/2 - 1886943537*s**2 - 1189283172*s + 6354625728 = 0. Calculate s.\nAnswer: -5753, -16\/9, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:47 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.3. Let r be (-53)\/(3324\/22 + -2). Let l = 4\/205 - r. Put 5, a, l in decreasing order.\nAnswer: 5, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 16 + 2. Is w\/108 - (-4886)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 121224*r - 17741336.\nAnswer: 2*(r - 60758)*(r + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 2*y**2 - 17*y + 2. Let x(z) = 2*z - 8. Let j be 10\/4*(31 - 627\/19). What is j*x(h) + 2*u(h)?\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 1 - 1)*(-8 + 0 + 4)*(4 + 8 + 10)*(-3 - 1 + 2 + (1 + 3 - 6)*(-3 + 3 - 1) - 2 + 2 - 2).\nAnswer: -176*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 667448 and 667449 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 122*a. Let m(h) = 61*h**2 + 2. Calculate l(m(g)).\nAnswer: -7442*g**4 + 6954*g**2 + 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s, 11*s - 12*s = 5*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 135*v**2 - 120*v - 260.\nAnswer: -5*(v - 26)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2348963795*p - 2348963795*p + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 15*g + 49. Calculate u(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 2. Let r = -4 + p. Is -1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4 + 42 - 268*y**3 + 23 + 318*y**3 + 190*y + 180*y**2 = 0?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137315 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9501 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*v - 23*v = 243*v + 205*v + 17616 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 116330 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -166001*w**2 - w. Let t be 3*6\/9 - 3. Let v be l(t). What is v rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 18528 = 15*g. What are the prime factors of g?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 9*h**2 - h - 6. Let d(t) = -6*t + 3. Let l be d(2). Let q be c(l). Suppose 2*x = -q*x + 10. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61461 and 798993.\nAnswer: 798993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*t**3 - 14847*t + 15281*t - 474*t**3 wrt t?\nAnswer: -3216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.486 rounded to 0 decimal places?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*v + 10836, 2*q + 2722 = v + 6*q. What are the prime factors of v?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/6 in 0.5, 2, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-7 + 31)) + -8 - 7?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 19 - 2)*((1 - 1 - 2*r)*(-4 + 2*r + 4) - 3*r**2 + 0*r**2 + r**2).\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/(-22) + 2\/11. Suppose 38 = 7*s - k. Suppose w + 0*w = s. Sort -5, 4, w.\nAnswer: -5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 481\/6 - 80. What is the closest to -1 in o, 2, 5\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**2 + 52*k**2 - 91*k**2 - 57*k**2 - 60 + 55.\nAnswer: -137*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2775417 is divided by 13604.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.049 in 0.03, -6\/1699, 0?\nAnswer: -6\/1699","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 3*l - 6*l + 18*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40456*i**3 + 2*i**2 + 6858*i + 16995076 wrt i?\nAnswer: 121368*i**2 + 4*i + 6858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 154?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 4 + 1 - 2 - 5. Let d be w(-9). Calculate the greatest common divisor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + x + 6. Let l(u) = u**3 + u**2 - 4. Let w be l(0). What are the prime factors of z(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 180, 302, 424, 546, 668?\n\"Answer: 122*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + k**2 + 1. Let h(t) = 163*t**3 + 6*t**2 - 214. Let m(b) = -h(b) + 6*x(b). What is the first derivative of m(z) wrt z?\nAnswer: -507*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*x - 2, -116*h + 17 = -123*h + 4*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*g + 16 - 5, 3*d + 5*g + 52 = 0. Let l = 14 + d. Suppose m + l*z = 7 + 2, -4*z - 74 = -5*m. 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: Suppose 4*x + 0*x = -5*c + 1390, c - 347 = -x. What is the highest common divisor of x and 1587?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -873, -2, -40\/9 in increasing order.\nAnswer: -873, -40\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2330.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**7\/840 - y**6\/24 - 3*y**5\/5 - 14*y**4\/3 + 53*y**3\/6 - 45*y**2 - 2. Let o(g) be the first derivative of f(g). Factor o(s).\nAnswer: -(s + 4)**2*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w - 10. Let a be i(4). What is the highest common divisor of a and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24900 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 762\/117 + (-8 - -4)\/(144\/24). Factor 74\/13*u - 2\/13*u**2 + j.\nAnswer: -2*(u - 38)*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -3, 65, 185, 363, 605, 917, 1305?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*j + 6 + 2 = 0, 0 = g + 2*j - 4. Let n be 0 + 0\/6 - (-1 + g). What is the units digit of 18\/(-6) - (-114*1 - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n + 15. Let s = n - -5. Suppose 0 = -4*f - 2*z + 30, -2*f - 5*z = -2*z - 25. Solve f*h + 0*h = s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 503344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1 - 6*g - 1 + 0. Let u(b) = b. What is u(w(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let l = -229.2 + 229. Let g = -0.09 - -0.29. Sort l, g, n in decreasing order.\nAnswer: n, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 - (-8 + 2 + 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 47*d**3\/3 + d**2 + 3*d + 2. Is p(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-1))\/(4*5\/(-130)). Suppose -4*b = -0*b - 104. What is the highest common factor of w and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/34 - 195992\/(-136) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l - 75 + 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.2 - 5. Let s = a - -4.8. Put s, 1\/4, -2\/7 in decreasing order.\nAnswer: s, 1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 909*r + 206*r - 292*r + 743*r.\nAnswer: 1566*r + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1796*b**3 - 5*b**2 - 5*b + 615. Let l(g) = -896*g**3 - 3*g**2 - 3*g + 307. Let x(p) = -5*l(p) + 3*w(p). Find the first derivative of x(t) wrt t.\nAnswer: -2724*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*l + 12, -3*l = f - l - 9. Let a = f - -4. What is the greatest common factor of a and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.1628545\nAnswer: -0.04885635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.09 - -3.26072. What is a rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 10. Let a be (10*-3)\/(-2 - u). Solve -a = -3*d, -d + 18 = 4*c + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -12, -25, -32, -27?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19832, -79638, -179416, -319166, -498888?\n\"Answer: -19986*k**2 + 152*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6)\/b)\/b)\/(b\/(b\/(((b*b**(1\/20))\/b)\/b))*b)*(b**0\/b*b)**(-1\/17) assuming b is positive.\nAnswer: b**(-113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -213758*g**4 - 15*g**3*r - 23225*r + 3 with respect to g.\nAnswer: -855032*g**3 - 45*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 4\/375 (c) 1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - f + 1643236 = 0, -2*f + 1643220 = 5*v + 3*f. Let k = v - -191352. What is k 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 fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*n + 75 = 0, n = -2*h + 42 + 53. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-320)\/48. Suppose 41 = -h*k - 19. Which is the biggest value? (a) k (b) -2\/9 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let m(p) = 20*p. Let d(g) = -3*g - 5. Let z(k) = -10*k - 16. Let o(t) = -16*d(t) + 5*z(t). Let h(y) = 2*m(y) + 18*o(y). Determine q(h(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*n**2 - 148*n**2 - 317*n**2 + 48*n**2.\nAnswer: -730*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from apbbgvp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/480 and 113\/528.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 946, 1933, 2920, 3907, 4894, 5881?\n\"Answer: 987*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 3 = -5*v, 5*s = 3*v + 15. Let n(b) = b + 5. What is n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*w - 15 = 0, 4*w + 18 = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 - w + 1. Let n = -536 - -534. What is h(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 47 = -17. What is the tens digit of (161 - l) + ((-36)\/3)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1163, -1161, -1159, -1157, -1155, -1153?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 511.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 + 16 = -3*u. Let p = u + -50. Suppose p = -44*l + 38*l + 2454. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 9*w + 1. Let n be c(-7). Which is bigger: 14 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3927, 3681, 3435, 3189, 2943?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9757, -9758, -9757, -9754, -9749, -9742?\nAnswer: -9733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.14362 years to centuries.\nAnswer: 0.3114362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10545 + -10544.649. What is the nearest to l in 4, -2, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*31754\/10)\/((-40)\/100) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.2 - 27.2. Sort -4\/5, g, -0.7 in increasing order.\nAnswer: -4\/5, -0.7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 27771*o + 942827. Calculate j(-34).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + 1856744*x. Let w(s) = s**2. Give i(w(y)).\nAnswer: -3*y**4 + 1856744*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 269*z - 928. Let a be q(93). Suppose -2*n - 2*n - 4 = -5*r, -24 = -5*n - r. Solve -a*h - 2 = -n*h, 4*h = -5*t + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(1\/5)))\/m*m\/m**(-2\/9))\/(m*(m*m*(m**0\/m)\/m*m)\/m)**(-5)*((m**0*m)**(-42))**(-9\/4) assuming m is positive.\nAnswer: m**(8993\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4\/9, -5.5874, 3\/2 in decreasing order.\nAnswer: 3\/2, -0.2, -4\/9, -5.5874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22081, 21854, 21231, 20014, 18005, 15006, 10819, 5246?\n\"Answer: -33*t**3 + 4*t + 22110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 - 657*s**2 - 855*s - 6517. Calculate q(-163).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 10200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/15 + 1\/(-3)*-14. Let d(y) = -6*y + 0*y + h*y. Let z(v) = -33*v. What is d(z(j))?\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -4. Let r(j) = 5*j**2 + 1. List the prime factors of r(d).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171) + -2 - sqrt(171))**2 + (sqrt(171) + 4 + -3*sqrt(171))**2 - (sqrt(171)*-6 + sqrt(171) + -3 + -1).\nAnswer: -33*sqrt(19) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 0*v = 0. Suppose c + c - 128 = v. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6086, -6088, -6090, -6092, -6094, -6096?\nAnswer: -6098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 15*b - 48 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j**2 - 4*j + 5. Let z be 12 - (-3 + 6) - 6. Let c be h(z). Suppose -2*v + 90 = -64. What is the greatest common factor of c and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (5 + -9) - 14 - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2394, 1\/6, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1017*i - 11823 wrt i.\nAnswer: 1017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -45*r**4\/7 - 55254*r**3\/7 - 3225060*r**2 - 3053032200*r\/7 + 6616416000\/7 = 0.\nAnswer: -410, 32\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-1 + (-8)\/(-14)). Suppose 4*o + 2*j + 20 = 9*o, 4*o + 5*j + 17 = 0. Is o greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**2 + 120*h - 20. Let k(l) = 6*l - 1. Let s(d) = g(d) - 20*k(d). Let v(c) = 32*c. What is s(v(n))?\nAnswer: -12288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-28 + -1)*1. Let m = t - 15. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 t when four letters picked without replacement from {t: 3, v: 6, p: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - 2. Let a(u) = 8*u**2 + 2*u - 5. Calculate a(o) - 3*l(o).\nAnswer: 20*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 131*b**3 - 5*b - 132*b**3 - 5*b - 24. Is q(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 38 = -4*j - 2, 0 = 2*k - 2. Factor 3*b**2 - 72 + 225 - 97*b + j*b - 67*b.\nAnswer: 3*(b - 51)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -11*u + 80. Let h(q) = 7*q + 5. What is the remainder when h(7) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16862 times 0.0834?\nAnswer: 0.014062908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103710, 207276, 310844, 414414?\n\"Answer: f**2 + 103563*f + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -21, -2\/15, 1.6, 0, -5 in descending order.\nAnswer: 1.6, 0, -2\/15, -5, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {d: 1, g: 2, l: 1, u: 2, m: 2, x: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0 + 0*m**3 + 23\/15*m**6 + 11*m + 0*m**5 - 11\/12*m**4 + 0*m**2. Find the third derivative of b(i) wrt i.\nAnswer: 1104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 14 = -2*i + 11, 30 = 4*i + 6*q. Let p(f) = 3*f**2 - 3*f + 19. Let s(m) = -m**2 + m - 6. Let b(t) = -3*p(t) - 8*s(t). Give b(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39405472 or 39405473?\nAnswer: 39405472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 30*x + 62. Let j be s(-29). Let p be -3*((-11)\/j - (-2)\/3). Which is the third smallest value? (a) -1\/6 (b) -0.39 (c) p (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 17. Let a = 6 - d. What is the nearest to 1\/2 in 5, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15.924, -0.4, 16, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let i(n) = 2*n**2 - 8*n + 9. Let c(w) = i(w) - 5*o(w). Let d(t) be the first derivative of c(t). Find the first derivative of d(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 172 + 56 + 46 + 3*y.\nAnswer: 3*y - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/11 - 1052*u**4\/11 - 6234*u**3\/11 + 3224*u**2\/11 + 54200*u\/11 + 62400\/11 = 0. Calculate u.\nAnswer: -520, -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*i + 139*i**2 - 121*i - 148*i + 403*i.\nAnswer: 139*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 = -2*b, 2 = -2*b + v + 3. Suppose -a + 59 = 2*m + b*m, 2*a - 5*m = 157. Suppose 4*w + 43 = 139. Calculate the remainder when a is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 135 (b) -11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = -j, 0 - 24 = 2*j + k. Let w(t) = -7*t**2 - t + 4. Let z be w(-3). Let i = j - z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Which is the biggest value? (a) -4 (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 1) + (-5)\/5. Let v be j\/(-10) - (-8)\/5. Solve -2*c + 10 = 2*x - x, -v*c - 14 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -10. Let t be (4\/x)\/((-4)\/(-70)). Let r = -730 + 729. Which is bigger: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4911, 4919, 4931, 4947?\nAnswer: 4967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-1896)\/3081\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25074347 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111 - 116. What is the third smallest value in 2\/9, -2\/9, -1\/4, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Suppose 0 = 5*y + 3*m - 264 - v, m + 228 = 4*y. What is the units digit of 3\/(-1) + y\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149611 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*i**2 - 246*i**2 + 37*i**2 - 173*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (209*n + 21*n + 46*n)*(0*n + 0*n + 3*n) + 6 - 6 - 23*n**2 in the form v*n**2 + j + a*n and give v.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -15. Let z = g + -30. What is the first derivative of -2*n + 10*n - z*n + 5*n - 15 wrt n?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 21 + 31. Suppose -j = h*j - 290514. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*h + 103, 4*a + h + 13 = 108. Let d be 3\/9 + (-250)\/(-6). Let m = d - a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 j when four letters picked without replacement from jvvggggggggvygg?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -13. Let l = i - 7. Solve l = f + f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2059 and 3550.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/630409 and 1\/14157.\nAnswer: 686515401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2005 or 2010?\nAnswer: 2005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -83163, -0.3 in ascending order.\nAnswer: -83163, -0.3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143 + -5?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x - 31*x + 117 + 11*x + 13*x as l*x + s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(208) + ((sqrt(208)*1)**2 - sqrt(208)).\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 95510937*b**2 - 760194971640297*b + 760194876129363.\nAnswer: -3*(b - 15918489)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:26 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 25. Let f = -428 + 431. Suppose -o - 12*h = -8*h + 6, 38 = 5*o + f*h. Give n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 22444776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9, 0 = -5*v - x - 4*x + 1065. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 22. What is n(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -2*s + 50. What is the greatest common factor of 19 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 8*h. Suppose 0 = -5*s - t + 6, -h*s - t = 2*t + 8. Let y(m) = -m**s + m**2 + 4*m**2 - 2*m**2. Let f(k) = 8*k**2. What is f(y(c))?\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2 - 2)*(-2*t**2 + 6*t**2 + 0*t**2 + (8 - 8 - 4*t**2)*(0 - 2 + 0) - 20*t**2 - 1421 + 1421).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1185064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 358, 189, -92, -485, -990, -1607?\n\"Answer: -56*s**2 - s + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66068 and 8?\nAnswer: 132136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -7, -10, -13, -16?\n\"Answer: -3*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*f**2\/15 - 694*f\/3 + 124\/15 = 0. What is f?\nAnswer: -62, 1\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*i**3 - 114*i**3 + 30*i**3 - 5*i**3.\nAnswer: -147*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.80838 + -0.13842. Let f = 0.0568 + k. Let a = -0.11 + f. What is the third biggest value in -7, a, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38778 less than or equal to 349010\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528)*2)\/(1*sqrt(11)*-6) - (1*sqrt(9)*-3)\/(2*sqrt(147)))*-2.\nAnswer: 47*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6043728 divided by 10209.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 29*x - 2 + 0 + 0*x + 3*x - 4*x + (-3 + 1 + 4)*(-4*x + 4*x - 14*x).\nAnswer: -58*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10764 (base 10) to base 15\nAnswer: -32c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -150*d. Let b = -500 - -465. Let f(k) = -25*k. Calculate b*f(j) + 6*i(j).\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 343*t**3 - 685*t**3 + 334*t**3 - 2 + 11*t**2 + t**4 as r*t**2 + m*t + y*t**3 + f*t**4 + s and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2. Let f(x) = -2912 - 5017*x + 1395 + 1517. Calculate f(i(p)).\nAnswer: 5017*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 plus -27?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.042 - -8.867. What is k rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -5) + -23 - (-2 - -2 - -16)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*s**5 + 962*s?\nAnswer: -5820*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*o*w**3 + 3*n**2*o*w - 25*n**2*w**3 - 131*n*o*w**2 - 3*n*o*w + 2*w**3 wrt n.\nAnswer: 12*n*o*w**3 + 6*o*w - 50*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(36300\/9)*(-30)\/9?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q + 32*q + 185. Let m = -177 + q. Solve 5*y - m*y + 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -21*w**3 - 24*w**2 - 13*w + 3. What is s(-3)?\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + n - 1. Let k be s(1). Find the second derivative of 4*v + 2*v + 3*v**k + 0*v**2 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 - 7*f + 4. Let p be b(5). Let a be ((-58875)\/p)\/(1\/(-1600)). What is a rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from {g: 3, l: 2, d: 5, w: 2, y: 2}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2404 - -4?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 28*j**6\/27 - 2*j**5\/45 - j**4\/9 + 28. Let g(b) = 0. Calculate b.\nAnswer: -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h - j = 48*h + 20838, -4*h = -2*j - 83340. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 4047850.88.\nAnswer: 4047864.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7298405*y**4 - 498733*y - 498 wrt y.\nAnswer: -87580860*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 3:59 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -214 + 207 + -7 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {b: 3, v: 1, x: 2, j: 1, t: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + j - 25 = -g, 0 = -5*g - 5*j + 45. Calculate the highest common divisor of 40 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 21*c**2 + 12*c - 7. Let t be q(-9). Let k = t + 2832. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*m + 99 wrt m.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -484a38 - 5?\nAnswer: -484a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5430115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 15 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4090 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -11100100001?\nAnswer: 11100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 5.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3196 - -3216. Solve -12*d + s = -16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 - -110. Which is the closest to w? (a) 1\/5 (b) -2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*m + b, -4*b - 119 = -115. What is the nearest to 2 in -0.05, m, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auup. What is prob of sequence pau?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 10. Suppose 12 = 3*j, 3*j = -0*s - 3*s + 21. Let u be s\/(-5)*4\/(-6). Which is the third smallest value? (a) u (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-270*x + 36*x**3 + 270*x)*(-12*x + 16*x - 64*x).\nAnswer: -2160*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3, 0*i - 5*i + 41 = -2*c. Let r = 12 + i. What is the remainder when 74 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-51) + (31 - (-18772)\/(-323)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 197*z**4 - 189*z**4 + 11 - 1 wrt z.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25676 and 1940372?\nAnswer: 13582604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 0.12, 4608?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14570 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 638248979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9 and -103\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6906.472 minutes?\nAnswer: 414388320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {p: 1, m: 6, e: 4, u: 6, l: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2150147 to the nearest one thousand.\nAnswer: -2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1. Suppose -22 = -2*r - 8. Let i(h) = -r + 12 - 4 - h. Calculate -b(t) + i(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - ((40 - -7) + 9)) + -30.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = 2*c, -5*c - 4*h - 3 = -19. What is the third derivative of -3*i**2 + 0*i**2 + i**2 - c*i**5 wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -16 + 2. Let p be ((-4)\/7)\/(2\/s). Suppose h + 5 = -5*m, -3*m - 10 = p*m. What is the smallest common multiple of 2 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**13*m*m**(-5))\/(m**6*m**(-4\/11)) assuming m is positive.\nAnswer: m**(37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2640740619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -6. Suppose -12*g + 17*g - o = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -339578 in descending order.\nAnswer: -3, -5, -339578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*p**2 - 117 + 17*p + 117.\nAnswer: 70*p**2 + 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 9*p + 10. Let u be c(-8). Suppose 0 = 5*x + 3*m + 50, x - 1 - 2 = u*m. Let b(r) = r**3 + 8*r**2 + 7*r + 1. What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 47*j - 56*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1577949, 3156611, 4735273?\n\"Answer: 1578662*t - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1558590 divided by 330.\nAnswer: -4723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 512 + -507. Let m = -1 - -2. What is the biggest value in m, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2324 (base 14) to base 5\nAnswer: -143413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 5 + 1 + -15 - (-1 + 9 - -3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1. Which is the nearest to l? (a) 1 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:17 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5)*(-4 + -16). Let w(r) = -r**3 - 6*r**2 + 10*r - 2. Let u be w(s). Suppose -4*n + 486 = 3*c - u, 5*c + 630 = 5*n. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 11 - 7 + 0*t. Let a(m) = 5*m - 7. Let j be a(2). Determine x(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 2*s**3 - s**3 - 25 + (2 + 2*s**2 - 2)*(2*s - 2*s + 2*s) + 159*s + 23*s**3 - 159*s.\nAnswer: 24*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-537604)\/(-12) - 1) + (-4)\/(-6). Round i to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 5:26 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 18*a**2 + 14*a + 71. Let u be k(19). Find the common denominator of (u\/189)\/((-28)\/98) and -155\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6684493?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 6*d + 3*d - 3*c - 42, -63*d + 58*d + 25 = -5*c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -16. Let l(n) = -7*n - 6. Let p(y) be the first derivative of -13*y**2\/2 - 11*y + 44. Calculate c*p(z) - 11*l(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(18) + sqrt(36)\/sqrt(2))\/sqrt(6))*-3.\nAnswer: -15 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.72 - 2752885752?\nAnswer: -2752885755.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8266508.\nAnswer: 2, 29, 71263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.259\nAnswer: 0.1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.3. Let h = 35393 - 35393. What is the closest to h in 0.4, 5, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let f(n) = 3*n**2 + 14*n + 16. Let m be f(-5). Let v(j) = m - 8 + 2*j + 6 + 2. Calculate v(l(i)).\nAnswer: 4*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 17*x - 33. Let f be (-3 + 1)\/(2\/x). Let s(j) = 2*j**2 - 3*j - 3. Let g(b) = 10*b**2 - 16*b - 16. Calculate f*s(v) + 2*g(v).\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.9 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**4\/12 - z**3\/6 - 13*z**2. Let x(f) = f + 1. What is -4*t(v) - 6*x(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 + 295430*k - 295425 = 0.\nAnswer: 1, 59085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10972933.\nAnswer: 29, 367, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/21)\/2)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g - 4*a - 16, 3*a + 12 = -2*g. Suppose 2*o - 2 - 4 = g. What is the second derivative of 2*t**o + 7 - 7 - t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/9 (c) 7709 (d) -4 (e) 0.14 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcfjwccc. Give prob of picking 1 p and 1 c.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.09, -0.025, -0.5, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 - (-70 - (-14 - 44))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*s + 140100015 = 0, -s + 46699991 = -n + 2*s. What is n rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2\/5))\/n**(-13)*(n**(1\/10))**(-9) assuming n is positive.\nAnswer: n**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x**3 - 70*x**2 + 2*x + 251. Let n(j) = -10*j**3 + 65*j**2 - 2*j - 250. Let s(d) = 6*n(d) + 5*o(d). What is the second derivative of s(v) wrt v?\nAnswer: -60*v + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 2*f**3 - 5*f**3 + f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6560336.\nAnswer: 2, 23, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 + (-176)\/(-28) + -1. Suppose -4*g - 2 + 34 = 0. Solve -28 + g = -x*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**8\/56 + f**7\/35 + f**4\/12 - 85*f**3\/2 - 35*f**2 - 4. What is the second derivative of z(r) wrt r?\nAnswer: -120*r**3 + 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0*b**3 + 1\/24*b**4 + 6*b**2 + 0*b + 0. Let d(r) = -r. What is l(d(y))?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 38 = 12. Suppose -t - 36 = -j. Let g = 31 + t. Which is greater: 6 or g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {d: 3, k: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 39786?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c**3 + 1026*c**2 + 908*c - 90. Calculate u(65).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6.46678 - -459\nAnswer: 465.46678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1317.1 - 1317. What is the biggest value in -3, v, -0.1, 1\/37?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d + 41. Calculate l(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*c = -0*k + 11, -k + 2*c = 0. What is the smallest common multiple of k and 7\/21 - 14\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011100101 - -11?\nAnswer: -1000011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, 0, -5, 22 in descending order.\nAnswer: 25, 22, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-2\/9)\/j))\/(j\/((j\/j**(-3\/7))\/j))*(j\/(j\/j**1)*j)**8)\/((j*j**(-1))**(-47)\/(j**0)**(-7\/4)) assuming j is positive.\nAnswer: j**(1112\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 79*h + 570. Calculate z(71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - -27) + -28 + -25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/(-40) + 2\/5. Let i = s - -9\/8. Let l be (3 - (-70)\/15) + -6. Which is the nearest to 0? (a) l (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 1\/15*s**5 + 9*s**2 + 0 + 22\/3*s**3 + 2*s + 2*s**4. Solve b(f) = 0 for f.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -460 divided by 16\nAnswer: -115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 522 - 977. Let f = a + 792. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 2:18 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 178*z**2 - 305*z - 4. Let g(l) = 1. Let p(i) = 4*g(i) + u(i). Find the second derivative of p(y) wrt y.\nAnswer: 356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dok when three letters picked without replacement from {k: 2, s: 1, b: 5, o: 1, d: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*123913627.\nAnswer: -3717408.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*q**4 - 32*q**3 - 458*q**2 + 11958021.\nAnswer: -252*q**3 - 96*q**2 - 916*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnznnznnnznznnn. What is prob of picking 3 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 115228 a multiple of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 73*k**2 + 3*k + 451. Let p(c) = 3*c**3 - 148*c**2 - 7*c - 901. Let h(r) = -3*p(r) - 7*q(r). Differentiate h(f) wrt f.\nAnswer: -6*f**2 - 134*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879 = -2*h - h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27244458 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2361 divided by 4386?\nAnswer: -787\/1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28 - ((-5 - -2) + -9 + 29 + -5)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -85*j**2 + 6*j + 2. Let o(l) = 169*l**2 - 11*l - 3. Let b(p) = 4*o(p) + 7*z(p). What is the remainder when b(1) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(3 + -4) + 33\/3. Suppose y = -v + 18. What is the second derivative of 6*l - y*l + 2*l**2 - 17*l - 21*l**2 wrt l?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.0922320159 + -33?\nAnswer: 150.0922320159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times 2.3?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -31 + 16 - r - r**2 - r + 19 + 5*r. What is x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 22*p - 101. Let x(n) = -n**3 - 3*n**2 + 7*n - 2. Let g be x(-4). What is the units digit of t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24696 by 196.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5606 + 5692. What is the remainder when c is divided by (-2)\/(-2)*1 - -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 3\/7 (c) 3\/2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 40*m = 21. Let j(h) = h**3 - 20*h**2 - 20*h - 36. Let a be j(m). Let r(p) = -2*p - 21. Let i be r(a). Sort 1\/6, -0.2, i, -0.5.\nAnswer: -0.5, -0.2, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 11, u: 1}. Give prob of picking 1 p and 1 e.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1838, 1826, 1800, 1754, 1682, 1578, 1436?\n\"Answer: -j**3 - j**2 - 2*j + 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2)\/((-2)\/20). Let x = q + -10. Which is greater: x or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 - 31*b - 1. Let u(i) = i - 359. What is u(w(c))?\nAnswer: -7*c**2 - 31*c - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, f: 1, s: 1, d: 1, t: 1, u: 2}. Give prob of sequence tsdu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7600 and 273200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**2 - 1\/40*r**6 + 0*r + 1\/5*r**5 - 5\/8*r**4 + r**3 + 0. Solve a(v) = 0 for v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 + 218. Suppose -5*k - 10 = -y, 3*y = 2*k - l - 6. Is y less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**28\/l*l*l**(6\/17)\/l*l**(-1\/27)\/(l\/(l\/(((l\/(l\/(l\/((l\/(l**(-5\/4)*l))\/l))))\/l)\/l))) assuming l is positive.\nAnswer: l**(52447\/1836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 549959 + 548466 + 2*g)*(4 + 0 - 3 + (2 + 3 - 4)*(-1 + 1 + 2) - 2 - 2 + 6)*(5 - 3 - 1).\nAnswer: 5*g - 7465","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 5*r + 20 - 45.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 14 + 14 - 171*i + 51*i.\nAnswer: -120*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i)\/i)**(-10\/3)*((i*i\/i**(-1\/2))\/i)\/(i\/i**3) assuming i is positive.\nAnswer: i**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 334267? (a) 2\/7 (b) -3 (c) -1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1702*p - 929*p + 1272*p + 499*p to q*p + f and give q.\nAnswer: 2544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**3 + m. Let i be ((-18)\/(-4))\/(-3)*-2. Suppose 5*h - i = 2*h. Determine j(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -h - 3*h - 2*t, -5*t = -2*h - 5. Suppose 195 = 5*v - 3*l, -2*l = 4*v - 5*l - 156. What is the remainder when 1515\/20 + h\/4 is divided by v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4733 + 4737. Solve -5*z + l = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a - 22. Let q(p) = -12*p + 40. Let h(y) = -7*n(y) - 4*q(y). Give h(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*p*s**3*t + 31*p*s**2*t**2 - 16*s**3*t**2 + 25*s**3*t + 36*s*t**2 - 13*s*t wrt t?\nAnswer: 62*p*s**2 - 32*s**3 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**2 + 2. Let h(b) = -2*b - 4. Let q(l) = l + 1. Let x(w) = -h(w) - 4*q(w). Determine x(k(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 + 3. Let t be c(0). Let h be 168\/36 - 1\/(-3). Put h, t, -3, 0 in increasing order.\nAnswer: -3, 0, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976697 is divided by 1084?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -16*q**5 - 440*q**4 - 3337*q**3 - 4291*q**2 - 1547*q - 169 = 0.\nAnswer: -13, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851373927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3033.281 rounded to the nearest 10?\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipitpniz. Give prob of picking 1 t and 2 i.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, j: 2}. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.408 - 0.8?\nAnswer: 506.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76570)\/(-93))\/(-26)*(-45)\/25?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/9, 1\/2, -5, 21, -857, 0, 10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72297 and 11357?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266\/228*99\/42.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 13629736683?\nAnswer: -13629736678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least 228\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 3*z**5\/5 + z**4 - 17*z**3\/6 + 21*z. List the prime factors of d(4).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24206186205*s**2 + 168381180*s + 292820.\nAnswer: 5*(69579*s + 242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*b - 42*b - 10*b + 1805804. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/45725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 1. Suppose 2*r = 2 + 4. Let l(w) = -w**3 + 3*w**2 - w - 3. Let x be l(r). Is 10 a factor of i(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*o - 4135, -4*o + 2*o + 1629 = 3*n. List the prime factors of o.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37065434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + (11 - (3 - -8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t**2 - 2 + 0*t**2 + 9*t. Let y be u(9). Calculate the common denominator of -10*(y + (-14)\/(-12)) and -31\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0)**49\/((o*o\/o**(-1)*o)\/o*o**(1\/10)\/o) assuming o is positive.\nAnswer: o**(469\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 2432.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9 - 1\/(-2). Let i = 7052 - 7056. What is the nearest to v in -5, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 + v**4\/24 - v**3\/6 + v**2. Let t(o) = 7*o**2 + o + 2. Let u be t(-2). Let w = u - 31. Calculate r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 148?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*f**2*o**3 + 4*f**2 - 2*f + 40*o**3 + 20 wrt o?\nAnswer: -48*f**2*o**2 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92, -204, -314, -422, -528, -632?\n\"Answer: n**2 - 115*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p = -45*p - 663 - 957 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -7. Let u be (35\/14)\/(l\/(-6)). Solve 0*m = 3*m - u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0bb6 - -1?\nAnswer: -a0bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 - 7*p**3 + 7*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9265\/27 at most as big as -344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -20*(15\/(-6) - -1) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6696, 24789, 54284, 95181, 147480, 211181?\n\"Answer: 5701*l**2 + 990*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6205 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + 213\/45. Let h = 5 - w. What is the third smallest value in -5, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*v - 13, -621*w - 11 = 3*v - 619*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123084 divided by -4734.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -106\/5*z**3 + 82\/5*z**4 + 14\/5*z - 54\/5*z**2 + 12*z**5 + 4\/5 = 0.\nAnswer: -2, -1\/2, -1\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*v - 2 = -170*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -3\/7, -2\/19, 1\/4, 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462669351 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqv when four letters picked without replacement from {q: 15, v: 3}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -85*h + 5. Let a(b) = 83*b - 6. Give -4*a(z) - 5*u(z).\nAnswer: 93*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 9. Let d = 565013.5 + -565013. What is the closest to 1\/7 in -2, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -833 divided by -7.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9) - (-10)\/6. Let z be (-3 - (-12)\/2) + 7. Let i = z + -7. Solve -k*n - 5*f - 4 = -4*n, 0 = -5*n - i*f - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -259, -371, -463, -529, -563, -559, -511?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 6*(-2)\/(-4). Suppose h*i - 5*w - 348 = 694, 4*w - 1323 = -5*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-84)*-7*(-56)\/(53312\/42)?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/5 - 58*f**2 + 1492*f\/5 - 240 = 0. What is f?\nAnswer: -150, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/180 - 3*i**5\/20 + 11*i**4\/6 - 3*i**3\/2 + i**2 + 27. Let s(m) be the first derivative of r(m). Factor s(u).\nAnswer: -2*(u - 2)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(119))\/sqrt(7))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*m**3 + a**2 + 7*a*m**3 - 396*a - 8*m**2 wrt m?\nAnswer: 3*a**2*m**2 + 21*a*m**2 - 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - f + 11, -6*f - 11 = -t + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 206 = -5*f, -394*f - 236 = -4*r - 391*f. What is the remainder when 274 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 + 4*j**3 - 183*j**3 + 7*j**3 + 159*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 1 + 1)*((4*w - 5*w + 4*w)*(0*w + w + 0*w) - 1 - 2*w**2 + 1).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 14345?\nAnswer: 14345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -78*y - 31. Let x be d(-3). What is the highest common factor of x and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*-6*32\/60*5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:56 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 2.\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -6. Let c = -68 - -68. Put h, -4, c in decreasing order.\nAnswer: c, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -10, 360.\nAnswer: -10, 54, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:57 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -0.4?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = -7*q. Find the second derivative of -6*l**5 + l**q - 18*l + 10*l wrt l.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 232679?\nAnswer: 232679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*w + 205*w - 988*w + 335*w = -1310 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2\/6) + -1. Suppose x*s = -2*s. Solve 5*i - 15 = -s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 13. Let p(s) = s**2 + 13*s + 1. Let b be p(u). Let d be 17 + b + 0\/(-8). Solve -5*c = 2*y - d, 5*y + 0*c = 5*c + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 186, 274, 358, 438, 514?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 42 - 72 = 45*q - 5*l + 75, -3*q + l - 18 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1632457\/768 - 6376\/3. What is the common denominator of k and 9\/128?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-888)\/(-48) - 45\/(-18). Let f be (0 + -18)*(2 + -3). Let z = w - f. Calculate the highest common factor of 24 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - r**2 - 19*r - 3 + 2*r**4 + 17*r to the form v + q*r**3 + p*r**2 + i*r**4 + a*r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j. Let u be w(2). Let z be u\/10 + 2\/20. Let t(i) = -i**3 - 5*i**2 + 7*i + 2. Let o be t(-6). What is the biggest value in 2, z, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 55*y**2 + 72*y - 898. Let q be j(56). Which is the second smallest value? (a) 5 (b) q (c) 2.983\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 5*a**2 - 6*a + 1. Let o = -42 + 48. What is u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 + 2*m + 1. Let s be q(-1). Let y(n) = n**3 - 5*n**2 + 6*n - 5. Is y(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x + 10 - x**2 - 5 + 5. Let f be s(-12). Let h(r) = 6*r + f*r - 5*r. Let i(w) = -2*w**2. Give i(h(l)).\nAnswer: -242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23*a**3 - 83*a**2 + 8*a. Suppose f = -5*g - 44, f - 36 = 4*g + 2*f. Let x(l) = 15*l**3 + 55*l**2 - 5*l. Let q(h) = g*x(h) - 5*y(h). Factor q(m).\nAnswer: -5*m**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 6. Let m be 3 - (0 - (-2)\/(-2)). Let g be s(m). Let u be (-2 + 4 - g)\/2. Let q(p) = -p**3 - 5. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -50. Which is smaller: b or 2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hymzxho. Give prob of sequence oxy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-635)\/35 + 2\/14. Let r = -13 - w. Solve -n + r*n = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -1477, -3273, -5787, -9019, -12969?\nAnswer: -17637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) 1 (d) 4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 12.01 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113868784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -373*y**7\/21 - 333*y**4\/4 + 1597*y. What is the third derivative of l(j) wrt j?\nAnswer: -44760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*l**2*z**3 + 2*l**2*z + 1818*l*z**6 - 3125*z**2 wrt z.\nAnswer: 96*l**2 + 218160*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 4 + 2*y**3 - 5*y**3)*(10*y - 4*y**2 - 10*y).\nAnswer: 12*y**5 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(32472\/(-2919)) - (12 - 11)*84\/77.\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 1 + 1\/2*q**4 + 0*q + q**3 + 0*q**2. What is the third derivative of v(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-65)\/(-7) - (-1)\/7*-2. Suppose -j - 14 = -3*n + w, -7 = -n + w. Solve -n - 12 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/185, 3\/5, -2, -2157 in increasing order.\nAnswer: -2157, -2, -1\/185, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/(-90)*4 + (-15)\/135. Let t = -11\/5 - i. Suppose -4\/5*h**4 + 0*h**2 + 0*h + 0 - 2\/5*h**5 - t*h**3 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6031733184751 and 0.098?\nAnswer: 6031733184751.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 8. Let k(c) = -3*c - 13. Let g(s) = -5*s - 20. Let r(d) = -5*g(d) + 8*k(d). Let o be r(4). Solve v = -z - o*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*z - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8. Suppose -62*y = -69*y + 91. Suppose -15*r - y - 2 = 0. Put 0, r, j, 4 in ascending order.\nAnswer: r, 0, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from naan?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1703 + -4873. Let c = f + 4741. List the prime factors of c.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (100\/(-6))\/(132\/(-198)). Let h be (-5)\/2*(-15)\/k. Which is the closest to -1.2? (a) -0.4 (b) h (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -897, -2889, -6213, -10869, -16857, -24177?\nAnswer: -32829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:17 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8) - 3165\/(-6). Let u = i - 798. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435\/29*2\/150.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 - 46\/92?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 276 = -3*a, a - 42 = 5*c + 30. Suppose w - 2*w - 3*n + 47 = 0, 5*n = -2*w + a. Calculate the remainder when 108 is divided by w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.61 - 0.24. Let d = -2.3 - w. Round d to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -140*z + 22. Let s be u(-3). Suppose 2*g - 456 = 5*w, g + 2*w - s = -g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 1\/3, 3, 78?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 451195\/24 - 18796. What is the common denominator of -25\/84 and n?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1449*g**2 - 11*g - 2. Let b(h) = 5*h**2. Give t(b(w)).\nAnswer: 36225*w**4 - 55*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-2)\/(-1)) - 0. Suppose -3*z + 61 = -35. Let m = z - q. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -14, -3, -794, 1 in decreasing order.\nAnswer: 2, 1, -3, -4, -14, -794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 23*n + 27. Let t be p(8). Suppose t*q - 13 = 25. Solve -4*m - 15 = v, -q*v + m = -1 - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**4*j)\/j)*j)\/j*j**(-10))**(-4\/29)\/((j**(-4)\/j**3)\/(j\/(j*j*j\/(j*j\/((j\/j**(-1\/10))\/j*j))*j)*j\/(j\/((j*j*j**(-8)*j)\/j)))) assuming j is positive.\nAnswer: j**(201\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1692 and -77\/388008?\nAnswer: 18236376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y + 65*y - 440 = 0. Calculate the remainder when 82 is divided by y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let x = 2 + i. Let t be 32\/(-10) - 2\/(-10). Which is the second biggest value? (a) x (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 3572, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 32*y - 3*y + 3*y. Let m(t) = -5*t**2. Determine m(n(v)).\nAnswer: -6125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p + 5. Let u be k(-6). Solve u*o = 1 + 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -637713*n**3*z + 92*n**3 - 96*n**2 + 2 wrt z.\nAnswer: -637713*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + 0*g**5 + 2*g**5 + (2*g**3 + 4*g**3 - 4*g**3)*(18*g - 18*g - g**2).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 - (-7 + 27 - -19) - -45.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 435742919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 6497942*o**2 + 6497942*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k - 31*k = 10. Let g(j) = j**3 + 8*j**2 - j - 6. Let p be g(-8). What is the third derivative of 7*f**2 + f**4 - 5*f**4 + 3*f**p - k*f**4 wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/5 + 1598691*p\/5 - 46364562\/5.\nAnswer: 3*(p - 29)*(p + 532926)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/429 and -59\/429.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/n*n\/n**(-1\/5) assuming n is positive.\nAnswer: n**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*c = -6*x + 863*c + 40, 2*x - 121*c - 2668 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1701?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -82.2 * 5\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 99155.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888150 is divided by 92.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9932101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -16. Let y be (-6)\/27 + (-10)\/w. Let -1\/3*x**3 - 1\/3*x**2 + 1\/3*x + y = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 11:01 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937261 divided by 2?\nAnswer: -1937261\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2657*d*m*z**3 + 17902*d*m*z**2 + 4*m*z**5 + 3*m*z**2 wrt z.\nAnswer: 15942*d*m + 240*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 5, d: 10, h: 1, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143959473 divided by -2285071.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 56*n**2 + 446*n + 12362. Calculate y(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-3) - -5)*2\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 4, 217, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 8. Suppose 8 - 37 = -5*p - 2*y, -4*y = p - 13. Suppose v = -3*r + p + 7. Calculate the remainder when 5 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*n + 0*n = 246400. What is the remainder when n is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30060000 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*a + 5. Let o = -111.1 - -111.1. Sort 0.2, a, o.\nAnswer: o, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) - (-4)\/6. Let i(z) = 12*z**3 + z**2. Let k = 1 - -36. Calculate the remainder when k is divided by i(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) - 2*sqrt(768))\/(sqrt(192)\/sqrt(6)))\/((-3*sqrt(200) - sqrt(200)) + sqrt(8) + sqrt(8) + sqrt(8) + (sqrt(72)*3)\/sqrt(9)).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3083769.\nAnswer: 3, 13, 26357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15)*v\/((v\/v**(-1\/11))\/v)*(v\/(v*v**(-1)\/v))\/v**(-4\/5))**(26\/7) assuming v is positive.\nAnswer: v**(16484\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + 35 + -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 4*j - 3. Calculate the remainder when 1597 is divided by o(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 782*17\/(-952) - -14?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5 - 13524*i**4\/5 + 272552*i**3\/5 - 1095828*i**2\/5 - 2316978*i\/5 - 935064\/5 = 0.\nAnswer: -1, -3\/5, 9, 13, 1332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m - j + 3, j + 4 = -5*m. Suppose 12 = 3*w - m. Suppose -4*d - 2 = -k - 2*d, -4*k + 56 = w*d. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32942 + -12?\nAnswer: 32930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 553328? (a) -1\/4 (b) 0.3 (c) -4 (d) 1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(114)\/sqrt(24) + -1 + 2.\nAnswer: sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2058) + -2*sqrt(2058) - sqrt(42))*1)\/((sqrt(750)*2)\/sqrt(5))*2.\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 5. Let r be y\/(((-2)\/1)\/2). Solve r*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432223 + 3?\nAnswer: 432231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250716, -1002946, -2256752, -4012206, -6269380, -9028346, -12289176, -16051942?\nAnswer: -20316716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 1 q when three letters picked without replacement from {z: 2, q: 6, a: 3, d: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*n**2 + 99*n**2 + 3*n - 3*n to the form f + c*n**2 + b*n and give c.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5907484 is divided by 419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqku when four letters picked without replacement from okguqhu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 49, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**15\/(k**(-24)\/k) assuming k is positive.\nAnswer: k**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 9:50 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*c + 60 = 0, -2*c - 42 + 80 = 2*d. Let m = -355 + 537. What is the greatest common factor of m and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppdpdppppd. What is prob of picking 3 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252111063?\nAnswer: 3, 4889, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37332421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 1078?\nAnswer: -107c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**3 + 23*g**2 - 22*g. Let s(d) = 15*d**3 - 48*d**2 + 45*d. Let t(f) = -9*h(f) - 4*s(f). Find l such that t(l) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 52 - 10 = 0. Suppose n + 140 = 7*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*z - 5*z - 29 = 0, 5*z - 11 = u. Let t be 23246*(u\/(-8) - (-3)\/4). Let f = t - -25331. Round f to the nearest 1000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2 - 1)*-2. Let c = -88 + 152. Suppose -t*s + c = 4. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 0.2 (c) 3 (d) -4280 (e) 17\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {n: 1, i: 3, a: 1, v: 1, q: 1, j: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -137 + (-6470 - -6627)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l**(1\/3))\/l)**(-10\/3))**(-12))**(-4))**(43\/2) assuming l is positive.\nAnswer: l**(-3440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493281475?\nAnswer: 5, 101, 195359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567 + 4904 + 27829 = 1201*b - 24281 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809740?\nAnswer: 2, 5, 40487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -915819 divided by -3\nAnswer: 305273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 + 0*x**3 + 0*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/9, -0.4, 10, 4\/19, 1 in ascending order.\nAnswer: -0.4, 4\/19, 2\/9, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -7)*-7 + 31. Solve -6*d - s = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18757, 74486, 167359, 297370, 464513?\n\"Answer: -x**3 + 18578*x**2 + 2*x + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fssggososgffsss. Give prob of sequence gf.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/28 - 423\/(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*j + 1778, 8*j = 4*j + d + 3542. List the prime factors of j.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.017050433 times -4\nAnswer: 0.068201732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -5, 3\/2, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 287, 2342, 7913, 18758, 36635, 63302, 100517, 150038?\n\"Answer: 293*i**3 + 4*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2782 + 2782 - 3541*k**2.\nAnswer: -3541*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031 (base 4) in base 5?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*q + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 12*x + 26. Let g be r(14). Let z be (-57)\/12 + (-1)\/(-8)*g. Let k(d) = -d**3 - 5*d**2 - 5*d - 7. What is the tens digit of k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5 + 2 + d**4 + 2 + 1212*d**3 + 6 to g*d + h*d**3 + y*d**4 + r + f*d**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 0. Let q = 3.52 + 0.48. What is the nearest to -0.05 in q, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/5*20\/(-8). Let g = -6 + o. What is the remainder when (0 - -33) + -1 - -1 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464528?\nAnswer: 2, 3, 13, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 2 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + l - 2 + (-4*l + 5*l + 0*l)*(-1 - 3 + 3) + 5*l - 3*l + 0*l)*(-1 - 4*l**2 + l**2 + l**2).\nAnswer: -4*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13459434.\nAnswer: 2, 3, 59, 193, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15 - 708*v**5 + 3*v**2 + 318*v**5 + 2*v**6 + 322*v**5 wrt v?\nAnswer: 240*v**3 - 4080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 1\/6, -0.3, 0.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5 = -7*x, -3*w - 1 = -4*w + 5*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.246 and 170.\nAnswer: 169.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, 0.121, 0.2 in descending order.\nAnswer: 5\/8, 0.2, 0.121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12350 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010115507 rounded to 6 decimal places?\nAnswer: 0.010116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 202329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218872821 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/4)))**(-3))**(-45) assuming h is positive.\nAnswer: h**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*n - 18, 2*y + n = -21 + 54. Suppose -3*c + y = c. What is the highest common divisor of 10 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/5 (b) 7\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1917*m**3 + 1871*m - 11. Let v(i) = -1920*i**3 + 1872*i - 10. Let n(a) = -10*h(a) + 11*v(a). What is the second derivative of n(b) wrt b?\nAnswer: -11700*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 0*q)*(70*q - 23*q + 41*q)*(-10*q + 9*q - q).\nAnswer: 176*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 - 6*r + 1. Let q(u) = -u**2 + 13*u + 199. What is the remainder when h(-7) is divided by q(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1996046 and 455?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/(40\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 61 = -29. Sort q, 1, 0.\nAnswer: q, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let k(s) = 21*s - 14. Let b(d) = 14*f(d) - k(d). Let a(x) be the second derivative of 11*x**4\/6 + 420*x. What is a(b(p))?\nAnswer: 1078*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 246*q. Let i(g) = 7*g - 48. Calculate i(r(h)).\nAnswer: 1722*h - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6, 4*t - 4*w - 110 = 98. What is the remainder when 149 is divided by t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 + 7*f**2\/2 - 8*f + 1. Let m be a(-8). Suppose -3\/4*v**4 + 0*v**3 - 3\/4 + m*v + 3\/2*v**2 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.6597 kilometers to nanometers.\nAnswer: 616659700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170241545?\nAnswer: 5, 61, 223, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**6\/6 - j**5\/5 + j**4\/4 + j**3\/3 - 9. Factor r(d).\nAnswer: -d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4230233103 (base 5) to base 14\nAnswer: 12604d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 24 = 5*q, 2*q - 4*q = -f + 3. Suppose -4*j = -2*m + 16, 8 = 4*m - 0. Let i = -5 - j. Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27116*y**3 - 12*y**2 + 72*y + 8 wrt y?\nAnswer: 162696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 2937312.\nAnswer: 14686560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2 - 50*k + 236. Let j be u(4). Which is smaller: j or 657\/5?\nAnswer: 657\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.016 + -29.016. Let m = -28.92 - g. Round m to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 2:40 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + s + 3)*(-3*s + 5*s - s)*(s**2 - 42 + 41 + 2*s**2) in the form t*s**2 + w + z*s**3 + n*s**4 + d*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2 - 4 - 1 - 109*d + 119*d. Is m(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 903180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 5378*p\/9 + 992240\/3.\nAnswer: -2*(p - 471)*(p + 3160)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 4*h - 4. Suppose -3553 = -4*k - 13*k. Let b = -214 + k. Determine v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x - 159*x**3 - 962*x**3 + 9*x - 11*x + 21*x.\nAnswer: -1121*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -43, -125, -251, -427, -659, -953, -1315?\n\"Answer: -u**3 - 13*u**2 + 2*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 - (1 + 1 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244270 and 19346184.\nAnswer: 96730920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v**4\/5 + 788*v**3\/5 - 2044*v**2\/5 + 1772*v\/5 - 504\/5 = 0 for v.\nAnswer: 2\/3, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -1039. Let j = d - -16315\/16. Let c = -916 + 12839\/14. What is the common denominator of j and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*s - 201 = -93. Let v(q) = -q + 1. Let x(f) = -19*f + 5. Determine s*x(u) + 6*v(u).\nAnswer: 13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 24 = 5*j - 3*u, -20 = -4*u. Suppose 2*h + 2 = -0. Sort h, 4, -5, j in decreasing order.\nAnswer: 4, h, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2226996?\nAnswer: 2, 3, 61861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20917797, 41835638, 62753469, 83671284, 104589077, 125506842, 146424573?\n\"Answer: -q**3 + q**2 + 20917845*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -305 in -1, 10, 9, 5, 32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 19 + (-13 + 6 - -4 - 31).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -g, 64 = 106297*a - 106296*a - 13*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.214 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wldnnlnlldi. Give prob of sequence nill.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 4*t + 2*x, 17 = -4*t + x. Let m be 14\/(4 - (3 - t)). Let w be 6 + (m - -3)\/(-2). Solve 0 = -3*o - o + w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(36\/96). Let v(h) = 12 - 11*h - h**3 + 6*h + 9*h**2 + t*h. Let j be v(9). Solve 0*y - j*y = -5*b - 22, -y + 8 = -2*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/8)*x)\/(x\/((x*x**(-2\/7)\/x*x)\/x)))**(2\/83) assuming x is positive.\nAnswer: x**(5\/2324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -1 - -7 - (-2 + -8)) + 17.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/36)\/(8\/((-504)\/35))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (5 - (9 + -4)))\/19\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.2. Let f be (7*4\/28)\/((-2)\/(-6)). Which is the third smallest value? (a) f (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 1 - 1)*(-42 + 42 + 8*i**2).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*b - 20 - 2930 = -128 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5955*b**2 + 159. Let y(p) = 2*p. What is z(y(k))?\nAnswer: 23820*k**2 + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 31 = 35 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-10\/13)\/z)\/z**(2\/59))\/(z**(-17)\/z**(5\/11)))**(2\/99) assuming z is positive.\nAnswer: z**(88034\/278421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*p = -451*p + 450 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 209*n**4 + n**3 - 18*n**2 + 4 wrt n?\nAnswer: 5016*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -85*f**2 + 2*f - 46. Let v(l) = 340*l**2 - 9*l + 183. Let u(x) = 9*t(x) + 2*v(x). What is the derivative of u(o) wrt o?\nAnswer: -170*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -51. Suppose -3*g - 2 = -x*c - 8, -5*c + g = 2. Suppose 6*h - 753 + 93 = c. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3065.57181 minutes to weeks.\nAnswer: 0.3041241875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2530 or 78396\/31?\nAnswer: 2530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 11:00 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9701.075m in nanometers?\nAnswer: 9701075000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 - 2.6. Let r = -0.36 + 0.26. Which is the closest to r? (a) 0.1 (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 5*h + 5*h + (-2*h + 0 + 0)*(1 - 1 + 2) - 2*h + 5*h - 5*h + 11 - 16 + 9*h - 3*h - 20 - 29.\nAnswer: -h - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61007*k - 1352 - 380 = 61500*k + 240 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1146 and 4011.\nAnswer: 8022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/98297 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/14? (a) -5 (b) 8 (c) 0.5 (d) -2 (e) -1221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028865 to four dps.\nAnswer: 0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*v - 148768, -3*p + 0*p - 15 = 0. Let w = 71111 - v. Suppose -191914 + w = -g. Round g to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 75*l + 78*l - 14 - 134 to the form h*l**2 + w + j*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -6446, 1\/39, 3\/7?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 69.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 + -187.41. Let r = a + 2.41. Sort r, -3, -1\/5.\nAnswer: -3, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (1 + sqrt(2299))**2 - -3*sqrt(38)\/sqrt(2))*-5.\nAnswer: 40*sqrt(19) + 11500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - sqrt(95)*-2*2 - sqrt(95))\/(sqrt(15)\/sqrt(192)) + (2*sqrt(228)*4)\/(sqrt(12) + (sqrt(60)*1)\/sqrt(5) + sqrt(12) - sqrt(12)) + 4.\nAnswer: 4 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*z + 4*c, -5*c + 7*c + 5 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74.045 + -0.045. Let x = i - 83.5. Round x to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*a**3 - 11734*a**2 - a + 5900851.\nAnswer: -213*a**2 - 23468*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1100\/7 or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s**2 + 29*s**2 + 56*s**2 + 22*s**2 - 237*s**2 + 43*s**2.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 4*s, 2*s - 2 = 3*m - 12. Calculate the highest common factor of 750 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 19*i**2 + 39*i + 63. Let j be m(21). Suppose 2*v + 2*z = 3187 - 521, 3*v + z - 4009 = j. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-48)\/(-30)) + 3)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*((-8)\/6 + 2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 223\/9. Put k, -0.3, -1, 0 in increasing order.\nAnswer: -1, -0.3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -670*i + i**2 + 217 + 84 + 670*i as z*i**2 + p*i + k and give k.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/23*-1*(-15)\/(-18)*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 12*l + 12. What is x(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let y(b) = 40*b. Calculate -50*n(k) + y(k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221 - -21200?\nAnswer: 121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/(-6)*39\/104 and 2\/(-3)*(-405)\/80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -179, -274, -371, -470?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.43 + 387.57. Let w = h - 396.9999574. Round w to 6 dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 - c**2 - 21*c**3 + 4 - 7*c**2 - 7*c**2 - 2*c + 7*c**3 to the form n*c + b*c**3 + r*c**2 + h and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -38. What is the lowest common multiple of k and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 6*c - 7. Let s = 45 - 40. Let k be q(s). Suppose -24*j + 128 - 800 = 0. Is j greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 29 = -3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2406, 4815, 7224, 9633, 12042?\nAnswer: 14451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 + 86\/18. Let q = -3 + d. Find the first derivative of 36 + 3*u**2 - 34 + u**q wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 538835445 and 538835445 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2837303.1ns to days.\nAnswer: 0.00000003283915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 84825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 1, e: 1, a: 1}. Give prob of picking 1 u and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -244. Let i = 275 - h. Suppose 4*g - q - i = 0, 2*g - 3*g + 24 = -q. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 13*k**2 + 6*k + 17. Let q be z(7). Factor -4*d + 4*d**2 - 11*d - q - 9*d**2.\nAnswer: -5*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 47*g**2 - 29*g + 187. Is p(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - 2) + 13 - 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628959569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*q + 13*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -147*x**2 + 7*x + 5. Determine d(-1).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = -2*v - 29*q - 23, v - q + 7 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -290? (a) -0.201 (b) -1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 10\/(-75) - 1\/(-5). Let f = 13 + -7. Let y = f + -3. Sort j, 1\/9, y in descending order.\nAnswer: y, j, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -12, u + 3 = -n + 22. Let v(m) be the first derivative of -m**3\/3 + 7*m**2 + 43*m - 55. Is 4 a factor of v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489744 and 304.\nAnswer: 489744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) -2\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 19*g + 28. What is n(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8023.1 + -148618.1. Let n = -140596.54063 - b. Let m = n + 1.54. What is m rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 312 - 308, -3*f + 5*j + 19 = 0. Let d(l) be the second derivative of 8 + 3*l**2 + 4\/3*l**f + 1\/6*l**4 - 2*l. Factor d(h).\nAnswer: 2*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.86 - 0.7\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r**3 + 7417485*r**2 - 2*r - 5196874?\nAnswer: -24*r + 14834970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5\/4 - 75*i**4\/4 - 745*i**3\/4 - 585*i**2\/4 + 185*i + 165 = 0 for i.\nAnswer: -6, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -100?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 105665029811 from 0.1.\nAnswer: -105665029810.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 179*v - 176*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.7 + -19.2. Sort 3, n, 5\/2, -0.4 in ascending order.\nAnswer: n, -0.4, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(11\/2 + -5). Solve 2*t = 2*p, 3*t = 3*p - c*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((11 + (2 - 1) - (-217 - -201)) + 11).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/19, 13.3, 16, -4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13622 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-3))\/1*(-12)\/264.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467787 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*(l\/(l**(-2\/15)\/l)*l)\/l)\/(l**(2\/7))**(-5\/3)*(l**(-2\/7))**(4\/35)*l**(-3\/5)*l\/(l*((l\/l**(-4))\/l)\/l) assuming l is positive.\nAnswer: l**(-2222\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -61, -40, -17, 8, 35?\n\"Answer: k**2 + 18*k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 7*x**2 + 2*x + 9. Let m be j(-7). Which is smaller: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/4, 3, -1\/5, -263 in decreasing order.\nAnswer: 3, 2\/5, -1\/5, -1\/4, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/815 + -157291\/3260. Sort 1\/3, d, -7.\nAnswer: d, -7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -5004455925?\nAnswer: -5004455924.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2595, -2679, -2945, -3483, -4383?\nAnswer: -5735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 6}. What is prob of picking 1 j and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255610?\nAnswer: 2, 5, 25561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 66*l + 10. Let b(z) = 20*z + 4. Let u(w) = 10*b(w) - 3*o(w). Determine u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmqmqq. What is prob of picking 2 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13552 + 298253\/22. Let g = 13388 + -214307\/16. Find the common denominator of u and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x - 1. Let c be u(6). Suppose c*s - 3 = -13. Sort -1, -6, s in increasing order.\nAnswer: -6, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 5*y**4\/24 + 61*y**2. Let k(n) be the first derivative of -9*n**2 + 20. What is p(k(b))?\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 0)*(2*d - d - 2*d)*(-21 + 19 + 13) to u + t*d and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247914 + 247886 + 11*o - 31*o.\nAnswer: -20*o - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/36*9\/6. Which is the nearest to -4? (a) r (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 1:47 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018846 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 563 = -515. Suppose 0 = 3*z - v, 31*g - 28*g - 8889 = -3*z. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 + 9 = -3*r, 0 = -3*n - 2*r - 4. Suppose -3*y + 2*p + 10 = -2*p, -4*y + 28 = n*p. Solve -4*o - 4 = -y*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 + 5 - 14*o**2 + 44*o**2 - 3*o**2 as p*o**2 + d*o + j and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6223 not equal to 11061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {j: 1, q: 3, a: 1, m: 6, e: 6, g: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2889 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639 is divided by 405.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8671558.000034 - 8671550. Let g = -8 + w. What is g rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2144776 divided by -536194\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20123332321 - 11?\nAnswer: -20123332332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + 4*j + 19. Let v(c) = -7*c**2 + 5*c + 25. Let s(p) = 4*i(p) - 3*v(p). Let d(o) = -16*o**2 + 4*o + 4. Determine d(z) - 4*s(z).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:35 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 5931*s**3 + 2*s - 2970*s**3 - 2965*s**3.\nAnswer: -4*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.89441753 - -338635043.10558247. Let f = 338635057.90000113 - t. Let y = -9.9 + f. Round y to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 15 - 6 = k, -6 = 5*y - 3*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5000 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y = -16, -5*t + 3*y = 82. Let f(s) = -23*s**3 + s**2. Let g be f(1). Let d = t - g. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12973.9371 times -3\nAnswer: -38921.8113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, i: 5}. Give prob of picking 3 x.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 9:11 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + -200. Let u = 395 - n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f - 27. Let j be g(-9). Suppose 15*p = 18*p - j. Solve x - p = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23984 rounded to one dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3 + 1. Let r(f) = -f**2 + 7*f - 10. Let i be r(5). Suppose -l + p = i, 0 = -6*v + 3*v - l + 17. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/61 or 1?\nAnswer: -16\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a**2 - 72*a**2 - 74*a**2.\nAnswer: -178*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (11\/165*-6)\/(1\/(-65)*2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -1\/23 (c) 3\/7 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 22, -4\/3, 3\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4298841 - -6198851. Let n = j - 1899991.000088. Let y = 19 - n. Round y to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q + 91. Let j be r(8). Solve -22 = 3*n - 2*t, 2*n - n = 3*t - j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h**(3\/5)\/h)\/h*h*(h\/h**5)\/h*h*h*h*(h\/(h*h**(-2\/23)\/h)*h)\/h*h*((h\/((h*h**1*h)\/h))\/h)\/h assuming h is positive.\nAnswer: h**(-266\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*q*u*y + 1211*q*u wrt y.\nAnswer: -314*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 340 + -321. Suppose -6*h + 2*h = -444. Calculate the remainder when h is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by 17821.\nAnswer: -261\/17821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**3\/6 - o**2\/2 + 3*o. Let r be k(3). Is r < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -8. Let j be (-70)\/(-8)*(a - 1)\/20. Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212261*v**3 - 1471708*v + 1.\nAnswer: -1273566*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010027127 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 17*s**3 - 2*s**2. Suppose -4*j + i + 5 = -0*i, -i = 2*j - 1. Calculate the remainder when 71 is divided by f(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3562*k + 35103. Determine r(-10).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11436*l*r**2 - 8*l + 17*r**2 - 4*r + 322 wrt r?\nAnswer: -22872*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 54 + 56 - 220 + 310*a + 53.\nAnswer: 310*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/9 (b) -0.1 (c) -0.339 (d) -2\/667\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 149 - -142966a?\nAnswer: 1429808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33 less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5+-26556\nAnswer: -26561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -27 + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 6. Suppose 5*r - o = 8 + g, 0 = -3*r + 2*o + 8. Suppose r*h + 6 = 0, 3*c - 15 = -4*h - 3. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6)\/(1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249798 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:10 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 2\/25 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558920 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 9.5384701.\nAnswer: 1.90769402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-16)\/4 - 225\/(-9). Let c be (6 - -4)*12\/i. Solve 16 = 10*l - c*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 - 10504*k - 1414640. What is q(-127)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = -172 + 217 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 3\/11*b**4 - 1\/11*b**3 - 4\/11 - 12\/11*b + 1\/11*b**5.\nAnswer: (b - 2)*(b + 1)**3*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 3. Let a be (-5 - -9) + 2*-1. Suppose 0 = x - a + 1. Let g(o) = -o + 1. Let m be g(0). Let k(w) = w + 1. Calculate m*r(f) + x*k(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*a - 97*a**2 - 96*a**2 + 191*a**2 to the form u*a**2 + d*a + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 21*q**2 + 3*q + 8. Let n(t) = -2*t**2 + 6*t + 6. Suppose 5 = 3*w - 7. Let d be n(w). What is the tens digit of y(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4472412917 to the nearest integer?\nAnswer: 66876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 2. Let y(p) = 4 - 4 + 4 - 3. Calculate a(f) - 2*y(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, 6\/7, -9.7, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4304.8395920112 - -2.\nAnswer: -4302.8395920112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/7 + 6*f**3\/7 - 2*f**2\/7 - 6*f\/7 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(1*2*sqrt(8)) + (sqrt(19) + (-1 + sqrt(2299) - sqrt(2299))**2 - (sqrt(76) + (sqrt(76) + -2*sqrt(76) - sqrt(76)))\/sqrt(4)).\nAnswer: 1 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/15 - 4*s**4\/15 + 34*s**3\/5 - 72*s**2\/5 = 0.\nAnswer: -9, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n\/(n\/(n*n*(n*n*n**(-2)*n)\/n))*n*n**7*((n*n**(-1\/5)*n*n)\/n)**(-6\/13) assuming n is positive.\nAnswer: n**(726\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 2*w**3 - 4*w**3 + (-3*w**3 + 3*w**3 + 2*w**3)*(-5 + 10 - 2)*(-2 - 1 + 4).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-2508)*19)\/(3\/68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*i**2 + 585*i + 360.\nAnswer: -5*(i - 24)*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19666264 to the power of 1\/2, to the nearest integer?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 96*w**2 + 195*w - 143650.\nAnswer: -(w - 65)**2*(w + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**4 + 386*s**3 - 4502*s**2 + 1582*s + 6474 = 0.\nAnswer: -1, 3\/2, 13, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5206851689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*c + 2*c**3 + 10*c + 2*c**3 + 3*c - 3*c + (-10*c + 22*c + 3*c)*(-2*c**2 + 0*c**2 + 0*c**2).\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2093 + -0.1093. What is the nearest to -1\/4 in 3, h, 3\/5, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-24)*a**(-5\/2) assuming a is positive.\nAnswer: a**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -4. What is the third smallest value in 0.4, d, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let u be g(-3). Let n be 2 - u - 195\/(-5). What is the third derivative of -36*i**2 - 2*i**6 - i**5 + n*i**2 + i**5 wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5818\/9 - 646. Which is the biggest value? (a) 3 (b) 1.8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 5 = 2*u + v, -15 = -3*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g**4 - 1490*g**3 - 2580*g**2 + 5570*g - 1515 = 0 for g.\nAnswer: -3, 1\/3, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bc68 (base 13) to base 9.\nAnswer: -180524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 47360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*j - 583 = 99*j. Solve -10 = -j*b + 55*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**7\/126 - 2*n**6\/9 - 3*n**5\/2 - 35*n**4\/9 - 95*n**3\/18 - 4*n**2 + n - 41. Factor d(z).\nAnswer: (z - 24)*(z + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.389 - 319.389. Let t = s + 319.00000127. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5565845, -22263400, -50092667, -89053652, -139146361?\n\"Answer: -c**3 - 5565850*c**2 + 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04638 - -276697.41.\nAnswer: 276697.36362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2950 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -247 - -398. Suppose 5*k - 2*d = 809, 3*d + d + a = k. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-6 - (5 - 9) - (1 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let r(i) = -648811*i**2. Calculate m(r(b)).\nAnswer: 648811*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 8. Let s be j(5). Sort -4, 0, s.\nAnswer: -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82892726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 140*i**2 - 146*i + 3016. What are the prime factors of w(18)?\nAnswer: 2, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 4, k: 3}. Give prob of sequence vq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23713133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14518336 by -22544.\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 854*r**3 + 3*r**2 + 25*r - 47. Is g(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 212.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, a: 14}. Give prob of picking 1 h and 2 a.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 0.07, 18, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3\/t*t**(-5)*t*t*(t\/((t\/t**(-1))\/t))**(-11) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcl when three letters picked without replacement from {l: 4, o: 6, c: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3778290.8651725 - -3778275. Let c = 28.865158 + n. Let u = 13 - c. What is u rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a67596 (base 13) to base 6\nAnswer: 511020512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/120 + f**5\/20 + f**4\/12 - 10*f**3\/3 + f**2 - 754. What is k(5)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/5 of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**28*z**(-23) assuming z is positive.\nAnswer: z**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-120))\/(-1*-1*15\/24).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -49\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l - 5*x - 8 = -42*l + 5*x, -8*x - 46 = 5*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136073 (base 8) to base 2.\nAnswer: 1011110000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.08842? (a) -15.6 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 1. Let i be (3\/(-2))\/(3\/4). Let h be (2 - (-2)\/i) + 1. Suppose -5*w + h*w - 3 = 0. Give u(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222335.\nAnswer: 3, 5, 23, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273\/4*i**3 + 2115\/4*i**2 + 0 - 675\/4*i + 9\/4*i**4 = 0.\nAnswer: 0, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6*x = 3*x + 92, 2*x + 72 = 5*h. Suppose -21 = 5*s - h. Let l(i) = -i**3 - 2*i**2 + 3*i - 3. Let p be l(-3). Put s, 0, p in increasing order.\nAnswer: p, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1996*d**3 + 5*d**2 + 15*d + 12. Let j be c(12). Suppose 3*l + 2*l + j = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -32 - 3 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 201626.1ml?\nAnswer: 201.6261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 48. Calculate the remainder when 42 is divided by j(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -16470*a + 16471*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 944 = -978. Let k(u) = 2*u**3 - 5*u**2 + 6*u - 6. Calculate the remainder when k(4) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:45 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {n: 1, f: 1, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 4*g - 8. Let m be r(-6). Suppose 0 = -3*c + m*c + 30. What is the units digit of (-24)\/(-18)*c\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 5*y - 5*y)*(4 + 58*y - 63*y - 7).\nAnswer: 5*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzh when three letters picked without replacement from {s: 3, q: 3, w: 2, y: 1, h: 9, z: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28\/1865, -0.5, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let s(z) = 6 - 10 + 1 - 3*z**2. Let b be -1 - 1\/(1\/2). Let r(i) = 1. Let p(d) = b*r(d) - s(d). Calculate x(p(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -9*f**4\/16 + 65*f**3\/4 - 1023*f**2\/8 - 363*f\/4 + 152. Factor k(i).\nAnswer: -3*(i - 11)**2*(3*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/1 + (-13 - -10). Let q = t - 49. Suppose 4*g + q = 5*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 25.68.\nAnswer: -51.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/((k\/(k**(-4)*k))\/k*k))))**(25\/2))**(-2\/11) assuming k is positive.\nAnswer: k**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 115*k - 260. Give a(13).\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*t + 420381 = 9679, 3*t + 1026717 = 5*f. Suppose -f = -7*q - 52846. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t + 10. Let h be 3\/t*4\/6. Let x(k) be the second derivative of -k**5\/20 + k**3\/6 + k**2\/2 - 4*k. Determine x(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12*v - 144. Let y be u(15). What is the greatest common factor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 16. Let h be w(4). Suppose 0 = -x - 2 + h. Find the third derivative of s**6 - 2*s**6 + 66*s**x - 59*s**2 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-91))\/((-60)\/1008)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -16 (b) 0.4 (c) -2\/5 (d) 0.02 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691059?\nAnswer: 3, 230353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i**2 + 2*i**2)*(5*i**2 - i**2 - 3*i**2 + (i - 2*i + 0*i)*(0 + 2*i + 0) - 3*i**2 + 6*i**2 + i**2).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**3\/6 + 7*x**2 - 4*x. Let l be t(12). Let y(q) = -401*q**3 + 5*q**l - 2*q - 7 + 0*q + 402*q**3. Calculate y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 9:23 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4, 0.1, 3, -4, 5.21, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32115116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 36*f**5 - 98280*f**4 + 196316*f**3 + 272776*f**2 + 65472*f = 0.\nAnswer: -2\/3, -1\/3, 0, 3, 2728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b. Solve 5*t + 5 + 20 = b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -345, -333, -335, -357, -405?\n\"Answer: -n**3 - n**2 + 22*n - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -27. Let w be 3*(-4 + r) - 3. Suppose 70 = 2*x - w*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1809 and 58266.\nAnswer: -105403194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*c + 29*c**3 + 39*c - 22*c**3 - 29*c + c**2 wrt c?\nAnswer: 42*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 4. What is h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60904 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**3 - p**3 + 2*p**3)*(-45 + 1 - 30) in the form k + l*p**3 + g*p**2 + u*p and give l.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4793 - 43135\/9. Let w(p) = -p**3 + 5*p**2 - 4. Let c be w(4). Put t, -1\/5, c in ascending order.\nAnswer: -1\/5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 + -2)\/(-28))\/(14*6\/84).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -36\/485 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 + 1. Let s be o(1). Let q be 3\/7 - (-225)\/63. Suppose -2*a + q*a = -5*l - 30, -3*a = -5*l - 5. Sort s, a, 5 in decreasing order.\nAnswer: 5, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 6. Let k be d(5). Let p = k - 16. Is -5 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**5 + 82*c**3 - 2838*c.\nAnswer: -60*c**3 + 492*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194 and 568517?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2 + (-27 - -18) + (7 - -24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:55 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 128*l + 7. Calculate r(-64).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**8\/42 - n**4\/3 - 6*n**2. Find 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 j = 1185 + -685. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -54 - -2 - (6 - -24 - 20)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, 1\/2, -5\/656, 0.076, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + (-4 - (-16 + 17))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z + 2135216 - 2135214 - 7*z.\nAnswer: -30*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 3*j + 3. Let b = -22 + 42. Let k = b - 23. Let p be l(k). Solve -p*z = 5 - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.008095.\nAnswer: -0.03238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*t. Suppose -n + 3*b = -2*n + 118, t*n - 358 = -5*b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -154\/15 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 49*v**2 - 6*v - 154. Let p be o(-49). What is the highest common divisor of p and 1560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-476))\/((-18)\/48)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -43*b**2 - 16*b - 23. Let s(r) = 11*r**2 + 4*r + 6. Calculate -2*k(d) - 9*s(d).\nAnswer: -13*d**2 - 4*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 63 = o. Suppose -2*c + 16 = 5*a - 1, -3*a + o = 3*c. Calculate the remainder when 63 is divided by 84\/8*8\/c + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -30. Suppose -w - d = -4*w. Suppose -3*j - 60085824 + 6685844 = w*s, 4*s = 4*j + 71200020. What is j rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2088301*r**4 - 574393*r.\nAnswer: 25059612*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -114*v - 658. Is y(-27) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/12, 2\/11, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:40 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -410, -639, -870, -1103?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.988556 years to months.\nAnswer: 11.862672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 506019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4325367t to nanograms.\nAnswer: 432536700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (6 + -2) - (11 + -27)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17407104 by -10461.\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -62. Let x(w) = w**3 + 2*w**2 - 9*w - 3. Let p be x(s). Solve -p = -13*i + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*l + 8, 6*l = 2*f + l - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 17 - 47. Let v(d) = 7*d**3 - 6*d**2 - 6*d. Let i(k) = -15*k**3 + 13*k**2 + 13*k. Give q*i(r) + 13*v(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -24. Suppose -3*j - 6*x + 2*x = 17, c = 5*j - 4*x. Suppose -5*l - 6 = -1. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.6 + 23.2. Which is the smallest value? (a) 13 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x - 14832 + 14832.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.3 (c) 1.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296148 is divided by 3703.\nAnswer: 3611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 - 2*p - 2. Determine d(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 246. Calculate the remainder when w(-19) is divided by 81.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n - 2. Give v(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b + 14. What is z(8)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1323 - 1324. Which is the smallest value? (a) x (b) 2 (c) 16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549809?\nAnswer: 3, 23, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x + 62. Let r be d(7). Solve 5*v - 5*z + r = -9, v = 5*z - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 times -164?\nAnswer: 28208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 12, 5*s - 170499988 = -0*c + 4*c. Round s to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxqy when four letters picked without replacement from {b: 2, q: 1, x: 1, s: 4, l: 2, y: 5}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131166*-0.08\nAnswer: 10493.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406667371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2120 + 2?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -254b30 (base 15) in base 12?\nAnswer: -7227b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/2 - 37*w**3\/2 + 60*w**2 - 2*w - 80 = 0.\nAnswer: -40, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a - a + a)*(-3 + 0 + 0) + 0 + 0 + 6*a)*(0 - 5 + 4)*(2*a**3 + 0 + 0).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4137, 32618, 109961, 260610, 509009, 879602?\n\"Answer: 4074*y**3 - 13*y**2 + 2*y + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 4 (c) -3 (d) 0.3 (e) 0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 + -183. Let r = t - -31. Solve -r + 0 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 158\/44*(-2)\/(-8). Let m = u + -14\/11. Find the common denominator of m and (-58)\/4*6\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:33 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/(3\/(-2772)). Let w be ((-1)\/(-3))\/((-2)\/k). Let s = 4 + w. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 37293\nAnswer: 1\/37293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1503 or -1502?\nAnswer: -1503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 398, -123 in decreasing order.\nAnswer: 398, 2, -1, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*w + 12*w = -9792. Calculate the greatest common factor of w and 1768.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6254.2 from -4434403661.\nAnswer: -4434397406.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2203*j**3 - 3*j**2 - 2202*j**3 + 0 - 4. What is g(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11820054434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 12 - (16 - (5 - 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6064012?\nAnswer: 2, 1109, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7997, -32319, -72975, -129965?\nAnswer: -203289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(153))**2 + -1)*6 + -2*(1 + sqrt(153) + 2)**2.\nAnswer: -72*sqrt(17) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 - -128. Factor 8 + 451*p**3 + 9*p**n - 4*p**4 - 455*p**3 + 20*p + 3*p**2.\nAnswer: -4*(p - 2)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9 + (-3)\/(-36)*4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 37*m - 8. What is w(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 5*k - 17, 5*l = -4*k + 40. Which is the closest to -2? (a) 0 (b) 6.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90530 and 1100.\nAnswer: 905300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 17 - 17)*(0*n**2 - 3*n**2 + 5*n**2).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 3*o + 508. What is the remainder when f(21) is divided by 2*(4 + -2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246814 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - a = z - 53, -2*z - 3*a = -110. What is the highest common factor of 49 and z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*b = -304*b + 749*b + 1239 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 2*z - 7 + 20 + 2*z - 7*z + 2*z + (4 - 2 + 1)*(0*z - 8*z + 18*z).\nAnswer: 29*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 2\/9 (c) -10.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + ((-6)\/208)\/(45\/1802). Let i = w - -8\/39. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.767 times -0.1?\nAnswer: 0.0767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(2057))**2 - (0 + sqrt(17) + -1 + sqrt(17)*-3 + sqrt(17))**2.\nAnswer: -2*sqrt(17) + 92547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503397 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13901 (base 15) to base 6\nAnswer: 1202344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -72 + 17 - 73*y - 28*y + 43*y. What is the tens digit of g(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) -0.4 (c) 15\/16 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6195, -24709, -55545, -98709, -154207, -222045, -302229?\nAnswer: -394765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83195 divided by 5.\nAnswer: -16639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11729 is divided by 151.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let z(t) = 215*t**2. Determine s(z(m)).\nAnswer: -430*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 11744*b - 8620096.\nAnswer: -4*(b - 1468)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 + 2. Let v be y(-2). Suppose 20*s + 3 = 31*s - 8. Is v\/(-10) + s + (-25142)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k + k)*(3 - 5 - 4)*(1447*k - 1357*k - 671*k + (2*k - 2*k - 2*k)*(1 + 1 - 3) - 1 + 1 - k - k + 2*k - 4*k)*(0*k + 0*k - k).\nAnswer: 3498*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + b + 81 = 0, a + 124 = 4*a - 4*b. Suppose 5*i = -g, -i = -4*g - 14 + 119. Let q = a - g. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*i + 125, p - 13 = i - 47. Is i at least as big as 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19822*p*q**4 + p*q**3 - p + q**4 - 231728*q**2 wrt q.\nAnswer: -475728*p*q + 6*p + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c - 6. What is the least common multiple of 3 and j(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**2 - 6*f**2 - 81*f**3 + 5*f**2 + 12 + 76*f**3 wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-91)*(-2408)\/24?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i**2 - i + 31 - 5*i**2 + 4*i**2. Suppose 0*x = -4*x. Is f(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95246327 rounded to 3 dps?\nAnswer: 1.952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = -3*x, 5*x - 8 = -k + 13. Suppose 0 = 4*v - x, -2*i - v = -443 - 116. Is 31 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 23*t**2 + 113*t - 46. What is i(-28)?\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Suppose d - 14 = -3*x. Differentiate -3*n**x + 10*n**4 - 8 + 0 wrt n.\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.83 - 28.93. What is the nearest to d in -4, 3, -2.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 37 = 2*s, 5*s + 161 = -19*a + 23*a. Let v be 2 - (-1)\/(1\/2). Let o = v - -2. What is the remainder when a is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 + 2*z**2 - 6*z + 6. Let u(k) be the first derivative of 15\/4*k**4 - 13*k + 5 - 4\/3*k**3 + 13\/2*k**2. Give -13*h(c) - 6*u(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + f + 6097 + 9799, -4*q + 3*f + 21193 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(1\/5)\/x))\/x)\/x)\/(x\/x**(-9\/8)))**(-29) assuming x is positive.\nAnswer: x**(3857\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-8))\/(15\/(-1120)*7)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16 and 50\/3820813.\nAnswer: 3820813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -480, 10, 1 in decreasing order.\nAnswer: 10, 1, -2, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/8 + 21*p\/4 - 9.\nAnswer: -3*(p - 12)*(p - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 570 = 4*w. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18819?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 18*w - 5*w + 2*z = -11*w - 68, -7*w + 10*z = 95 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**5 + 3*d**5 - 4*d**5 - 150*d**4 + 150*d**4 - 6*d**5 + (d - d - d**4)*(d + 4*d - d).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + r - 4706, -5*r = 4*b - 2093 - 1676. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b - 8. Let u(z) = 4*z**2 - z - 4. Does 4 divide u(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/14*112\/(-32).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-15)\/(d**(2\/45)\/d))\/(d\/(d*d**1))**(-12\/11))**(-15) assuming d is positive.\nAnswer: d**(7492\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*c = 3 - 13, -5*c = -4*w - 25. Solve w = -15*z + 21*z - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-15)*(-3)\/36\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 16. Let w(g) = 2*g**3 + 7*g**2 + 5*g. Let o be w(-3). Let r be n(o). What is the second derivative of 2*q**2 + 9*q**2 + 21*q + 0*q**r wrt q?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(-2*sqrt(833) + 3 - (3*sqrt(833)*5 - sqrt(833))))**2*3.\nAnswer: -2016*sqrt(17) + 639771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, z: 2, t: 1, m: 6, h: 2}. Give prob of picking 2 z and 1 t.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -473.888 to one dp.\nAnswer: -473.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3776, 1, 46, 2.\nAnswer: -3776, 1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g - 232. Let c be z(-39). What are the prime factors of 2 + ((-14388)\/77)\/(c\/(-7))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10492\/1376 - 10\/16. Let w(h) be the second derivative of h**5\/10 - h**4 + h**3\/2 - 2*h**2 + 2*h. What is the hundreds digit of w(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28534 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 + 2*c. Let z be d(-5). Suppose 2441 - 1781 = 10*a. Calculate the highest common factor of a and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 - 166.3. Let s = 11.7 - k. Put -2\/15, s, 3\/4 in decreasing order.\nAnswer: 3\/4, -2\/15, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 934830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 943937068 to the nearest integer?\nAnswer: 30724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367688835 and 255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22494?\nAnswer: 2, 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159239 and 1156?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13370?\nAnswer: 2, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 5. Suppose 28 = 15*n - 47. Calculate w(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**2 - 6*c**2)*(-5 + 2 + 4)*(-1 - 2 + 2)*(-4 - 2 - 2).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -1866 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/6 + 2*s**3\/3 + 3*s. Factor l(n).\nAnswer: -2*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g = -31*g + s + 753, 7*g + 4*s = 2658. What is the remainder when g is divided by ((-114)\/(-15))\/((-1)\/(-5))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 6. Let z = -0.003 + -0.187. Let x = 0.81 - z. What is the nearest to -1 in m, 32, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18054\/(-3465) - (-2)\/11. Let z = g - 382\/7. Let b = 65 + z. What is the common denominator of 8\/7 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((271 - -5)\/3 - 2) + 5. Let x(y) = -5*y + 3. Suppose -a + 12 = -l, 4*l - 6*l = 3*a - 1. Let p be x(l). Calculate the highest common divisor of p and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 24*b - 91. Let n be y(4). Find the second derivative of -55*r**5 - 30*r**n - 265*r**2 + 119*r - r**5 + 263*r**2 - 71*r**5 wrt r.\nAnswer: -3140*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0*f**4 + 1\/3*f**3 + f**2 + 0*f + 23\/15*f**6 + 2 - 89\/60*f**5. What is the third derivative of b(o) wrt o?\nAnswer: 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 14 - (27 - ((14 - 10 - 3) + -6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93\/17 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/119)\/(((-801)\/356)\/(21\/12*6)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -136. Calculate the remainder when s is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 828*t - 2511.\nAnswer: 3*(t - 3)*(t + 279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.278, 1090, 0.05, -5 in decreasing order.\nAnswer: 1090, 0.278, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436927898 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(19\/((-3135)\/6)). Solve 0 = 53*c + 49 + k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6, -2*d + 2*u + 2 = 6*u. Suppose -12 + 20 = 4*l. Let z(v) = -v**3 + 0*v - 7*v + l*v. Let b(x) = x. Determine d*b(i) - z(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 172160.\nAnswer: -688640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 9:57 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452195 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11110100011000 (base 2) to base 10\nAnswer: -15640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/24 and 79\/1295764?\nAnswer: 7774584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 + 9 = 0. Let d(p) = 36004*p + 52. Let r be d(c). Round r to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*t - 5*g - 45 = -329*t + 662*t, -8*t = 5*g + 39 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 205*s + 9626. Give n(132).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11b3 (base 16) to base 4\nAnswer: 1012303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**3 - 11*a**3 + 13*a**4 + 0*a**4 - 3*a**4 + 2*a**4 + (0*a**2 + a**2 + a**2)*(-a**2 - a**2 + 3*a**2) - 4*a**2 + 4*a**2 + a**4 - 2*a**4 + 0 + 0.\nAnswer: 13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -27*o + 35*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i**4 - 51*i**3 + 186*i**2 + 543*i + 300. Let q(z) = 7*z**4 - 52*z**3 + 185*z**2 + 542*z + 300. Let w(p) = 2*b(p) - 3*q(p). Factor w(t).\nAnswer: -3*(t - 10)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21*m**3 - 4*m**2 + 3. Let h(o) = -2*o**2 + o. Let f be h(-1). Let z be c(f). What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 135*d**2 + 265*d**2 - 129*d**2 + 2*d + 2*d**3 + 1 - 5*d**4 in the form q*d**4 + m*d**3 + w*d + h + v*d**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 60. Suppose -5*v + 66 = -q. What is the remainder when 64 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-570)\/(-279) - 1. Let b(x) = -x**2 - 55*x + 113. Let l be b(-57). Which is bigger: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 + 264*i + 268 = 0.\nAnswer: -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 3 + -12 - 13) + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11212122003312 + 2?\nAnswer: 11212122003320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1477\/867 - -32\/867. What is the third biggest value in -2\/11, -2\/17, x, -190?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -154 (c) -117 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -7. Suppose f = -5*n - 19. Let l(o) = o**2 + 7*o - 11. What is the units digit of l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 4:34 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 5906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 + 8 = 0. Let a(f) = 6*f**2 - 2*f**c - 6*f**2. Let y(m) = -22. Let d(s) = s + 77. Let v(w) = 2*d(w) + 7*y(w). Determine v(a(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 43 = 5*u - 4*r, 2*u + r - 18 = 0. Let v(a) = 8*a - 6. Is 10 a factor of v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (3 + sqrt(72)) - sqrt(72))**2 - (1 + sqrt(2)*1 - sqrt(2)) - (sqrt(54)*3)\/(sqrt(12)\/sqrt(36)).\nAnswer: 9*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 21*i - 26. Let t = -32 + 33. Let j be t\/(-6) - (2058\/(-36))\/7. Is u(j) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/(-1 - 0). Suppose 19101*w - 3 = -4*h + 19102*w, -5 = -h - 4*w. Sort i, 2, h.\nAnswer: i, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*h**4 + 54366914*h**3 + 23300040*h**2 - 26628664*h + 4438112 = 0. Calculate h.\nAnswer: -554764, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 + -3)\/(-6)*0)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 + -125. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/252270 and 139\/554994.\nAnswer: 2774970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0614026192 to six decimal places.\nAnswer: -0.061403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, b: 2, j: 6, s: 1, z: 1}. Give prob of sequence jjz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1314295374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -14*p**3\/3 + 5*p**2\/2 + p + 7. Let k(b) be the first derivative of s(b). Is k(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 0 + 6 - 2 - 2*s + 8. Let g be 8\/(-3)*6\/(-4). Let f be c(g). Sort -6, -1, f, -2 in decreasing order.\nAnswer: f, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z - 1. Let b(y) = 31*y**2 + 65*y - 5. Let n(i) = -b(i) + 5*r(i). Find the second derivative of n(t) wrt t.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3*q = -204. Suppose -3*c = -c - q. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -11*z**2\/3 - 5567*z\/3 + 9198 = 0.\nAnswer: -511, 54\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/3 + 142*m**4\/3 - 14410*m**3\/3 - 648854*m**2\/3 + 28848320*m\/3 - 247846400\/3 = 0.\nAnswer: -85, 16, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2 - 857088*k - 857085 = 0.\nAnswer: -285695, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 839683*g**3*y**2 - 6*g**3*y - 3*g*y - 85461*g - 2*y**2 + 11*y wrt g?\nAnswer: 5038098*g*y**2 - 36*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, t: 1, w: 5, e: 1}. Give prob of picking 1 l and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l**2 + 6*l + 1. Let o be d(1). Let u(a) = -6*a + 8. Let q(r) = -5*r + 6. Let h(p) = o*q(p) + 3*u(p). Let v(f) = f**2. Give v(h(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -544309, -1088532, -1632755, -2176978, -2721201, -3265424?\n\"Answer: -544223*j - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 1. Let s(y) = -4*y + 3. Let f(m) = -s(m) + 3*v(m). Let a(t) = t**3 - 2*t. Determine -a(c) - f(c).\nAnswer: -c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218 + 88 - 4*b**2 + b - 214)*(-b + 3*b - 3*b).\nAnswer: 4*b**3 - b**2 - 92*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 10. Let r = k - -11. Suppose -4*t = r*o - 60, 28 = 3*t - o - o. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.98802631 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 7. Calculate the remainder when -2*((-855)\/(-10))\/(-9) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2051343 + -15002?\nAnswer: -2110345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - 15\/(-4). Let p = 4 - m. Let v = p - -3. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113202125 (base 6) to base 12.\nAnswer: 4100345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let a(u) be the second derivative of -u**3\/6 - 23*u. Determine t(a(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 872414109 by -17106159.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*h + 283, -3*k - 2*h + 1212 - 379 = 0. Suppose -j + 5*i + k = 4*j, -4*j - i = -245. What is the remainder when 235 is divided by j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/7 - 3) + 138\/322?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 31 - 13 - 6*i)*(0*i + 3*i - 2*i) - 18*i + 18*i - 3*i**2 as g + p*i**2 + d*i and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4010 - -4009.889984. Let p = -0.11 - w. Round p to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12451338 to the nearest integer?\nAnswer: 3529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 93, 136, 217, 348, 541?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -650\/304493 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 5. Let p be a(-3). Suppose 3*d = 11*d + p. What is the tens digit of (0 + d)\/(3\/(-114)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -587*y**3\/6 - 675*y**2\/2 + 187*y + 2. What is the first derivative of l(q) wrt q?\nAnswer: -587","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -27382401?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -79215.\nAnswer: -3\/26405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3694\/10 + (240\/(-50))\/12. Let u = 807 - c. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by -32.\nAnswer: -131\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1876\/5 + 934\/5*s + 2\/5*s**3 - 188*s**2 = 0.\nAnswer: -1, 2, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - 0. Let p(d) = -d**3 - 5*d**2 - 5*d + 6. Let n(t) = t**3 + 6*t**2 + 7*t - 7. Let h(r) = -4*n(r) - 5*p(r). Give h(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*r + 229. Let d(c) = 5*c**2 + 2*c - 5. Let i be d(3). Let s = i - 24. What is the highest common factor of s and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -329279?\nAnswer: 69\/329279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -419 and 40365.\nAnswer: 39946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3969*b + 6338*b - 205072 = -7158*b + 61684 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 3, c: 12}. What is prob of picking 1 z and 1 s?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -4*y - 3*b, 3*b - 7 = -2*y + 3*y. Let d be (y\/(-3))\/((-6)\/(-9)). Find the third derivative of -d*u**4 + 3*u**2 - 5*u**6 + 5*u**4 wrt u.\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l**3 + l**3 - 2*l**2 - 2*l**3 + 2 - l. Let d be f(-2). Let g(o) = o + 5. Let r be g(-3). Sort r, -3, d in ascending order.\nAnswer: -3, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (744\/(-7130))\/((-72)\/(-96)*4\/5)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -114*m + 6263. Determine j(55).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-102)\/85*10\/(-3). Suppose -2*n + 24 = -k*n. Which is smaller: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -20 + 1 + -4 + 12 + 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147465.6 micrograms in kilograms?\nAnswer: 0.0001474656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) - 5824\/2405. Let y = -4133\/518 - h. What is the common denominator of (-58)\/(-20)*2\/24*6 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -110810?\nAnswer: -6\/55405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c - 8*c + 9*c - 11*c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224028591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33461767 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 6315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -s + 2*o, -4*o = -6*s + 3*s + 41. Which is the biggest value? (a) -0.1 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 19578945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2076 (b) -0.1 (c) -2\/4385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -27*s + 224. Calculate k(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.036 + -39. Let t = x - 0.075. What is t rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27669377 smaller than -27669385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 11*v**2 + 89*v - 811. Let u be y(11). Calculate the greatest common divisor of 18648 and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(3\/(-45)). Suppose 3*s = 88 - 28. Suppose -4*k + 10 + 6 = g, 5*g + s = 5*k. Solve r - k*v + 25 = 0, o = -0*r - 2*r - v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i + 41*i + 198*i.\nAnswer: 284*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrwrrrrwr. Give prob of picking 3 r.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*o + t, 4*o - t - 26 = -3*t. Let w(i) = 10*i**3 - i**2. Let r be w(1). Suppose -r*d + 5*d = -20. Calculate the lowest common multiple of d and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 307514 - 0.3\nAnswer: 307513.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 14*k - 43. What is the smallest common multiple of r(5) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 388 + -387. Let m(u) = -4 - 3 + 11*u - 3 - w + 7. Let v(i) = -2*i - 3. Let c(h) = 9*h + 13. Let s(y) = -6*c(y) - 26*v(y). Give s(m(o)).\nAnswer: -22*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t - 288 = 57*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/4 + 5\/20. Let r be 1\/t + 345\/4. Suppose r = 3*f - 19. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*v. Solve 2*b + l = -11, -v*b + 12 = -3*l + 34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149 * -0.01\nAnswer: -1.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from ffbbbbfffffb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/20)\/(18\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (-168 - (-25 + -56)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:10 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32, 1\/33177, 0.5, 0, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.558127ns in weeks?\nAnswer: 0.0000000000002968884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1067762 divided by 2\nAnswer: -533881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-2*-4 - (6*sqrt(15)\/sqrt(3) + sqrt(5)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-1 - (-5 + 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4, 1\/2, 3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10104)\/(-300)*5)\/((-6)\/(-15)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 707, 1564, 2757?\nAnswer: 4286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 2 + 2 - s + 3*s - s + (2*s + 0*s - s)*(-1 + 3 - 4) - s - 3*s - 3*s + (-4*s - s + 3*s)*(4 - 2 - 1) to the form q + y*s and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-413)\/(-2065)*5\/(-4))\/((-783)\/(-24)).\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 3*f + 3. Let w be 13 + 645\/(-45) - 1\/(-3). Let t(a) = -a**2 + a - 1. Calculate w*g(x) + 2*t(x).\nAnswer: -x**2 - x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4\/6 - 10\/(-30). Solve g = 4*b - 3 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5 + -1) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 3. Let v be q*((-12)\/14)\/1. Let h(l) = -l**2 + 5*l. Determine h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -15159\nAnswer: 3031.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/15*1140\/24)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 30*n + 80. Determine c(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 334*v**2 + 252*v - 545. Is i(-183) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 4*u**2 - 5*u - 2. Let m be h(5). Let a be -1 - (1 - (-6)\/(-1)). Let l = a + m. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49132 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75868 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + g + g + g + (-g**2 - g**2 + 3*g**2)*(3 - 4 + 3) - g**2 + 2*g - 2*g.\nAnswer: 3*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 403951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Let u be (6 + -4)\/(n\/(-94)). Let g = 104 + u. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 3:59 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77 + 3?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 277*q - 13291. Calculate x(35).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 2*b - 188 + 14*b**2 + 207. Is y(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 65*k. Let u be 17\/17 + 88 + 1. Let z(c) = 3*c. Let j(w) = u*z(w) - 4*d(w). Let g(p) = 6*p**2. What is j(g(o))?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 15 = -7*o. Suppose o*r + 33 = b - 0*r, -r = -2. Let y = 43 - b. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11121021212101 (base 3) in base 15?\nAnswer: 334d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1386 and 271782?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -45?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/7 - 368*s**2 + 5164*s\/7 - 2584\/7.\nAnswer: -4*(s - 1)**2*(s + 646)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/5 + 740*f**2 - 7404*f\/5 = 0.\nAnswer: -3702, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - n + 1 + (-2 - 2 + 2)*(-n - 2*n + n))*(-1 + 1 - n)*(1 + 14 + 2)*(-3 + 4 - 3).\nAnswer: 102*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -12*d**3 - 24*d**2. Let o(a) = -a**3 - a**2. Give m(f) - 24*o(f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111001100 - -10010101100111111?\nAnswer: 10001001101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*g - 4*g. Which is the closest to 0.1? (a) g (b) 3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11157158.\nAnswer: 2, 653, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 13 + -4 - 0 - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4543 divided by -140\nAnswer: -649\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 1232328340?\nAnswer: 1232328338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-825)\/(-30))\/(-5))\/((-2)\/4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4908, -16 in decreasing order.\nAnswer: 4908, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 4, 2\/3, 22 in decreasing order.\nAnswer: 22, 4, 2\/3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11380*d**4*w - 249*w + 7 with respect to d.\nAnswer: -45520*d**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 6*n - 5, -3*n - 168*f = -165*f + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1424 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0*472\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2080 + 1798 = -6*h. Calculate the remainder when 469 is divided by h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 + 0.02. Let d = j - -0.3. Suppose 7 = 2*n + 11. Is n != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/13 + 14991536*b**2\/13 + 29983078*b\/13 + 14991540\/13.\nAnswer: -2*(b - 7495770)*(b + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2136)\/(-54) + 2\/9. Let z = s + -40. Put 1\/8, z, 2\/17, 7\/5 in increasing order.\nAnswer: z, 2\/17, 1\/8, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*j + p, -4*p = -0*p + 12. Suppose -j*n + 756 = -804. Suppose 0 = -3*m - 5*o - 595, -m - 4*o - n = 3*m. Round m to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + b**2 + 2*b**2)*(-2*b**2 - b**2 + 2*b**2) - 3*b**4 + 0 + 0 + (-3*b**2 + 2*b**2 + 2*b**2)*(4*b**2 - 4*b**2 + b**2).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -748*w - 4166 + 52038 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.66 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 29. What is the remainder when 30 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i - 3*q = -18, 4*q = 16. Suppose -i*b + 2*b = 0. Suppose -5*r = -b*r. Put -2, 4, r in descending order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*n - 3 - 8, 5*o - 18 = -2*n. Suppose q - 3*p = -o*p + 324998, -3*q + 2*p = -975004. Round q to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*t + 5*t = 14, 3*d - 6*t = -6. Suppose -4*c + 3*m + 15 = -2*m, -m + 55 = 5*c. Calculate the lowest common multiple of c and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3 + 1726*z**2 - 12004*z + 17120 = 0.\nAnswer: 2, 5, 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329 and 2162.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43433698813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510586441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -3) + 7 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -632*f - 30246. What is j(-48)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.686437 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2\/3))\/p)\/((p**(2\/3)*p)\/p))\/(p**1\/p)**(-38))\/(p**(-2\/15)\/p**(-4))**(-1\/41) assuming p is positive.\nAnswer: p**(-254\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841544501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6)*58 + -5 + 8. Calculate the greatest common factor of j and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1170 and 22515480.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 11*f - 14. Determine v(-9).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141231*i**4 - 44043*i**2?\nAnswer: 3389544*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1835005871?\nAnswer: 8521, 215351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (201\/9)\/((-2)\/(-6)). Suppose m - z = -0*m. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c - 2 + 0*c**2 + c**2 + 0 - 6*c. Calculate the lowest common multiple of m(8) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-11 + 26) - -90) + -1\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 31*f - 34*f = -4732, -4*f + 2826 = 3*s. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-12388\nAnswer: -12387.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252708*457.\nAnswer: -115487556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 9*g - 1. Let t(n) = 2*n**2 + 5*n + 1. Determine -6*i(m) - 11*t(m).\nAnswer: -4*m**2 - m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/13 - 14*h**4\/13 - 47772*h**3\/13 + 34516*h**2\/13 + 268812890*h\/13 - 20676894 = 0.\nAnswer: -107, 1, 91, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1338983 and 992.\nAnswer: 1328271136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 4*c - c**2 - 4 + 0*c**2. Suppose x - 4 = 1. Let j(d) = -4*d**2 - 5*d - 5. What is x*w(n) - 4*j(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**3 - 7*m**2 + 9*m - 13. Let d be q(5). Let h = d + 3253. Is h 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 762306?\nAnswer: 2, 3, 127051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 9595?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -193, 250 in increasing order.\nAnswer: -193, -17, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82*m - 103*m + 152*m - 2)*(11 - 4 + 7) to the form q*m + v and give q.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -214, -253, -308, -355, -370, -329, -208?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 - 75. Let k(f) = -f**2 - 15*f + 4. Let c be k(-17). Let r = b + c. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -647*z**4 + 1506. Let s(b) = -647*b**4 + 1505. Let g(a) = 4*o(a) - 5*s(a). Differentiate g(p) with respect to p.\nAnswer: 2588*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -81. Sort -24, z, -2, 5 in descending order.\nAnswer: 5, z, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (1 - -18 - 15) + 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 32 = -r - 4*h, 5*r - 44 = -h. Let p = -243 - -835. Suppose 35*k - 388 = p. Calculate the remainder when k is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 18*m**2 - 38)*(-m - 3*m - 2*m)*(6 + 5 - 2 - 4).\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3760\/7 - 539. Calculate the common denominator of t and -25\/503.\nAnswer: 3521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -33*b + 197. Suppose -52*h - 3*p = -48*h - 39, -3*h + 2*p + 8 = 0. Calculate x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 24, -47112.\nAnswer: -47112, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000273 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/r**(-15\/7))\/r)\/r*r*r\/r**(2\/15))\/(r\/(r**(-2\/11)*r))**(-45))**(11\/6) assuming r is positive.\nAnswer: r**(14081\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -11638 (b) -1\/6 (c) 0.9 (d) 5\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(32)\/sqrt(4)) + (-1*sqrt(200) - sqrt(200))**2 + 3 + (0 + sqrt(2))*5 + 4 + (sqrt(12)\/sqrt(6))**2.\nAnswer: 6*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 17)*(-5 + 34\/4) + -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 z when four letters picked without replacement from {q: 3, z: 2, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1156, -2245, -3334, -4423, -5512, -6601?\n\"Answer: -1089*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/22 - 741\/(-143). Suppose f + 29 = -b*z, 5*f - 11 = 4*f + 3*z. Let g(j) = 5*j - 6*j**2 + 3*j**2 + 4*j**2 + 5. Calculate g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 3. Let c be p(4). Solve 4*l = 3*n + c, -3 = 4*l - n + 2*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223379*r**4 - 120*r**3 - 6*r**2 + 993*r + 168204?\nAnswer: 2680548*r**2 - 720*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200332 by 638.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5531140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*d - c, d - 3*c = 1 - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - -91272?\nAnswer: 91285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4032 - 23121?\nAnswer: -31153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3454625 is divided by 493507.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-12)\/(-20)*2916\/(-4860)*(-350)\/18\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628203342 divided by -24161667?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 3*q. Let i(a) = -2*a**2 + 3*a. Let w be i(q). What is the units digit of -3*w\/(-3)*-15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/7 - -9*(-1)\/3. Put 2, 12, a in decreasing order.\nAnswer: 12, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 148*o - 461. Let l(w) = -73*w + 229. Let m(b) = -3*j(b) - 7*l(b). What is the first derivative of m(n) wrt n?\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -90, -206, -368, -576, -830?\n\"Answer: -23*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 724 + -722. Let m(p) = -7*p**3 - 2*p**2 + 3*p - 3. Determine m(i).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 955 = -0*o. Let p be o*3\/126 - -1. Let v = 40\/7 - p. What is the smallest value in 0.4, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1145 and -0.1.\nAnswer: 0.01145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from {r: 11, w: 6, k: 1, f: 1}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -11. Suppose -31 = -4*q - 11. Solve 2*w - y*w + p - q = 0, 10 = 5*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -227, -455, -683, -911, -1139?\n\"Answer: -228*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -821 * 0.1.\nAnswer: -82.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1*m)**(-1)*(m*(m*m*m**(1\/4))\/m)**(-31\/4) assuming m is positive.\nAnswer: m**(-327\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -9\/254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 95545785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 452 - 11311352?\nAnswer: -11310500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17235, -68967, -155185, -275877, -431031, -620635?\nAnswer: -844677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -112. Let a = 10124243.000134 - 10124172. Let p = a - m. Round p to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*c - 820 - 163 = 477. Let b(x) = 9*x**2 + 9*x + 8. Let v(u) = 8*u**2 + 8*u + 7. Determine c*b(d) - 6*v(d).\nAnswer: -3*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + 91 + -31 + -4?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2322 and -1\/54.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 10) + -19 - -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*r - 14, -r = 4*l - 3*r + 56. Let s = l + 17. Let f be s\/8 - 4\/32. Put -2\/3, 5, f in descending order.\nAnswer: 5, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -9. Suppose 9*k - 4*k - 985 = 0. Suppose -6*t = -k - 127. What is the highest common divisor of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = 22, 30 = 5*y - 4*z. Suppose 0 = -i - y + 8. Let p be 4*i\/8 + -1. Solve 3*x - 4*f + 20 = x, p*f + 2 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-5)\/(-3))\/5)\/((-1)\/(-45)). Differentiate -55 + 80 - 24*w - i*w wrt w.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239 by -680417.\nAnswer: -239\/680417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/129? (a) 0.2 (b) -13 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*z - 98, -s - 17*z + 110 = -16*z. Solve 30 = 112*v - s*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -31 (b) -14 (c) -47 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246.4517cm to micrometers.\nAnswer: 2464517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 744329 (base 11) in base 2?\nAnswer: 100100010111011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 1.3. Let q = -7.49 - -3.22. Let r = 0.27 + q. Sort r, h, 2\/5 in decreasing order.\nAnswer: 2\/5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 5*z + 2*z + (-3 - 2*z + 3)*(0 - 2 + 0) + (2 + 3 + z - 2)*(-235 - 3405 - 3159 - 5962) to the form a + u*z and give u.\nAnswer: -12758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 340064437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -7 - (165 - 155).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 152458627*t**2 + 152458634*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1021593, 2043185, 3064777, 4086369, 5107961, 6129553?\n\"Answer: 1021592*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21483, 21417, 21401, 21441, 21543, 21713?\nAnswer: 21957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let p(y) = 1. Let v(g) = -19*g - 4. Let t(b) = -12*b - 2. Let r(h) = 7*t(h) - 5*v(h). Let n(x) = -6*p(x) - r(x). Give n(f(q)).\nAnswer: 22*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 9\/(-3) + 4. Let l = 3 + s. Let v(x) = 3*x**3 + 4*x**2 - 2*x. Let u(a) = 13*a**3 + 16*a**2 - 8*a - 1. Let w(g) = -2*u(g) + 9*v(g). Determine w(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**17)**(1\/21)*o**4*o*o**(-11\/3) assuming o is positive.\nAnswer: o**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -1\/2*f**3 + 0*f + 0 + 2*f**2 + 7\/24*f**4. Is r(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 11*g + 5. Let h be o(10). Calculate the highest common divisor of h and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12643\/40 - -3975\/8. Let v = w + -18919\/105. Is v less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:23 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 350540205 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*i**5\/7 + 184*i**4\/7 - 52*i**3\/7 = 0.\nAnswer: 0, 13\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026234542 rounded to five decimal places?\nAnswer: -0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5282, 10589, 15894, 21197, 26498, 31797?\n\"Answer: -d**2 + 5310*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.622 + 1.378. Which is the nearest to -1? (a) 0.4 (b) 11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8267, 16532, 24797?\n\"Answer: 8265*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-42)*48)\/((-40)\/560*-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 81 + 7 + 65 + 17*u. Suppose 12 = -v + 5*y, -5*v - 2*y = -v - 40. What are the prime factors of f(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-66)*(-225)\/(-150)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3981 + -3974. What is the lowest common multiple of c and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x + 2*x)*(-12*x**2 - 16*x**2 - 17*x**2).\nAnswer: -45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.062 + 0.1398. Let k = y + -15.0778. Let b(j) = j**3 + 5*j**2 + 2*j - 5. Let i be b(-4). What is the closest to 0.1 in k, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3598 - 383. Let o = -4022.02 - g. Let w = -41 - o. What is the biggest value in 2\/3, w, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 102*y - 45. Let t(k) = 7*k + 46*k - 23 - 2*k. Let m(i) = 13*t(i) - 6*v(i). Differentiate m(l) wrt l.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + b + 17907, -6*o - b + 14322 = -2*o. List the prime factors of o.\nAnswer: 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 + 4*j + 2. Let p(m) = 3*m**2 + 2*m + 1. Calculate 11*p(g) - 6*x(g).\nAnswer: -3*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*q**3 - 70*c*q**2 + 4*c*q - 2*c - q**3 - 6*q wrt q?\nAnswer: -6*c*q - 140*c - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) - (-68)\/(-28). Which is the nearest to 2? (a) l (b) 2\/3 (c) 2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 16, 6, 2 in ascending order.\nAnswer: -4, 2, 3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -15\/16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -104466 divided by -4542\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1587441 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -1 - -4) + -1. Suppose h + 0*h + 5 = u. What is the tens digit of (h\/5)\/(2\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 192?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172*4191\/88*4*2\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*z**4 - 13*z**4 - 242133*z**2 - 118*z**3 - 24*z**3 + 242133*z**2 as h*z**4 + o*z**2 + j + l*z**3 + d*z and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*g - 291100 = 282*g. What is the second derivative of -72775*c**2 - 182*c**4 + g*c**2 - 13*c wrt c?\nAnswer: -2184*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1221*f**2\/4 - 1215*f\/4 + 3\/2.\nAnswer: -3*(f + 1)*(407*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1294 and 1315 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 5*g, 4*g = 4*s. Suppose 5*o + k - 592 = s, 3*o = 7*o + 4*k - 464. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 5*y**4\/24 + 272*y**2 + 5*y. Let w(t) = t**2 - t - 1. Let a(d) = -10*d**2 + 2*d + 2. Let i(v) = a(v) + 2*w(v). Give u(i(z)).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6945977ng?\nAnswer: 0.0000000000000006945977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-15) + 115*20\/12?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 197831\/(-24171)*9\/288*-4. Let r = 138\/8057 - i. Find the common denominator of -127\/126 and r.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -4*f + 9*f. Let c be (-18)\/f - 90\/(-14). Solve c*v + 4 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 27?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30130 = -26*q - 30572 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*h**3 - 19*a**3*h + 7*a**3 - a**2*h - a*h**3 - 91*a*h**2 + 49*h**2 - 32*h wrt h.\nAnswer: 12*a**3*h - 6*a*h - 182*a + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 270100465 and 270100465 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -22*v + 6. Let g be j(-5). Let b = 117 - g. Is 14 a factor of (2\/4)\/(b\/84 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2023 - -18?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 0.03, 0.2, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*v - 430, 2*v - 213 = 3*h - 2*h. Let t = h - -205. Solve t = -5*w + 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13948073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose -3*x + h*g + 538 = g, 0 = -5*x - 5*g + 880. Suppose -6*w = -w + 4*c - x, 5*c = 3*w - 79. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2847, 5101, 7373, 9657, 11947, 14237?\nAnswer: 16521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7860384690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 12 - 12)*(3 + 2 - 4)*(-4 + 5 - 6).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*v - 3*u + 14, -v - 2*u = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 91171550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10425 bigger than 10116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5262, -5263, -5264, -5265, -5266?\nAnswer: -5267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 0 + 9 - 4*k + k - k**2 - 3. Let o be u(-4). Solve -o = -4*q + 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*s = -9*s - 30, 2*w + 2 = -3*s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -137, -171, -219, -281, -357?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iliiiiiiiiiii. Give prob of picking 1 i and 1 l.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37402, 74648, 111892, 149134, 186374, 223612, 260848?\n\"Answer: -n**2 + 37249*n + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2 - 26 = -5*w, 2*w - 2*c = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 601877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -119*y - 3453. What is b(-29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1819 + 1819 - 15*f**2)*(-2*f + 2*f + 2*f) + 0*f + 0*f + 2*f**3 + (2 - f**3 - 2)*(-1 - 1 + 3).\nAnswer: -29*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*m - 229*m - 164*m + 2613 = 152*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 + k + 1. Let a = 11 + -32. Let i = a - -27. Suppose 0 = -i*n + 4*n - 8. What is v(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51080)\/(-140) + 1\/7. Let p = -368 + w. Is p > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241408.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: da (base 16) to base 9\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49505713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/12 + 19\/44. Let b be (-110)\/(-280) + (-2)\/14. Sort o, 5, b in ascending order.\nAnswer: o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/115 and -97\/25116.\nAnswer: 125580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. What is the units digit of 60\/18 - v\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 14) in base 6?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1361 - 16898*p**3 + 383 + 16899*p**3 as z*p**2 + r + w*p**3 + g*p and give r.\nAnswer: 1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5, -0.07, 8, 1 in descending order.\nAnswer: 8, 1, 1\/2, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -4 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 + 121.9999768. Round b to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h - l + 43 = 0, h + 5*l + 9 = 0. Suppose 0 = -h*v + 686 + 114. What is the greatest common divisor of v and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)\/d**(-1\/3))\/(d**(-1)\/d)**28 assuming d is positive.\nAnswer: d**(1189\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c + 1. Let v(i) = i**2 - 2*i - 1. What is -5*r(g) - 3*v(g)?\nAnswer: 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6320518 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -19. Suppose 6*m - 8*m = r. Does 9 divide (-62)\/6*(m + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322880.\nAnswer: 2, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21*33\/22. Suppose 0 = -0*x - 3*x + 12. What is the closest to k in -1, -4, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k - 1\/5*k**5 + 2\/5*k**4 - 1\/5*k**3 + 0*k**2.\nAnswer: -k**3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8565923129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 + 7*w + 9. Let t be h(-6). Suppose 0 = n - t. Let q(f) = 13*f + 2. Let u be q(n). Round u to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o - 56 = 0. Let s be (-9799996)\/14 + (-4)\/o. What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -0.58, -57.25, 0.1.\nAnswer: -57.25, -5, -0.58, 0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109611 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33270692 to the power of 1\/2, to the nearest integer?\nAnswer: 5768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210310 + -102?\nAnswer: 210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9583 and 2331?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**8\/112 - 61*y**7\/210 - 113*y**6\/30 - 24*y**5 - 72*y**4 - 72*y**3 + y**2 - 590. Factor x(t).\nAnswer: -(t + 2)*(t + 6)**3*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvv when three letters picked without replacement from vvvvvkvk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 2*i**2 - i - 2. Let y be t(2). Let k(b) = -4*b**3 + 2*b**2. Let q(f) = 17*f**3 - 9*f**2. Determine y*q(c) - 18*k(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i + 4. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4378 divided by -1\nAnswer: -4378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/(-189)*-9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15 - 6 - 1136*t + 1129*t. Calculate h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuytubxttt. What is prob of picking 1 t and 1 b?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1149*t**4 + 8*t - 253524.\nAnswer: -4596*t**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 - 5*z**2 + 4*z**2)*(-34 - z**2 + 34 - 10*z) as w*z + f + i*z**3 + v*z**2 + s*z**4 and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 609, 1, 38, -1 in increasing order.\nAnswer: -2, -1, 1, 38, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w + 0*w)*(-12*w - 3*w + 2*w).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*y**5*z - 2*y**4*z**2 - 3*y**2 - 6*y*z**2 - 8*z**2 wrt y?\nAnswer: -4740*y**2*z - 48*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 7616.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 2 - 2391714\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 2, o: 1, v: 4}. What is prob of picking 1 z and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -625054, -625056, -625068, -625096, -625146, -625224?\n\"Answer: -x**3 + x**2 + 2*x - 625056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743 - 10726 = 945*g - 1019 + 3321 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(-68)\/(-85)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*387\/86?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxlxlxll. What is prob of picking 2 l and 2 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 51. Calculate the highest common divisor of 24 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236 or -235?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-6)*(-9)\/6. Solve 4 = -c*d + 4*a - 0, -7 = 2*d - 5*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1 + 11 = 0. Let u(y) be the third derivative of -5*y**4\/24 - y**3\/2 + 4*y**2. What is the remainder when 20 is divided by u(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-40)*-4)\/((-1)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 14*d**3 - 5*d**2 + 5*d - 5. Let w(z) = 21*z**3 - 7*z**2 + 7*z - 7. Suppose 4*t = 2*g + t - 20, 4*t + 8 = 0. Determine g*c(l) - 5*w(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5\/2 - 9*c**4\/2 - 21*c**3\/2 + 45*c**2\/2 + 27*c = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -98, -131, -146, -137, -98?\n\"Answer: l**3 - 52*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 63*m**3 - 8297*m**2 - 6*m + 11*m + 8297*m**2.\nAnswer: -63*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, 0.1, 4, -129?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 4. Let a be q(4). Let i(x) = x**3 - 6*x**2 + 4*x - 4. Let o be i(6). Let k = a + o. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 278*j - 1161 wrt j.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 42*t = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 8786.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17750964, 17750974, 17750990, 17751012, 17751040, 17751074, 17751114?\nAnswer: 17751160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 119170590 rounded to the nearest ten thousand?\nAnswer: 119170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*v - 645 = -2413, -5*w + 5*v = 2175. Let i = -16 - w. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 350 = 0. Let p = -70 + q. Let z(u) = -u**2 - 2. Determine z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*n**4 + 4\/9*n + 0 + 8\/9*n**3 - 10\/9*n**2.\nAnswer: -2*n*(n - 2)*(n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + -2 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174519, 349047, 523575?\nAnswer: 698103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/8 + 3*v**2\/4 - v - 12. Factor a(y).\nAnswer: -(y - 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*a - 49*a - 18*a**3 - a**2 + a**2 - 2*a**3 + (-3*a + 0*a + 4*a)*(-2*a**2 + 2*a**2 + a**2) + 6*a**3 - 3*a**3 - a**3 + 0*a**3 + 2*a**3 - 4*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 631220004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -85718.\nAnswer: 514308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 2*z + 5*d, 2*d + 81 = -5*z + 66 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - 2) + (-322 - -354).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 43*p. Let f(v) = 7*v**2 - 338908*v - 4*v**2 + 338908*v. Determine m(f(q)).\nAnswer: 129*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67990434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2220284*h**2 + 25384098*h wrt h?\nAnswer: 4440568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - v = 4*v - 39, 0 = 2*c - 5*v - 26. Let h = 139 + -22. What is the greatest common factor of h and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z + 0*z**5 - 2*z**4 + 2\/3*z**6 + 2*z**2 + 0*z**3 + 5. Suppose b(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 766 = 4*o - m, o = 4*m + 270. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 and 103\/94?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -22*d - 332. Let b be y(0). Let h = b - -337. Solve 12 = -2*t + 5*k, -h*t + 4*k - 4 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.525 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - 2*m + 2. Let w be k(2). Suppose 4*r = 3*l + w, -3*l = -3*r - 5*l + 16. Does 5 divide ((-10)\/r)\/(356\/(-88) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x + 11*x + 55*x + 1404 + 1596 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*w + 4)*(-10*w**2 + 0*w**2 + 0*w**2) - 2*w**2 - 4*w**3 + 3*w**3 - 2*w**3.\nAnswer: 17*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - f - 5. Let u be w(-4). Let n = 1 + u. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*p + 249 + 346 = -1495 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -1\/4*f**4 - f - 4 + 3\/2*f**2 + 2\/3*f**3. Give a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -35) + 3 + (1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 12. Let n be 3\/((p\/(-2))\/(3\/9)). Suppose 3*c = -y + 199, 5*c - 337 = n*y - y. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 14) in base 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 7481*t + 0 - 4 - 7484*t. Let k(g) = g**3 - 4*g**2 - 3*g - 6. Let v be k(5). Let u be i(v). Which is bigger: u or -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-80))\/(-21*3\/30).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.083.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/30 - 18\/(-10). Factor 76*p**3 - 16*p - 10*p**2 - 9*p**2 - 13*p**n - 28*p**4.\nAnswer: -4*p*(p - 2)*(p - 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -38. What is the remainder when m is divided by ((-6)\/(-1))\/2*5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2\/9 (c) 10.26 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * 52.\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(4 + (-925)\/230). Suppose 0*i + 2*i + 4*q - 32 = 0, 3*i = 5*q + o. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 543 + -183. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2085781, 2, -3 in descending order.\nAnswer: 2085781, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldwwpppdlnll. What is prob of picking 1 l and 2 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*(-11)\/1155*14*(-18)\/2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 196863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*t - 9 = -3*l, l - 9 = 2*t. Let h(d) = l + 5 - d - 2. Let n be h(6). Solve -u - 5 = -n*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4 = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1364708, -1364799, -1364944, -1365137, -1365372, -1365643?\n\"Answer: o**3 - 33*o**2 + o - 1364677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-252)*(14\/35)\/((-12)\/40)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 14 + -12 + -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**2 - 14*k + 6. Let a(f) = -2*f**2 - 5*f + 2. Let p(n) = -n**3 - 23*n**2 + 52*n + 46. Let b be p(-25). Let v = 85 - 74. What is b*t(w) + v*a(w)?\nAnswer: 2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 241163213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 245711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 53*y - 496. Is o(45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3626 - 2542 = 322*f + 2204 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5209 (c) 0 (d) -1 (e) -6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -4\/11, 21, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2233043 (base 6) to base 4\nAnswer: 123230103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -86.4. What is the second smallest value in v, 1, 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, -6, -1, 1, 14 in decreasing order.\nAnswer: 14, 1, 0, -1, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6771259 is divided by 869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 6*y - 2*y - 29, 0 = 3*s - y + 23 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 74 - 4*x + 70.\nAnswer: -4*x - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/6 + 7*g**2\/2 - 2*g. Let a be t(5). Factor 19 - 15 - a*n + 2*n**2 + 8*n.\nAnswer: 2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/(2\/116). Which is greater: 28 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5780\/3 or -1?\nAnswer: 5780\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85318.\nAnswer: 2, 29, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/60*(-12)\/(-36).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -259*g**3 + 10*g + 257*g**3 + 4*g**2 - g**2 - 5*g**2 to the form z + f*g**2 + b*g + j*g**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 - 115*r**3 - 2230*r**2 - 3960*r = 0 for r.\nAnswer: -11, -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4922898941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17914*l + 20280*l + 92274 = 0 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 334, -5, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 33 - -23) + -14?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1518.2865 months?\nAnswer: 0.126523875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 923\/12 + -245\/3. Calculate the common denominator of 39\/11 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -44*r**5\/5 + 22*r - 27. Differentiate s(b) with respect to b.\nAnswer: -176*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 r(s) be the first derivative of -4*s**2 + 0*s**3 - 1\/2*s**4 + 0*s + 5. What is the second derivative of r(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -w. What is the remainder when 36 is divided by w\/(-6)*45\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(5) + (sqrt(5) - sqrt(245)) + -2*sqrt(500) + sqrt(500) + 3 + sqrt(25)\/sqrt(125) + 3)**2.\nAnswer: -444*sqrt(5)\/5 + 5521\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141210 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.99 + -0.01. Let n = i + 15.012. Round n to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 17*y**2 + 35*y + 26. Let d be o(15). Differentiate 0*l + 0*l + d*l**3 - 4689 + 4729 with respect to l.\nAnswer: 303*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (827 - 827 + 26*n**4)*(-5 + 2 - 2)*(2 - 3 - 4).\nAnswer: 650*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*x**3\/7 - 16042*x**2 + 51801*x\/7 - 5976\/7.\nAnswer: (x - 664)*(13*x - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23.0531525 from -0.4.\nAnswer: 22.6531525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2. Let n(z) = 12*z + 28. What is n(v(l))?\nAnswer: -36*l**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.1. Let j be -2*((-2)\/3)\/(208\/39). Which is the closest to j? (a) -10 (b) w (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, v: 1, c: 1, m: 2, d: 3}. Give prob of sequence cjv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37\/168 - -3\/56. What is the third smallest value in -0.2, 1\/3, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2698209, 0.1, 4\/9 in descending order.\nAnswer: 2698209, 4\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-52)*(-4)\/(-6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-24) + -31 + 1045\/44?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3839 and 1837?\nAnswer: 641113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2 - 75*m**3 + 2*m**4 - 7*m**2 - 1 - 3*m**4 + 3*m + 77*m**3 in the form t*m + l*m**4 + w*m**2 + g*m**3 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 2, i: 7}. Give prob of sequence kc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7785106*w**4 + 287204*w**2 - 4?\nAnswer: 186842544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(288) + (sqrt(72) - (sqrt(72) + 5)))**2*-5.\nAnswer: -23165 + 2400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1363095 and 302910?\nAnswer: 2726190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(425))**2 - sqrt(425)) + (((sqrt(833) + -2)**2 - sqrt(833)) + sqrt(833))*1.\nAnswer: -18*sqrt(17) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-50.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11) + 3*2*sqrt(11))*3 + 3 + -1*(sqrt(175) + 3).\nAnswer: -32*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-775)\/62*64\/(-200)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 163700.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*n = 58 - 54, 6 = -2*z - 4*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4) + (3 - (-3 + 8)). Let o(g) = -g**3 - 4*g**2 + 5*g + 5. Determine o(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 2. Let w = -24 - -11. Calculate the smallest common multiple of 2 and i(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 + -27))*-6*(42 + (-27004)\/645)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:05 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9.927, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Put 0.3, 1\/5, t in ascending order.\nAnswer: 1\/5, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 1152508.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -8 - 13. Suppose -5*n + 3 = 4*s, 3*n = n + 5*s + t. Suppose 3*b + n = 5*z, -3*z + 7 = b - 2*z. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*j**3 - 7 - 19 + 29.\nAnswer: 928*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-234))\/(250\/(-17700))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601702235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/60 + z**4\/24 + z**3\/6 - 4*z**2. What is k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3161, -3133, -3095, -3041, -2965, -2861, -2723, -2545?\n\"Answer: g**3 - g**2 + 24*g - 3185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*f + 53 = 4, -5*c - 2*f + 70 = 0. Suppose 3*q + o - c = 14, 3*q - 4*o = 46. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-245)\/(-30))*147\/105\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 942 + -905. Let k = 332 + 260. What is the greatest common divisor of k and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 27*s - 2. Let h(x) = 27*x - 10. Give 5*h(v) - 6*i(v).\nAnswer: -27*v - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 0.0633630936?\nAnswer: 0.3366369064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2023872393 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (33 - (11 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 168298 divided by 3\nAnswer: 168298\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 8 - 22 = 0. Calculate the remainder when 0\/(-1) - -17*1 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**2*u - 2*o**2 + 11*o - 198*u + 1 wrt o?\nAnswer: 2*o*u - 4*o + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 5*y**2 + 42*y + 19. Give t(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((1\/2)\/((-1)\/2)). Suppose j*m - 40 = 37. Let w(i) = i**2 + i - 2. What is the remainder when m is divided by w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51206*f**2*h**3*z**3 + 3*f**2*h**2*z - 3*f**2*z**3 + 2*f*h**2*z**2 - 4*f*h - z**3 wrt h.\nAnswer: 307236*f**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x = 2. Let w be ((-8)\/26)\/(x - 0). Sort w, 0.1, 1\/3.\nAnswer: w, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 24. What is the remainder when 94 is divided by k(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:33 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 7) + 3 + (-5 - -886) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -21. Suppose 12*u - 26 = 10*u. Suppose -2*a + 442 = u*l - 8*l, -5*l = -5*a + 1175. What is the highest common factor of x and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/2)\/3*(-2)\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 1\/3*j**3 - 7\/6*j**4 + 0*j**2 + 4\/21*j**7 + 0 - 13\/15*j**6 + 12*j + 3\/2*j**5. Factor i(k).\nAnswer: 2*k*(k - 1)**3*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 127820433?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 21*x**3 - 13*x**2 + x - 32. Is h(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -579, 1, 5\/12, 0.7, -0.5.\nAnswer: -579, -0.5, -0.2, 5\/12, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00576778 rounded to four decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2076*d - 145*d + 2424*d.\nAnswer: 4355*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b - 5. Determine q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3555*r**4 - 794 - 25*r**3 + 2*r + 398 + 23*r**3 + 395 as l*r**3 + b*r**4 + p + a*r + h*r**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r + 1. Let h be (2 - 1)\/(1*(2 - 1)). Let l(m) be the first derivative of -m**4\/2 - m**3\/3 + m**2\/2 + m + 14. Determine h*l(x) - f(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4412214 + -1?\nAnswer: -4412215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*y - f + 252, -2193*f + 2198*f + 31 = 4*y - 53 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 92.3522 micrometers?\nAnswer: 0.0000923522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-210 + 11 - 320)*(3 + a - 3 + (0 + 3 - 5)*(0*a + 2*a + 0*a) + 0 + a + 0 + 188 - 5*a - 188) as h + i*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/412 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 203.426 >= 3398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11882 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 894997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-8*q**4 - 2*q**4 - 8*q**4 + 1).\nAnswer: -18*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 10, 4*d - 24 = 3*b - 1. Suppose -f - l - 4 = -5, -f = -d*l + 2. Let t(x) = 4*x**2 + 2*x + 2. Let s be t(-1). Sort -1, s, f.\nAnswer: -1, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 672*x - 11302. Determine o(17).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + sqrt(108) + 3*-1*sqrt(108) + 2.\nAnswer: -12*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v*(v*v**(-2\/25))\/v*v)*v)\/v*v**12*(v**(-9)*v)\/((v*v\/v**3*v)\/v*v))**(-50) assuming v is positive.\nAnswer: v**(-204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 13277689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -99863, -199571, -299279?\n\"Answer: -99708*y - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhiiuiibiiuiihii. Give prob of picking 2 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v. Let b(c) = -c - 2. Let g be b(7). Let r be (-1)\/((-6)\/g + -1). Let w(o) = -5*o**2 + r - 3 + 3*o**2. Calculate w(n(j)).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4027, 4033, 4095, 4231, 4459, 4797?\n\"Answer: 3*o**3 + 10*o**2 - 45*o + 4059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let q(l) = -1. Let h(t) = g(t) + 2*q(t). Let c = 45 - 40. Determine h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*g + 0*g - 1 = 0, n = -2*g. Solve -2 = 3*r - n*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8180452 microseconds to nanoseconds.\nAnswer: 818.0452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2*2 + 866 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1113*v - 43405. Calculate n(39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773828.\nAnswer: 2, 3, 7, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyvy when four letters picked without replacement from yyvyyyyvyyy?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*l + 71, 2*l - 4*f - 14 = -2*f. Let v = l - 21\/2. Let r = -0.1 - -0.1. Is r not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69501775 and 875.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, t: 2, f: 8}. Give prob of picking 1 m, 1 t, and 2 f.\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 5620*v - 79464.\nAnswer: 4*(v - 14)*(v + 1419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47.773 + 48.073. Suppose 3 = -0*r + 3*r - 3*g, 2*r = -3*g - 18. Which is the closest to -1\/2? (a) r (b) v (c) 5 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/42 - ((-69)\/21 + -2). What are the prime factors of 2 + 43 + 0 - (5 - z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 4. Let l(c) = -8. Let x(j) = 9. Let f(v) = -5*l(v) - 4*x(v). Let y(n) = 1. Let o(s) = f(s) - 3*y(s). Calculate -h(k) + 2*o(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 428160\/624 + (-6)\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 290 - 126 = 0. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x**2 - 121\/2 + 11*x.\nAnswer: -(x - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2817 and 80.\nAnswer: -225360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 80.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -3 + -1 + 5. What are the prime factors of 4 - (0 + o)*-97?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 28 = p. Let x be p\/8*-2*1. Let q = 2.1 - 2. What is the nearest to x in -1\/3, 3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-6)*1*12\/192*(-36)\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 102*k**3 - 759*k**2 - 1836*k - 972.\nAnswer: -3*(k - 18)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 264642*c + 7145377. Give x(-27).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54 and 0.0017.\nAnswer: -53.9983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 14806 - 6*h - 44400 + 14797 + 14817 + 4*h.\nAnswer: 2*h + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11504 = -39*b + 43*b. Let y = 4094 + b. What are the prime factors of y?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 7 = -3*b, o - 5*b + 6 = -7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*v**6 - v**2 - 11 wrt v.\nAnswer: -7080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19 + 26 - 69 - 10*k**3 - 25 with respect to k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35792 - 20362. List the prime factors of y.\nAnswer: 2, 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*1*sqrt(304) - (sqrt(304) + -2 + 0))*-5 + 3)**2.\nAnswer: 360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g. Let o be z(-1). Let s = 1225 - 1182. Suppose o = 4*d + s - 111. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10813532?\nAnswer: 2, 67, 157, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 + 1048*i - 43*i**2 + 1926*i - 2974*i.\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 13*n**2 + 13*n + 20. Let g be q(14). Suppose -5*k + i = 0, 3*k - g*i = -i. Put 4, -2, -4, k in descending order.\nAnswer: 4, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 = 5*k, 2*y - 16 = -7*k + 4*k. Solve y*z = -3*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let i = -55 + 56. Which is smaller: 2\/145 or i?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2641597.8s?\nAnswer: 44026.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cju when three letters picked without replacement from {u: 1, c: 5, d: 1, j: 2, s: 3, q: 1}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 227 + 178. Let l(r) = 2283*r**2 + 176*r - 42 - 80*r - v*r. Let k be l(17). Round k to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 8*k**2 + 2 - 3*k - 2*k + 4*k. Let f be h(1). Suppose 2*g - 14 = -z - f, 2*g = 3*z + 11. Solve 3*m + 11 + 16 = g*y, -2*m + 2*y = 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*t, -63*t + 5*g - 10 = -63*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 + -89.2. Let m = c - 9. What is m rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15146?\nAnswer: 2, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -222.312805 and 10.0725.\nAnswer: -212.240305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -180*4\/5*(-3)\/2 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59376 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 10862*m - 16 = 10858*m, 0 = 11*a - 5*m + 38 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76157923?\nAnswer: 89, 149, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 131.\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + 13 - (-1 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.597 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7282899 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k - 6. Let s(u) = -u**2 + u - 1. Let d(x) = q(x) - 6*s(x). Suppose 5*p = 2*y + 3*y + 15, p + y + 5 = 0. Let z = p - 0. Determine d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -34.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8156 - -8162. Calculate the lowest common multiple of c and 408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180*l - 255*l - 156*l - 106*l)*(-2 + 3 + 2).\nAnswer: -1011*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8652 or -8664?\nAnswer: -8664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -5, -1\/157, 0.1, -2\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 139*h**2 - 337*h - 262. Give r(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -848268.605 + 848194.6050111. Let a = o - -74. Round a to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-40)*2)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2 (c) -4 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/56610 and 97\/6290.\nAnswer: 56610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:39 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 26 = 5*o, -2*o - 3*j + 2*j = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21524444251 - -4?\nAnswer: 21524444255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 6*r**3 - r**2 + 4*r**3 - 8 + 10*r**3 - 21*r**3. Let k be n(-4). Sort k, 3, -4, 4 in increasing order.\nAnswer: -4, 3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1660 divided by -10.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/((-1)\/(-313)). Suppose -5*h + 5*n = -120, -3*h + 18*n - 13*n = -82. Suppose k + h = 5*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - n)*(-4*n + 3*n - 6*n)*(-3*n - 3*n + 2*n + 2*n + n - n + (n - 1 + 1)*(4 + 0 - 2) - n + n - n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}