diff --git "a/data/dm_maths/full_data_2/10296_11255.jsonl" "b/data/dm_maths/full_data_2/10296_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10296_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k(i) be the first derivative of -5*i**4\/8 - 25*i**3\/6 - 15*i**2\/2 + 9. Suppose k(g) = 0. Calculate g.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (114 - 64)) + 60.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.96 less than 195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + 7*k - 10. Let s be f(11). Let n = s - 429. What is the greatest common divisor of 56 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18264)\/(-20))\/((-16)\/(-120)).\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -109*w - 2. Let x(j) = 25*j + 35. Let y(i) = 18*i + 25. Let g(p) = 5*x(p) - 7*y(p). What is g(d(k))?\nAnswer: 109*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, 3.4, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k**(-7)*(k**(-1)*k)**19 assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/336 + 5*k**4\/24 - 4*k**2. Find the second derivative of x(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.05883 + -0.21183. Round t to one decimal place.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378 = -5*k + 127. Suppose 4*y + k = c, 3*c + 14*y - 17*y = 903. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.4 - -8. Let l = 31.6 - v. Let m = -30.87 + l. What is m rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.9774319 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53849267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:56 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2508 = 15*q - 31392. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -33 (b) 0.2172 (c) -0.0967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmowk. What is prob of picking 1 m and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832042456?\nAnswer: 2, 7, 14857901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197684.3 kilograms to grams.\nAnswer: 197684300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3242 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105 - 110) + (4 - 0) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -443 + 279. Which is greater: z or -165?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-3)\/g)*g**(3\/34))**(1\/2) assuming g is positive.\nAnswer: g**(173\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.0216549?\nAnswer: -0.00649647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29.1 and 103797492.\nAnswer: 103797521.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 4*l**2 + 11*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 + 18*d**2 - 6*d - 156. Determine g(-6).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -715065600*m*v - 122631*m + 2006 wrt v?\nAnswer: -715065600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9979285\/714 + 41929\/3. Find the common denominator of f and -93\/140.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 + f + 1. Suppose -19*h - 21 = -22*h. Let m(c) = c + 2. Let g be m(5). Suppose h = -2*t - 4*l - g, -2*t + 7 = -3*l. Calculate p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 18829.\nAnswer: 188290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 + 275 = 57*k + 879 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 3*l + 4. Let f(x) = -x**2 + 5*x + 8. Let c(i) = 6*f(i) - 10*t(i). Let r(p) = 1. Let j(m) = -c(m) + 8*r(m). Let g(b) = 3*b. What is g(j(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 5*u**2. Let r be x(5). List the prime factors of ((-1)\/(-3) + r)*18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -22. Suppose -8*y + 9*y - 5*c - 17 = 0, 0 = 4*y - 5*c - 113. Let s = y - d. Solve -s = 4*i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 25.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/12)*q**(-1\/2))**(-22) assuming q is positive.\nAnswer: q**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(66) + sqrt(66) + sqrt(66)*2 + sqrt(66) + sqrt(66))*-1 - 2*sqrt(66)*5))\/(3*sqrt(96) + -5*sqrt(96)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -8*r**5\/15 + 11*r**4\/4 + 29*r**3\/6 - r**2 + 6462*r. Find the second derivative of c(s) wrt s.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/4, 5, 27, -2\/23, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*t - 2*t + 18, 3 = t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 5*a = 13*j - 12573, -2*a - 9421 = -3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2. Let x(g) = 42954*g. Give x(l(h)).\nAnswer: 214770*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 414173179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43639, 43637, 43635, 43633, 43631, 43629?\nAnswer: 43627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5349 - -10075. Is 34 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1793 + 1824. Is g >= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22770)\/(-10626)*(-7)\/36?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -4\/7, 2\/19, -10733, 0.2, 4\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 6 + 19. Let t = z - -10. Solve -5*l + 12 = -y, 5*y + l + 18 = t*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from okxkxkkoooooxook?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.186540254 to five dps.\nAnswer: -0.18654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1000*x**2*z**2 - 116*x**2 + x*z**2 + z**2 + 133182*z + 2 wrt x?\nAnswer: -2000*x*z**2 - 232*x + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 110 = 2*d, d + 106 = 3*d + 2*v. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 375*x**2 + 374*x**2 + 3*x - 747*x**2 - 4 - 49289*x**3. Let w be i(2). Let a = 556302 + w. What is a rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*w + 37*w**2 - 29*w**2 - 2*w**3 - w**3 - w**3.\nAnswer: -4*w*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3250790 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1360\/408)\/(5\/3). Calculate the highest common factor of s and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 1, -5225, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.664 + -3.734. Which is the closest to 0? (a) -3\/2 (b) 5 (c) 1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(500)*-2 + 3)**2 + -4*(2*sqrt(5) + -4 + sqrt(5)).\nAnswer: -132*sqrt(5) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 24 = -2*o, -3*o + s + 22 + 4 = 0. Let w be (-2)\/o + 10\/35. Let g = 4 - w. Solve 4*i = g*j - 32, -8*i - 4 = 4*j - 3*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n + 15*n + 25*n + 12*n - 47*n. Let k(w) = -10*w**2. Give j(k(g)).\nAnswer: -160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 29*g + 100. List the prime factors of u(44).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 4. Let z be b(2). Let v be 100\/z + 2\/6. Let u = -15 + v. Solve 5*n = 5*s, 0 = s - u*s - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.59204424 to 4 decimal places.\nAnswer: 1.592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((2\/6)\/((-580)\/(-783)))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -3 - (2 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 8. Let z be (-4)\/p + (-6)\/(-10). Suppose 4*c = -2*u + 22, 0 = u + 3*c - 16. Calculate the highest common divisor of z and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 8*o**2 + 4*o - 2. Calculate the remainder when m(-5) is divided by (6 + -3)\/(3\/14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(392)*-2)\/(sqrt(484)*1).\nAnswer: -13*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1. Let t(b) = 0 + 3 + 10*b - 7 - 11*b. Let w(h) = t(h) + 4*v(h). Let s(p) = 5*p + 2. Determine s(o) + 3*w(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = -6038 + 6148 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)*u)**(-16\/11))**31*u\/(u*u\/(u*((u*u**4)\/u)\/u))*(u\/(u*u**3))\/u*(u\/(u\/(u**1*u)))**(-43) assuming u is positive.\nAnswer: u**(-6273\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (585\/468)\/(2\/(-24)*-25)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - 2*o. Let i = -3 + 5. Let w = i + 0. Solve 6*s - w*s = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 0, -2*x + 4*g + 13 = -11. Suppose 0 = 179*s - 172*s - 7. Let m = 131 + -134. Sort m, s, x.\nAnswer: m, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -22, -3\/4, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d = 119*d - 1422. Suppose 0 = -4*t, 2*c - 2 = c + 5*t. Suppose -43 = -h - c. What is the least common multiple of h and d?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 36543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213307 - 130114. What are the prime factors of d?\nAnswer: 3, 11, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56, -70, -106, -176, -292, -466, -710, -1036?\n\"Answer: -2*s**3 + s**2 - 3*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (2 - 2) - (0 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = -20. Sort l, -1, -5 in descending order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20100 (base 5) to base 12\nAnswer: -8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776 + 0.8.\nAnswer: -775.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/75 - 168\/(-5). Suppose 4*m - b = 98. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3563*m - 3544*m = 820971. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -62 - (-3537 - -3574)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.827 - -23.827. Let h = -2044\/11 - -186. Which is the third smallest value? (a) q (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 25. Determine g(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:18 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8726974708 to the nearest integer?\nAnswer: 93418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157 - -64. Is 1 - 2 - u - 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Solve 1 = -c*i + 6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214 + 112 + 559*m + 5*m**2 - 3*m**2 - 194 + 272*m wrt m?\nAnswer: 4*m + 831","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 265*n**2 + 14*n - 2. Let u(q) = 265*q**2 + 9*q - 1. Give 2*l(a) - 3*u(a).\nAnswer: -265*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10*v - 5*v = 12, 0 = 2*v - 2. Suppose -1040 = i*g - 17*g. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1 - 205984.6?\nAnswer: -205968.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*t - 15. Let y = 15 + t. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 13*t**5\/30 + t**4\/12 - 3*t**3\/2 - 6*t**2 + 4*t. Find the second derivative of c(w) wrt w.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 769 - 763. Sort j, -2\/3, -0.5 in descending order.\nAnswer: j, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-351)\/15 - 6\/(-15). Let d = r + 32. Suppose -4*z = d - 25. Solve -4*o - n + z = 0, 5*n + 26 = -0*o + 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*8 - 13\/13. Let a be v + (-3 - -3) + -3. Let m = 46 + a. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.2, 0.06, 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 2, l: 7, r: 4, g: 1, d: 4}. Give prob of picking 1 l and 1 g.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3649 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -35*d + 9. Let l(b) = 70*b - 19. Let p(j) = -4*l(j) - 9*o(j). List the prime factors of p(6).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 2\/71, 1?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34518747793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 1. Let q be d(-1). Let w = 1 + q. Let p be -1 + w + (2 - -6498). Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4419 and 67\/164976.\nAnswer: 494928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j + 0 + 11\/6*j**3 + 4*j**2. Differentiate y(g) wrt g.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let o be y(-8). Let s = o - 4. What is the highest common factor of s and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 8 + 0*v + 1\/5*v**3 + 3\/10*v**2. Factor b(c).\nAnswer: 3*c*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2705 + -1456. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvyvxvyvyxy. Give prob of sequence yyyy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(196) + (-2*sqrt(196) - sqrt(196))))**2.\nAnswer: 13\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from vadgdavvvggvavvvv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(28) - (sqrt(7) + -1 + -4 + sqrt(7)).\nAnswer: -14*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 2*p - 437. Let n(q) = -4*q**2 - 3*q - 873. Give -7*l(v) + 3*n(v).\nAnswer: 2*v**2 + 5*v + 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10384 - 66*k**2 + 10357 + 24*k**3 + 88*k - 16*k - 3*k**4.\nAnswer: -3*(k - 3)**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582779464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**27\/b**(1\/2))\/((((b\/((b*(b**(-26)\/b)\/b*b)\/b*b))\/b*b)\/b)\/b**28) assuming b is positive.\nAnswer: b**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - g**3 + (-4*g**2 + 6*g**2 - 3*g**2)*(2 + 1 - 6)*(g - 3*g + 3*g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = 8*s - 5*l, 3 + 51 + 26 = 3*s - 8269*l + 8267*l for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 55*s + 288 = j - 0*j + 52*s, 0 = s - 4 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 994, 991, 976, 943, 886, 799, 676, 511?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 53 - 647605*w + 647571*w to the form j + q*w and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 21 - 5*h + 18 - 12 - 13*h. Let v be s(-5). What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/6)\/((-1)\/(-8)). Let r = -2348.7 - -2353. What is the biggest value in r, -0.5, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 40.8, -2, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134520050*w**3 - 6852345*w**2 wrt w.\nAnswer: 807120300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330407 and 10026841?\nAnswer: 6743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 700.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, 20 in increasing order.\nAnswer: -1, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*13 + (-2)\/3*(17 + -2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = 3*w - 52, w = -3*u + 61. Suppose -x = 2*q - u, -4 = -4*q + 5*x - 1. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*((v**12*v)\/v)\/v*v*v*v*(v*v**(-8)\/v)\/v*v*v assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d - 23. Let k be u(-9). Find the second derivative of 57*c**k - 5*c - 54*c**4 + 43*c + 21*c**4 wrt c.\nAnswer: 288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1662.9 + -1663. Let v = 7 + -8. What is the smallest value in d, 2\/3, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 214?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 233*b**2 + 8*b + 15. Let r be u(-7). Suppose 1269 + r = 5*q. Suppose 3*j = -4*k + q, 5*k - 2*j - 3160 = -7*j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 10 = 0. Suppose -x*y = 2*y - 4*p + 2400012, 2*p - 6 = 0. What is y rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315\/2380*1302\/93?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.067 - 5.067. Let b = -1.77 + -0.03. Let c = b - -2. What is the closest to 1\/3 in h, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55965016 and 58867?\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -61, 1, 4 in descending order.\nAnswer: 7, 4, 1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 442272.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2 - 2 + 4 - 2*y - 2. Let x be j(-1). Suppose -3*n + 128 = x*u, -3*u - 3*n - 23 = -119. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(1\/(2 - 1)). Let c be (-603)\/(-21) + (-10)\/(-35). Suppose -b + 0*s = 5*s - c, -4*b - s + 21 = 0. Solve -b*f = -k - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 2*u + 4. Let a be j(4). Let q(w) = w**3 - 3*w**2 + w**2 + 6*w**2. Let r be q(a). Solve -t + 1 - 5 = r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 2*r**3\/3 - 103*r. Let z(a) = -28*a + 1. Let t(u) = 5*m(u) + z(u). Give t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.46 and 8523.\nAnswer: 97673.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 259.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2915704 take away -146?\nAnswer: -2915558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l**2 + 9*l + 19. Let h(j) = 13*j**2 - 7*j - 16. Calculate -6*h(q) - 5*p(q).\nAnswer: -13*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l - 1. Let q = 16 - 19. Suppose 2*s + 21 = -5*h, 3*h - h + 10 = 0. Let u(p) = 4 + 3*p - 29*p + s*p. Determine q*u(b) - 14*i(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 923 - 181. What is the greatest common factor of 46 and q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nccncndcccncnno. What is prob of sequence cn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-57)\/(-133) - (-92)\/(-84). What is the smallest value in -16, r, 3\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 473193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 90 = 9*t. Suppose 3*z + 149 = -3*f + 734, 5*z - 5*f - 975 = 0. Calculate the highest common divisor of t and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c + 5. Let z be l(9). Suppose -69 = -2*x - 5*w, -3*w + 4 = 3*x - z. Calculate the remainder when 63 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256459399 and 714.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/1080)\/(5 + (-426)\/108).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 703735 and 3.\nAnswer: 2111205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5002 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 6*k. Let f(v) = -v**2 + v. Let l = -4 + 2. Let z = 1 + l. Let n(b) = z*a(b) - 4*f(b). What is the second derivative of n(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (644\/1288)\/((20\/6)\/(16\/30))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/3 - 3545*w\/3 - 131330.\nAnswer: -5*(w + 138)*(w + 571)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*t + 468*t - 141*t - t**3 - 175*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -x - 43*x + 29. Which is the fifth biggest value? (a) -5 (b) x (c) -4 (d) 3\/4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 4*o + (2*o - 3*o - o)*(0 - 2 + 1))*(15 + 30*o**3 - 15 + (-3 - 2*o + 3)*(6*o**2 - 3*o**2 - 2*o**2)).\nAnswer: 140*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -14.491.\nAnswer: -72.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11218, -44971, -101252, -180055, -281374, -405203, -551536?\nAnswer: -720367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*h + 5*h + 12*h)*(24*h + 2 - 2) as i*h + n + l*h**2 and give l.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144 or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2438 - 1586. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/2)\/((821\/(-16420))\/((-2)\/60))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19613, -19323, -19033, -18743, -18453?\n\"Answer: 290*b - 19903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23218, 44777, 64674, 82909, 99482?\n\"Answer: -831*l**2 + 24052*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273*t**2 + 2*t**3 + 192*t**2 + 177*t**2 + 102 wrt t?\nAnswer: 6*t**2 + 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 26. Let v be w(16). Let c(l) = l**3 + 11*l**2 + 9*l - 12. Let s be c(v). Let n(g) = -2*g**3 - g. Let a(j) = -j. Calculate s*a(t) - n(t).\nAnswer: 2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2 + 7 + 35*j**3 + 7*j + 31. Let v(s) = 17*s**3 + 12 + 4*s - 5*s + 6 + 5*s. Let a(d) = 7*v(d) - 4*y(d). What is the derivative of a(k) wrt k?\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 7 (c) -33 (d) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 120 = 133. Which is the nearest to 2? (a) t (b) -3 (c) -0.1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609943919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 550 = -2*v, v - 51 = -5*l + 227. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -667980072374 + -8\nAnswer: -667980072382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/105840 and -16\/13635.\nAnswer: 10689840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**5\/5 + n**4 + n**3 - 2*n**2 - 4*n - 358. Solve i(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85679547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 16*s - 10. What is the tens digit of d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 49*n**2 - 172*n + 1608. What is d(46)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4665576926?\nAnswer: 2, 277, 8421619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + (-1 + -1*sqrt(17) - (sqrt(17)*-3 + -5 + sqrt(17)))))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-363)\/(-110))\/33)\/((52\/(-72))\/(-13))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 4, v: 3, x: 1, y: 2}. What is prob of sequence ugx?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**5 + 177880*b**4 - 1422635*b**3 - 3024300*b**2 + 36280260*b - 32011200 = 0.\nAnswer: -5, 1, 6, 35568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 285310857 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3 - l**3 - l**2 + 3*l + 4*l**2 + 0. Suppose -3*n + 5 = 2*n. Suppose -z - n = -5. Give d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let q(r) be the third derivative of -r**5\/60 - r**3 + 115*r**2 + 2*r. Calculate 6*k(m) - q(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwwwmumw. Give prob of sequence wu.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1232.22189316 - -1231.7219. Let f = r - -0.5. Round f to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 33*l - 40 = 0. Let v(n) = -212366*n + 72. Let w be v(l). What is w rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215\/(-10)*(0 - 40).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10665938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*q - 138501 = 886*q + 215*q for q.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 16 = -2*f - 4*g, 5*g - 22 = f. Let y = f - -12. Solve 2*c + 3*c + 20 = y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Suppose -3*d + 5*n + 127 = s, 3*d - 2*n - 122 = 2*n. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, v: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*k - 135*k = -35*k - 1194 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(0 - (-4 + 3)). Let n(t) = -10*t - 17. Let l be n(-2). Solve 4 = -3*s - h, 3*h = l*s - c - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w - 26. Let r be o(3). Suppose r*z + 0 - 52 = 0. Let j(q) = -3*q - 3. Let f be j(-6). Solve z*a = -a + f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348321*i + 348236*i = 6885 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 4*n)*(2 + 1 - 5)*(-n - n + n)*(0 - 1 - 1 + 2*n)*(2 - 1 - 4).\nAnswer: 48*n**3 - 48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9*9\/(-12). Let s be (-12)\/(-4) + 0 + 772\/10. Let v = s - 82. Is x smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1085630 - -289882. Let w = 35512 - c. Round w to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*k + 20. Let s = k + -13. Let f(b) = b**2 + 8*b + 8. Calculate the remainder when f(s) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c - 7*c + 325 = 0. Suppose -8*y + 19908 = c*y. List the prime factors of y.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 16. Let w be (u\/(-6))\/((-6)\/45). Find the third derivative of -5*r**2 - 24*r**w - r**3 + r**3 + 28*r**5 wrt r.\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 4*z**2 - 3. Let x(a) = 11*a**2 - 5*a - 1. Let w(o) = -5*o**2 + 2*o. Let n(p) = 5*w(p) + 2*x(p). What is 2*f(d) - 3*n(d)?\nAnswer: -2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10698.\nAnswer: 2, 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/12*28 + 3\/(-1). Let n = -15 - y. Let p be 234\/104 - (n + 0 + 0). What is the nearest to 0.1 in 4, p, 5\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2962, -5, -69\/4?\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-140)\/12) + (-667378)\/(-120). Let v = w - 5559. Calculate the common denominator of v and 61\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) - (4 + 2 + sqrt(468))) + 2*sqrt(468)*-3)*-6*3)**2.\nAnswer: 139968*sqrt(13) + 5470416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + (sqrt(147) - -1*sqrt(147)) + 6*sqrt(147)*-2)**2.\nAnswer: -420*sqrt(3) + 14709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 + -677 + 1 + -2 + 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 3, p: 5, r: 1, a: 1, v: 2}. What is prob of sequence vrss?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1903476*w**2 + 1408958*w wrt w.\nAnswer: -3806952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67166*o**3 - 8*o**2 - 20*o - 2 wrt o?\nAnswer: -402996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**4*u*w + 59*t**3*u*w**2 + t + 37*u*w**2 - 26*u*w wrt t?\nAnswer: 36*t**2*u*w + 354*t*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66479753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {p: 3, z: 3, g: 2, t: 7, q: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -200 - 31. Is z at least 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = m - 404. Sort 1, m, -4 in increasing order.\nAnswer: -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 11558 = 5*o, -35*r + 31*r + 4*o = 23200. Which is smaller: -5793 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8780.40453 to 0 decimal places.\nAnswer: 8780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*q - 8, 4*q - 3 - 2 = 3*c. Suppose 6 = -y + 3. Put 2\/9, y, c in decreasing order.\nAnswer: c, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -11\/2*w - 5\/2*w**3 + 7\/4 + 6*w**2 + 1\/4*w**4 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1854*-1.01.\nAnswer: -0.187254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -15*y**3 + 15\/4*y**4 - 30*y**2 - 12*y + 12\/5*y**5 - 43. Solve i(s) = 0 for s.\nAnswer: -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-2149)\/(-2))\/(-7). Suppose -3*j + 89 = -k. Suppose j = -3*i + 603. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m + 5*k, -5*m + 4*m = -2*k - 10. List the prime factors of (2 - 4) + (m - -39).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4524 and 2028.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*((m - 2*m - m)*(5 - 4 - 3) + m + 0*m + 2*m).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**30*s**0\/(s\/(s*s**4*s)))\/(s*s**(-3)\/s*s*s\/(s*((s\/(s**(-1\/3)*s*s*s)*s)\/s)\/s))**23 assuming s is positive.\nAnswer: s**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 17208.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 - 3*p**2 + 11*p - 1. What is u(-2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 4 - 8\/(-2). Let k = 8 - z. Solve 5*a = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 + 4*w**2 - 2*w + 4. Let a(f) = 9*f**3 - 9*f**2 + 5*f - 9. Give -2*a(p) - 5*q(p).\nAnswer: 2*p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**3 - 1427*w**2 + 7*w**3 + 1381*w**2 wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5580000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -177502*f + 177515*f + 152, 3*b + 80 = -5*f for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707 times -2?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -833 + 833.00000378. What is w rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/63*6*(-3)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 137 + 0*l - 137.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -5*r + 3*r + 2*g, -4*r = 3*g - 757. Let y = r - 104. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40811 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6. Let d = 3 - 0. Let q(r) = -r**2 - 2. Let o be q(0). Let v(g) = -g**2 - g + 7. Let w(p) = d*m(p) + o*v(p). Determine w(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 299 - 271. Let m be -2 + (-27)\/6*x\/(-21). Solve -2*j - m*j = -12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -26. Suppose -6*b + 8 = -2*b. Solve 0 = -3*n + x - 4, x = -2*n + w*n + b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 8*i + 5*j = 2216, -4*i - 5*j = -2953. Let h = i - 734. Solve h*l + 22 - 7 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 11 - 1\/2*d**2 - 19*d. Let i be k(-19). Solve -5*q = i, 0*b = b + q + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -197894*b**2*u**3*y + 2*b**2*u - 2724*b**2*y + b*u**2*y + 2*y wrt u.\nAnswer: -1187364*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633552 divided by 1072.\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13515 - 26995 + 13480 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 3, p: 3, l: 9}. What is prob of picking 2 j and 1 k?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p + 14. Let a(v) = v**2 - v - 2. Let c be a(2). Let l be x(c). Suppose -o + 43 = -l. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 3291\/(-6)*-2. Let g = 244 - h. Round g to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -2*3\/6. Suppose -4*g + 0*g = h. Let u be (-3)\/2*(g + -2). Let y(n) = -n**2 + 3*n + 1. What is y(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {o: 18, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.966238 and 49.5.\nAnswer: 37.533762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1212241708 from -0.1.\nAnswer: -1212241708.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24283547.6 + 3044788001.4. Let h = 3069071572.00000107 - t. Let i = h + -23. Round i to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73\/45153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -5 (c) -1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 6*r - 13. Let o be s(-4). Does 34 divide (243\/36)\/(o\/(-1736))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33626, 30794, 27962, 25130, 22298?\nAnswer: 19466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 233900?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Suppose 2*m - 191 = -2*n + 121, -3*n + 790 = i*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + -0.34. Suppose f = -m + 5, -4*f + m = -m - 8. What is the nearest to 1\/3 in 1\/3, v, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 minutes before 3:40 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 24250963667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2736) + -1)**2 - sqrt(2736)).\nAnswer: -216*sqrt(19) + 16422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4764*j - 6370 = 4309*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1 in descending order.\nAnswer: 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 2*k + 8, -3*h + 2 = 3*k - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 0 + 0)*(-1 + 34*k - 26*k + 16*k) + 3 + 3 - 5 + k**2.\nAnswer: 49*k**2 - 26*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpkzpkkzzkxppzk. What is prob of sequence pzzz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04787 to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1375088\/483 or 2846?\nAnswer: 2846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/10)\/(y\/(y*y**32*y))*(y\/y**(2\/73))**(3\/10) assuming y is positive.\nAnswer: y**(12042\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*p)*(-2*p**3 + 2*p**3 + 3*p**3) + 4*p**2 - 155*p**3 + 154*p**3 - 137*p**4 + 266*p**4 - 3 to o*p**2 + n*p + m*p**3 + j*p**4 + q and give j.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 16 = 8*o. What is the remainder when 15 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*x - 2*x**2 + 96*x**3 - 26*x - 7*x wrt x.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -17, 12, 41, 70, 99?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*b = 3715, -61*z - 719 = -62*z - 3*b. Is 739 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.40415 - -76300362\nAnswer: 76300364.40415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*n + 0*n - 123*n**3 + 117*n**3 in the form p*n**3 + x*n + c + r*n**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230707 is divided by 840.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.471 to the nearest integer.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 335*u - 6 - 362*u + 5*u**3 - u + 10*u - 3*u**3 to n + h*u + j*u**2 + f*u**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - (-165)\/35. Suppose -5*m + 4*t = -31, c*m = 4*t - 5*t + 11. Suppose 0*b - m*b = -42. Calculate the remainder when 26 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.42 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8195 - -19?\nAnswer: -8176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = -w - 0, 4*s = -2*w - 2. Sort -31, 1, w, -3 in descending order.\nAnswer: w, 1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = -19. Which is bigger: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24918*u = -24837*u - 2025 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 27 (c) 9\/4 (d) -1\/12 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123295 is divided by 476?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1146, 2, -2 in ascending order.\nAnswer: -1146, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y**2 - y**2 + 3*y**2)*(11 - 11 - 8*y) + 0*y**3 + 0*y**3 - 4*y**3 as v*y**2 + f*y**3 + x*y + l and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x. Let r(w) = -5122*w**2. Calculate u(r(h)).\nAnswer: 26234884*h**4 - 5122*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 - 205976\nAnswer: -205974.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 0*d + 2*d + 0*d + 0*d + 2*d - 2 + d + 2 + (2*d - 3*d + 2*d)*(-1 + 1 + 1) + (4*d - d - 2*d)*(0 - 2 + 1) - 2*d - 2*d + 6*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -30203*z**2 + 7*z - 4. Let c be 1 + -4 - (-2 + -3). Let t(x) = -5*x + 3. Let b be t(c). Let o be j(b). Round o to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598 = 2*l - 802. Suppose 3*c - 4*b = 4*c - 130, 5*c - l = 5*b. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40 - 40)\/((-11)\/(-1)). Let -4\/7*x**3 + 6\/7*x**4 + u*x - 2\/7*x**5 + 0*x**2 + 0 = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, -17, 4 in descending order.\nAnswer: 4, 3, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/102 - (-160)\/(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 32 - 4. Suppose -n*r = -2*r - 50. Solve a - 1 = -3*q - 6, 0 = q + 5*a + r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 11*p + 93 + 69 - 375 - 10 as y + i*p and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 6, 3*g = 2*k - k - 8. Suppose 0 = -5*v + 2*q + 130, 3*v + q - 113 + 46 = 0. Let j = v - k. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 43 + 7*o + 85.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235 * 0.2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k - 2. Let p(d) = -5*d - 1. Suppose 4*u - 18 = h, -27 = 2*h + 2*u - u. Let z = h + 20. Give z*a(c) - 13*p(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -118230, -236461, -354692, -472923, -591154, -709385?\n\"Answer: -118231*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13430 <= -13449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 671563927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.061727 + 8.061646. Let f = c - -5. What is f rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-28) - 4\/14. Let c be 2\/(8\/292) - k. Suppose 4*d - 5*o = c, -d - 4*o + 13 = -0*d. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61\/2 + -9. Let k = 23 - y. What is the third smallest value in 1\/6, k, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 15, 4*c = 2*a - 55 - 7. Let i be (-6)\/15 + 2468\/20. Calculate the highest common factor of i and a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-2*t - t + 6*t)*(3 - 2 - 5)*(1 + 3 - 2)*(-1 + 1 - 1 + (3 - 2 + 1)*(2 - 2 + 1) + 2 - 2 + 1 - 6 - 7 + 5 - 1 + 7 - 4).\nAnswer: 96*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from jddddddj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -55, -152, -289, -466, -683, -940?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.04 + -0.04. Let p = -31.99 + w. Which is the closest to -1? (a) p (b) -1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6660, -26006, -58024, -102708, -160052?\n\"Answer: s**3 - 6342*s**2 - 327*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 55307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -59227680 divided by 3?\nAnswer: -19742560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19794 - -29015. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 164010, 164828, 166190, 168096, 170546, 173540, 177078?\n\"Answer: 272*m**2 + 2*m + 163736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*(-3360)\/(-180)*6\/14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-3 - (-4 + -4)). Let j(k) = -k**3 + 30*k**2 - 29*k. Let u be j(29). Solve u = 10*b - h*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(2\/9)\/f*f*f*f*f)*f)**(-5\/4)\/((f\/(f\/(f**(2\/3)\/f*f)))\/((f\/((f*f**(-6))\/f))\/f)))**(-1\/8) assuming f is positive.\nAnswer: f**(-73\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40771094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -0.70164039.\nAnswer: -1.29835961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 257160399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(4 - a - 4)*(-6 + 7 + 6)*(2*a**2 + 9*a**2 - 3*a**2 + (8*a - 10*a + 6*a)*(0*a - 3*a + 2*a)) to j*a**2 + y*a**3 + o*a + r and give y.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - z = -148, -4*z = -5*p + 89 + 44. Suppose 5*m + 360 = p*m. Solve -b - m = -11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*o = -2, 0 = n - 2*n - 2*o + 2. Solve 17 = f + 5*y, n*f - 2 = 2*f + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871 divided by 13772.\nAnswer: -871\/13772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*a - 5*v, 0 = -3*a - 5*v + 50 + 7. Calculate the remainder when 38 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i**5\/7 - 1356*i**4\/7 + 41000*i**3 + 3880176*i**2 + 50827040*i\/7 - 212572800\/7 = 0. Calculate i.\nAnswer: -110, -4, 2, 549\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0*g + 0*g**2 + 70\/3*g**3 - 20*g**4 - 221. Find the third derivative of m(v) wrt v.\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-220))\/((-52)\/(-4576))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/66)\/(3\/(-66)). Let o = 3.45 + -1.45. Let s = 0.5 - 1. Which is the smallest value? (a) k (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1091 + 146160781.\nAnswer: 146161872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 + 8 + (2 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-80944)\/(-12) + 4)*(-6)\/(-4). Let d = 4064 + u. Suppose -2*k - 5*n = -d + 88183, 5*k = -4*n - 184996. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122250 or -122246?\nAnswer: -122246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 33*v. Let x(d) = 3*d + 2. Let l(s) = -2*s + 1. Let p(r) = 2*l(r) - x(r). Calculate p(b(o)).\nAnswer: -231*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 8, -3, 0, 3 in descending order.\nAnswer: 29, 8, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(4\/(0 - -2)). Suppose -c + 4*x + 48 = n, 11 = -2*x + 1. Let m = -56221 - -56225. What is the greatest common divisor of c and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-70)\/(-3))\/((-5)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*n - 224 - 183 - 978 = 449 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/28*(-10)\/75*6\/(-2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let d = -30 + 34. Solve -s*p + 2*p - d = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-3\/4)*j*j)*j*j**(-1\/2)*(j*j**(2\/3))**(-37))**48 assuming j is positive.\nAnswer: j**(-2948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Let q = 13 - s. Suppose 32 - q = 4*i. Calculate the smallest common multiple of i and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tvvt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 1534.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1424 - 2454. Let k = u + 502. Let b be 1*3\/15 - k\/60. Solve -b = -5*d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -230593, -461140, -691687, -922234, -1152781, -1383328?\n\"Answer: -230547*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3 (b) -2\/13 (c) 14 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -99*v**4\/4 + 7*v**3\/3 + 659*v**2\/2 - 1612. What is the second derivative of c(m) wrt m?\nAnswer: -594*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43357, -43360, -43365, -43372, -43381?\n\"Answer: -r**2 - 43356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h, -3*l + 1337 - 11 = 3*h. Let w = 446 - l. Calculate the remainder when 25 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 220*u**2 - 3*u - 57*u**3 + 220*u**2 + 2*u wrt u?\nAnswer: -342*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 + u**2)*(-2 + 7 - 3)*(-1551*u - 868*u - 172*u).\nAnswer: -5182*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 + 4*g**4 - 3*g**4 + 991*g**4 - 157*g**4 - 25*g**4 + (-5*g**2 + 2*g**2 + 2*g**2)*(2*g**2 + 0*g**2 + 0*g**2).\nAnswer: 809*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {p: 7, o: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.32551*-0.22.\nAnswer: -12.6116122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -2*d**3 + 3*d**2 + 0*d + 0 + 1\/24*d**4. Determine p(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42095558 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**6\/720 - q**5\/360 - q**4\/72 + 9*q**2\/2 - 2*q - 2. Let a(z) be the second derivative of l(z). Find d, given that a(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*4\/8*4. Let s(z) = 19*z**2 + 2*z - 2. Let a be s(m). Let k = -40 + a. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*i**3*p**3*s - i**3*p**2*s + 4*i**3*s + 2*i*p*s**2 + p**4*s + 4*p**3*s**2 + 41 wrt p?\nAnswer: 330*i**3*s + 24*p*s + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 77\/2 of a minute?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.217925 + 0.218. Round n to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13255 - -1634?\nAnswer: -11321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, q: 3, z: 5, f: 4, x: 1, i: 6}. Give prob of sequence ffx.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -422 + 429. Suppose 3*o - 3 = 0, 6 - v = -2*q - o. Solve 2*b - 5*b = -i - 7, 4*b + i = q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5218 + -5218.0019339. What is o rounded to five decimal places?\nAnswer: -0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45617863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 177644143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05303 + 0.053034418. Round n to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637305993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -41*t**6\/120 + t**5\/15 - 4*t**3\/3 - 16*t**2. What is the third derivative of q(g) wrt g?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102367\/14748 - 30\/1229. Find the common denominator of -95\/2 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 + 706 = 3*d. Suppose -5*p - d = -9*p. Calculate the smallest common multiple of 40 and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47419 + 70776. List the prime factors of i.\nAnswer: 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1) - (2 + -15 + -2). Solve 2*x = -a - 4*a - u, -5*a = 5*x + 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*b - 2*b. Suppose -3*w - 9 = -0*w. Let c be 20 + b - (0 + w). Calculate the greatest common factor of c and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8266212 by 324.\nAnswer: 25513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4219322703?\nAnswer: 3, 853, 1648817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 9) in base 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2) + 9 + -5. Let q be 63\/(-1) + (0 - s). Let p = -17 - q. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 - 252348*w**2 + 252177*w + 14131320 = 0. What is w?\nAnswer: -7, 8, 84115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/5 of a century in months?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 51336.96 hours to seconds.\nAnswer: 184813056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -35442 smaller than -34398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -3*m**2\/2 + 13*m - 2. Does 10 divide h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798.728 years to months.\nAnswer: 9584.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 2. Suppose -u*v = -0*v - 22. Suppose 0 = 3*l + 4*t - 35, t + 1 = -l + v. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -57, -69, -61, -27?\n\"Answer: q**3 + q**2 - 36*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 50*f**2 + 91*f - 93. Let y be n(-77). Round y to the nearest 1000.\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/4 + c**3\/2 + 7*c**2. Let r(m) = -11*m - 6. Determine 7*o(s) + 4*r(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.846968017 - -1?\nAnswer: -10.846968017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7185\/(-3832))\/(65\/(-4))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - w - w)*(-3*w**2 + 2*w**4 + 3*w**2).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(180) - ((sqrt(180) + 2)*-4 + sqrt(180)))*-6)**2.\nAnswer: 13824*sqrt(5) + 105982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 160\/4*1\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 83633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 2*g**2 - g + 3. Calculate o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900 a factor of 41898800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (463\/(-5))\/((-10620)\/50). Let g = -1\/118 - c. Put -4, g, 4 in descending order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*m - 72*m**3 - 377*m.\nAnswer: -72*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.8 + -18. Let q be (-26)\/4 + 3\/6. Which is the biggest value? (a) q (b) 1\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4428, -4442, -4458, -4476, -4496?\n\"Answer: -b**2 - 11*b - 4416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**3 - 2*y**2 + 1. Let r be d(-1). Suppose 0 = -r*u + 2*v + 18, -v + 23 = 5*u + 2*v. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 14. Suppose -39 = -6*b + 2*b + 5*a, -b + l = -a. Let u(d) = 4*d**3 - 5*d**3 - 499 + 6*d**2 + 493. Give u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 q when four letters picked without replacement from qrnqqnnq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/6)\/(t*t**(-6)\/t))**40)**(-16) assuming t is positive.\nAnswer: t**(-11200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/246 and -17\/10250.\nAnswer: 30750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l. Let q(p) = -2*p**2 - 95*p - 9. Determine q(a(f)).\nAnswer: -162*f**2 - 855*f - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 2057 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 - 84. Let q(m) = -5*m + 2. Calculate the remainder when r is divided by q(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 - 3 = 23*r - 3. Let g(f) = f**3 - 7*f**2 + 6*f + 37. Give g(r).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 8 + 21 - 13 + 5*c**2.\nAnswer: 5*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1545*o - 39. Let n(i) = -i**2 - 98. Calculate y(n(r)).\nAnswer: -1545*r**2 - 151449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22071.64 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 21.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1561*n - 4677*n + 1554*n + 1564*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 93 = -k. Let a = 91 - k. Find y, given that 0 - 1\/4*y**a + 3\/4*y = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - (-754)\/(-1160)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 154612327 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)\/(t*t\/t**(-2\/17)*t)*(t**(2\/9)\/t)**(-37)*((t\/(t\/(t\/t**1*t)*t*t))**26)**21 assuming t is positive.\nAnswer: t**(-80683\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3126251 >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 231*p**2 - 1191*p - 75. What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17151510 to the nearest integer?\nAnswer: 4141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3510)\/675)\/(-3*(-2)\/15)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((20\/35 - (-984)\/(-105)) + 9). Solve -g + 0*g + 5 = 4*b, -3*g + p*b = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 + 32740*s - 6365000 = 0. What is s?\nAnswer: -8375, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-1 - 8)) + -4. Suppose -w*o - 40 = 2*t, 4*o + 23 + 9 = -5*t. Let h = o - -10. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.108 - 15. Let w = b + 19.292. What is w rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/4 - 11*k**3\/3 - 9*k - 2142. What is t(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50.1 + -44.39. What is b rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6771, -6317, -5851, -5367, -4859, -4321, -3747?\nAnswer: -3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 3*v - 255, -2*y - 2*v = -86. Suppose 8*f - 24*f + y = 0. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/125 + 12\/(-30) + 0\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(1*(-1 + 2)). Let l(q) = -4*q**2 - 2*q + 1. Let k(a) = a**2 - 8*a - 5. Let b(p) = p**2 - p - 1. Let g(j) = 6*b(j) - k(j). Calculate o*g(d) + 4*l(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 60.002. Let o = y + -0.102. Put 0, o, -2 in increasing order.\nAnswer: -2, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30, 51, 72?\n\"Answer: 21*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8070, -16139, -24208?\n\"Answer: -8069*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (10192\/(-7644) + -2*(-46)\/(-12)). Let h be (-1)\/(1*(-2)\/10). What is the fourth biggest value in 0.1, 0, g, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 p, and 1 v when four letters picked without replacement from {z: 4, v: 1, q: 3, p: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 57. Let y(t) = -23*t + 288. Let n(l) = -22*b(l) - 4*y(l). Determine n(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-7)\/20)*(-9)\/(-18). Let f be (-2 + -8)*-1*(-5)\/c. Solve 1 = -f*l + 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68\/313729 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Total of -0.56316 and -0.06.\nAnswer: -0.62316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/19, -0.3, 2\/15, -3, -0.8, -500?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62270 is divided by 4446.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 80 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-12) - (-4 + -7 + 140\/12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) -1\/5 (c) -2\/63 (d) -2 (e) 1\/463\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.16 + 2. Let s = w + -0.14. Let u = 7 + -7.2. Which is the nearest to s? (a) u (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Suppose -k - k = h. Suppose -3*m + f - 8 = k, -4*m + 0*f = 2*f + 14. Sort 5, -4, m.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*a - 4740 = 2839 + 17551 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 14*a**2 + 32*a - 1. Let j be s(14). Suppose -j = 10*q + 503. Let w = -39 - q. What is the highest common divisor of 42 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((-594)\/11)*1\/((-2)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*o**4\/9 - 414154*o**3\/9 + 16232768*o**2\/3 - 716534560*o\/9 + 2832121600\/9 = 0 for o.\nAnswer: -821, 140\/17, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 2*m + 1. Suppose -n = -5 - 11. Let q = 17 - n. Let x be 3\/q*(-12)\/(-36). Calculate b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17528620289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/1185 and -65\/158?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1276466 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21242 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1163 - -1147\/9304. Let d = 0.2 - 0.7. Which is the third biggest value? (a) -3 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*q - 67*q - 40344 = 1149*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3 + 33*t**2 - 78*t**2 + 5*t - 2 - 7*t. Let j(p) = 68*p**2 + 3*p + 8. Let o(c) = -5*j(c) - 8*y(c). Does 19 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*4\/(8\/(-23)). Calculate the common denominator of -3 - t\/(-32) - 2 and ((-2)\/(-36))\/((-4)\/(-402)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.70970281 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5319 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*h*m**2 + 3*h*m + 8*m**5 + 2*m**3 - 236 wrt m.\nAnswer: -176*h + 160*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(612)*1 + 0 + -1*((-1 + sqrt(1700))*3 - 4*(2*sqrt(1700) - sqrt(1700))))**2.\nAnswer: 32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -2*c**2 + 3\/2*c**4 + 0 + 5\/3*c**3 - 3*c - 1\/2*c**5 - 7\/15*c**6. Find k such that x(k) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 1\/1 + -2. Suppose -q + k*q = 6. Solve -11 = q*n - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*sqrt(187)*1 - -2*-2*sqrt(187)))\/(-5*(sqrt(1331) + sqrt(1331)*1*2))*5.\nAnswer: sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -650677.4 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4449 (b) -2 (c) 0.328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*n**3*q**3 - 18*n**3*q**2 + 4084*n**3 - 28*n**2*q**3 - 6*n**2*q**2 + 375371*n**2 + n*q**2 wrt n?\nAnswer: 294*q**3 - 108*q**2 + 24504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d - 12. What is the common denominator of 17\/27 and ((-1)\/d)\/((-91)\/858)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 146, 1035, 3448, 8147, 15894, 27451, 43580, 65043?\n\"Answer: 127*i**3 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r*t**2*u - 36*r*t*u - 7*r*t + 70*t**2*u - t**2 - 127*t*u with respect to r.\nAnswer: -3*t**2*u - 36*t*u - 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124680369309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 3, -28.\nAnswer: -28, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 + 17\/3. Let i = -1 + l. Find u such that 12*u**4 - 5 + 12*u**3 - 12*u + i - 3*u**4 - 5*u**2 - 3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmmr when four letters picked without replacement from rrrmrrrrrmr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.3 - -7.3. Which is the second smallest value? (a) -2 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 26*x**2 + 15*x - 39. What are the prime factors of a(-25)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4\/3 (b) 0.0568 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 = -89*s + 131*s. Suppose -97 + 17 = -4*c. What is the greatest common divisor of s and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11760321 divided by -2\nAnswer: 11760321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 1 + 15 - 9*p + 8*p - 2*p**2 as m*p**2 + y*p + t and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p + 2*p)*(-7 + 9 + 27).\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*d = 8, 57*d = m + 61*d - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 0, 3*o = 5*c - c + 20. Suppose o = -4*i - 5*k + 21, 4*i - 18 = 2*k - 4*k. Solve 5 = 3*z - i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4418 - 48497.68616\nAnswer: -44079.68616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 3*l - 2. Let m be s(5). Suppose 3*r - r = m. Suppose r*a = -2*c + 2 + 16, -6 = 3*a - 5*c. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -4, -4\/173, -3 in ascending order.\nAnswer: -4, -3, -1\/9, -4\/173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1583*s = -1857*s - 12330 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/11))\/(f\/((f**(-2\/31)\/f*f)\/f*f)))\/(f**2)**11 assuming f is positive.\nAnswer: f**(-7214\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 56575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -913\/8. Which is the third biggest value? (a) 0.4 (b) 0.1 (c) 0.7 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -21037, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13711 and 11?\nAnswer: 150821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/48)\/(105\/80))\/1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77032.\nAnswer: 2, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:55 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.122*3598\nAnswer: -438.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(153) + 2 + sqrt(153))*-6.\nAnswer: -36*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 60819, -2 in descending order.\nAnswer: 60819, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -548*l*w**2 - 2*l*w - 45437*l - 2 with respect to w.\nAnswer: -1096*l*w - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/7 + 820*r**3\/7 + 5926*r**2\/7 - 36696*r\/7 = 0. Calculate r.\nAnswer: -11, 0, 4, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -8 + (-282)\/24 - (-405)\/12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/101? (a) 3.95 (b) 3\/2 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241 - 211. Calculate the remainder when 57 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 15*w - 4. Let f be g(-14). Suppose 2*s = -0*s + f. Solve m + 21 = 2*m - s*o, m + 3 = -o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = x - 5*h, 5*x + 38 = -0*x + 6*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -7 (c) 4 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(91) + sqrt(91)*-1)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 119964.3 rounded to the nearest one thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479.865232 - 4.\nAnswer: 475.865232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201553 - 1406?\nAnswer: -203060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -5.477.\nAnswer: -5.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*1\/(-4)*-2. Suppose -4*w + 3 = i - 1, -5*w - 3*i + 5 = j. Let h = 5\/8 + -1\/8. Is w smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 5. Let y be 2 + o + 0\/3. Let c = -2 + y. What is the highest common divisor of 242 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by (-1)\/(-8) + (-255)\/(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -35, -0.5, 7769?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 1730*m**2 + m - 3564056 wrt m.\nAnswer: 3*m**2 - 3460*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38797\/2 + 19400. Let -15\/4*b + p - 9\/4*b**2 = 0. Calculate b.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - -2 - 11) + 4. Does 6 divide (0 - -222) + 4*i\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2012 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 12*y - 9. Let c be w(-12). What is the units digit of 6\/(2*c\/(-132))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpoo when four letters picked without replacement from {o: 3, j: 4, d: 7, f: 2, p: 1}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 57.4. What is the biggest value in 3, -10\/7, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29554*a**4*n**3 + 11*a**2*n**3 + 83*a**2 + 2*n wrt a?\nAnswer: 709296*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30033\/27 + 1\/(-3)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2733 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**5\/10 - 5*p**4\/8 - p**3\/3 + 2*p**2 + 71. Suppose f(k) = 0. Calculate k.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761017.\nAnswer: 31, 56807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*t - 4*t + 2304 = -118*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243 divided by -4.\nAnswer: -243\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/297 and (-170)\/(-4)*(45507\/5670 + -8).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -344 or -3?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1023\/25 + 41. Let y = 3 + -4. Sort p, y, 2\/9 in decreasing order.\nAnswer: 2\/9, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9)*(-3 + 15). Suppose -4*g = -5*r - 55, b*r - 20 = -0. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.311 to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 16) to base 15\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkp when three letters picked without replacement from tnpnttkphpktptttktk.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*-2*(sqrt(50) + sqrt(50) + (1 + sqrt(1800))**2) + -3)*-3.\nAnswer: -10791 - 420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110001 - -11?\nAnswer: -10001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + f + 2, 4*a + 9 = a + 4*f. Let r be -14*a - (-9)\/(-3). Let o = r + 18. Let c(h) = 11*h**2 + h - 1. Give c(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h - 651. Determine n(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37188 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 30*u**2 - 8*u + 20. Let a be -3 + (-4 - -10 - -1). List the prime factors of d(a).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*j = -25, 1493*m + 4*j = 1489*m - 40 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3548 is divided by 236.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = 1. Is (98\/(-4) - a)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6092655 is divided by 263?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15085 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f**2 - 3880*f + 7715. Let y(l) = -7*l**2 - 2771*l + 5510. Let v(j) = 12*h(j) - 17*y(j). Factor v(t).\nAnswer: -(t - 545)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6442 and 2.\nAnswer: 6442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21147, 42726, 64307, 85890, 107475, 129062?\n\"Answer: g**2 + 21576*g - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 4. Let m be x(4). Suppose m = 4*i - 0*i. Suppose -5*v + l + 87 = -l, 5 = -5*l. Solve -4*s + v = 2*n - s, -i = 2*n - 3*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 4*r + 7. Let n(i) = -i**2 - 2*i + 1. Let t = -8 - -7. Let s(u) = u. Let a(w) = t*n(w) - 3*s(w). Give 5*a(z) + j(z).\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ba (base 12) in base 14?\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2 + 12237864*b + 24475720 = 0.\nAnswer: -6118930, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 1. Let s(w) = 725*w - 6. Determine s(h) + 5*x(h).\nAnswer: 745*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -368 + 1023*s**2 + 721*s**2 - 225 wrt s.\nAnswer: 3488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456898453592.49 minus 0.1?\nAnswer: 1456898453592.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65.293 - 23.103. What is a rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c + 107. What is the tens digit of v(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.5, 2\/15.\nAnswer: -3, 2\/15, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.734432 millimeters?\nAnswer: 734432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, 8.68, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + 34\/6. Let g(k) = 7*k**2 - 1. Let a be g(-1). Suppose -12 = -4*u, -3*f + a*u + 57 = 3*u. Solve -h*r + f = 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.755 - 0.6682. Round p to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278032 is divided by 69507.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrmdxz. Give prob of picking 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248 + -261. Suppose c - 4 = 2*a, 9 = a - 5*c + 2. Put 1, u, a in descending order.\nAnswer: 1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 120139066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 33*p**2 - p. Let c be n(-2). Suppose 2*a - 5*u = 5*a - c, -u - 50 = -a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h. Let x(s) = 8*s**2 + 72. Calculate x(i(f)).\nAnswer: 32*f**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 162 = -672. Suppose 15*v + 386 = -v - 1230. Which is bigger: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -73. Which is the biggest value? (a) -4 (b) -3 (c) z (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {h: 8, f: 1, j: 1, g: 8}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osmbhskmkobm. Give prob of sequence bbk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20731*h**2 + 14271*h?\nAnswer: 41462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 4\/(-16). Suppose 20*w - 15*w - 180 = i. Suppose 0*z = 3*z + 5*p - 68, -3*z + 3*p + w = 0. What is the lowest common multiple of z and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:15 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -158 + 62 + 141?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3 + 786*l**2 - 7881*l - 600408 = 0.\nAnswer: -269, -24, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, a: 15}. Give prob of picking 2 a and 2 m.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - x - 80 = 0, 60 = -3*f + 6*f + x. Calculate the smallest common multiple of f and 3\/(-2)*3120\/(-9).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14196840 and 2080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 146*l + 16. Let c(i) = 29*i + 3. What is 2*b(s) - 11*c(s)?\nAnswer: -27*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 338. Let h = 306 + u. What is the nearest to -4 in h, 2, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196369140 by 32728190.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -18*u - 332. Let b be f(-19). Let h be (b - 2) + (9 - -1151). Calculate the greatest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 14 = 17*o. Let x(l) be the first derivative of -6 - 1\/9*l**o - 3*l + l**2. Factor x(q).\nAnswer: -(q - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 3*t**2 - 23 - 23 + 47. Let g(z) = 23*z**2 - 14*z - 23. Let q(l) = -8*l**2 + 5*l + 8. Let i(h) = 6*g(h) + 17*q(h). Give -i(r) - 4*s(r).\nAnswer: 2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - x - 15 = 0, -11 - 6 = 4*p + 5*x. Suppose -5 = -2*a + 4*g - 1, 0 = 5*a - 3*g - 3. Let j = -461 + 463. Solve -p*b + a = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) -248 (d) -3\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 293704 divided by -204\nAnswer: -73426\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -2*c - 1\/2*c**3 + 0*c**2 - 5\/12*c**4 + 0. Find the second derivative of v(p) wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 11.78.\nAnswer: -11.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*o - 9 + 53, 2*g - 2*o = 16. Suppose 5*n = h + 12, n - g = -0*h + 4*h. Solve 0 = n*b - b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6038374\/289 + -20894. Are 1 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 11*h + h. Suppose 0 = -4*v + 334 + h. Calculate the remainder when v is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 11}. What is prob of sequence ad?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 81, 1, -3, 4 in increasing order.\nAnswer: -3, -1, 1, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25042.97 litres?\nAnswer: 25042970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3843 and -19\/9.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2 + 6. Suppose -3*c - 1 = 2*h + 1, 3 = -4*c - 3*h. Suppose c = -2*v + 7*v. What is i(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/117, 2, -4, 4, -296 in increasing order.\nAnswer: -296, -4, -1\/117, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 6 = 14*u. Suppose u*y - 9*y = -693. Calculate the remainder when y is divided by 40.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.01143 rounded to 1 dp?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 4*j + 3. Calculate x(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/2)*h*h*h\/h**(-1)*(h**(1\/4))**(-23) assuming h is positive.\nAnswer: h**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**2. Let m(p) = -91615*p**2. Calculate j(m(q)).\nAnswer: 83933082250*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -12)\/((24\/9)\/(-4)). Solve -b = -5*a - 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(1539) - sqrt(19))*1.\nAnswer: -19*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 82*o**2 + 85*o + 231. Let c be j(-83). What is the greatest common divisor of 17355 and c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6228 minus -9?\nAnswer: -6219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-5*g + 4*g + 2*g)*(-1 + 2 - 13).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1 + 0 + 14*u + 2. Let x be v(1). Suppose -d - 2*d + x = 0. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48180 = -1029*o + 69*o + 84*o for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -94. Solve 5*w - f = 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1 + sqrt(99) + (sqrt(99) - (-1 + sqrt(99))))*-2 - (sqrt(88) + (sqrt(88) + -1*sqrt(88)*1 + sqrt(88) - sqrt(88)) - sqrt(88))\/(sqrt(512)*1).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 155 = -2*m, 0*m - 5*m + 4*n = -338. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104333, 110988, 117643?\nAnswer: 124298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 14*n**2 - 2*n - 15. Calculate j(14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from cceehiieheeheheie?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 1. Let n = 39 + -44. Let u(s) = -2*s**2 - 1. What is n*u(q) + 8*x(q)?\nAnswer: 2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 14\/8)*904\/(-3390)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(104)*-4)\/(sqrt(72)*5).\nAnswer: -4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 15. Let u = 34 - s. Calculate the remainder when u is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 2*y**2 + 2*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67162547 is divided by 175?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -652*y. Let l(v) = 49*v**2. Calculate f(l(q)).\nAnswer: -31948*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 96*r**2 + 22*r + 664. Determine x(48).\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 35 = 4*r - 4*w, 2*w - 6 = 0. Let t = -8 - r. Let z(i) = -i**3 - 3*i**2 - i - 2. Let y be z(t). Are 1\/13 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50685*j**2 - 22*j**3 - 23992*j**2 - 26693*j**2.\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-147)\/(-1*(-1)\/(-3)). What is the units digit of (-2)\/4 - c\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)\/c**(-1)*c*c**(1\/3)*c*c**2*c)**(1\/67) assuming c is positive.\nAnswer: c**(41\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 4*z**5\/5 - 15*z**4\/4 + z**3 + 68. Find the third derivative of d(n) wrt n.\nAnswer: 96*n - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {d: 2, f: 1, v: 6, a: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:29 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24061 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18175*r + 1289730 = -1000320 for r.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 24 = -m. Suppose 3*h = 4*n + m, -n - 2 = -h + 2. Let b = 5 + 0. What is the remainder when h is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336687858 to the power of 1\/3, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 5*r - 21\/4.\nAnswer: (r - 21)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 15, -3*h + 7 - 16 = b. Let n be -2*(-2)\/(-594) + b. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8746 + 279927\/32. Suppose 0 = -10*f + 107 - 17. Find the common denominator of f\/6 - 413\/(-28) and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 17 - -15) + 55 + -10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*k + 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.5 or 2461?\nAnswer: 2461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.383 and 0.061386?\nAnswer: 2.321614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 50. Let h(c) be the first derivative of -4*c - 1\/2*c**g - 3. Determine h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3403?\nAnswer: 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-12 - -8 - (-8 - 2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/16)\/t*t)**(-26) assuming t is positive.\nAnswer: t**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1277406*b**3 + 4354804*b wrt b?\nAnswer: 7664436*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 3*r + 0*r)*(1 + 2 - 2)*(4*r**3 - r**3 + 2*r**3) + (2*r**3 + 0*r**3 - 3*r**3)*(-4*r - 2*r + 5*r) as p + t*r**4 + u*r + a*r**2 + c*r**3 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 120*h + 312505. Is v(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 - 2)*(-1 - 5 + 5) + (1245 - 832 - 689)*(1 - 5 + 2))*(0*j - j - j)*(10 - 4 + 1) to the form z*j + m and give z.\nAnswer: -7784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 341027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(sqrt(117)*3)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from zhezzgzggeyhhh?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 60*u**2 + 0 - 5 to the form t*u + q*u**2 + i and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-30) + -5964*83\/14940\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (232\/6)\/(6*(-6)\/(-45)*(-2195)\/2634)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 - 22357224304*s + 22357224304*s.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126049?\nAnswer: 269, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**5 - 85*z**4 - 315*z**3 - 135*z**2 + 540*z = 0. What is z?\nAnswer: -12, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5253619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5 + 147*o**4 - 1854*o**3 + 1428*o**2 + 3432*o = 0.\nAnswer: -1, 0, 2, 22, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*a - 10173 - 2459 = -1112 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/85, 579, 0.3, 13 in ascending order.\nAnswer: 16\/85, 0.3, 13, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 5*n - 100.\nAnswer: 5*(n - 4)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjvmrrrrzrjreze. Give prob of sequence zjme.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11332.\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) 0.121 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 21*i - 26*i. Let n(d) = -d**3 + 6*d**2 + 6*d. Suppose 10 + 4 = 2*c. Let r be n(c). Is i <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/728 and -43\/18147?\nAnswer: 13211016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-8)\/40 + ((-2184)\/20)\/(-6) and 312.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99 + 88*(-66)\/33.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 21*w**2 - 80*w + 181. What is q(24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92040)\/(-80))\/59 - 20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1) + 2 + 1. Suppose 0 = 2*h - 0*m + 5*m + 28, -5*h = 4*m + 36. Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 8*s + 4. Let n be w(-6). Let f = -111 + 115. What is the greatest common factor of n and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4677614*v**2*w + 3*v**2 + 610849*v wrt w?\nAnswer: -4677614*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/175 and -54\/35.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -30. Let t = l + 160. Let g = t - 147.0000167. Round g to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319 - 74. Let n = v - -698. Suppose -5*i + 2*k = -14 - n, -3*i + 199 = -5*k. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50722 and 10?\nAnswer: 507220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -y - 0*y + 3*a + 38, a + 9 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 2*b. Let z(i) = 6*i**2 - 96*i - 85. Let u(y) = -4*p(y) + z(y). Let s be u(45). Solve 0*t + 4*t - s*w - 3 = 0, -15 = 5*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12860000273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.077469 + 4.019769. Round w to 1 decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((((-156)\/6240)\/(1\/((-70)\/4)))\/(-1))\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 4*z. Let a(l) = 11*l**2 + 9*l + 1. Let f(b) = -3*a(b) - 7*j(b). What is the units digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 9. Let x be q(0). Let b be 9\/6*(-24)\/x. Suppose 2 = 4*h - g, 3*h + 3 - 2 = 2*g. Sort 2, b, h.\nAnswer: h, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - p - 125, -a + 4*p + 27 = 2. Is ((-1)\/3)\/(((-125)\/540)\/a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 8. Let a(s) = 5*s - 19. Let v be a(3). Calculate g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 - (-5 + 4 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 350 = 317. Put -1, -46, c, -5 in ascending order.\nAnswer: -46, -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*o**5 - 2*o**5 + 2*o**3 - 2*o**3 - 27*o wrt o?\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2683*b - 2691*b + 696. Solve -56 = 95*l - b*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0)\/(r\/r**(-2\/9))*(((r*(r\/r**(2\/9)*r)\/r)\/r)\/r*r)\/r*r*r**(-1\/8) assuming r is positive.\nAnswer: r**(31\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44250786?\nAnswer: 2, 3, 83, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15060\/(-4016)*(-16)\/110?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/120 - q**5\/6 + q**4\/3 - q**3\/2 - 13*q**2. Let u be w(7). Let b = u + 157. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(1\/3)\/d*d)\/d)\/d*d)**38\/(d**(1\/12)\/d**(-2\/11)) assuming d is positive.\nAnswer: d**(1637\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -324*w + 26249. What is p(81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -243, -960, -2159, -3846, -6027, -8708?\n\"Answer: -d**3 - 235*d**2 - 5*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/60 + a**4\/24 - 3*a**2. Let v(j) = -j + 91 - 145 - 2*j**2 + 52. What is k(d) + v(d)?\nAnswer: -3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 358761?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10009523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13950\/17 (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - -4.05. Let p be ((-12)\/(-9))\/(14\/3). Which is the nearest to 0.1? (a) p (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:41 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -23251*h. Let k(p) = -18*p. Give k(n(q)).\nAnswer: 418518*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 865*s - 302 + 67772 for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4.433*0.01\nAnswer: -0.04433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 2 a when four letters picked without replacement from pdaatapdppppip.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9958100.8 and -0.1.\nAnswer: -995810.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 4. Factor -1 - 10*j**3 + x*j**3 + 4*j**4 - 3*j**4 - 2*j.\nAnswer: (j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.088 and -6.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 127 = 3*l, -11*q + 12*q - 35 = 4*l. Suppose 3*c - k - 1865 = 0, -32*k + q*k = 3*c - 1873. List the prime factors of c.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 36. Let l be s(-5). Let y(o) = 0 - 10 + 2*o**2 - 32*o + 10. Let x be y(l). Solve x = -3*b + 2 + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(3 - 0) - 1. Solve 2*z + t + 0 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3\/4 (b) 2 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/434 + 0 - 0. Let a be 78\/65*(-74)\/217. Let z = a + l. Sort 0.3, -2, z.\nAnswer: -2, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, -25, -96, -237, -472, -825?\n\"Answer: -4*m**3 + m**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*i + 186*i + 901 + 1530 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1028, 2427, 4212, 6389, 8964?\n\"Answer: f**3 + 187*f**2 + 831*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49403675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7))**32 assuming k is positive.\nAnswer: k**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25111 is divided by 66.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 10*r - 10. Let f(a) = a**3 - 4*a**2 - 4*a - 6. Let w be f(5). Let k(d) = -d - 1. Let o(x) = w*j(x) + k(x). Give o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/25)*r**10 assuming r is positive.\nAnswer: r**(274\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2445 - 8.\nAnswer: -2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.8 - 28.4. Let n = 4014 + -36178\/9. Which is the smallest value? (a) f (b) -3\/4 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92958 is divided by 762?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)*z**7)\/((z**(-1\/6)*z)\/(z*z\/(((z*z*z**(-7))\/z)\/z*z))))\/((z**0*(((z*z**(1\/14)*z)\/z*z)\/z)\/z)\/(z**(2\/3)*z)**(2\/29)) assuming z is positive.\nAnswer: z**(16699\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 82*b - 61*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, -2, -4 in descending order.\nAnswer: 5, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -162622570 rounded to the nearest 10000?\nAnswer: -162620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2736*u - 219537 + 219537 as j + a*u and give a.\nAnswer: -2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 529 = -111*s - 311 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1331744, 1331818, 1331894, 1331972, 1332052, 1332134?\n\"Answer: j**2 + 71*j + 1331672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 + 37797988*z - 178585987106018 = 0.\nAnswer: 9449497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 25*d**2 + 122*d + 817. Give c(-6).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + s**2 - 63*s. Let h(x) = x**3 - x**2 + 42*x. Calculate 5*g(y) + 7*h(y).\nAnswer: 2*y**3 - 2*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4 - 0. Let v be y\/((-2)\/12*4). Factor 0*f**2 - 1\/3*f + 0*f**4 - 1\/3*f**5 + 0 + 2\/3*f**v.\nAnswer: -f*(f - 1)**2*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l - l)*(0 + 2*l + 0)*(4*l - l - 5*l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 2. Give y(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-68)\/8 - -6)\/((-2)\/100). Suppose -j + 14 = 4*s, 5*s + f = 5*j + 5. What is the highest common divisor of j and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7734000 to the nearest 100000.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c. Let h(z) = -z. Let i(l) = -3*g(l) - 8*h(l). Let w(o) = -924 - o**2 + 924. What is i(w(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-16)*c*c)\/((c\/(c\/c**(-12)))\/c))\/((c\/c**(6\/7)*c*c)\/c**15) assuming c is positive.\nAnswer: c**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 7*j**2 + j. Let f be p(-7). Sort -4, f, -2 in increasing order.\nAnswer: f, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*b, -5*o + 2*b = -12 + 3. Put 26, o, -2 in descending order.\nAnswer: 26, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let s(w) = 3*w**2 + w + 40. Let m(d) = -4*r(d) - s(d). Let t be m(7). Factor 1\/3*v**t + v + 0.\nAnswer: v*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1185, 2369, 3569, 4785?\n\"Answer: 8*l**2 + 1160*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4666, 5, 55 in descending order.\nAnswer: 4666, 55, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 3*h + 12. Let b be c(5). Suppose 6*g = -b*g - 336. Let v = g - -71. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:11 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/6 - 18*w. Let r(f) = 22*f**2. Calculate r(a(x)).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(468)*1 + -5 + sqrt(468) - sqrt(468) - (sqrt(468) + 0)*-1 - (sqrt(468)*-1 + 1 + 3))**2*-2.\nAnswer: -25758 + 1944*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)\/q*(q*q**(-2\/7)*q*q)\/q*(q*q\/q**(2\/3))\/(q\/(q\/(q\/(q*q\/(q*(q\/(q\/((q*(q*q**(1\/19))\/q)\/q*q*q)))\/q*q*q)*q)))) assuming q is positive.\nAnswer: q**(-409\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 - 97247561*p\/5 + 32415854\/5.\nAnswer: -(p + 32415854)*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k + 58. Let z be l(7). Let w(s) = -8*s + s + 2*s + z*s. Let o(u) = -9*u + 1. What is 2*o(j) + 5*w(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-22) - (-630)\/198. Let q(t) = 4*t - 1. Let s be q(1). Solve 0*j - s = -b*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(13)*3 + -1)**2 + -1.\nAnswer: 18*sqrt(13) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30a9f (base 16) to base 15\nAnswer: -3e0d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -24, -63, -118, -189, -276?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-216))\/(25\/(-4500)))\/((-34)\/((-1)\/1)).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1406 + 6448*k**4 - 5*k - 3265*k**4 - 3317*k**4 + 3*k wrt k.\nAnswer: -1608*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 10294 = -9*f - 10328, -5*y + 107 = -24*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -9 - 8\/5*j**5 + 0*j**4 + 4\/3*j**3 + 0*j**2 + 0*j. What is the third derivative of i(b) wrt b?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -49 + 49. What is the smallest value in x, 1, 4\/3, 19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22596*p + 223*p**3 - 225*p**3 + 492 - 22595*p - 11*p**2 as v*p**2 + d*p + f*p**3 + i and give i.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 311 and 3.7.\nAnswer: 1150.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25426476 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/4, -208, 10\/7, -4?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10 = -3*o, 3*c - 8*c - 3*o + 20 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, m: 3, y: 1, i: 5, n: 5}. What is prob of sequence im?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12030*f - 7 + f**2 - 24080*f + 12059*f - 4*f**2 + 2*f**2.\nAnswer: -f**2 + 9*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -29*h**2 + 2 + 17*h**2 + 8*h**2. Let r(o) = 17*o**2 - 9. Let a(q) = 9*f(q) + 2*r(q). Let g(k) = -3*k + 9. What is a(g(m))?\nAnswer: -18*m**2 + 108*m - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 400246 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 75*z**3 - 73*z**3 + 0*z**4 + 2 + 3*z**2 to the form f + o*z + v*z**4 + m*z**3 + j*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 22*g = 30. Let v be g + -3 + 1 + 54\/(-14). Which is the biggest value? (a) -13\/4 (b) 1 (c) 2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p\/p**(2\/17)*p**13*p\/p**4)**(3\/11) assuming p is positive.\nAnswer: p**(96\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (57\/(-12))\/(10\/40). Sort -2, 1, i in ascending order.\nAnswer: i, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255318 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18800 and 484100?\nAnswer: 1936400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/10, -1, -1\/6, 4\/33, -0.1, 224, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 1672.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4464043 + 0?\nAnswer: -4464043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(2\/1)\/4. Suppose b = -x - 4*x. Suppose j - 2*n + 1 = 0, 0*j + 5 = j + n. Solve x = -j*z + 5*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 689252132 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66249 = -800*i + 799*i + 2*j, 2*i - 132458 = -4*j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1. Let p = -19 - -17. Let x be 4*(2 - (-2)\/p). Let i(v) = -2*v + 5. Determine x*s(u) + i(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6201.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 324.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(4608\/(-552))*12.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 606.36573.\nAnswer: 607.36573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 2*v. Let g(j) = 6*j**2 - 3*j. Suppose -4*f = -5*f - 4. Give f*a(m) + 3*g(m).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3609)\/(-1604))\/(-2*4\/128)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by 1.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1609 + -1609.152. What is the smallest value in 1, -0.1, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 + 1. Let m = 247 - 251. Let u(n) = 3*n**3 - 66*n**2 + 117. Let r(l) = m*j(l) + u(l). Differentiate r(c) wrt c.\nAnswer: -3*c**2 - 140*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let s be 10\/(-26)*2\/(-5). Let g = 23540 - 23539. What is the nearest to g in x, 2\/15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = g + 4, p - 3 = -0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -270 + 56 - 107*c**4 + 10 wrt c?\nAnswer: -428*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -17*j + 37. Let v(u) be the third derivative of -u**5\/20 + u**3 + 3*u**2. Let c(y) = 7*y**2 - 13. Determine j*v(x) + 6*c(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10782*f - 172281. Give v(-16).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 47*c - 3*f = -87, -c - 5*f = -26. Calculate the common denominator of 2\/21*(-255)\/4 and (c\/(-7))\/((-132)\/(-231)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 28*u**2 - u + 6. Calculate f(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00167270483 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 108.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 6. Let v(u) be the third derivative of -u**3\/6 + 3*u**2. Suppose -6*c - 2 + 8 = 0. Let p(a) = c*g(a) + 6*v(a). Let l(b) = -2*b. Give l(p(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + -2*20\/(-8). Solve -4 - s = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.4 (c) 83837 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 175 + 181 + 6*i**3 - 3*i**2 - 7*i + 174 - 701 + 173 in the form f*i**3 + c*i**2 + k*i + d and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 111. Let n be h(-35). Solve -z - z = n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4291.9 micrometers in kilometers?\nAnswer: 0.0000042919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - sqrt(121)*-1*-5)\/(-2*sqrt(99)) - ((sqrt(99)*-2 + sqrt(99))*2)\/((sqrt(9) + sqrt(9) + sqrt(9)*-1)*4).\nAnswer: 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n - 8*n = -141. What is the smallest common multiple of n and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*c**2 - 55*b - 949241*c**2 + 418*c wrt c.\nAnswer: -4*b - 1898482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7*a - 24 = 0. Let b be (2\/6)\/(14\/a). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 0.15. Let c = 1.5 - 4.5. Let o = -1.23 - -0.23. What is the closest to c in -0.5, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 56. Give k(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:34 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1330115 or -1330110?\nAnswer: -1330115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 517*s - 4617. What is c(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n + 1. Let o(y) = 9*y. Let f(q) = -3*o(q) + 2*w(q). Let b(g) = g**3 - 12*g**2 + 11*g. Let l be b(11). Let x be -1 + -5 + (l - -3). Determine f(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or -43?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 409758292 a multiple of 1732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 255893\/172 - 2\/8*-1. Suppose 22*m + 9*m - r = 0. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2 + (2 - 3)). Let u(y) be the third derivative of -1\/24*y**4 + 0*y**3 + 3*y**2 + 0*y - 1\/60*y**5 + c. Suppose u(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {s: 7, a: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43157110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-6 - -9) - -14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - -2 - 4) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42512579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*m - 5*p - 20 = 0, 0 = -4*m - 5*p - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -198, -436, -780, -1236, -1810?\nAnswer: -2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**3 + 2*j. Let y(k) = 3*k - 5*k**3 + 6*k**3 - 3*k. Calculate r(g) + 6*y(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9023, 8122, 7219, 6314?\nAnswer: 5407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 11) to base 3.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337669.\nAnswer: 3337669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a8a14608 - 2?\nAnswer: -4a8a1460a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -67 (b) 1\/5 (c) -4 (d) 197 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*b + 2 = 0, -5*r + 4*b = 3 + 7. Let f be 3\/(-6) + 5\/r. Solve -1 = -f*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4 + 1. Suppose -2*t + 85 - 59 = 0. Suppose 0 = 5*w - 30 - 5. Solve -x*k = -5*q + 45, 5*k = -t - w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(0 + (-9)\/(-2)). Solve 3*h - 30*h**3 + j - 6*h**2 + h**2 + 31*h**3 = 0 for h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/(2\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -483.7 - -484.1. Which is the third biggest value? (a) k (b) -0.5 (c) 3637\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5752, 11506, 17260?\n\"Answer: 5754*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 12, 415*l - 6961 = -k - 2807 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/13 (b) -6046 (c) 1306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - -49) + (21 + -16 - -7).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 6, e: 2, h: 5, s: 1}. What is prob of sequence wjjh?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 4, z: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q - 18. Let r(s) = 17*s - 1. Let i(j) = -6*j + 5. Let l(n) = -4*i(n) - r(n). Calculate -5*l(f) + 6*z(f).\nAnswer: f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 24*j + 4*k + 774 = 0, 2237 = 3*j + 5*k. What are the prime factors of j?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615143 is divided by 16625.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54840 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 59.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 0*h)*(8*h**4 + 50*h - 50*h) + 34*h**3 + 16*h**5 + 2*h**2 - 5*h**5 - 14*h**3.\nAnswer: 19*h**5 + 20*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)*-2 - -1*sqrt(3267))\/((sqrt(729) - (1*sqrt(729) - sqrt(729) - sqrt(729))*-5) + sqrt(729)).\nAnswer: 13*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171)*2 + sqrt(171) + 2*sqrt(171)*-1)*-4)\/(-2*sqrt(729)*5 + sqrt(729) - (sqrt(729) - (-5*sqrt(729)*1 - sqrt(729)))).\nAnswer: 5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 9*j**2 + 22*j + 182. Let f be a(-8). What is the greatest common factor of 1190 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x + 174. List the prime factors of p(10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Suppose -2*r = -j*r. Find q, given that 2\/3*q**4 + r*q**3 + 0 + 0*q**2 + 0*q = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227\/336 - 1\/112. Let j be ((-9)\/18)\/((-2)\/(-8))*2\/(-20). Which is the fourth biggest value? (a) j (b) z (c) 0.13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*r - 3*c, 4*r + 3*c - 35 = -16. Suppose p = -3*p - 20. Sort -34, r, -2, p in descending order.\nAnswer: r, -2, p, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 5*c**2 - 13*c + 8. Let u(d) = -2*d**3 - 4*d**2 - 14*d + 9. Let a(l) = -3*n(l) + 2*u(l). Does 43 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 366 = -966. Sort 0, a, 8, -4 in ascending order.\nAnswer: a, -4, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + -6 - 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*j + 8*j - 1958 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*u**2 + 158*u**2 - 136*u**2 + (2 - 3 + 0)*(-38*u + 38*u + 5*u**2).\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*b - 497*b + 238*b + 12*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/9 - 1)\/((-4)\/12). Suppose -y - u = -2*y. Let h be (-36)\/(-126)*(-2)\/y. Sort h, 3, 0.1.\nAnswer: h, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 - 7*q**2 + 9*q + 7. Suppose -m = 2*m + 18. Is f(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4521 is divided by 1507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by (116\/58)\/(((-24)\/(-759))\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -3332?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2961 - 1651. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 2. Suppose -16 = -p - 2*w, -103*w = 4*p - 100*w - 39. Let r(y) = -4*y - 3. Give p*r(n) - 11*v(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 + 1938*n**2 + 175966*n.\nAnswer: 40*n**3 + 3876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 7:23 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1822596367.\nAnswer: 17, 107211551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(4845\/38))\/(1*2)*24?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + h = -t - 2070, -h = -t + 519. Suppose t = 4*s + m, 0 = 3*s + m - 319 - 68. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/385?\nAnswer: 6\/385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -355*(7 - (-176)\/(-20)). Let s = 2425 - j. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:18 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 - 177. Suppose -5*s - 5*a + 2725 = 0, s + 3*a + 37 - 592 = o. Calculate the highest common factor of s and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9 - 19. Let f = -9227 - -9267. What is the remainder when f is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 759 = 5*n, h = -5*n - 2*h + 749. What are the prime factors of n?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:56 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -86.\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-1725))\/(1 + (-14)\/35)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 102.6. Let y = 9.5 + 1.5. Let a = y - u. What is the second smallest value in a, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -83*z + 189. Let q be d(-20). Let o = -16657\/9 + q. Find the common denominator of 28\/9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12456 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3440 + 3448. Solve 2 = g - 2*z + b, -15 = -3*g - 5*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 680*f**2 + 43*f + 84. What is the hundreds digit of v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (-14 - (-155 - (-20 - -9 - 7)))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 331*z**3 - 1159*z**3 + 714*z**3 - 216*z - 338*z**2 + 8.\nAnswer: -2*(z + 1)*(z + 2)*(57*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b**2 + 2*b + 456. Is o(0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 smaller than -22\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -8. Let f = 5 - r. Which is the closest to f? (a) -1 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/9)\/d)\/(d\/d**(3\/10)) assuming d is positive.\nAnswer: d**(-143\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 5512 - 3128. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24810414641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 1. Let c be f(-3). Let m = c - -9. What is the third derivative of -v**4 + v**4 - 3*v**2 - 3*v**m wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 280, 284, 288, 292?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 3*d - 2*d - 7 - 2*d + 14*d. Let w be (1 - 1 - -6)*1. Let i(b) = b**2 - 6*b + 6. Suppose 0 = 3*c + c - 28. Determine c*i(s) + w*j(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/60)\/((-11)\/4 + 2)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14605864 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6) - (-2884)\/24. Suppose -6*i + 11*i - j = 0. Let v = 14 + i. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 170 = 49*u. Which is the third biggest value? (a) u (b) 0.004 (c) 4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/20 and 97\/940.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*c - 31*c - 2*f + 1, -4*c + 107*f - 70 = 33 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14805?\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13400376 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/371? (a) 0 (b) -0.2 (c) 1 (d) -2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 3*d + 4. Suppose -26 + 6 = 5*s. Let a(b) = 30*b + 193. What is the lowest common multiple of m(s) and a(-6)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 14) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 35 = -120 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/28390 and -32\/1876579.\nAnswer: 18765790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44891.3 centuries in months?\nAnswer: 53869560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -86, -91, -94, -95, -94?\n\"Answer: i**2 - 10*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, n: 2, m: 4}. What is prob of sequence ttm?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34059*v**4 - 53*v**3 - 2482948.\nAnswer: 136236*v**3 - 159*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 728, 679, 620, 545, 448, 323, 164, -35?\n\"Answer: -w**3 + w**2 - 45*w + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/63*(-165)\/110 and -109\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -2411915 in ascending order.\nAnswer: -2411915, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 - 8*i - 4. Let t be m(-4). Let j be (3 + t\/(-9))*-3 - -5. Solve -2*b + j = 4*x - 2*x, 5*b = 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10367 + 18346. Is 79 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*f + f = 515, -f = 2*m - 509. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**3 - 4. Let d(u) = -10. Let b(m) = -13. Let q(j) = -3*b(j) + 4*d(j). Give f(g) - 2*q(g).\nAnswer: 4*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -448, -2.\nAnswer: -448, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79885\/14 - 101295\/14. Let s = 4916 - 3384. Let c = m + s. What is the common denominator of c and 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.28592 rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 518261683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/37)\/b*b\/(b**32*b)*b**(-2\/3)*b**(2\/85) assuming b is positive.\nAnswer: b**(-316913\/9435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 11\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*c - 527 - 1402, 4*l - 2572 = -2*c. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 3*j - 4*m + 10, 2*j - 5*m + 16 = 0. Suppose -220 = -3*w - 2*s, j*s = -5*w + s + 369. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322 - -3?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 5 = -18. Let l(s) = -s**3 - 3*s + 1 - m + 4*s**2 + 0*s**3 + 2. Let t be l(2). Solve 16 = t*k + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 5*i = 32*d - 85, -3*i + 79 = 5*d. Let p(q) = q**3 - 15*q**2 + 5*q + 128. Let f be p(d). Factor -2\/3 + 5\/6*v - 1\/6*v**f.\nAnswer: -(v - 4)*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(209)*-2)\/sqrt(11) + (sqrt(19) - (1 + sqrt(2299))) + -2)**2 + -3.\nAnswer: 120*sqrt(19) + 7606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 = -3*r - x, -r + 4*x = 9. What is the least common multiple of r and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s + 109*s**2 - 23*s.\nAnswer: 109*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1177568 less than 4?\nAnswer: 1177572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38587282 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -4, 1 in descending order.\nAnswer: 1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 5*y + y + 5*y to the form p*y + b and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmmmemmmmmme. Give prob of sequence mmm.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 15*h - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -58. Let a be -11*(-1)\/(-1)*(-18 + i). Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(2\/24). Let x = -32 + q. List the prime factors of x\/(-3) + (-14)\/(-42).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -208.683?\nAnswer: -208.683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 - 1793 - (0 - 0 - -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(-1 + sqrt(162) + (sqrt(162) - ((sqrt(162) - (sqrt(162) + 0)) + sqrt(162))) + 4)*-4*-4*4)**2.\nAnswer: 1990656*sqrt(2) + 6303748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 378*i - 81. Let z(a) = -29*a + 6. What is 6*n(t) + 81*z(t)?\nAnswer: -81*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1112002301233?\nAnswer: 1112002301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49475 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, t: 3, e: 1, i: 2}. Give prob of picking 1 i and 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -195 (b) 0.1 (c) 1\/6 (d) 0 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 167508\/(-7920) + (-15)\/(-100)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/20298000 and 88\/1268625.\nAnswer: 20298000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -215, 1\/4, -3627 in decreasing order.\nAnswer: 1\/4, -215, -3627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -16.8 (c) -5 (d) -19 (e) 5\/4 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 4*r**2.\nAnswer: 4*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322 is divided by 472.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608 is divided by 1244.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 2*y**2)*(2*y + y + 5*y)*(2 - 6 + 3).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*u**2 - 4*c**3*u + 73*c**2*u**3 + 2*c*u + 2*u**3 - 430 wrt c.\nAnswer: 12*c*u**2 - 24*c*u + 146*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18338636 and 14628?\nAnswer: 55015908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*w + 104, 5*b - 62 = 5*w + 58. Let u = 138 + w. Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c4970 (base 15) to base 2.\nAnswer: -101010001100001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87b + -5?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38441814.\nAnswer: 2, 3, 71, 90239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3 - p**2 - 2*p + 1. Suppose -8*o + 7*o + 2 = 0. Calculate f(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72183067849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 4*i - 13. Let c(b) = 2*b**2 - 7*b - 31. Let s(m) = -2*c(m) + 5*t(m). Calculate s(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 247*g + 195. What is a(2)?\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a02 + 57?\nAnswer: 5a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, h: 4}. Give prob of sequence hk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9115451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 52877 (base 9) to base 7\nAnswer: 203662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**14)\/c*c**(-14)*c**(1\/6)*c*c**(-13) assuming c is positive.\nAnswer: c**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/103? (a) -3.6 (b) 0 (c) -2\/15 (d) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 67?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1, -6 in descending order.\nAnswer: 2\/9, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 5\/2*t**2 - 5\/6*t**3 + 9*t + 0 + 1\/20*t**5 + 1\/3*t**4. Determine u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6248770 and 111224.\nAnswer: 6359994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/240 - 7*o**5\/120 - o**4\/6 + 4*o**3\/3 - 6*o**2. Factor z(p).\nAnswer: -(p - 1)*(p + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2332 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1223614 and 57\/8565298.\nAnswer: 8565298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q + 140. Calculate the remainder when g(10) is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*149)\/(-1 - 24\/(-22)). Is ((-3)\/2 - -1)*(-3 + k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 12*b - 54.\nAnswer: -2*(b - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:31 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53901 - 202091 = -2030*q for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**4 - 3*y**2 + 3*y**2)*(-3*y + y + y) - 4*y**3 + 4*y**3 + y**5 + (0 + 0 - 2*y**3)*(2*y**2 - 2*y**2 + y**2) - 3*y + 3*y - 5*y**5.\nAnswer: -11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55914.23 minutes to nanoseconds.\nAnswer: 3354853800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20016568 and 17514497?\nAnswer: 140115976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 6256?\nAnswer: -1\/6256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 5, -2, -37 in ascending order.\nAnswer: -37, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 16*j + 73. Let h be k(-18). Let z(l) = 14*l + 325. Does 16 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 92*c - 320 = -41*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-54) - (-3)\/(0 - 3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212 - 20100102020110?\nAnswer: -20100102022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h. Let d be v(2). Let l be ((-8)\/d)\/((-4)\/(-10)). Solve -p + 4*u - l + 0 = 0, -u - 8 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -2*b + 2*d + 4, -4 = -2*b - 3*d. Suppose 20 = -b*a + 146. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -26*p - 3. Let y(i) = 94*i + 11. Let k(o) = 22*g(o) + 6*y(o). Let d(f) = 17*f. Determine d(k(q)).\nAnswer: -136*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(3*16\/(-48))*20\/(-8)*10\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2880809814.\nAnswer: 2, 3, 41, 2777, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.29 + 17. Let b = -5.79 - c. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 21*j + 146. Let w be q(-27). Let u = w - -22. Calculate the least common multiple of 3 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 4*h**3 + 9*h**2 + 2 - 4*h**2. What is the units digit of w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6230, 0 in decreasing order.\nAnswer: 0, -3, -6230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 3*a - 47, 4*j = -2*a - 59 + 53 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqtqu. Give prob of sequence tuqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57865*h**3 + 29*h*m - 2*m - 3088469 wrt h?\nAnswer: -173595*h**2 + 29*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -47 - 18 - (-76 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 1, f: 1}. Give prob of picking 1 x and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 2110?\nAnswer: 8440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182526 and 12829270.\nAnswer: 1116146490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2 + 2)*(-4786*j + 2034*j + 1915*j - 5*j + 6*j + j + (-2*j + 0*j + j)*(-3 - 2 + 4) + 3 - j - 3).\nAnswer: 835*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 207, 284, 391, 528, 695, 892?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 22*r - 12. Determine k(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*y - 7*z + 17, 5*z + 1 = 2*y. Solve 4*q + 6*a - 29 = y*a, 3*q - 5*a = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + m**5 - 2*m**5 + (3 - 3 + m**3)*(-9 + 59602*m**2 - 6*m - m - 59607*m**2).\nAnswer: -8*m**5 - 7*m**4 - 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kummkckmkkkc. What is prob of picking 2 c and 1 m?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 2*d + 4, 3*i + 2*d = d + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*w - 8*w = -13451, -w = 2. List the prime factors of c.\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 5*u**2 + 3*u. Suppose 5*q + 29 = 3*q + 5*c, 5*q + 3*c = -26. Let v(r) = -2*r**3 - 6*r**2 - 4*r. Calculate q*l(h) - 6*v(h).\nAnswer: -2*h**3 + h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:46 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(684) + -1)*6 + -2)**2 - (-6*(sqrt(304) + (-1 + sqrt(304) - sqrt(304)) + sqrt(304)) + -1 + sqrt(304) + 1)**2.\nAnswer: -12187 + 312*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 84 = -3*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2\/5*n + 4\/5*n**2 + 2\/5*n**3 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c + 3*c - 6*c)*(-7*c - 3*c - 17*c + c**2).\nAnswer: 5*c**3 - 135*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -430 + 432. Suppose 756 = r*m - 3*y, 0 = -3*y - 0*y + 6. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76820?\nAnswer: 2, 5, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 657 and 1387.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9116\/3710 + (-918)\/1071.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 342.2476nm?\nAnswer: 0.0000000003422476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(891) + sqrt(77)\/(1*sqrt(7)) - (1 + (sqrt(88)\/sqrt(2) - sqrt(44)) + 1)) + 2)**2.\nAnswer: -2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**5\/20 + 19*z**4\/16 + 7*z**3\/2 - 3320. Suppose r(f) = 0. What is f?\nAnswer: -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 227000 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9054, -18109, -27166, -36225, -45286, -54349?\n\"Answer: -r**2 - 9052*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 757*v - 43274. Give j(57).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**6\/105 + r**5\/35 - r**4\/14 - 4*r**3\/21 + 4*r**2\/7 - 247*r. Factor x(l).\nAnswer: 2*(l - 1)**2*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -15.22. Let q = r - 5.78. Which is the nearest to 2\/9? (a) -2\/7 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.041 >= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36 - 5 - -14 - (3 - 16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 5*h - 1. Let u be v(-4). Let m(w) = -2*w**2 - 4*w. Let n(y) = -2*y**2 - 3*y. Give u*m(p) + 6*n(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1450 (base 9) to base 4\nAnswer: -101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*s = -294 - 290 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(110) - -2*(sqrt(110) + 3*sqrt(110)))\/sqrt(10).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117173308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(77) + sqrt(77)) + (-1*sqrt(77)*3 - sqrt(77)) + sqrt(77))\/((sqrt(99) - sqrt(99)*2)\/sqrt(9) + -5*sqrt(11)*-1).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*r + 55*r + 25652*r**2 + 43*r to the form u*r + l*r**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.6277507 rounded to 0 decimal places?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(-6)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -30*u**2 - 25*u + 25. Let o(d) = -4*d**2 - d + 2*d**2 - 84 + d**2 + 85 + 0*d**2. What is 50*o(n) - 2*p(n)?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1 + (-1)\/(-4) - 2. Sort -4, 5, y, -3.3.\nAnswer: -4, -3.3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365 + 645 = 30*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103113 (base 4) in base 6?\nAnswer: 111355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740798863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51140248 a multiple of 509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*b = -742*b - 88 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 2. Let u be (-1 - 4)\/1*-1. Suppose 0 = u*s - 25, 4*y - 4*s - s + 49 = 0. Give c(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.71. Let i = x - -0.81. Let l = i + 0.3. Which is the closest to 0? (a) 0.5 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/m**(3\/7))\/m)\/(m*m**(-2\/3)))**(-37) assuming m is positive.\nAnswer: m**(-185\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28251*c + 15030*c + 27332*c + 1016*c + 22855*c.\nAnswer: 94484*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 54 = 12. Solve -f = u, 3*f - 2 = 3*v + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 18 = -3*o. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 1. Let y(c) = 31*c - 2. Let l(x) = -2*r(x) + y(x). Let o(d) = 2*d. Give o(l(k)).\nAnswer: 70*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -19. Let c(y) = -y**2 + 7*y + 26. Let j(a) = -3*a**2 + 22*a + 79. Let l(p) = w*c(p) - 3*j(p). Let d be l(12). Sort -3, d, 5 in ascending order.\nAnswer: d, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) -5 (b) 0.2 (c) 14.4 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (6 - 3))*-1. Solve 0 = -2*f - 2, n + f + 4 = -y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*z**2 - 45*z**2 - 54*z**2 + 131*z**2 - 3*z**2 - 62*z**2.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 + 2.3. Which is the nearest to -2? (a) 1 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12) - (-87)\/9. Suppose 5*i + 6 + w = 0. Calculate the remainder when 15 + ((-6)\/(-1) - 4) - i is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/509 - -487\/1018. What is the smallest value in -303, y, 7?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 0*u - 2*u**4 - 8\/3*u**3 + 3 + 0*u**2. Find the third derivative of c(p) wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 - (-35 + 4 + (97 - 63))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1356)\/(-2486)*(((-8)\/(-6))\/4)\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4711091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 285978 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/25)\/((-4)\/(-10)). Suppose w*z - 8 = -0*z. Let c = 17 + -20. Sort -2, z, c in ascending order.\nAnswer: c, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 9.8. Let m = j - 1.72. Round m to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439264586347931 minus 0.3?\nAnswer: -439264586347931.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 25, 1\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/((p\/p**(2\/23))\/p)*p**(-9)\/p**(1\/5))**(-2) assuming p is positive.\nAnswer: p**(1636\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 9 - 2 + m**3 + 0*m**3 + 2. What is y(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 3*b**5\/4 + 5*b**4\/12 - 50*b**3\/3 + 30*b**2 - 414*b - 2. Determine c, given that t(c) = 0.\nAnswer: -3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 72. Let u be c(-30). Let p be 22\/8 + (-3)\/u*1. Solve p = -4*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2487 or 2454?\nAnswer: 2487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 939, 1629, 2309, 2979, 3639, 4289?\nAnswer: 4929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 58711, -64 in ascending order.\nAnswer: -64, -2, 58711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130973221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-12)\/(-4))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22936 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 - 15 - -1 - (-36 + 12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:22 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.2798571.\nAnswer: -1.1194284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837.\nAnswer: 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*s = -8*x - 10, -s + 5 = -4*x. Suppose 5*c - 2*z = 27, -16*c + 5*z = -11*c - 30. Suppose -c*q + x*q = -280. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -2*b - 261. Is 56\/(-196)*(-7062 - b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.11, -9\/2, 3\/5, -5 in decreasing order.\nAnswer: 1, 3\/5, 0.11, -9\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h - 18. Let o(g) = 56*g + 126. Let t(j) = -6*o(j) - 44*z(j). Find the first derivative of t(b) wrt b.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(768) - sqrt(768) - sqrt(768))\/(sqrt(726) + (sqrt(726) + -1*sqrt(726))*-6).\nAnswer: -64*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 41. Let l be r(0). Let b = -35 - l. Suppose -8*a + 38 = -b*a. What is the remainder when 34 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0475 + -0.0025. Which is the closest to -1\/3? (a) -5 (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128064 and 1728?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0985 + -37.5815. Let s = -37 - g. Let k = s + -1.38. Which is greater: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0\/(12\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1\/420*c**7 - 33\/40*c**5 + 5\/12*c**4 + 25\/3*c**3 + 153*c**2 - 1\/12*c**6 + 0 + 0*c. Factor i(n).\nAnswer: -(n - 1)*(n + 1)*(n + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/7 - -31\/21. Which is the second biggest value? (a) -1\/2 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229528.255 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99931621*d**3 + 3355*d**2 + 8234*d - 2.\nAnswer: -599589726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -40*w + 44*w - 18, 5*y = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3111 is divided by 344?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 195?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85342732 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 4, f: 2, w: 11}. What is prob of sequence wh?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 - 2262*z**2 - 77914*z - 33. Determine w(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1739 - -1739.81. Which is the second smallest value? (a) -4 (b) p (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83112822 - 46362822. Round q to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 1260*o**2 + 3 - 2 + 4036*o**2.\nAnswer: 2776*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6077807*g**2*k**2 - 2*g*k**2 - 17*g*k + 34*g + 8*k - 1 wrt g?\nAnswer: 12155614*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1845726 or -18\/13?\nAnswer: 1845726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 26, 63, 138, 263, 450, 711, 1058?\n\"Answer: 2*d**3 + d**2 - 6*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4278\/1380)\/(3\/(-60))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30043 (base 8) to base 10.\nAnswer: -12323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:16 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c\/c**5)**38 assuming c is positive.\nAnswer: c**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1306, -1308, -1310, -1312, -1314, -1316?\n\"Answer: -2*y - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-2))*c)\/c**(-6))**26 assuming c is positive.\nAnswer: c**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbubuu. Give prob of picking 1 b and 3 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 94*o**2. Let k(q) = 3*q**2 + 1030*q + 2. Determine k(d(h)).\nAnswer: 26508*h**4 + 96820*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (16 + (12 - 40))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 783037645*d**2 + 49505*d - 642.\nAnswer: 1566075290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -24) + (-15 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -2.5, 0.1?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, 5*l + 4*r - 34250 = -r. Round l to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -8. Suppose 3*c + 10 = -2*l, -l + 3*c = -c + 5. Put -6, s, l in increasing order.\nAnswer: -6, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 1. Let v(l) be the first derivative of 2*l**4 + 10*l + 8. Calculate 10*d(z) + v(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 0.2. Let o = 0.16 + -0.11. Let n = 23 - 23. Which is the second biggest value? (a) k (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257147 and 830126?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2746309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 - 118. Calculate the remainder when i is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9910 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: What is the value of 12 + (-9 - (4 + -9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Suppose 8 = 5*v - 2. Suppose 0 = 3*h + v*o + 12, 5*o + 17 = -4*h + 1. Let c(m) = -2*m**2 - 2*m - 2. Calculate h*z(k) + c(k).\nAnswer: -2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 20776.\nAnswer: 311640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:07 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*g - 84*g + 17*g + 26*g - 883 + 16*g to c + b*g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 3*a = 30, -14 = 2*n + 4*a. What are the prime factors of n*(-4 + (-76)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000047002219 to six dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*a - 18 = -6, 4*u = 4*a - 16. Let m be (-2)\/(-7) + (-30)\/7. Let k = u - m. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i**2 - 2*i**4 - 15*i**3 + 17*i**3 + 0*i**4 to the form y*i**3 + v*i**4 + b*i**2 + g + l*i and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8544 and 531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0702929 decades?\nAnswer: 0.00702929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 5 (c) -2 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, 2, 0, -1, -1362 in descending order.\nAnswer: 9, 2, 1, 0, -1, -1362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/9)\/(l*l**(-11)*l))\/((l*l**(-6\/17))\/(l\/(l\/(l*l*l**(-16))))) assuming l is positive.\nAnswer: l**(-796\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 6, 4*i = -0*v + 3*v - 68. Suppose 0 = -3*y + 2*r + 6 + v, 4*y - 3*r = 36. What are the prime factors of 2\/(-6)*y\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 873489, 873490, 873491?\n\"Answer: l + 873488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1814925 and 8475.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 6 - 3 - 2. Let a be u(-2). Solve -12 + a = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 0*v**2 + 0*v**2 + (-2*v**2 + 2*v**2 - 3*v**2)*(12*v + 19*v - 24*v))*(3*v + 3*v - 3*v) + v**4 + 5*v**4 - 3*v**4.\nAnswer: -66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*y = 3*a - 18, -4*a + 4 = 4*y. Suppose -4*h = 4*p - 88, 3*h - 32 = -a*p + 72. Solve 0 = 7*m - 3*m - c + p, 0 = 4*m - 3*c + 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l + 12 = 0. Let w = -1215 - -1222. What is the remainder when w is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156867?\nAnswer: 3, 52289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 18. Suppose 0*k = s - 4*k + p, 4*s - 2*k - 28 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 x when three letters picked without replacement from xuxu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 7650 - 7254 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85138?\nAnswer: 2, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 5*d - 1. Let u be w(-6). Let y = u + 7. Solve 5*m + 10 = i, m + 5*i - 4 + 32 = y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**3 + 41*o**2 + 33*o - 7. Is u(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*a + 8, -95*a + 94*a = 37*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 40, 1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 174873.663 to the nearest 100.\nAnswer: 174900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204*u**2 + 8406165*u + 2596041.\nAnswer: -3*(u - 41207)*(68*u + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9303 - -9485. Calculate the least common multiple of f and 70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26928 and 4074?\nAnswer: 18284112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 2*v + 3*v. Let k(l) = l. Give k(s(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -1, -69, -5 in decreasing order.\nAnswer: 7, -1, -3, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -43\/3*i**3 - 53*i + 0*i**2 + 0*i**4 + 2\/5*i**5 + 86. Find the first derivative of o(a) wrt a.\nAnswer: 8*a**3 - 86*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -31. Let c = s + -12. Suppose t + q - 5 + 3 = 0, -4*t = -q - 8. Solve -c = t*m - 7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c5 (base 14) to base 15.\nAnswer: 5ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 320\/(-14) - (470 + -494)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29208 - 29195. What is the remainder when 4701 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n*p**4 - 4*n*p**3*q + 4*n*p**2 + n*p*q + 3*n - p**4*q - 5*p**2*q wrt p?\nAnswer: 96*n*p - 24*n*q - 24*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 2, d: 3, v: 1}. What is prob of picking 1 b, 1 a, 1 d, and 1 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213\/4 - 53. Let o = -1.6 + 2. Which is the smallest value? (a) -2\/15 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - 19*z - 13*z**2 + 40*z + 2 - 22*z - z**3 in the form x*z + w*z**2 + m*z**3 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*a - 10 - 66, 3*a = -h + 134. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-1*-4 - sqrt(68)) + (sqrt(68)*1*6 - sqrt(68) - sqrt(68)))\/(-6*(sqrt(64)*-1 + sqrt(64) - sqrt(64))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1052.5, 256.6, -0.4 in increasing order.\nAnswer: -0.4, -2\/7, 256.6, 1052.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, u: 7}. What is prob of sequence wuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 14) to base 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = n + 95 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjk when three letters picked without replacement from gekyyykceyjyc?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21.00609us?\nAnswer: 0.000000005835025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1029, 977, 907, 813, 689, 529, 327?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/3208491 and -101\/2106?\nAnswer: 6416982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - g - 4*g + 15 + g. Calculate q(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -80. Calculate the common denominator of (5\/(-180))\/(u\/49) and 47\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 685*k - 7982. What is the thousands digit of x(38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/((q\/(q\/(q*q*q**(-13)*q)))\/q*q))\/q*q*q)\/q)**42)**(-26) assuming q is positive.\nAnswer: q**(-12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/216 and -139\/540.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-7 - 2) - -1 - (2 - -2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/228 and -42\/11.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - p**3 + 3*p**3 - 4*p**3.\nAnswer: -2*p**3 + 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 + -87. Solve 0 = s + 3*x - 0*x - 2, 4*x - 4 = z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 58*j**2 + 57*j - 7. Calculate c(28).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c + 5 - 5)*(-2 + 2 + 2)*(6 + 3 + 3) as f + l*c and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -220752 + -a?\nAnswer: -22075c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 3, h: 3, v: 11}. Give prob of sequence hshs.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-31)\/(1612\/(-39)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -424 + -523?\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5362534 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = -15*k + 38 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**3 + 4*z + 0*z**5 - 2\/3*z**4 + 0 - 1\/30*z**6 + 0*z**2. What is the third derivative of a(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Let z be 3\/(3 - 12\/5). Let w = 5 - z. Which is the closest to w? (a) -4 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 25*s**2 - 58 + 60.\nAnswer: 27*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 1980345.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33681987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose -7 = -3*k + 8*k - 3*d, -3*d = -4*k - 5. Let h = 17 + -12. Put k, u, h in decreasing order.\nAnswer: h, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 9\/5*l**5 + 0*l + 0*l**2 - 8\/3*l**3 + 0*l**4 - 9. What is the third derivative of y(f) wrt f?\nAnswer: 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i + 3*d + 3 = 0, -4*d = 4*i - 4. Solve -i = 4*t + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*i + 39, 4*m - 5*i - 39480 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.7 + -38. Let q be 63\/(-14) - (-12 - -8). What is the nearest to q in z, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a - 14*a**2 + 0 + 17*a**2 + 6.\nAnswer: 3*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 <= -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + 5*f**2 + 2*f + 14. Let r(a) = 3*a**3 - 6*a**2 - 3*a - 15. Let x(w) = 6*c(w) + 5*r(w). Let o(z) = z**3 - z + 4. Calculate -5*o(t) + 2*x(t).\nAnswer: t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 2*b - 4*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13663542 - -334?\nAnswer: -13663205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1503 - -6249. Suppose d = -105*h + 111*h. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(18) - (sqrt(450) - (0 + sqrt(450)))) + sqrt(18))**2 - -3*(sqrt(18) + sqrt(18) + sqrt(288))) + 5.\nAnswer: -54*sqrt(2) - 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10132 (base 5) to base 13\nAnswer: 3c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2324, -2322, -2320?\nAnswer: -2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3128626.\nAnswer: 2, 1564313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 * -2\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1254 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(4\/588). Let t = x - 18. Let m = t - 17. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 21. Suppose -c - 4*c - d = -22, x = 2*c + 2*d. Suppose 0 = -c*b, 2*n = 3*b - 0*b + 24. Calculate the smallest common multiple of n and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203 or 9?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58356590 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 13333721?\nAnswer: -7\/13333721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3. Let y(i) = -2*i**3 + 2*i - 14. Let c(q) = -5*f(q) + y(q). Let p(l) = l**3 - 3*l - 1. What is -5*c(t) - 4*p(t)?\nAnswer: 6*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.5 - -33. Sort w, 0, 1\/4, 8.\nAnswer: w, 0, 1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/11 - 1. Let l = 5 - -3. Suppose l*v + 3 = 7*v. What is the common denominator of k and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/(r\/(r\/(r*r**(1\/2))*r)))**26*(r\/(r\/(r*((r*r*r**(1\/12)*r)\/r*r)\/r*r))*r*r*r\/((r*r\/r**(-4))\/r))**47 assuming r is positive.\nAnswer: r**(3203\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 3. Suppose 4*o + 186 = -6*o - 52*o. Let j(l) be the first derivative of -l**2\/2 - 4*l - 1. Give o*j(z) - 4*m(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*n**2 + 51*n - 51*n)*(2 - 1 - 2)*(-3*n + 7*n - 2*n).\nAnswer: 70*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17a0b3 (base 13) to base 3\nAnswer: -1010010220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.91 + 0.09. Let v = -7.8 + d. Do v and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {h: 2, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4, 155, 1830\/13.\nAnswer: -1\/6, 4, 1830\/13, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168016 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -2. Suppose 0*l + 28 = v*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-4))\/(-3) - 234\/36. Let n be 24 - w*(-4)\/20. Suppose -26*c + 33 = -n*c. What is the remainder when c is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4 = 4*x, 28*r - 98*x + 108 = -100*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, i: 3}. What is prob of sequence ioio?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7471 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 + 6*m + 3. What is u(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 273540\nAnswer: 1\/54708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-10\/3))\/v)\/v**11)\/(v\/(v*v\/(v*v**(-2\/27)\/v))*v*v\/(v\/(v\/((v**(17\/5)\/v)\/v))*v*v)) assuming v is positive.\nAnswer: v**(-1601\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*k - 47*k - 15*k)*(11 - 11 - 6*k) + 3 - 3 + k**2.\nAnswer: 715*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -108\/2253337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 3*t + 4. Let r be i(8). Let b be 7 + 1 + 0 + 3. Calculate the greatest common factor of b and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246703 is divided by 1003.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31.3049 and 2.4.\nAnswer: 33.7049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780908.\nAnswer: 2, 197, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.272 - 3?\nAnswer: 1.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 14*l**5\/25 - 3*l**4\/2 + 13*l**3\/10 - l**2\/2 - 5920*l. Solve v(s) = 0 for s.\nAnswer: 1\/4, 5\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -13*a**6\/40 + a**5\/20 + 89*a**4\/3 - 677*a**2. What is the second derivative of z(v) wrt v?\nAnswer: -234*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.06 (b) 0.5 (c) -2\/3 (d) -3\/7 (e) -5\/752\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54635 divided by 3594?\nAnswer: 54635\/3594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Let a = -0.51764 + 0.11764. What is the closest to d in -4, a, -15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:22 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 22*y - 108. Let s be v(5). Calculate the common denominator of (-292)\/6 - 2\/(-3) and 686\/42 + (2\/3)\/s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {x: 2, q: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 - 10*z + 0*z**2 + z**2 - 51 + 12 - 2*z**3 + 2*z**3 in the form g*z + r*z**2 + k + a*z**3 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 = -2*z - 3*c, 2*c + 10 = 0. Let a be 2\/3 - 43\/z. Let j = -136 + 271. What is the highest common factor of a and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 19*r**2 + 3*r. Let o(d) = -12*d. Let g(h) = -13*h. Let s(w) = 145*w. Let x(q) = 45*g(q) + 4*s(q). Let z(m) = 4*o(m) - 10*x(m). Give z(b(u)).\nAnswer: 38*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - z = 3*o - 36, -5*o - 68 = z. Let x(d) = -d - 11. Let r be x(o). Suppose 4*s = 4*g, 0 = 5*s + g - 5*g - r. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*h**2 - 1254*h**2 + 155*h - 315*h + 22*h**4 + 160*h wrt h?\nAnswer: 528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c. Let y(p) be the third derivative of p**4\/8 - 72*p**2. Let a(b) = b. Let o(h) = -9*a(h) + 2*y(h). Determine o(r(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yayyyyyayay?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 23*w + 51. Calculate x(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 52.5. What is the nearest to -2\/9 in u, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*-0.5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) -1\/2 (b) 1\/3 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d + 2. What is the second derivative of -86*i**2 + 44*i**2 + 29*i**3 + 34*i**3 - 119*i + 44*i**d wrt i?\nAnswer: 378*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2140.302 micrometers to millimeters.\nAnswer: 2.140302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 - 30*z**3\/7 + 52*z**2\/7.\nAnswer: 2*z**2*(z - 13)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.84889 - 0.76. Let z = -0.09 + v. Round z to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 + 3) - 2 - (6 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2 - 1360*l - 24077?\nAnswer: -4*l - 1360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 6*i - 6. Let x be k(-5). Is -0.2 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/5 + 3589*r**3\/5 - 48852207*r**2\/5 + 87228660971*r\/5 + 87277516766\/5 = 0.\nAnswer: -9614, -1, 3013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7413439 micrograms?\nAnswer: 0.0000000000007413439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205\/104 + -17\/8. Let c = 814.71 + -810. Let h = c - 4.8. What is the third smallest value in l, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2302366*o**3 - 654862.\nAnswer: -6907098*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -15. Let g = 26 + s. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 15\/(-20) + 3\/4 - -8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-68)\/(-8))\/((-2)\/(-68)). Let h = -431 + d. Let v = h + 227. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14212 and 5610?\nAnswer: 213180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 132 = -2*x + 47, 5*x = -4*i - 0*i + 467 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(6*15\/(-200)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061 is divided by 293?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o = 110*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7485 is divided by 151?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 153717*b**3 + 5907305874*b**2 - 5906229868*b - 35442912984.\nAnswer: (b - 76858)**2*(b - 3)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3439.831 - 8190.882. Let g = -4759 - r. Let y = g - -8. Round y to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/81 and (7\/(-36))\/(18\/(-189)).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 5:27 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o + 3264 = 0. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2976 + -2958. What is the greatest common factor of d and 1503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 455, 462, 467, 470?\n\"Answer: -d**2 + 10*d + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1836, 3706, 5582, 7464?\nAnswer: 9352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**3 - 4*o**2 + o - 4. Let g(x) = 10*x**3 + 3*x**2 + 3. Calculate -4*g(f) - 3*p(f).\nAnswer: -7*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 8 = 3*o, 6550 = 5*r - 5*o + 6580 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -4, -0.2, 0.52?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:14 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111110111010001 (base 2) to base 9\nAnswer: -48157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4264, 3, 2, -1\/3, -5.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 1, l: 10, f: 3, i: 3}. What is prob of sequence ll?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:56 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14456 + -9760. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*b + 3368 = 2*l, 0 = l - 5*b - 872. Suppose 0 = -0*y - 7*y - l. What is the tens digit of 11\/(-55) + y\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.224, 6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.8 + -38.5. Suppose 0 = -2*l, -2*n = 2*l - 4*l. Which is the fourth smallest value? (a) -2\/13 (b) r (c) n (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22910 divided by -10?\nAnswer: 2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 15 + 3*x + (3*x + 2*x - 3*x)*(2 - 1 - 3))*((-1 + 1 + x)*(2 - 4 + 0) + 3 - 3 + 4*x)*(-3 + 0 + 1) in the form r*x + i + f*x**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 43*i**2 - 73*i + 214. Give j(-41).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*a + 13. Solve 0 = -a*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171687?\nAnswer: 3, 151, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 420.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u + 24 = -32*u. Let q(b) be the third derivative of -b**5\/60 + 7*b**4\/24 - b**3 + 2*b**2. What is the units digit of q(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9*k = -210. Suppose 0*h - 5*h + k = 0. Let i = -3 + h. Solve 0 = i*m - 2 - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/24 + j**3\/3 + j**2. Let x be a(0). What is the second derivative of -2*k + k**2 - k**x - 2*k**4 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31595 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-3\/5)))\/(q*q\/(((q*q\/q**(-2))\/q)\/q)*q*q))**(20\/11) assuming q is positive.\nAnswer: q**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241531?\nAnswer: 41, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - -8. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 4)*(-3*i - 2*i - 5*i)*(1 + 0 + 0) - 3*i + 0*i + i as y*i + o and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12462 + -12462.8. Which is the fifth biggest value? (a) -1.2 (b) 0 (c) -1 (d) m (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c + 2 - 9*c - 6*c**2 to v + l*c + u*c**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v - 6. Suppose -5*s - i - 1 = 0, 3*s + 2*i = -0 - 2. Is v less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225314 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 1. Let j be a(-1). What is the first derivative of j*i + 1 - 2*i**4 - 2*i wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t. Let s(r) = 124*r - 50 + 114*r + 117*r - 356*r. What is s(m(n))?\nAnswer: -8*n - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 7688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86.2 - -87.2. What is the biggest value in 2\/13, 5\/2, d, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1878.3122 to the nearest ten.\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1953, 1931, 1897, 1845, 1769, 1663, 1521, 1337?\n\"Answer: -g**3 - 15*g + 1969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + -3.96. Let x = s + 3.99936. Round x to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 146*y - 5*y - 6 in the form q + h*y and give h.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 16*p + 14. Let o(w) be the third derivative of w**4\/3 - 35*w**3\/6 + 15*w**2. Let n be o(6). What are the prime factors of v(n)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 61 + 17)*(1 - 2 + 3)*(-f - 3*f + 3*f) to m*f + p and give m.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1390\/163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3436*l**2 + 2267. Let i(c) = -10303*c**2 - 6802. Let x(m) = -2*i(m) - 7*j(m). Differentiate x(d) with respect to d.\nAnswer: -6892*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 15*i = -9. Suppose -2*m + 2 = 4*t, t + 5 = i. Solve c - m*p = -14 - 2, -3*p = -9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-217)\/63 + 12\/27. Let o(x) = -7*x - 3. Let b(r) = 3*r + 3*r - 7 + 5 + 4. Calculate w*b(c) - 2*o(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 29*q = 38*q + 6, -4*j + 8 = 4*q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (2 + 0)\/(-4) + 42\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 49 + 62 + 3*j)*(3*j - j - j).\nAnswer: 2*j**2 + 111*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 96 = -3*n, -2*z = -6*z - 2*n + 96. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (10 - (-6)\/(-3)))*2. Suppose 32 + i = 6*j. Calculate the greatest common factor of j and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -113*b + 644. What is c(3)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2\/181 (c) 2 (d) 2\/355 (e) 0.5 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let w(j) be the first derivative of -26*j**2 - 46. What is w(q(h))?\nAnswer: 104*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000939035 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -5 + 3 + 5 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/18 + (-10)\/(-45). Let w(h) = -h - 19. Let x be w(-15). Let l = 1.4 - -0.6. Which is the biggest value? (a) l (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2450420 and 1960336.\nAnswer: 9801680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666 = 35*r - 736. Solve z - 3*s = -r, 4*s = -11 + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259856907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 2\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 457925 and 0.5.\nAnswer: 228962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -162*a**2. Let g(f) = 269*f. Calculate g(c(n)).\nAnswer: -43578*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a. Let d(h) = 4*h - 51 - 2*h + 4 + 5. What is r(d(g))?\nAnswer: -10*g + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 145 = 3*q, -2*q + 5*o + 170 = 2*q. Suppose -x - q = -2*h, -5*x = 2*h - 21 - 18. Calculate the highest common divisor of 55 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 3. Let r(t) = -3*t - 2. Let i(j) = j**3 + 5*j**2 + 5*j + 7. Let p be i(-4). Calculate p*r(d) - 2*v(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1932 and 744.\nAnswer: 119784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/1651, -26, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/340451 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqqgqnamyagq. What is prob of sequence mgg?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/40 + 11970\/3800. Solve 17*a - 8 = 14*a + 2*r, 0 = u*r + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 22*x. Calculate q(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(891)*2) - (1 + -1 + (sqrt(396)*1)**2).\nAnswer: -371 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -o, -2*o + 0 + 1 = 3*f. Let s = 0 + -0.2. Let r = -0.6 - s. Put 0, o, r in increasing order.\nAnswer: r, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*q = -2*q + 19, -5*g + 4*q = 30. Let i be (-1)\/(((-7)\/g)\/(-7)). Factor 8*j**2 - i*j**4 + 5*j**2 - 3*j - 4*j**2 - 7*j**4 + 3*j**3.\nAnswer: -3*j*(j - 1)*(j + 1)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -14) + -6 - (2 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -76, 0, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (14 + (-29 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**3 + 5*u - 3. Suppose 88 = 7*y - 18*y. Let h(a) = -14*a**3 + 8*a - 5. Give y*x(r) + 5*h(r).\nAnswer: 2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-14\/9)\/d))\/(d**33*d*d)*d*d\/(d\/(d\/d**(-17))*d)*d**(-24)\/d*d assuming d is positive.\nAnswer: d**(-337\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -26. Suppose -s*a + 7 = t, -2*a - 6*t + 2*t = -10. Suppose 83 = 2*v + 5*y, a*v + 0*v + 2*y = 119. Calculate the highest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**3 + 143*x**2 - 143*x**2)*(-1 + 1 - 2*x)*(3*x - 4*x - x) - x**4 + x**4 + 2*x**5.\nAnswer: -58*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 207517865 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 4840*g - 24196. Give v(-5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - l - 1 = 4*g, -4*l = 4*g - 48 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.581 (c) 1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/40 + 137*g**4\/24 + 370*g**3\/3 + 861*g**2. What is the first derivative of u(h) wrt h?\nAnswer: 9*h**2 + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 103?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 19*k - 13. Is j(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 + 316 + 222 + 308 - 1470 - 4*p**2 + 313.\nAnswer: -4*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 4*x + 28, -34 = 74*f - 70*f + 2*x for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/12)\/((-42)\/112)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1165719 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let w(z) = 4*z. Let u(g) = 3*a(g) + w(g). Let c(f) be the second derivative of -3\/2*f**2 + 0*f**3 - 1\/4*f**4 + 0 - 244*f. Determine c(u(i)).\nAnswer: -3*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/3 - 5*m**2 + 11*m + 23. What is s(11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218548.\nAnswer: 2, 11, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 447541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 21\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120519 and 80346.\nAnswer: 241038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081887 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134 take away -1.42?\nAnswer: 1.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3485950, 6971897, 10457844, 13943791, 17429738, 20915685?\n\"Answer: 3485947*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 48 = -4*s, -4*s - 22*z + 17*z = -46. Suppose -s*v + 5962 - 474 = 0. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 838*d**6*i - 180*d**3*i**3 + 27*d**2*i**2 - 6095*d*i**3 wrt d.\nAnswer: 100560*d**3*i - 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263 - 525\/2. Which is the third smallest value? (a) -2 (b) 5 (c) f (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -6)\/(-6) - 8\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16728 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3850145, -15400599, -34651359, -61602425?\n\"Answer: -3850153*a**2 + 5*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*c*k**3 + 2*c*k - 15*c - k**5 + 5*k wrt k.\nAnswer: 624*c*k - 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**3 + 4*h**2 + 8*h + 3. Let o(q) = q**3 + q + 1. Let j(v) = -6*o(v) + u(v). Give j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*b + 43. Let a be (b + -3 + -1)*119. What is the greatest common divisor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 31 = 998. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 5) in base 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-20)*13\/(-13). Let x = 11.1 - 11. Which is the second smallest value? (a) -2 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70*-18\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 47. Let x be ((-2)\/(-6))\/(16\/6). Which is the second biggest value? (a) x (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 28 = 3*o. Suppose -o + 1 = -3*l. Suppose l*k - 9 = 1. Solve k*h = -r + 25, 3*h - 5*h + 18 = 2*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/2 - 23*o**4\/2 + 73*o**3 - 104*o**2 = 0. What is o?\nAnswer: 0, 2, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2765\/(-474))\/((-4)\/(-24))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67914.34849031 - -67846019.34886431. Let r = -67777777 + f. Let n = r - 328. Round n to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4610*c + 231. What is the ten thousands digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87945 > -87946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -2538, 5361.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-12)*780\/(-585) + -87?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from xuuxuuuxuxbbuuubbbub?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1819 + 1835. Calculate the greatest common factor of 156 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -5*h - 44. Suppose 12*k - 95 = -h. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 times 25?\nAnswer: 13300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3814936 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30400093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.036 and -7238?\nAnswer: 7235.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 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 6138634 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13310302023 (base 4) to base 16.\nAnswer: -1f4c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817035?\nAnswer: 3, 5, 54469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 46, 64, 88?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1, 0, -2 in increasing order.\nAnswer: -4, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)*n*n\/(((n**(3\/5)*n)\/n)\/n)*n**(-7)\/(n**(-1\/16)\/n))\/((n*n**(-3))\/n*n**(3\/2)*n)**(-25\/6) assuming n is positive.\nAnswer: n**(-3727\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7089 + -7086. Solve -4*c = 3*c + s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c**1*c)**(-6\/31)*(((c**(2\/3)*c)\/c*c)\/c**(4\/5))**12 assuming c is positive.\nAnswer: c**(10924\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 42*i**2 - 116*i - 34. Let h be a(39). Solve -9*o + 11*o = 0, 3 = b - h*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 2*n. Suppose n*d = d. Suppose 4*i + 4*w = 44, -2*i - 4*w = 3 - 17. Solve d*v - 5*v + i = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-3))\/(30\/135). Suppose w - z = 11. Let v = 40 - w. What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/45 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1834*v**3 + 60*v + 28*v**2 + 3663*v**3 - 1830*v**3. Calculate n(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3255139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 14*v**2 + 23*v + 34. Give z(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -662.6 - -662.600006239. Round k to 7 decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7800 + 7802. What is the closest to -0.1 in 3\/7, 3, i, -74?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134259 + -40789. What is p rounded to the nearest one thousand?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 159236 = 2*n + 10*n. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*w - 2*s + 19, -48 = -4*w + s. Suppose -102 + w = -5*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 11) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + (-69 - -69).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149819235?\nAnswer: 3, 5, 9987949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 257145323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/3)*j)\/j**(1\/7)*j**8*j\/(j*j*j**3))**(2\/17) assuming j is positive.\nAnswer: j**(274\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {v: 3, t: 17}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.98 - 17. Let g = 14.72 - 15. Let j = p + g. Which is the second biggest value? (a) -1\/4 (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*v - 7 = 0, -17 = 5*o - v + 3*v. Let r(q) = q**3 + 6*q**2 - 2*q + 1. List the prime factors of r(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -116489.966 to the nearest one thousand.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34172438 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 745, 1177, 1679, 2275, 2989, 3845?\nAnswer: 4867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b05ac (base 15) in base 5?\nAnswer: -1012430122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -292 + 267. Let h = -41 + 8. Let c = o - h. Calculate the remainder when 15 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 17*p - 2649 = -5*l, 5*p + 1578 = 3*l. What is the greatest common factor of 236 and l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34493 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 0.2 (c) 0.081 (d) 0 (e) -105 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 0*i**3 + 0*i**3 + (-6*i + 4*i + 4*i)*(0*i**2 - 2*i**2 + 4*i**2) - i**3 + i**2 - i**2 - 1 + 2*i**3 + 1 + 1338*i**3 + 206*i**3 + 181*i**3.\nAnswer: 1731*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 68 = -4*x, 0 = -0*m - m + x + 13. Let g = -15 + m. Suppose 5*k = -g + 20. Solve -k*o = -12 - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-6 + 721\/119). Suppose -c + 3*j + 679 = 0, -12*c + a*c + 5*j = 3475. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 22. What is the least common multiple of 28 and q?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 20 = -3*f, -4*u - 2407 = -3*f - 2364. Let p(j) = -j**2 - 5*j. Let l be p(-4). Solve -f*x = l - 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1379 and 1773?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 156?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2480 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/12)\/(88\/((-3168)\/(-18090))).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 3796*n + 71772. What is c(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1022*m - 517*m - 511*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4350 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*n - 13*n + n)*(5 - 3 - 4)*(-4*n**3 - 48 - 6*n**3 + 9*n**3) to t*n + o + i*n**3 + m*n**2 + f*n**4 and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(6\/23)\/l**36)\/(l**(-1)*l*l*(l\/(l*l**(-10)))\/l))**18 assuming l is positive.\nAnswer: l**(-18936\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 5*u + 36 = -4*v, -2*v + u = 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = -414. Let w = y + 48. What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/20300 and 23\/22?\nAnswer: 223300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {l: 1, i: 2, f: 2, d: 6, y: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11072749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(91) + sqrt(91)*1 + sqrt(91))\/sqrt(7) + 3 + sqrt(13) + sqrt(13) + sqrt(13) + 2 + sqrt(13))**2 + sqrt(143)\/(-2*sqrt(396))*-1).\nAnswer: -662 - 841*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102121034411 - -1?\nAnswer: -102121034410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124855 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-27)*(-1)\/1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 26. Suppose -46*r + 249 = -a*r. What are the prime factors of r?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -6 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) -3 (b) -5 (c) -4 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105099, -94826, -84555, -74286, -64019?\nAnswer: -53754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -20*k**4 + 3*k**3 - 19*k**2. Let i(m) = -m**3. Suppose 0 = -17*d + 36 - 2. Let j(v) = d*s(v) + 6*i(v). Find the third derivative of j(b) wrt b.\nAnswer: -960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302759?\nAnswer: 3, 144751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d - 1. Suppose 5*l - 3*t = 18, 3*l - 2*t - 8 = l. Let y(s) = s + 1. Let a(k) = -3*k - 6. Let w(x) = a(x) + 4*y(x). Let q be w(l). What is p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3442 and 3.\nAnswer: 10326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.198 and -0.29?\nAnswer: -0.05742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 1. Let o(k) = k - 19. Let r be o(15). Calculate g(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*q + 9, 3*q - 7*q = 3*n + 12. Suppose n = -4*f + 161 - 21. Suppose 2*y - 10 = 0, -3*y - 2*y = -5*a + f. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 2*j + j**2 + 6*j - 2. Give t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/(-648)*(-8343)\/1854\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/800 + (4 - 954\/525)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252647323 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n. Let u be a(1). Suppose h = -h + u. Solve 3 = -2*y + h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444 divided by -111.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121315544 and 1414.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 6*l**2 + 3*l - 11. Let x be w(6). Suppose -109 = x*k + 318. Let q = -19 - k. Calculate the remainder when q is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i\/i**(-3\/4)))\/i*i)\/i*i)**43\/(i**(-3\/5)*i\/(i\/(i*i\/(i\/(i*i\/i**(-7\/3)*i))))) assuming i is positive.\nAnswer: i**(301\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2434 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3345\/10*((-1)\/(-3) - 1). Let t = 221 + p. Let s = 1 - 2. Sort t, s, 5 in descending order.\nAnswer: 5, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a = 2. Suppose -5*b + 1 = -4*f + 2, 0 = f - a*b + 2. Suppose f*r - 10 - 10 = 0. Solve n = p + 1, 3*n = r*p - 0*n - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -55*l**3 - 11*l**2 + 11. Let n(o) = -11*o**3 - 2*o**2 + 2. Calculate -11*n(t) + 2*p(t).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 5.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 + 82*t\/9 + 76\/3 = 0. What is t?\nAnswer: -38, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 3*h**5\/5 - 3*h**4\/4 + h**3\/4 - 45. Factor k(s).\nAnswer: 3*s**2*(2*s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 + c - 5. Let y(b) = 7*b**2 - b + 9. Let t be (21*2\/14)\/1. Calculate t*y(h) + 5*z(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 - 557*m**3\/2 - 1108*m**2 - 1106*m.\nAnswer: -m*(m + 2)**2*(m + 553)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*h**4 + 384*h**4 - 140*h**4 + (0*h - h + 0*h)*(2*h**3 - 2*h**3 + 2*h**3).\nAnswer: 183*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (16 + -1 - 12)) + -49.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {m: 1, g: 2, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237039034 divided by -2.\nAnswer: -118519517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2*k**2 + 2*k + 41. Calculate the remainder when z(0) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 23 - 57. Suppose 2*g + 3*c - 2*c - 6 = 0, 4*c + j = 2*g. Calculate the highest common factor of g and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 + 27. Let h = c + 237. Round h to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + l + 6 = 0, -3 = -2*f + 2*l + 3. What is the closest to -0.1 in f, -1\/7, -1\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4751, 9208, 13099, 16142, 18055, 18556, 17363?\n\"Answer: -47*n**3 - n**2 + 4789*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 89 + 5 + 0 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2 - 2*a + 1. Let y be q(1). Let m(z) = 3*z. Let r be m(-1). Let n = y - r. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/108 and (3444\/(-23985))\/(1 + 6\/(-15))?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 41 = -3*a, -5*j + 2*j = a - 9. What is the greatest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = u. Let k = 123 - 121. Let b be 4*(k\/(-9) + (-39)\/(-54)). What is the smallest value in u, b, 12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 2. Let z be v(-4). Is (z - 0) + 42\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 706435236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*-4 + sqrt(315) - sqrt(175)\/(sqrt(20)\/sqrt(4)))\/(-1*sqrt(5)*3 - (sqrt(605) - sqrt(605)*-2)).\nAnswer: 5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 29\/3*j**3 + 23 + 0*j**2 + 1\/60*j**5 - 11\/540*j**6 + 0*j + 0*j**4. Let p(y) be the third derivative of b(y). Factor p(l).\nAnswer: -2*l*(11*l - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 0, -2*s + 1677 = 5*t - 4*t. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 9\/262 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.15049086081?\nAnswer: -0.24950913919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17909804 and 1298?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5976 = 30*d + 219*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*j + 2 = 0, z - 5*j = -26 + 32 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l - 351. What is the common denominator of (-303)\/30 - 133\/(-76)*4 and l\/28 + (-1)\/(-4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = z - 39, 2*z + 0*q + 3*q - 57 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41418*k - 41398*k = 180400. What are the prime factors of k?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8491 (base 10) to base 4\nAnswer: -2010223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2272 + -1330. List the prime factors of p.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 58 = -3*h, -100 = -5*h - 0*h - 5*n. Suppose p + p = h. Suppose p*w = 5*w + 1524. Is w 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 8031253?\nAnswer: 8031253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 - 13)*(-1 + (-11)\/(-5)). Solve 0*t = 2*t - j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 62*z**2 - 3*z. Let k(f) = f**2 - f - 11. Let g be k(4). Is r(g) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4475095.\nAnswer: 5, 97, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-714)\/(-735) - 4\/7. Let q = 3088\/39 + -238\/3. What is the closest to 0 in z, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/7, 3, 1, 1\/9, 3\/35 in increasing order.\nAnswer: -9\/7, 3\/35, 1\/9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46007.17 centuries to decades.\nAnswer: 460071.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89)\/(-4 - (1 + 8) - (19 + 132\/(-4))).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*n + 38*l**3 - 19*l**2*n + 22*l*n + 340*n wrt l?\nAnswer: -6*l*n + 228*l - 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20785958.\nAnswer: 2, 887, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u = -5*t - 45, 63 = 5*u + 4*t. Suppose 2*j = 7*j - u. Suppose j*l - l - 14 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 30. Suppose -n + 14 = -3*d, -v*d = -3*d - 4*n + 20. Which is the closest to 0? (a) d (b) 5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*z - 2940 = 417*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 1572.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 minus 217?\nAnswer: -224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411895 is divided by 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*x - 5*n, 2*n + 23 = x + 3*n. Let z be (2 - 22\/(-7))*(-1064)\/(-228). Let i(y) = x*y - 12 + z - 12. Let h(f) = -2*f**2. Calculate i(h(o)).\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 + 12*d**2 - 520*d + 1344 = 0. What is d?\nAnswer: -14, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -36. Let h = 37 + i. Suppose -98 = -2*g - h. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*g + 2*f, -f + 1 + 3 = 0. Suppose g*w - 4*w - 2 = 0. Let z(s) = -3*s**w - 4*s**2 + 2*s**2. Let t(j) = 2*j**2. Calculate t(z(a)).\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (2 - (-13 - -10 - -16)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -29 + (-3 - (-1 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s + s - 3*s + (s - 4*s - 2*s)*(-3 + 1 - 1).\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18155000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/427 and -55\/71568?\nAnswer: 4365648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 36?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -157099556.\nAnswer: -157099555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 262897109 to the power of 1\/3, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j + 4. Put -1\/6, j, 2\/3 in descending order.\nAnswer: 2\/3, -1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 342\/1783 (b) 5 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517463178 to the power of 1\/2, to the nearest integer?\nAnswer: 22748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2303990 is divided by 142.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/6 - (-11)\/((-154)\/(-168))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 5 + -1 + -4 - -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1233 + 1234. Is 9\/661 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 27*y. Suppose y*n = 5*n + 10, 4*a - 4*n = 184. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-12) + (5 - 175\/28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 15*r + 36. Give m(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 3*g - 16. Let h be q(6). Solve -4*o - b = 7, h*o + 1 = 4*o - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = 4*r, -v + 18 - 31 = r. Suppose -3 + 5 = f. Suppose 3*n - 8*n - 3*i - 17 = 0, -2*i + f = 0. Sort 1, n, r in descending order.\nAnswer: 1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0487, 0.4, -0.28?\nAnswer: 0.0487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 2 (c) 2\/11 (d) -8 (e) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + 2)*4\/8. Find the third derivative of 12*q**4 + 5*q**2 - 33*q**s + 21*q**2 wrt q.\nAnswer: -504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 5*r - 4. Let n be u(3). Suppose -m + 12 = n*m. Is m <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1082*x - 505. Let w(m) = -3236*m + 1513. Let y(z) = 13*c(z) + 4*w(z). Differentiate y(g) with respect to g.\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1480, 2960, 4450, 5956, 7484, 9040, 10630?\n\"Answer: o**3 - o**2 + 1476*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1372.5 times -0.2024\nAnswer: -277.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -17 in decreasing order.\nAnswer: -5, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -11) + -17 + 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168.93 + 169. Which is the closest to 0.1? (a) 4 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 14758.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 76. Let i be (c\/(-30))\/4 + 3\/9. What is the third smallest value in 2\/11, 0.5, -5, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-448)\/(-28) - (-2)\/4*-2) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2892433*p**2 + 8677290*p**2 - 2892421*p**2 - 2892423*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8 + 2 + d**2 - 8*d - 3*d. List the prime factors of s(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104, 193, 266, 323, 364, 389?\n\"Answer: -8*c**2 + 113*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - ((-126679)\/21 + ((-5)\/3 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1284*i - 17*i**2 - i**2 + 8*i**2 - 1284*i - 6*i**2. Let w(m) = m**2 - 1. Let u(j) = 12*j**2 - 5. Let a(z) = u(z) - 5*w(z). What is c(a(n))?\nAnswer: -784*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(-2 - 1 + 1)*(2 - 5 + 1)*(6*x**3 - 4*x**3 + x**3) in the form d*x**2 + a*x + b*x**3 + w and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -23478 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.1641 + -0.6641. Which is greater: a or 3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 803 + -111. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 340*g + 2432. Let c be w(7). Let o(d) = d**3 - 2*d + 1. Let r be o(2). Find the second derivative of v**5 - 3*v + v**5 + c*v**r + 15*v wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/24 and 1794\/144 - 5 - (-8)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + sqrt(243))*-2 - ((sqrt(15) + 6*sqrt(45)\/sqrt(3))\/sqrt(5))**2).\nAnswer: -154 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14099893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 - 13 = -2*b, -4*b = -16. Suppose 5*u + 90 = -4*a + 636, -v*a - 4 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -9. Let s = 21 - m. Calculate the remainder when 19 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbblrbxlllls. Give prob of sequence sl.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - -6 - (-3 - -15). Let l(g) = -g + 23. Let x(j) = -2*j + 46. What is v*x(k) - 5*l(k)?\nAnswer: k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {w: 1, m: 2, p: 7, e: 2, g: 1, z: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15732 + -3.\nAnswer: -15735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. Let p be (-6)\/h + (-18)\/6. What is p rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 9 = -p, 366*j + 3*p + 7 = 364*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 5, 3 in decreasing order.\nAnswer: 5, 3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -32. Suppose 5*u + 8263 = 3*d - 4*d, s*u = -4*d - 4951. What is the common denominator of (-6)\/(-39) + u\/858 and -83\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -5.7, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) - 18\/(-8). Suppose -z*n - 3*q + 0*q + 11 = 0, 12 = 4*q. Let x(u) = -1 - 4*u - 2 + n. Determine x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -60066098\nAnswer: 60066108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:56 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14368 + 17849. What is the remainder when m is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42136\/3 - 445\/(-267) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 16*a**6\/195 + 16*a**5\/65 + 5*a**4\/26 - 2*a**3\/39 - a**2\/13 + 8*a. Determine t so that o(t) = 0.\nAnswer: -1, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 585.33 + -1.33. Let s = l - 584.00321. Round s to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/3)\/r**6*(r**6\/r)\/r*r**(2\/7)\/r*(r\/(r\/(((r\/(r**0\/r))\/r*r)\/r)))**15*(r**1)**(2\/5) assuming r is positive.\nAnswer: r**(1297\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14753623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -585 and -7252124.\nAnswer: -7252709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(7)*2) + -1 + 0 + -5.\nAnswer: -6 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 less than -0.02441?\nAnswer: -7.92441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.283 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.3. Let p = 0.1 - g. Let o = 10.4 - 17.4. Put o, -2, p in decreasing order.\nAnswer: p, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/6 + (-623)\/(-21) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/3 - -4)*13. Suppose 0 = 3*d - 5*t - v, -2*t - 16 = -d - 3*d. Let c = d + 2. Solve f = 3*f + c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (29 - 0 - 0)\/(15\/15). Let h = -1 + 6. Let k = h + 0. Solve -3*l - 5*a = 2*l + 15, -2*a + c = -k*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60a5049 (base 11) to base 3.\nAnswer: -202021210210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from ltnea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from {i: 8, r: 2, s: 1, o: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2 + 0*o**2 + 2*o**2 + 10 + 0*o**2 - 9*o. Let g(w) = -w**2 + 4*w - 6. Let v(t) = 5*g(t) + 3*n(t). Calculate v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-2) + -3 + 3 + 0. Let h = -11 + n. Suppose -2*m + h*q + 16 = -0, -5*q = 3*m - 43. Calculate the least common multiple of 4 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114604300 - 4?\nAnswer: 1146042a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 2. Let l be g(-6). Let v(i) = i**2 + 2*i - 1. Let d be v(l). Let t = 9 + d. Solve -5*c + c = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {g: 15, f: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 32. Let t(y) = -6*y + 1. Let d be t(-1). Suppose 5 - d = -o. Calculate the least common multiple of o and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672846543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54415314?\nAnswer: 2, 3, 335897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 20 = 3*l. Let a(f) be the first derivative of f**5\/20 - f**4\/3 - f**3 + f**2 - 4*f + 4. Let k(j) be the first derivative of a(j). What is k(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -10b1a?\nAnswer: 10b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*g**2 - 162*g**2 - 164*g**2 - 166*g**2 + 657*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464*c = -13*f - 1463*c + 14, f + 56 = -4*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15531655 and 24850648?\nAnswer: 124253240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.33 (b) -0.3 (c) -0.1 (d) -5\/4 (e) -68 (f) -2\/3 (g) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.402801km to nanometers.\nAnswer: 1402801000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g + 40*g + 40*g + 33*g - 200*g + 40*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -9611?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 5, t: 5, i: 4, a: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - j - 1, 0 = 4*j + j + 25. Solve -83*t + 99*t - 2 + 15*t**4 + 17*t**k - 16*t**3 - 30*t**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 14*q + 23*q + 100 = -0*g - 7*q, 3*g + 4*g - 3*q - 65 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-95 + 36 - 6)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from ruukruurur?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -1)**2 + (-5 + (sqrt(19) - sqrt(38)\/sqrt(2)))**2 + sqrt(19) + 4 + 1.\nAnswer: -11*sqrt(19) + 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3760, 7518, 11262, 14980, 18660, 22290, 25858, 29352?\nAnswer: 32760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289892 to the power of 1\/2, to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 0)*3 - (-1*sqrt(272) + 3))**2.\nAnswer: -96*sqrt(17) + 4361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21512935 - 2?\nAnswer: -21512937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54237\/(-606))\/((-14)\/4) + 6\/14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110763 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 987 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.12 and -0.13.\nAnswer: 1.4456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -75340 times -0.3?\nAnswer: 22602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5424 at least -5426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.3*232.6173.\nAnswer: 6583.06959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*d - 2*d + 30839 - 30828, 0 = 2*j - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 8*z + 4. Let p(n) be the third derivative of -n**5\/20 + n**4\/6 - n**3\/3 - n**2 - 96*n - 6. Determine -2*d(k) - 5*p(k).\nAnswer: 5*k**2 - 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 51*s = -792. Let t = -36 - s. What is the remainder when 116 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 3. Let l = 103.8 - 104. Which is the third biggest value? (a) q (b) 4 (c) l (d) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**2*f**3 + 102*c**2 + 3*c*f - 2*c - 49*f**3 - 33 with respect to f.\nAnswer: 33*c**2*f**2 + 3*c - 147*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 + -186.1. Let s = -7.3 + 7. Which is the third biggest value? (a) 1\/4 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 - 277. What is the third derivative of v**5 - 9*v**5 - 29*v**t + 75*v**2 wrt v?\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 44. Let f be n(-10). Let x(g) be the third derivative of 0*g + 16*g**2 - 1\/6*g**3 + 0 - 1\/8*g**f. Calculate x(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 342 + -11907?\nAnswer: -11595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w - 9. Let d be x(-4). Let c = 324 - 321. Let i be 14\/d - c\/18*-34. Solve -6*j + 2*o - 1 = -j, i*j + 2*o = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by 2\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - -50. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 4769?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.119 + -41. Let m = y + 108.881. Let z = -108.51 + m. What is z rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91\/36 + -22\/9. Let r = -96 - -95. Which is greater: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, 0, 80, 142, 180, 188, 160?\n\"Answer: -d**3 + 99*d - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 205, 214, 227?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 596924 by 13.\nAnswer: 596924\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 259 = -q - h, 4*q - 672 = 2*h. What is the remainder when 655 is divided by q?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 81*k + 11177. Give f(-138).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14750?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose -x = -36 - g. Calculate the highest common divisor of x and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -318, -317, -312, -303, -290?\n\"Answer: 2*x**2 - 5*x - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*y**3 - 50*y**3 + 506*y**3 + 2*y - 57*y**3 in the form m*y**3 + v*y + d + i*y**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -7*f + 9*f - 5766, f - 3*t = 2883. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r + 10. Let z(m) = 3*m - 1. Let l(b) = 5*b - 1. Let p(a) = a**2 - 5*a - 1. Let c be p(4). Let k(x) = c*l(x) + 8*z(x). Determine -10*k(f) - 3*t(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.67980151 times -0.2\nAnswer: -0.935960302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 184 + -792567159\nAnswer: -792566975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.21602 rounded to 1 dp?\nAnswer: -161.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - 2 - (-4 - 5). Sort -4, -1, y, 6 in increasing order.\nAnswer: -4, -1, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95801689 is divided by 94?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 35*j + 146. Let q be d(-21). Sort 2, 0, -2, q in descending order.\nAnswer: 2, 0, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500090339 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4652443583 to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 10\/65 - (54908\/(-91))\/4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1306 and 19.94.\nAnswer: 22.544164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128943762 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -956920.7 to the nearest one thousand.\nAnswer: -957000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 59097.\nAnswer: 59105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102136 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4. Let c = s + 4. Solve i - c*i = -2*m + 4, 3*m - 3*i = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57 + 0.05124?\nAnswer: -0.51876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 223079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2, -471, -1\/5919?\nAnswer: -471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.016946*-18\nAnswer: 0.305028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:47 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 2, n: 10}. What is prob of picking 2 n and 1 y?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*c + 40, 97*d = -3*c + 102*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*x**2 - 168*x**2 + 4 - 104*x**2 - 4 in the form w + z*x + c*x**2 and give c.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6565.9935 - -6566. Which is the nearest to 2? (a) -0.3 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.41\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 32*t + 449. Let g be f(8). Put g, 5, -3, -4, -5 in ascending order.\nAnswer: -5, -4, -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 533284\/9253015 + -123\/1955. Find the common denominator of c and 107\/10.\nAnswer: 47330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 548271344 times 0.4\nAnswer: 219308537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 18 - 8 = -3*k, -72 = -11*n - k + 48 - 46 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**4 - j**3 - j**2 - j + 2. Let d(o) = 4*o**4 - 5*o**2 - 15*o - 2. Let v(u) = -3*c(u) + d(u). Suppose v(w) = 0. What is w?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 14*n + 11. Let d(f) = -9*f**2 + 4 + 10*f**2 + 0*f - 5*f. Calculate -8*d(h) + 3*p(h).\nAnswer: h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 4*h**3\/3 - 13*h**2\/2 - 6*h. Let k be x(5). Suppose k + 363 = 3*m. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -1)\/((-2)\/(-2)). Suppose -x*n = n. Suppose 2*t - 5*d + 9 = n, -3*d - 31 = -5*t - 6. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 209, 208, 207, 206, 205, 204?\n\"Answer: -t + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -q, -q - 4*q - 10 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.74 to the nearest integer.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 503, 397, 267, 101, -113, -387?\n\"Answer: -2*u**3 - 92*u + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112665899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02366373 to five decimal places.\nAnswer: 0.02366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 361600?\nAnswer: -361611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13393 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:40 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + sqrt(7) + -3 - (sqrt(448)*-1)**2) + (sqrt(105)\/(sqrt(5) + sqrt(80)))\/(sqrt(3) - -6*sqrt(3)*-2).\nAnswer: -451 + 109*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 16*t + 17. Let f be k(-15). Suppose 4 = -2*r + 12. Sort f, -5, r in descending order.\nAnswer: r, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/9 + 3514*g**3\/9 + 489410*g**2\/3 + 2925926*g\/9 + 1461208\/9 = 0.\nAnswer: -1076, -679, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36909432 divided by 4977\nAnswer: -7416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/30 - 3*d**2. Let m(j) = -5*j**2 + 4*j**2 + 4*j**2. What is m(q(u))?\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*x + 17447, -20*x + 15*x + 2*r = -21805. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (sqrt(7) + 3*sqrt(42)\/sqrt(6))) + sqrt(175) + 1)**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(76))*2 + sqrt(76))**2 - 5*(3 + sqrt(19) + -5).\nAnswer: 19*sqrt(19) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 74*s + 240.\nAnswer: -2*(s - 40)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, l: 1, t: 2, i: 2, w: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4476 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 8) to base 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251233 minus 1804?\nAnswer: -1253037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/7 (b) 2 (c) -3839 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1097501987951760576 - 20216924749.10975128879517606. Let r = f - -20216924577. Let c = -172 - r. What is c rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/20)\/((-2)\/(-20)). Let k(g) = 5*g. Let f be k(2). Suppose 4*x + v = -f. Sort -5, x, -1 in ascending order.\nAnswer: -5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114.6 * 1.25.\nAnswer: -143.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11100011111111100010011 (base 2) to base 8\nAnswer: 34377423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, w: 1, f: 2, k: 4}. Give prob of sequence wc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89984 greater than or equal to 89979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q. Let a(n) = -3*n. Let d(w) = w. Let x(z) = a(z) - 2*d(z). Give r(x(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - (-28 + (6 - -21))) + 48?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -3375, -11381, -26957, -52623, -90899?\nAnswer: -144305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 23. Determine r(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 6*u**2 - 6*u - 1. Let i be y(-5). Suppose 3*o + o = 16, i*g = -3*o + 160. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -121122?\nAnswer: -121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**8))\/(d**5\/d))\/(d**0)**6)**14 assuming d is positive.\nAnswer: d**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56476207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8310606nm to meters.\nAnswer: 0.0000000008310606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*f - 13743 = 98*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0409301870569+0.034\nAnswer: -0.0069301870569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*z = -4, 8*n - 35 = 3*n - 5*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 + 68 - 288 + 73 + 72 + 70.\nAnswer: -17*b**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 2*o. Suppose d + 3*b - o = 0, -5*d - 1 = b - 7. What is the first derivative of d + 12 - 6*j + 11 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2465 = 51*p - 2516 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42930768.\nAnswer: 2, 3, 894391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*h + h - 33, 5*k + 5 = -5*h. Solve -9 + 13 = -k*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -9\/2*z**2 + 7\/6*z**3 - 4*z - 1\/12*z**4 + 3. What is c(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6160120 by -68.\nAnswer: 90590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*r*r*r**33)**(6\/13) assuming r is positive.\nAnswer: r**(192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60 and -4.6.\nAnswer: -64.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + sqrt(72) + -1))**2.\nAnswer: 900*sqrt(2) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91023 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (51\/6)\/(2\/(-12)). Is (-49637)\/(-4) - i\/(-204) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6*j - 2*p + 117, -5*p - 507 = 4*j. Let u be 0 + 1 + (-14*9 - -2). Let z = j - u. Solve 4 = 2*t - z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2901, 5451, 8001, 10551, 13101?\n\"Answer: 2550*i + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14518687.\nAnswer: 397, 36571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.045*47\nAnswer: -2.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times -4494\nAnswer: 2022.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7))**4\/((y\/(y\/(y*y*y\/(y*y**(-2\/17))))*y)\/(y\/(y\/((y*y**(1\/5))\/y)*y))) assuming y is positive.\nAnswer: y**(-3011\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 896138818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -1935\/32?\nAnswer: -1935\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 8*f - 12. Let r be v(-5). Suppose r*t - 5*a + 6 = -8*a, 4*t = 3*a + 27. What is the remainder when 6 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/((-20)\/(-30)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525940 is divided by 16964?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484726 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/12 + 5\/12. Which is the third smallest value? (a) -4 (b) p (c) -7 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Suppose -2*h = 24 - 80. Let m be (-78)\/(-21) + 8\/h. Put k, m, -6 in increasing order.\nAnswer: -6, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231188 >= 231178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -30327, 3, -86\/3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 65780724?\nAnswer: -65780716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 731806 - 5122639\/7. Find o, given that 0 - 3\/7*o**2 + r*o**4 - 3\/7*o + 3\/7*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168930 less than or equal to 168937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175257490 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 2. Let h be 232\/38 - 14\/133. Suppose -12 = b + 4*s, -14 = -4*b - 2*s - h. Solve v = u*v - b*j + 14, -j + 5 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79734, -321099, -723382, -1286589, -2010726, -2895799?\n\"Answer: -f**3 - 80453*f**2 + f + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:49 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -103. Let p = r + -49\/5. What is the second biggest value in -0.37, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256321.29689406 + 53\nAnswer: -256268.29689406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h**2 + 412*h + 960 = 0. Calculate h.\nAnswer: -16, -30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1284803465 to the nearest integer?\nAnswer: 35844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10)*v*v**(14\/5))\/(v**(3\/10)*v)**(3\/8) assuming v is positive.\nAnswer: v**(-107\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*n - 99 - 70 - 106*n - 56*n**3 wrt n.\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 178. Suppose 0 = -b*z - 20 - 50. Sort z, 0, -3 in increasing order.\nAnswer: z, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8539, 17188, 25821, 34432, 43015, 51564?\nAnswer: 60073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96449 by -96449.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 13 = 4*g, 2*m + 1 = -0*m - g. Let d(i) = 3*i - 2. Let a be d(m). Let c(h) = -h**2 + 0*h**2 - h**2. Give c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024466 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12906996 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26623, 106499, 239617, 425977, 665579, 958423, 1304509?\n\"Answer: 26621*r**2 + 13*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + r + 2*r)*(-r + 2*r - 4*r)*(3496 + 438 + 930) to v*r + q*r**2 + t and give q.\nAnswer: -29184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 24. What are the prime factors of -3*(-3)\/h + 56?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/32 and 2\/6*(-213)\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let m(k) = -5*k**2 + 20*k + 15. Let q(o) = -m(o) - 10*v(o). Determine l so that q(l) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 200287 + 1?\nAnswer: 200288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-218)\/(-8) + -3 + (-2)\/8 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 8*v**2 + 14*v + 12. Let s be l(-4). Let n be 10*((-8)\/s + 0). Which is bigger: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53110500 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8527189904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + ((-1 + sqrt(700))*6 - sqrt(700)).\nAnswer: -6 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 - 0.8217217?\nAnswer: 837.1782783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 - 127.9619717.\nAnswer: -75.9619717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - o)*(-3 + 5 + 0)*(-386 - 97 + 84).\nAnswer: -1596*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 2*m)*(20 - 11 + 186*m - 9).\nAnswer: 186*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**3\/2 + 3*x**2 - 2*x. Let g be l(5). Suppose 0 = -0*i + 5*i - f - g, 5*f = -i + 25. Let o(k) = k + 2. Determine o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (2 + -3 + -2))*-2. Suppose i - 3*z = h*i - 435, -5*i + 2*z + 2090 = 0. Calculate the greatest common factor of 28 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58927835 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-99)\/(-15) - 6\/10. Let j(i) = -19*i - 12. Let u be j(-1). Are r and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 2*p + 41. Calculate f(-8).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:18 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 30 (c) 1 (d) 5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from {y: 3, u: 6, n: 8}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*0*-1. Suppose 0*h - h + 5*p + 120 = j, 3*p = -4*h + 457. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-785)\/4710*5*-42.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(441) + sqrt(9)) + sqrt(77)\/sqrt(7)*1.\nAnswer: 9*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/60 - p**4\/12 - p**3\/2 + 4*p**2. Let a be c(3). Suppose a = -5*x + 33 + 2. Solve x + 3 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160478.\nAnswer: 2, 80239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 2*h - 2. Give k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((-2)\/168). Let k(i) = -47 + 4*i**3 + 46 - 3*i**3 + 5*i**2 - i. Let b be k(-5). What is the highest common factor of w and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + 88. Let j be h(0). Let x = j + -92. Let p(m) = -3*m**3 - 2*m**2 - 2*m + 1. What is the hundreds digit of p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 473*r**2 - 916 + 91992*r**3 - 1311*r - 865*r - 91994*r**3 + 342*r - 1393*r**2 = 0. What is r?\nAnswer: -458, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:01 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1686085813?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.071 (b) 1 (c) 1\/8 (d) 2\/9 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405960 divided by -34?\nAnswer: -11940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14)*a\/a**8 assuming a is positive.\nAnswer: a**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 849635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63727 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**3\/3 - f**2\/2 + 5*f - 1. Suppose -5*h + 6 = -2*q - 7*h, 0 = q + 2*h. List the prime factors of g(q).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 694 + -687. Let t(l) = l**2 + l. Let h(k) = -8*k**2 - 12*k + 3. Let o(b) = -h(b) - 6*t(b). Calculate the remainder when o(-7) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/14 + 181\/7. Suppose -71 = -3*n - y. Suppose q = 2*h - n, 25 = h - 0*q - 4*q. Put 0, -0.5, h in ascending order.\nAnswer: -0.5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5835 - 5834. Sort 4, b, 11.\nAnswer: b, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76623 divided by 3\nAnswer: -25541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -10. Which is the nearest to o? (a) 4 (b) -0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 4*o - 1 + 0*o**2 - 3*o - o**2. Let k(p) = -p**3 - 12*p**2 - p - 12. Let b be (4 - (16 - -1)) + 1. Let u be k(b). Determine g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 9*d + 211. Determine t(-11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 5*j + 4. Let f(i) be the first derivative of -i**3\/3 + 7*i**2\/2 + 5*i + 2. Let x be f(8). What is z(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 16447.731?\nAnswer: -16442.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*q + 2169 = 239*q + 140*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/43464 or 1?\nAnswer: 7\/43464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 196 + 4\/8*(-12)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335.0386831 - -23811.\nAnswer: 24146.0386831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -695609209 and -695609210 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a - 4*t - 446, 3*a = 5*t + 673. Let o = a + -139. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49357 and 56?\nAnswer: 394856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/80 - f**4\/16 + 2*f. Factor s(h).\nAnswer: h**2*(h - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from djdddqhfdddfhfdddqdd.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.0117878 + 11.013. What is d rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-6)*-30*(-52)\/1170?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000654233 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975 = -27*v + 2*v. Calculate the highest common divisor of v and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -2 + (45 - (-53 - -109))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/22)\/(1\/1)*(-89 - -91).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -29.72 (b) -5.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63 + 38*u + 21*u - 14*u - 23 + 5*u**2.\nAnswer: 5*(u + 1)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1044718*c**2 - 517143*c**2 - 527528*c**2.\nAnswer: 47*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(432) + -1 + 1*(0 + sqrt(432)))**2.\nAnswer: -48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 15 (b) 68 (c) 2\/11 (d) 1\/14 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/65 and 53\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by (-128)\/(-6)*(-1155)\/(-308).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2836280 times -5\nAnswer: 14181400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45335471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-21))**(-50)\/(y\/y**(-6\/5))**(-16\/9) assuming y is positive.\nAnswer: y**(45176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -102 (b) 1 (c) 0.0125 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4608 and 78130944.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001679 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 8*m - 3*m)*(3 - 3*m - 3)*(-3*m + 2*m - m) - m + m + 2*m**3.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d - -3?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 - 10*s + 19. Calculate h(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**11)**29\/((a*a**(-9\/4))\/((a**(-25)\/a)\/a)))**(-27) assuming a is positive.\nAnswer: a**(-31671\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1624 = d + 5*p, -5*d = 2*p - 5126 - 3040. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5 - 436*f**4 - 17064*f**3 - 277992*f**2 - 1555092*f - 1293732 = 0.\nAnswer: -33, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1792150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/2) + 0. Suppose u = 2, j + 3*u - 4 = l*j. Suppose -5*x + 62 = j. Calculate the remainder when 23 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.99442kg in nanograms?\nAnswer: 73994420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 33, -475 in increasing order.\nAnswer: -475, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0 - 1)\/(-8 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {h: 7, u: 8, q: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -59. Suppose 0*h = 2*h + 3*x - 19, c = 5*x - 25. Suppose 3*k - 30 = -0*k. Solve t - k = h*t - 3*o, -t + 15 = 2*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 175 = -5 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -230 - -237 - (0 + -2 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26786 is divided by 241.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 536851 + 26?\nAnswer: 536877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -218, -740, -1610, -2828?\n\"Answer: -174*z**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 27*j - 86*j - 60 + 52. Calculate the remainder when 151 is divided by c(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103113\/(-4221) - (2\/1 + 34\/(-14)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2488277239 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 90 = -5*q + 147, 4*k + 145 = 3*q. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 16 = 0. Suppose 15 = f*n - 29. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 720 - 719. Suppose 3*l - 7*l = -96. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 558*c + 561.\nAnswer: -3*(c - 1)*(c + 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2. Suppose -c = 2*s - 4. Let x(z) = -z**2 + 2*z + 4*z**3 + s - 2*z**2 - 2 - z. Let d(a) = -a**3 + a**2 - a + 1. Determine 3*d(w) + x(w).\nAnswer: w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 194 + 3 + -7 + 6. Let n be (-112)\/u*(-49)\/2. Solve -24 = 2*j + 5*g, -g - 2*g = j + n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20464.12699 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*a**5*s + a**2*s + 5*a*s - 10*a wrt a?\nAnswer: -980*a**3*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117956*k + 134371 wrt k?\nAnswer: 117956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50490)\/(-3080))\/153*-2*1.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*h + 5652 - 5481 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173 + 18*k**3 - 20*k**3 - 2*k**2 + k - 231 to f*k**3 + u + m*k**2 + q*k and give u.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58.3 + 58. Let r = -0.7 + g. Let h = -101\/3 - -33. Which is the nearest to r? (a) 3 (b) 4\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {m: 11, c: 2, t: 1, s: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60712512.\nAnswer: 2, 3, 7, 199, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1709 + 4983 = 167*n - 901. Calculate the remainder when 129 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2248*x = 2255*x - 735. What is the smallest common multiple of x and ((-12)\/(-8))\/((-9)\/(-30))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 * -13643.647.\nAnswer: 36837.8469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 + 13*n + 35*n - 253 + 501.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 13*j + 16. Is j at least as big as -22\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 56 + 108 - 52.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 851, 1703, 2555, 3407?\nAnswer: 4259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3755 - -6417. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**2 + 528156 - 942*x + 3*x**2 - 529499 - 2139*x with respect to x.\nAnswer: 4*x - 3081","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261\/7 or 36?\nAnswer: 261\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 76*i + 905. Give t(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 6862907454?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*((-3)\/(-10) - (-1)\/5). Solve 4*z = -l - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 16*p - 19*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82931734733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 1, 4\/5, 180, -2, 4.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**4\/3 - 2*u. Let h(t) = -28*t - 84. Let r(c) = 7*c + 20. Let a(z) = -5*h(z) - 21*r(z). What is a(g(w))?\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 2.3. Let v be 408\/(-1275)*(5\/2 + 0). What is the closest to v in n, 2\/11, 1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 22*s - 18*s - 1, 0 = 6*s + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 1000 = 1024 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -291467.\nAnswer: -291466.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, 8, 3, 0.\nAnswer: -253, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211541 divided by 12?\nAnswer: 12211541\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 1443?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 1528809616*a + 146078677623379216.\nAnswer: 4*(a - 191101202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 69 = -77 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 0 + 0 + (2 + 0 - 4)*(4*c + 10*c - 8*c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -33*u**4 - 86*u**3 - 55*u**2 - 11*u. Let v(f) = -67*f**4 - 170*f**3 - 109*f**2 - 21*f. Let n(d) = -5*g(d) + 3*v(d). Factor n(s).\nAnswer: -4*s*(s + 1)**2*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 3*y - 3. Let j be x(-3). Let b = j - 8. Suppose 4*q = 5*q - b. Calculate the smallest common multiple of 8 and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9074 - -21571. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 21. Give i(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (315\/(-42))\/((-2)\/252). Find the second derivative of 7*j - 6*j**3 + j**3 + 954*j**2 - b*j**2 wrt j.\nAnswer: -30*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3*(-3)\/36 + 1348\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10756 + 10759. Let l(d) be the first derivative of 2\/3*d**u + d + 3\/4*d**4 + d**2 - 26. What is l(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 - -51. Let s = 39 + b. Solve 9 = s*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*r + 7, 2*l + 3*r = 7*l - 23. Suppose l*j - 1334 = -2*u, -5*u + 3390 = -j - 0*j. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from wfllowfclf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107015840 divided by 20.\nAnswer: -5350792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.062665?\nAnswer: 0.12533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -3260*h**7\/7 + 779*h**3\/3 - 3874. Find the third derivative of z(q) wrt q.\nAnswer: -391200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 9*s - 1170 = 2*h - 1184, s = 3*h + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let q(v) = -9500*v**3 + v**2 - v - 2. Let m be q(s). What is m rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1133 - 1138. What is the nearest to -1\/4 in 0.01, j, -3\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 151*p**6 + 4*p**5 + 13*p**2 - 4*p - 4. Let a(f) = f**6 - f**5 - f**2 + f + 1. Let w(r) = 4*a(r) + h(r). Find the third derivative of w(s) wrt s.\nAnswer: 18600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -7*j - 1 - 1\/2*j**2. Let t be q(-6). Is t > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, -184, -310, -3 in decreasing order.\nAnswer: 18, 1, -3, -184, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*k - 18, -29*y + 54 = -32*y - 2*k for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - k**2 + 2*k - 1. Let x(a) = -4*a + 5 + 3*a - 5*a**3 - 10*a + 5*a**2 - 5*a**3. What is -11*r(f) - 2*x(f)?\nAnswer: -2*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(10\/9))*f\/(f\/(f**(2\/9)*f)))\/(f**(2\/5)*f*(f*f**(-3\/17))\/f*f) assuming f is positive.\nAnswer: f**(-227\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 11*g + 16. What is c(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (-5 - -10 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7595 - 5?\nAnswer: -759a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (142*(-92)\/(-16))\/((-19)\/(-38)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 3*p**2 - 3*p. Let i be r(-2). Let d be (-4)\/i*(4 + -9). Let v(k) = 0 + 0 + 4*k**d. Let w(b) = 2*b**2. Calculate v(w(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let g(j) = 3*j + n*j - 4*j. Let d(x) be the second derivative of x**3\/3 - 2*x. Give d(g(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7432 - 2?\nAnswer: -7434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + c - c)*(-4 - c + 4) + (c + 3*c - 2*c)*(1 + 5*c - 1) - 211*c**2 - 45*c**2 - 16*c**2 in the form p*c**2 + m + l*c and give p.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.50796 years to months.\nAnswer: 42.09552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5016\/(-351120))\/((-2)\/640)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2214\/23 less than or equal to -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 304*g - 304*g - 36*g**2 + (4*g + 0*g - 2*g)*(0 - g + 0) as r + w*g**2 + a*g and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*r**2 + 152 + 136 - 288.\nAnswer: 343*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1 - (-2 + 1)). Let d = 2 + m. Sort 4, 3, d in decreasing order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 10:29 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/56 + -1)*(0 - 2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.34446ml to litres.\nAnswer: 0.02334446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 37055680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -40\/3*d**3 + 0 + 25\/12*d**4 + 25\/4*d**5 + 10*d**2 - 2*d. Solve l(f) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 360*c**3 - 7*c**2 + 204*c - 1. Let t(h) = -360*h**3 + 6*h**2 - 175*h. Calculate 6*p(u) + 7*t(u).\nAnswer: -360*u**3 - u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q\/q**5*q)\/((q\/((q\/q**(-3))\/q))\/(q\/q**(-2\/7)))*(q**(2\/3))**(-24\/11)\/(q**0\/q)**46 assuming q is positive.\nAnswer: q**(31222\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*d, 5*d + l = -3*l. Suppose d = -0*o + 3*o - 9. Let h = 9 + -4. Solve x = -o + h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 2*j + 26. Give n(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 less than 87841?\nAnswer: 87675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {y: 1, p: 2, t: 4, b: 1, s: 4, a: 7}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311704 + 623401 + 2*g - 311697 - 10*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10a16 (base 11) to base 15\nAnswer: -4a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 52, 71, 86, 97?\n\"Answer: -2*u**2 + 29*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 13809317.\nAnswer: 4\/13809317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*z = -19, 0 = 3*o + 2*z - 0*z - 6. Suppose -2 + 70 = o*p. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -k + 11 - 1, 0 = -v - k - 2. Suppose -a - v*a = -16. Let j = 0 - 2. Put j, a, -5 in increasing order.\nAnswer: -5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 divided by 2?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1302 and -5\/359204?\nAnswer: 233841804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000021520315 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*t + 172*t + 40 = 0. Let g be t\/20*-10*6\/(-5). Which is bigger: g or 120\/31?\nAnswer: 120\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {c: 7, v: 1, y: 5}?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1233*k - 8. Let a(h) = 1232*h + 6. Determine -4*a(x) - 3*g(x).\nAnswer: -1229*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117477 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -60\/141427 and 22\/215.\nAnswer: 707135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 13*z**2 + 12*z + 4. Let t be w(-12). Find the second derivative of -3*p - 5*p**t - 5*p**3 + 5*p**3 + 7*p wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 3:11 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107957 is divided by 107509.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - x**3 - 2*x**2 + 3 + 13.\nAnswer: -x**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_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: Let q(o) = o - 25. Let d(i) = 16*i**2. What is q(d(p))?\nAnswer: 16*p**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-150))\/((-4)\/(-15)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 106652740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 + 144.7. Let o = 143.5 - 146.5. What is the closest to 1 in -4, o, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -24*z + 86. Let n be x(3). Suppose 0 = -2*y + 7*y - 15. Suppose y*r = 5*s - n, 6*s = -r + 2*s + 18. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00183*-0.382\nAnswer: 0.00069906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -13*w. Let c(v) = 3*v. Let h(t) = 9*c(t) + 2*s(t). Let o(z) = -4*z - 3. Let a(f) = 4*h(f) - o(f). What is a(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(14*a**2 - 24 + 7*a**2 - 23*a**2).\nAnswer: -4*a**2 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5061 + -70967\/14. Find the common denominator of -58\/63 and a.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 28388944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203279923393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 + 3*p + 2. List the prime factors of b(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -33.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 1055031, 0, -16 in ascending order.\nAnswer: -16, -3, 0, 4, 1055031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 - 858.\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 433, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1001100010010110 (base 2) to base 14\nAnswer: -10342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1321 = -2*w, -w + 5*u - 232 + 905 = 0. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 - h + h)*(21 + 8 - 7) as y + x*h**2 + t*h**3 + l*h and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 5*z + 7. Let w be q(-6). Suppose -7425 = -8*t + w*t. Let a = -388 - t. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (472626\/3528 - 134)\/((-2)\/(-266)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461 + -443. Calculate the lowest common multiple of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in 1\/3, -4, 4, -0.16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000988716 to 7 dps.\nAnswer: 0.0000989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1782 * 8.7223\nAnswer: 15543.1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*x**2 + 11\/2*x - 6 = 0. What is x?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*((-237)\/75 - -3) - 42\/65. What is the closest to y in 0.08, -0.4, -3\/4, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421944 divided by -6\nAnswer: -70324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -823*d**3*l**3 + 1622*d**3*l**2 + 32*d**3*l + 318*d**2*l - 158 wrt l?\nAnswer: -4938*d**3*l + 3244*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 150, 174, 162, 102, -18, -210?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16051338, -32102675, -48154012, -64205349, -80256686?\nAnswer: -96308023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**3*h + 2*b**3*j**2 - 2*b**2*h - 3*b*h*j + 7884*h*j**2 + 13*j wrt j.\nAnswer: 4*b**3 + 15768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1767.13 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(-7 + (-232)\/(-32)). Suppose -4*k - f*v - 3*v = 1742, 2*k + 4*v + 868 = 0. What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let j = -2.979 + -0.001. Let h = c + j. What is the second smallest value in h, -1\/5, -3\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**2 - 1\/5*x**5 - 28\/3*x**3 + 102 + 0*x**4 + 1\/2*x**6 + 0*x. What is the third derivative of u(k) wrt k?\nAnswer: 180*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, -2\/439, -4\/5, -676\/19 in increasing order.\nAnswer: -676\/19, -4\/5, -0.3, -2\/439, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 + (118 - 53) + -143?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/55)\/(144\/540*(-30)\/40).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 527625 divided by 21105\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let u be s(8). Let c = u - -155. What are the prime factors of c?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 621 * 3.7.\nAnswer: 2297.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14205, -113744, -383913, -910026, -1777397, -3071340, -4877169, -7280198?\n\"Answer: -14219*u**3 - u**2 - 3*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*v + l - 1, -4*v + 3*l = -10. Let f(n) = 54*n - 7. Let g(t) = -28*t + 3. Let c(u) = -2*f(u) - 5*g(u). Is c(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956847?\nAnswer: 3, 318949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 4, 164 in ascending order.\nAnswer: -5, 0, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26496001?\nAnswer: 7, 3785143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24624, -98603, -221914, -394557, -616532, -887839?\nAnswer: -1208478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 47*u + 72. Give w(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11173384*v**2. Let h(k) = -15*k**2. Give h(x(w)).\nAnswer: -1872667650171840*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5305139649 and -0.08?\nAnswer: 5305139648.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -44*k - 125*k**2 + 82*k + 151*k + 5*k**3 + 41*k = 0.\nAnswer: 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*t**2 + 203*t**2 - 86192 + 86192.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/11, 1\/3, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -111?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -66 + 14. Suppose 5*n - w + 14 + 14 = 0, n = -b*w + 7. Put 5, -3, n, 2 in descending order.\nAnswer: 5, 2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16883053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*v + 39. Suppose 2*y + 1 = -m, -4*m + v = -2*y + y. Is 15 - 0 - (0 - y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 7*y - 6. Let n be m(4). Suppose c - 20 = n*c. Let i = 3274\/13 - 252. Sort c, i, 1\/5.\nAnswer: c, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1859 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0 - 1\/12*g**4 + 0*g**7 + 0*g + 1\/336*g**8 + 0*g**5 + 0*g**3 + 0*g**6 + 2*g**2. What is the second derivative of i(b) wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21359\/843 - 1\/281. What is the common denominator of g and 99\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 214550240?\nAnswer: -214550225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -565 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-2)\/(-12)*(27 - 27). Solve x = 4*h + 889 - 905 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 16. Calculate the common denominator of 1\/25*1825\/(-10) and -1 - (356\/40 + n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417065027?\nAnswer: 3, 7, 67479287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12464\/(-697) + 3 + 15.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p - 60. Let o(a) = a**3 + 10*a**2 + 37*a + 249. Let l be o(-9). Put -4, 1, p, l in decreasing order.\nAnswer: 1, l, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/96*-8*-9\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12*t**3 + 10*t**2 + 22*t + 13. Let b(v) = -34*v**3 - 28*v**2 - 66*v - 36. Calculate -4*b(a) - 11*j(a).\nAnswer: 4*a**3 + 2*a**2 + 22*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -0*v. Let n = 17 + 19. What is the greatest common factor of n and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -1\/2*a**2 + 0*a + 1 + 5\/24*a**4 + 2\/3*a**3 - 1\/60*a**5. Let s(r) be the second derivative of j(r). What is s(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 34 - 90 = 0. Let m be 0 + -15912173 + 124\/t. Let k = m + 29412169. What is k rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let z be r(-6). Let w be 9*(-2)\/(-5 + -1). Let h = z - w. Solve -5*p - h*x + 18 = -17, -3*x + 40 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(58\/(-60) + 16\/20). Let o = 26 + r. Solve 0 = o*s + 2*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1)*w*w)\/w)\/(w\/(w\/(w*w\/w**(3\/8))*w)))**(5\/17) assuming w is positive.\nAnswer: w**(15\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2477, 4, 3 in ascending order.\nAnswer: -2477, -14, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 19\/7, 201\/8, -41?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.6 + -4. Let u = 133.604 + -133.004. Which is the biggest value? (a) u (b) -7\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 4741 = 4771 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/42 and -43\/10924018.\nAnswer: 32772054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644166022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + h = -15, -8167*q + 8184*q = -5*h - 43 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 = -2*j, 3*j = -0*j + 2*v + 33. Suppose -o + 3*o = -3*z + 6, 2*z = -3*o + j. Find the second derivative of 0*y + 4*y**4 - o*y**4 - y wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in -5, 7\/3, 1\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - 2)\/((-3)\/(-2)). Suppose 51*h = 52*h + 3. Which is greater: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 3*l + 10*l**2 - 10*l**2 + 2 + 6*l**2. Let n be f(-1). Let q(b) = 25*b - 31. What is the hundreds digit of q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35819\/30702*(-1)\/((-1)\/(-3))*2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 0.19129.\nAnswer: 0.39129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(28\/((-224)\/(-36))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -272\/681 + 15\/227. What is the third biggest value in 1\/8, z, -2, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/19488 and -95\/8?\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137186 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1993 - -2047. Calculate the remainder when 241 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112432 is divided by 56211?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 84, 116, 150, 186, 224?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -1.02. Let r = -0.06 + o. Let g = r + 0.94. What is the biggest value in 3\/8, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 n when four letters picked without replacement from {n: 3, f: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 15*f - 17. Let x be w(14). Let j be (20\/x)\/(5\/(-15)). Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 0, -f + 221 = 2*s - 25. Let h = -77 - -55. Let n = -11 - h. What is the highest common divisor of s and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -555.4 - -253. Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 157. Suppose 44*c - 216 = -40. Suppose c*m = -4*z + y, m + 0*m - 4*z + 6 = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + m**2 + m + 1. Let w = -543 + 545. Let k(l) = 28*l**2 + 146*l - 2. Let q(t) = w*s(t) + k(t). What is the second derivative of q(g) wrt g?\nAnswer: 24*g + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-8)*((d*d*d*d\/d**5)\/d*d*d)\/d*d**(-7)\/(d*d**(-8)*d)*(d**2\/d)**(3\/23)\/(d\/(d\/d**(-1)))**45 assuming d is positive.\nAnswer: d**(1199\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.112 and 110?\nAnswer: 12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 193724300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2603, -5172, -7709, -10214, -12687?\nAnswer: -15128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.3 + -17.389. Let l = -0.0849 - m. Let d = 0.025 - l. Round d to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 40 = 65. Suppose 3*k + i*p + 5 = 0, 0 = -2*p + 4 - 12. Which is the closest to 1\/2? (a) k (b) 7.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 37*i**2 - 4*i + 1. Let r be q(-1). Let m = r - -194. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 59 = 2*u - 83, 0 = -5*s. What is the lowest common multiple of 48 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-2) - 2\/(-4). Suppose 2*p - a = -p. Let t(w) = -3*w**3 + 4*w**p - 4*w**2 - 4*w - 4. Let i(l) = l**3 + l + 1. Determine 4*i(u) + t(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**3 - k**2 + 2*k - 1. Let f be -3 + 4 + -1 + 1. Let d(c) = c**3 + 7*c**2 - 7*c + 16. What is the lowest common multiple of j(f) and d(-8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64544, -4, 2 in decreasing order.\nAnswer: 64544, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9445 + 16124. Calculate the remainder when i is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -39*v + 52320. Let z be (-16)\/v*55\/(-44). Is 1 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = z, 16 = 4*z + 3*q - 8*q. Suppose -5667 = z*h - 15648. List the prime factors of h.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 - c**2 - c. Let i be t(-1). Let b = -1937 + 1933. What is the third smallest value in i, 12, b?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1430 + 1222*y + 2842 - 1221*y - 1412.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5721, -5722, -5723?\n\"Answer: -f - 5720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 1. Let z(y) = 12*y - 6. Calculate 22*b(g) + 4*z(g).\nAnswer: -18*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose 3*l + o + 3 = 0. Put 3, 4, -8, l in decreasing order.\nAnswer: 4, 3, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (-1*sqrt(24)*1)\/(sqrt(48)*3))*1 + 3.\nAnswer: -3 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0767? (a) -32 (b) -1\/4 (c) 0.04 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8961659221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9212\/9 - 83431\/63. Let o = y - -2342. Calculate the common denominator of 29\/4 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3515 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1221)\/(-165) - -3 - (-2)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5629 - 3847. Is 33 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 3*o**2 + 2*o + 4. Let i(p) = -6*p - 39. Let f be i(-7). Determine z(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.075, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*2 + -3 + -5)**2 + 1 + (sqrt(343) + 1 + sqrt(343))**2*6)*-3*-2.\nAnswer: -336*sqrt(7) + 58050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 20 = w, r = 2*w - 69 + 94 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-20)\/(-42) - 1. Let p = 57040\/313841 + 2\/28531. Let n = 0.4 - 0.3. Sort p, v, 4\/5, n in decreasing order.\nAnswer: 4\/5, v, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -4\/3, 53.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11714?\nAnswer: 2, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 3 - 5 - 8) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*a + 101*a + 37950 = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115033, -114955, -114833, -114673, -114481?\nAnswer: -114263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2566 and 442\/(-24) - (-231)\/(59 + -26)?\nAnswer: 15396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + i**2 - 2*i**2 + (2*i + i + i)*(-5*i + 0 + 0).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -1398, -3280, -5888, -9222?\nAnswer: -13282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*v + 4 + (0*v - 3*v + 8*v)*(-59 + 95 + 61) in the form b*v + i and give b.\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222353007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -48422\/5 less than -9684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(0*t - 3 + 4*t - 2*t).\nAnswer: 6*t - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -5, -665, 0.1, 14.9, -0.54?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18974560 to the nearest 100000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -756 - -762. Suppose 19*s = p*s + 1287. Calculate the highest common factor of 88 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1526 = a, -31*t - 5*a - 2560 = -36*t. Solve -12*s + 555 - t = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2744810 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/7 - 2478255*u**3\/7.\nAnswer: 3*u**3*(u - 826085)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 0*r + 21 - 1\/3*r**3 + 0*r**2. Let l(g) = 3*g**2. Determine d(l(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293 divided by 3089.\nAnswer: -293\/3089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(1\/10)\/(a**(-2\/25)\/(a*(a**(-1\/21)\/a)\/a)) assuming a is positive.\nAnswer: a**(-911\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 10*q = 0. Suppose q = -2*o - 1 + 11. Solve -h + o*h = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5376 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14349 - 14347. Put p, 7, 1, -2\/23 in ascending order.\nAnswer: -2\/23, 1, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 333 + -326. Suppose 20 = 4*d, -3*d + 115 = -2*h + y*h. Suppose 3*x = 0, -5*b + 0*x - 5*x + 90 = 0. What is the lowest common multiple of h and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/65? (a) 0.2 (b) 0 (c) -2\/23 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*t - 5*g + 40, -t + 13 = 2*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -215?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234150.\nAnswer: 2, 3, 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.24 and -11524213.\nAnswer: -11524212.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a20 (base 11) to base 8.\nAnswer: -22002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101100001001011010110 + 1?\nAnswer: 1000101100001001011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -6*(-3*sqrt(143) + sqrt(143)))\/(sqrt(11) - (-4*sqrt(66) + sqrt(66))\/sqrt(6)).\nAnswer: 13*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42259618 divided by 1.\nAnswer: -42259618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = a. Let b(n) = -n**2 - 5*n + 12*n - 5 + 0*n**2. What are the prime factors of b(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-28)*91\/(-52).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 255\/(-4) + 3\/(-12). Let o be (18\/12)\/(2*6\/524). Let m = s + o. Which is the nearest to 2? (a) -0.5 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooko when four letters picked without replacement from kokookt.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 10*l. Let d(h) be the first derivative of h**2\/2 - h - 2. Let n = -69 + 63. Let m(b) = n*d(b) + f(b). Determine m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + 19*c**2 - 3*c**3 - 25*c**2 + 6 - 11*c. Let n be f(7). What is the least common multiple of 14 and 4\/n + 444\/22?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -523 by -3.\nAnswer: 523\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 204\/(-306) + (-2)\/(-3). Solve u*y + 26*y = -130 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = 0, 2*q - 5*f = -f. Let j be -1*(3 + -3) + q. Which is the closest to -5\/2? (a) 5 (b) 3\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 8 - 0. Let o(s) = -2*s - 1. Let q be o(d). Suppose 10 = 3*h + 1. Calculate the highest common factor of q and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 3*z + 4*z + (-3 - 4 + 6)*(-1 + 2*z + 1) + (-1 - 1 - 5)*(-61 + 61 - 7*z).\nAnswer: 46*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/488 and (-2)\/5 + (-4)\/(-22) + 1502966\/3784440.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -71*o**2 + o + 2. What is u(-1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.1953797 + -0.1953697. Let d = 11 - u. Round d to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 + y**2. What is k(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 - a**2 + 2*a**2)*(-143 + 70 - 2*a**2 - a + 79) to the form y*a**3 + m + t*a**2 + o*a**4 + f*a and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/(-40))\/(-37) + (-24)\/80*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -6. Let s = l - 4. Let t(a) = 8*a + 249. Let z be t(-31). Solve -s*p - 16 + z = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 14 = -5*p. Let k = p + 4. Suppose -i + 2 = -k. Calculate the lowest common multiple of 8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 83.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - p**2 - 2 - 5*p**2 + 4*p**2 + 2*p + 3*p**4 to l*p**3 + d*p**2 + g + z*p + t*p**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 80617953 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -11, 0 in increasing order.\nAnswer: -11, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5 + -31)\/(-1). Let q = 104 - 74. Suppose -l + f = -q. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1480*j**3 + 9*j**2 - 9*j - 13. Let f be t(-9). Suppose 4*h = 5*k - 293 - f, 2*k = 3*h + 810004. Round h to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/6 - (-34 + 35)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koaq when four letters picked without replacement from qakooajaakjjq.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 20597 - 29*n**2 + 38*n + n**3 + 12*n - 20572. Calculate y(27).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16509046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -53*v + 7820. Calculate w(148).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6241, 6238, 6235, 6232, 6229, 6226?\n\"Answer: -3*d + 6244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((2 - 3) + 1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybybbbybbbyyy. What is prob of picking 1 y and 2 b?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*5)\/sqrt(7) - ((sqrt(7)*5)**2 + -3).\nAnswer: -172 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:49 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3 + x + 0*x + 4. Suppose 0 = 4*n - 2*n - 5*c - 21, -33 = -4*n + c. Suppose -4*y + 20 = 4*i, 3*i - n*i + 25 = -4*y. What is k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153510401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292770602 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 12. Suppose 2*f - 4 = -p*f. Solve -3*c + 5 = -f*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*s - 3*i, 5*s + 203*i - 199*i + 5 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 159*z**2 + 118*z + 933. Is h(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3474917183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7166507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82001562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 60 = 4*g. Suppose -3*p + 12 = 4*q, 2*q + 1 = -5*p + 7. Suppose p = 11*w - 8*w - 99. What is the least common multiple of g and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -0.12?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 22. Let g(v) = -3*v - 21. Let x(n) = -2*g(n) + 3*o(n). Let c be x(8). Which is greater: 1\/26 or c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - 6) - (0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1317\/8 + -165. Let g = -16 - -9. Let b(d) = -d**3 - 8*d**2 - 6*d + 6. Let m be b(g). Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i = -l + 293, l - 4*i = 293. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-25)\/60)*(-10)\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 597 and 1064451.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1896 and -0.287.\nAnswer: 0.0544152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204081781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*r + 196*r = 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010110101110 + 10?\nAnswer: -100010110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 27*t - 2*t**3 - 383*t**2 + t**3 + 405*t**2 - 61. Is k(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + 5*r)*(-3 + 3 + 1)*(4 - 3 + 0)*(1 + 1 + 0)*(-25 - 8 - 11)*(3 + 6 - 5).\nAnswer: -704*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.9945 grams in nanograms?\nAnswer: 363994500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 89394 divided by 3\nAnswer: 29798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -740, -463, -186, 91, 368?\n\"Answer: 277*i - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33584 + -23690. Let l = 2921 - h. Let u = -55865\/8 - l. Calculate the common denominator of u and 70\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 17*h - 7 - 4 - 10*h**2 + 6. Let u be p(8). Suppose -3*a = -2*g - 217, 0 = u*a - 6*a + 5*g + 214. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1706, 780, -5424, -19546, -44226, -82104, -135820?\nAnswer: -208014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11151 - 11151.5. What is the nearest to 1\/3 in -3\/2, s, -310, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + ((-256)\/(-6))\/(-8). Let x(s) = s**2 + 7*s + 4. Let d be x(l). Which is smaller: -26\/9 or d?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 7*i + 2. Let m be b(-7). What is the third derivative of -n + 0*n**2 + n - m*n**2 + n**6 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -302, -288, -272, -254?\n\"Answer: z**2 + 11*z - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.41 (b) -0.3 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/99 + 92\/22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565 divided by 13?\nAnswer: -565\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04673 - 0.046. Round d to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 - -94. Let q = -0.47 - x. Let r = q + 2.07. Round r to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1213*u - 1207*u - 18. Let l(i) be the third derivative of 0*i**3 + 0*i - 1\/20*i**5 + 1\/120*i**6 - 1\/12*i**4 + 0 + 3*i**2. What is l(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 437376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i + 129 - 129)*(14*i - 5*i + i).\nAnswer: 140*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 636\/(-81) - ((-8)\/7)\/((-55)\/(-385))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajaxo. What is prob of picking 1 o, 1 x, and 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-5) + 0 + 1. Suppose d = -3*u - 0*u + 9. Factor -j**3 - 6*j + 3*j**u - 6*j**2 - 4*j**3 - 2.\nAnswer: -2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5507051426 to the power of 1\/2, to the nearest integer?\nAnswer: 74210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkkllpk. Give prob of picking 1 p and 1 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 209, 809, 1811, 3215, 5021, 7229, 9839?\n\"Answer: 201*c**2 - 3*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8 = -3*j, -5*j = r - 6 - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - -134. Suppose 2*a + m = 759. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21 (b) -2 (c) -431 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28116 and 3124?\nAnswer: 28116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 minus 76.57?\nAnswer: -87.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 4*y**2 + 65*y - 18. Give u(10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616 + 4417 = 861*i - 5670 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4 - 327*z**3 + 1344*z**2 - 1356*z = 0.\nAnswer: -113, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-366)\/48 + 8). Solve 3*r = 2*r - 3*a - 2, 4*r + l = -a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3473, -3525, -3577, -3629?\nAnswer: -3681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42.3 - -24.2. Let m = -18 - x. Which is the second smallest value? (a) m (b) -0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hht when three letters picked without replacement from jijpjijjhiitihhji.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2574*q - 5122*q - 27735*q**2 + 2548*q.\nAnswer: -27735*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 1:02 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4268, 41, 0, -4 in decreasing order.\nAnswer: 4268, 41, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(-54)\/270?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*i + 7 = 5*j, 0 = 5*j - i - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37802*q + 2 - 2 - 38469*q to a*q + w and give a.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j + j - 4*w, -4*j - 3*w = -2. Let f be j\/(-2) + 237\/6. What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2954, 23885, 80698, 191333, 373730?\nAnswer: 645829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658272009, -658272007, -658272005, -658272003, -658272001, -658271999?\nAnswer: -658271997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -13. Let h(n) = -1 - 4*n**2 - c + n**2 + 7*n - 3*n. What is h(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659.837 <= 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:45 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -560*w**5 - 440*w**4 + 445*w**3 + 465*w**2 + 90*w = 0.\nAnswer: -3\/4, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/112 + -11\/16. Let s = j + 31\/56. Suppose 2*r - 9 = 5*l, l + 4*r - 3 = 4. Is s < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 18*z)*(18*z**4 - 33*z**4 + 22*z**4).\nAnswer: 126*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25928)\/20)\/((-4)\/10) - 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00224727596 to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15*s - 19*s = -254, i - 261 = 3*s. Is i smaller than 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p**2 - 11*p - 9. Let s be (-1)\/(1\/3*18\/6). Let a be c(s). Let y(h) = -h**2 - 9*h + 7. What is y(a)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*g + 3, 2*k = -g - 0 + 1. Suppose 54 = -k*s - 0*s. Let j = -18 - s. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 42867*b + 600329. What is w(-14)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -554.0000293 - -554. What is h rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127207215707217.9 - -0.3.\nAnswer: -127207215707217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22599\/118490 + 139\/289. Calculate the common denominator of 51\/124 and j.\nAnswer: 25420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -355*a - 36. Let f(o) = 81*o + 8. Let m(z) = -22*f(z) - 5*n(z). Let y(u) = u**2 + 6*u + 5. Let l be y(-5). Let p be (1 - 0) + l + 2. Determine m(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/252*7)\/(52\/65*(-30)\/(-9))?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 + -3 + 6 + -13 - -12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 8*g**3\/3 + 1. Let z(h) be the third derivative of -h**5\/30 - 72990*h**2. Give w(z(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2\/9 + 136584*m + 1229254\/9 = 0.\nAnswer: -614627, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3, 1201*d + 1207*d + 1204*d + 15 = -3*i + 3615*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/11, 6, -0.3, 16, -5 in ascending order.\nAnswer: -5, -1, -0.3, -2\/11, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 5*p**2 - 18*p + 72. Calculate f(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 16. Let f be l(-6). Suppose -22 = -f*u + 18*u. Calculate the lowest common multiple of u and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - 20. Let c = 67 + -15. Let o = 92 - c. Calculate the greatest common divisor of b and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.1 - -5. What is the second smallest value in -3, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c - 173*c + 2003 = 23 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 26*d - 21*d + 22, 4*p + 4*d - 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10209 smaller than -10210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-106 + 37 + 34 + 33 + 60*l)*(170 - 170 - 32*l**2) as d*l**3 + f + x*l**2 + r*l and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1016 = -2*l + 2*b, 247 = l + 4*b. What are the prime factors of l?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/364 and 93\/21008.\nAnswer: 147056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242448 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(110)*-6 - sqrt(110) - 4*sqrt(110)*-1)\/((sqrt(100) - 6*2*sqrt(100))\/(sqrt(1210)*2)))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 455 = 33*r + 83*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29764188865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 208. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 - -7 - (-10 + 38 + -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:42 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1234469*m**3 - 3333*m**2 - 774*m**2 + 1234471*m**3 in the form j + c*m + v*m**3 + x*m**2 and give x.\nAnswer: -4107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8329130.732060615 - -8329131. Let o = a - 2.567938915. Let u = o - -2.3. Round u to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*d + 2*d - 6 = 0, 13 = -3*y + d. Sort 4, y, -1.\nAnswer: y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9478310, 18956616, 28434922?\n\"Answer: 9478306*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1\/22, 0.03, -10?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m. Suppose y - 7 = 4*g, -2*y - 5*g + 48 + 5 = m. What is the remainder when y is divided by 1 - (1*9)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65124.14um to kilometers.\nAnswer: 0.00006512414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004952 and 5.\nAnswer: -0.02476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19597926 and 32978.\nAnswer: 2998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 552*g + 497*g + 10 - 1055*g. Let z(r) = -4*r + 7. Suppose -9*u + 6*u - 15 = 0. Determine u*s(h) + 8*z(h).\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -0*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 3*o + 162 = 0. Let h = 28 - o. What is the least common multiple of h and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = 19*f - 57*f + 38. Let k = 61 - 32. Solve -3*p = -f*i - 2*i + k, -p - 2*i + 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 819946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -203, -471, -867, -1403, -2091, -2943?\nAnswer: -3971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249637519.\nAnswer: 719, 347201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*i + 374, -5*i + 368 = -t + 4*t. Calculate the remainder when 223 is divided by t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117726695 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 47*o + 256. What is the units digit of d(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 3*s + 7. What is f(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxuc when four letters picked without replacement from {u: 1, t: 9, c: 7, n: 1, x: 1, w: 1}?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 + 60*q - 308. Give c(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 5 (c) -3\/5 (d) 1700\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 94, -0.5, 42, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 551 + 187. Let v = -43 + h. Suppose -v*z = -82*z + 232. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 + 62. Let v be 2\/(-7) - t\/(-35). Are -2 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 300*t. Let v(b) = -51*b**2. Determine v(z(x)).\nAnswer: -4590000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -170, -292, -448, -644, -886?\n\"Answer: -c**3 - 8*c**2 - 63*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 + -186.1. Let x = -1.6 + -0.4. Which is the closest to 0? (a) x (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0)*1 - -1. Suppose -12 = -h - 2*d, h - 3*h - d = -12. Determine o, given that -o - f*o**2 + h - 2*o + 5*o + 0 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 124597350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130342904 by -470552.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - a - 1 - 2, 0 = 2*m - 3*a - 7. Find the second derivative of -m*t**4 + 4*t**4 + 3*t**5 + t - 2*t**4 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**4*x - 5*v**4 - v**3*x - 37*v**3 - 3*v**2*x - 3*x - 528 wrt v?\nAnswer: -48*v*x - 120*v - 6*x - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69223.18 - -70724. Let g = -1514 + x. Round g to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22338.747 nanoseconds to days.\nAnswer: 0.0000000002585503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 271205977 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*x + 6 = 0, -4*s + 2*x - 33 = -51 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35708487 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8 (b) 127 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k. Suppose 2*n + 0*t - 24 = 4*t, 5*n = 5*t + 40. Let g(x) = 0*x - 2*x + n*x. Determine g(u(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794.72 rounded to the nearest ten?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 129709*o - 129711*o + 46, -o - 16 = -2*o - 5*u for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 215872, 431741, 647610, 863479, 1079348?\n\"Answer: 215869*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61220 + -72?\nAnswer: 61126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(125).\nAnswer: -4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 2601*l - 2598.\nAnswer: -3*(l + 1)*(l + 866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + l. Let d be w(-2). Solve c - 10 = 5*f - c, 10 = -4*f + d*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 4*g**4 - 5*g**4 + 0*g + 3*g**4 + 0*g + 4*g**3 - 4*g**3 - g**3 - 3*g**4 + (5*g**3 + g**3 - 4*g**3)*(-g - 4*g + 3*g).\nAnswer: -9*g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 256\/7 (b) -8 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -634*x + 3173. Give w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/30*(-2 - 26\/(-8))*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -97, -66, -31, 14?\n\"Answer: k**3 - 7*k**2 + 47*k - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1221)\/(-12) - 10\/(-40) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1540, 25, 8, 4 in descending order.\nAnswer: 25, 8, 4, -3, -5, -1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -121*c + 123*c + 16, f + 11 = 5*c for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**2 + 38*y + 12. Let h be l(9). Determine v, given that 18*v + h + 5*v + 2*v**2 + 9*v = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008399 rounded to seven dps?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 529\/5 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 + 5*y + 3. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 3\/5 (c) 5\/228 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6623*j**2*t + 2*j*t**3 - 20602*t**3 wrt j?\nAnswer: 13246*j*t + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010049797 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1469\/(-130) - -11)\/(12\/(-80)). Let v(x) = -4*x**2 - 5*x - 6. Let c(m) = 21*m**2 + 26*m + 29. Determine l*c(r) + 11*v(r).\nAnswer: -2*r**2 - 3*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1362993353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -10*v**2 + 1\/120*v**6 + 0*v + 0 + 1\/5*v**5 + 5\/6*v**3 + 0*v**4. Let s be p(-12). Sort -2, s, 0.\nAnswer: -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 31. Solve -f + 4*f - q*k - 7 = 0, -2*f = 2*k - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7933*d - 1253*d**2 + 7933*d.\nAnswer: -1253*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 3707*d + 310029. Calculate x(82).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40.958, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 25 = 9. Calculate the smallest common multiple of 9 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/4 + 972\/(-432). Let j(z) be the first derivative of -3\/5*z**5 + 0*z**2 - 4 + 12*z + k*z**4 + 0*z**3. Differentiate j(v) with respect to v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/((-23490)\/(-232))*(-15)\/4)\/((-26)\/(-6))\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -195*c**4\/4 + 7*c**2\/2 - 6*c + 259. What is the second derivative of l(n) wrt n?\nAnswer: -1170*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29408112401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:01 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*18 + (-44)\/77?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 451.4 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 85*o\/2.\nAnswer: o*(o + 85)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291 + 310. Suppose -3*x - 5*b = -48, -3*b - 13 = -2*x + p. What is the remainder when x is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1100 = d + 4901, 2*f - 2*d = 1514. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*c = 25, 0*z - 5*z + 40 = 5*c. Suppose 6*b + z = 71. Suppose 0 = 5*d, 5*x - 2*d - 3*d = 240. What is the remainder when x is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13583569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/((k*k\/(k\/(k*((k*k*k**(-1))\/k*k)\/k*k*k))*k)\/k))*k*k))**(-36)*(k**30)**40 assuming k is positive.\nAnswer: k**1380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*z + 12 = -2*p + 1239*z - 622*z, -2*z - 22 = 3*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8 - 3 - 7*x - 2. Let z = 36 + -15. Let i(s) = 36*s - 15. Let b(g) = z*c(g) + 4*i(g). Find the first derivative of b(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (8 - 38) + 52?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 4*i**2 - 3*i**2)*(-2 + 4 + 0) - 121409*i + 121409*i - 1018*i**2.\nAnswer: -1022*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1232020423 (base 5) to base 6.\nAnswer: -144155111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*z - 3 = 0, b - 9 = -2*b - 3*z. Suppose b*n - 168 = -2*n. Suppose 0*h + 13 = h - 2*u, 0 = -3*h + 5*u + n. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0)*4\/8. Let a = -103586.824 - -103587. Is a at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*n + 37*n - 125*n - 2 + 35*n as i*n + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.706 rounded to one decimal place?\nAnswer: -57.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -12*f**5\/5 + 186*f**4\/5 - 456*f**3\/5 - 2004*f**2\/5 - 1836*f\/5 - 486\/5 = 0.\nAnswer: -1, -1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2012303322 + -11?\nAnswer: -2012303333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 19.4, -24\/7, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 (base 9) in base 5?\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*-4*sqrt(49) + sqrt(49)))\/(-2*(4*sqrt(112) + sqrt(112))).\nAnswer: 19*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 42*x**2 + 411*x + 24. Calculate t(-16).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6586965 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k*k)**(18\/7)*(k**(-3)*k)**(-17\/3) assuming k is positive.\nAnswer: k**(400\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-126))\/(308\/231)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -315722 or -315724?\nAnswer: -315722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21317598 - -38584854731\/1810. Let y = h + 1\/905. Calculate the common denominator of y and -81\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.9994 + -44. What is v rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2985134605 - 7649.9\nAnswer: -2985142254.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/27 (c) 6\/7 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 4*g**2 + 3. Let l(t) = 7*t**3 - 22*t**2 - 241*t - 18. Calculate -l(i) - 6*u(i).\nAnswer: -13*i**3 - 2*i**2 + 241*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 890 = 2*n + 900, -26 = 3*d - 11*n for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 + 29*s**3 + 8*s**3 - 48*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4246129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.780969 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0)*(-2 + 1). Let s(u) be the second derivative of 1\/24*u**3 - 1\/80*u**5 + c*u**2 - 1\/12*u**4 + 0 + 1\/30*u**6 - u. Factor s(f).\nAnswer: f*(f - 1)*(f + 1)*(4*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 495150*u\/7 + 21790472\/7.\nAnswer: -2*(u - 247619)*(u + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*y + 22. Suppose -3*s + y*s - 110 = 0. 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 minutes are there between 10:15 PM and 12:05 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 7\/(14\/(-8)). Suppose -6*h - 3*b = -4*h + 4, 5*b + 28 = s*h. Are h and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 + a**5\/5 + 7*a**4\/12 - 11*a**3\/6 + a**2. Let j = 13 - 5. What is the smallest common multiple of j and f(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305c7 (base 13) to base 10.\nAnswer: -86691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 6*z**2 - z + 8. Let r(o) = -o + 2. Let w be r(-4). What is the units digit of a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48552120 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 248210288 take away 0.08?\nAnswer: 248210287.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -5*s - 6*h - 24, -h - 11 = 2*h + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -129705319235.\nAnswer: -129705319231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(sqrt(190) + 5*sqrt(190)*-2))\/(-2*sqrt(490)*-1*-4).\nAnswer: 9*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-3)*(-7)\/21)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:12 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2 - 1202 + 2*f**2 + 827*f**3 + 1130 wrt f?\nAnswer: 2481*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2, 1\/11, 14, -4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(2\/19)*z*z**0)**31\/((z*z*z*z\/(z**(2\/5)\/z*z)*z)\/z**(-1)*z\/z**(4\/5)*z**(-1\/4)) assuming z is positive.\nAnswer: z**(31991\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-6)*(-2)\/(-2 + 3). Let u(n) = n**3 + 8*n**2 + 5*n + 4. What are the prime factors of u(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(4*sqrt(3)*1))**2 + (1 + (sqrt(44)\/sqrt(196) + sqrt(11) - sqrt(11)))**2.\nAnswer: 2*sqrt(11)\/7 + 1499\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2351 - 1?\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*b = 227*b - 407. Solve 6*w + 13 = b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151759091.\nAnswer: 11, 13796281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1045)\/4180)\/((-2)\/(-24)))\/(-48)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.344 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (46 - 9 - 24) + 64?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 - 4*b - 2. Let z(o) = -6*o**2 - 11*o - 7. What is -8*c(u) + 3*z(u)?\nAnswer: -2*u**2 - u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -2*l**6\/3 + 72*l**5 + 192*l**4 - 2944*l**3\/3 - 6024. Solve j(x) = 0 for x.\nAnswer: -4, 0, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let g be (o + 26\/6)*12. Suppose g + 17 = 3*q. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -4*s - 63*s + 896 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(448))*4 + (-2 + -5*(-1*sqrt(448) + sqrt(448)))**2.\nAnswer: 4 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 1 s when three letters picked without replacement from {q: 4, j: 3, s: 1, n: 2, l: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -116, -118, -130, -158, -208, -286, -398, -550?\n\"Answer: -a**3 + a**2 + 2*a - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + ((sqrt(108)*-2 - sqrt(108))*6)**2.\nAnswer: 6*sqrt(3) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9\/32, -2 in decreasing order.\nAnswer: 5, -9\/32, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g - 109. Let v be d(-21). Suppose -8 = -2*i - 2. Suppose -2 = b, -2*b - 4 = -3*m + i*b. Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896\/401563 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008469 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-64))\/((-24)\/(-14976))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/(sqrt(176) - sqrt(11)) + (sqrt(156)\/sqrt(3)*-1 - sqrt(52)))**2 - sqrt(65)\/((-2*sqrt(60))\/sqrt(12))*-4*-2.\nAnswer: 4*sqrt(13) + 1300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -2*sqrt(405)*-3 + sqrt(405).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21486738 and 11109.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460922?\nAnswer: 2, 7, 11, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**3 - g**2 - 1. Let i be u(2). Let m be 154\/i - 4 - 936\/2265. Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1821.64 + -1821.88. Let w = -34 + 171\/5. Which is the second biggest value? (a) 7 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*f + 70686 = 70300 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 706*i + 7. Let l(t) = -180*t - 2. Let g(c) = 3*k(c) + 11*l(c). Let p(y) = y**2. Determine p(g(h)).\nAnswer: 19044*h**2 - 276*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/4 - 73*b - 1232 = 0.\nAnswer: -16, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-40)*-6 + (-66)\/88. Solve y = 17*p - 23*p + 36 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13. Suppose 0*j + 2*j - 28 = k. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*w = -290 - 179 + 25 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13981*r**3 + 16117*r**3 - 289*r**3 + 2*r**2.\nAnswer: 29809*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63441 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w - 1 + 7*w + 9. Let t be b(-6). Let d(h) = -h + 3 - 1 + 2*h. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5, 5*b - 15 = -5*f + 5. Suppose -f*i + 9 = -0*i. Suppose 0 = 7*h - i*h - 20. Solve -3*a = -h*a - l + 9, l - 1 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-12)*3\/2*(-128)\/480?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2540 (base 12) to base 3\nAnswer: 12210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 - -136. Let y(h) be the first derivative of 2*h - 5*h - 7 + 3*h - h. Let x(k) = -2*k**2 - 10. Calculate t*y(f) + 2*x(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 59619443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101010302 (base 4) to base 12\nAnswer: -34582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112119047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8) - 1\/(-2). Suppose 0 = -3*i - 32 - n. Let l(g) = -g**2 - 12*g + 11. Is 14 a factor of l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**3 + 2*r**2 - 6*r - 2. Let o = 10925 + -10929. Let t(p) = -8*p**3 + 2*p**2 - 5*p - 1. What is o*q(f) + 5*t(f)?\nAnswer: -4*f**3 + 2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 367 (c) -2.6 (d) -10 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1803.41247 + -1803.3. Round r to 3 dps.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(-1 - 2 + 2) - 14 + 87 + 11 + 4 - 1 - 5)*(3*f**5 - 3*f**5 + 3*f**5).\nAnswer: 243*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129372 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 91. Suppose 5*z + 0*z - 90 = b. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1287)\/462)\/((-96)\/(-112)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13743626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844532, -1689076, -2533620, -3378164, -4222708, -5067252?\nAnswer: -5911796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-62)\/(-15) - 4 - (-462)\/(-90). Put 4, 1370, g in decreasing order.\nAnswer: 1370, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -280*h**2 - 100*h + 100. Let g(a) = -5*a**2 - 2*a + 2. Let r(w) = 50*g(w) - s(w). Let d(p) = p**2. Give 63*d(u) - 3*r(u).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r, -4*d + 113610 = -10*r + 5*r. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + -1*((sqrt(720) - 2*sqrt(720)) + sqrt(720)) + 3)**2*3.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569788746 to the nearest integer?\nAnswer: 23870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 3332*r**3 + 2772222*r**2 + 5554444*r + 2778889.\nAnswer: (r - 1667)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Three letters picked without replacement from {w: 5, q: 1, v: 1, a: 2, n: 7}. Give prob of sequence vna.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15469.6826 rounded to the nearest ten?\nAnswer: -15470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-21 + 9 - -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11243492 divided by 4.\nAnswer: -2810873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + 0 + (2*sqrt(192) + sqrt(192))\/sqrt(6) + ((-2*sqrt(250))\/sqrt(5) + sqrt(50) - (sqrt(16) + sqrt(144)\/(sqrt(27)\/sqrt(3)))\/sqrt(8)).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 11. Let g be z(-13). Let d = 70 - g. Let l(k) = k**3 + 2*k**2 - 28*k - 40. Let j be l(d). Round j to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*j + 153, 4*g + 2*j + 204 = -0*j. Let r = -32 - g. What is the remainder when 53 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29562 by 6.\nAnswer: -4927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -8)\/(48\/8 - 38\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 135172 and -1\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 15*n**2 + 10*n + 117. What is z(13)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 + 0.14. Let g = 5.08 - p. Let l = g + -0.1. Put 1, l, -5 in descending order.\nAnswer: l, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 489383\nAnswer: -195753.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -20 - (-3 + 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 21670.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 42\/(-14) - (-11 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (-2 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -156, -0.06, 4, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/2 - 14885*f**3 + 221592993*f**2\/2 - 221548340*f + 110766728 = 0. Calculate f.\nAnswer: 1, 14884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Calculate the remainder when 88620 is divided by 229.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*g**2*l**3 + g**2*l - 19*g**2 + l wrt l.\nAnswer: 324*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j + 3. Let l(w) be the first derivative of -7*w**2\/2 - 4*w + 20. Give 6*a(o) + 5*l(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**3 + 942*x**2 + 24*x - 3824. Determine s(157).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v - v + (0*v + 3*v - 5*v)*(-5 + 1 + 3 - 5 + 2 + 4 + (-4 + 3 + 3)*(1 + 0 - 3) + 0 + 0 + 1).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**6\/15 + g**5\/10 + g**4\/3 + g. Suppose t(d) = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + -1*(sqrt(1573) + 1) - (4 + (sqrt(208) - (sqrt(208)*2 + sqrt(208))*1)))**2.\nAnswer: 12*sqrt(13) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4480972 - -2480972. What is a rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 251*p**2 + 3*p - 5*p + 2*p - 1726 + 3702*p**2 wrt p.\nAnswer: 7906*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 2, -1, -6\/11, 1 in ascending order.\nAnswer: -1, -6\/11, 1, 2, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*i + 13, 0 = -5*f + 3*i - i + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311 - 1327*t**2 - 7*t**3 - 1316*t**2 - 1323*t**2 + 3966*t**2 to n*t**2 + i*t + o*t**3 + g and give g.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 102*l**2 + 497*l - 185. Calculate m(-4).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-78)\/30 - (-6)\/10. Let m be 1*4\/(h - -3). Solve m*i - 1 + 23 = 2*b, 8 = 3*b - i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 k, and 1 r when four letters picked without replacement from {e: 1, v: 1, r: 2, w: 5, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, -4\/7, 8.1, 2\/7, -424.\nAnswer: -424, -4\/7, -2\/5, 2\/7, 4, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1834*w - 15. Is c(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*d**4 - 348 + 640 - 521 + 2*d wrt d.\nAnswer: 804*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1945127 - 1293290 = -208*y - 793377. Is 35 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-30))\/(((-15)\/5)\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 13*b + 44. Calculate q(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.865, -3\/7, -5\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 313.1*408\nAnswer: 127744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a minute in seconds?\nAnswer: 198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/136 - 268\/(-34). Suppose 4 = 3*n - c. Put n, 5, -1 in ascending order.\nAnswer: -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112212220100 + -11?\nAnswer: 11112212220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84175012 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25d69d - -159?\nAnswer: -25d544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -122*j - 1485. Let n(t) = 2*t. Give n(m(k)).\nAnswer: -244*k - 2970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, y: 1}. Give prob of sequence zyz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b - 102. Let o be p(4). Suppose -3*i = -q + 43, o*q - 5*i + 143 = 17*q. Solve -12*x - q = 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20129 is divided by 295?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6. Let c(q) = -q - 1. Let m(n) = 2*c(n) - u(n). Suppose 0 = -d - d + 36. Calculate the remainder when d is divided by m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, i: 7}. Give prob of sequence ooii.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/139 + 229\/4170. Let d(a) be the third derivative of 0 + 0*a**4 + 4*a**2 + 0*a + k*a**5 + 1\/30*a**6 + 0*a**3. Find the third derivative of d(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129998577156 + 0.1\nAnswer: 129998577156.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 2*q + 4. Let b(g) = 5*g**2 - 7*g - 1. Let m(z) = z**2 - z. Let t(o) = -b(o) + 6*m(o). Let k be ((-28)\/7)\/4 + 2. Give k*h(x) - 2*t(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233110220 - 11?\nAnswer: -233110231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + -12 - (3 + -1 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 89. Let d(n) = 2*n**2 + 5*n - 6. Let o be d(c). Which is smaller: o or 13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -565 divided by -565.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2500673723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*h)*(0*h**2 + 2*h**2 + h**2)*(2 + 2 - 3)*(-5 + 0 + 4) + 5*h**3 + 16*h**3 - 4*h**3.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-410)\/(-135) - 56\/1512. Let r = 7.1 + -7. Which is the closest to r? (a) t (b) 2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.6 + -14.2. Which is the biggest value? (a) -2\/5 (b) y (c) 2 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 19*m - 33. Let o be n(-13). Let c = -67 - o. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -2 + 0*i + 1\/60*i**5 - i**3 + 0*i**2 + 0*i**4. Let z(n) be the third derivative of p(n). Let g(d) = -2*d. What is g(z(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1111112111?\nAnswer: 1111112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 24*z - 90. Let u be h(15). Suppose 24*i - 9*i - 18885 = u. List the prime factors of i.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/21)*z\/z**(-2\/5))\/(z\/(z*z**(2\/5)))**(5\/9) assuming z is positive.\nAnswer: z**(841\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 2 t when four letters picked without replacement from vcvvttltmvtjml?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 12, 34, 10, 9 in decreasing order.\nAnswer: 34, 12, 10, 9, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41065920 a multiple of 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*p - 2*p + 14, 0 = 4*z - 5*p - 60. What are the prime factors of (-3 + z\/4)*0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23854433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178 and 78?\nAnswer: 6942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 443 - 135 = -3*x, -29 = -5*i - 3*x + 107 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 151 + 21 = -10. Suppose -2 + 0 = -2*l. Solve 4 + l = v*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + z - 0 - 7, -3*z = -9. What is m in 24*m - 4*m**f - 21*m + m**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - (4 - 13)) + (26\/8)\/1. Suppose 0 + 3\/2*z**2 - n*z - 1\/4*z**3 = 0. Calculate z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 12)\/(2\/1). Solve -3*z + 3*i = -4*z + 13, d = 2*z + 5*i - 22 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146425681, -146425680, -146425679, -146425678, -146425677, -146425676?\n\"Answer: x - 146425682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 8\/37, -26.33, -5 in ascending order.\nAnswer: -26.33, -5, -3, 8\/37, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272 + -272. Solve b = -5*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 7115*z.\nAnswer: 5*z*(z + 1423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + ((-537)\/21 - (-522)\/203).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799145 to the power of 1\/2, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821171227?\nAnswer: 89, 509, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p - 21. What is w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 62 - 4*b**2 - b**2.\nAnswer: 4*b**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -33 - (39 + -42).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -5, 5, -375, 37, 3 in increasing order.\nAnswer: -375, -17, -5, -4, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145700, 145694, 145700, 145718, 145748, 145790, 145844?\nAnswer: 145910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28421429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 19*c**2. Let b(y) be the first derivative of 31*y**2\/2 + 74. Calculate b(k(g)).\nAnswer: 589*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1767*k - 1742*k - 1840*k + 7063*k - 1747*k.\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 53*s**2 - 8*s - 6. Let m(t) = 3*t - 16*t**2 - 2*t**2 - 3 + 4 + 1. Let f(g) = -3*j(g) - 8*m(g). Differentiate f(r) wrt r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5 - 20*o**4 - 90*o**3 + 200*o**2 + 565*o + 300 = 0.\nAnswer: -3, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-4)\/(-6). Let c(i) = 4*i + 4. Calculate the remainder when c(6) is divided by ((14 + v)*1)\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1 - 1 + s**2 - 4 + s. What is the lowest common multiple of i(3) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -104. Let m be (87\/145)\/(x\/(-10)). Suppose -4 - 5 = -3*w. Solve -w*o + o = -m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(1\/11)\/u)\/u)\/u*u)\/u)**(-22\/3) assuming u is positive.\nAnswer: u**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 11*l - 32*l - 2*l as b + p*l and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 60. Let m be p(-15). Let j be (m\/(-2))\/(8\/(39 + 9)). Which is smaller: j or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 16806050?\nAnswer: -16806051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/19294 + 4490676\/48235. Let f = 93 - k. Let w = -2 + 2.5. Put -1\/3, w, f in descending order.\nAnswer: w, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x + x)*(9*x - 3*x**3 - 9*x + (-2*x**2 + 3*x - 3*x)*(x + 3*x - 5*x) - x**3 + 4 - 4) + (0 - x**2 + 0)*(9*x**2 - 3*x**2 - 3*x**2)*(-5 - 4 + 15).\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x + 30. Let c(y) = 9*y - 29. Let d(i) = -2*c(i) - 3*f(i). What is the derivative of d(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 112?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.053 (c) -53 (d) 0.2 (e) 4 (f) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(63) - sqrt(7) - (-1*sqrt(252))**2)*5.\nAnswer: -1285 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1540, 1539, 1538, 1537, 1536?\n\"Answer: -z + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1423*w + 1132711. Give z(-796).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -389468*w + 6 + 389468*w - 332*w**2 + w**3 - 5 to the form q*w**2 + l*w + c + t*w**3 and give q.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5\/4, 0.1, -7, 0.8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 121434?\nAnswer: 1214340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 58.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*r - 3*l = -193*r - 34, -21*l = -r - 298 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/49 and 58\/133.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/660*22\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/570 and -91\/3947730?\nAnswer: 75006870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdm when three letters picked without replacement from dbxmmb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y + 379*y = 3*y - 900*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29 and 0.04745?\nAnswer: 29.04745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-5) + -1 + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-535*k - 949*k + 39*k + 69*k + 102*k)*(96*k**4 - 33*k**4 - 22*k**4).\nAnswer: -52234*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 243\/18*(-5600)\/(-504).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63132 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(190) + ((sqrt(190)*2 - sqrt(190)) + sqrt(190))*4))\/(6*1*sqrt(360))*6.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -4.7, 20\/8919?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/29784921?\nAnswer: 2\/29784921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 7\/2*d**2 + 15*d - 5\/6*d**3 + 0 + 1\/10*d**5 + 3\/4*d**4. Let w(u) = -u**3 - 4*u**2 + 2*u - 3. Calculate -4*l(g) - 9*w(g).\nAnswer: g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + d**2 - d + 1. Let z be m(0). Let j = -38765\/3 + 12803. Let y = 117 + j. Which is the closest to z? (a) 2\/5 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 4. Determine w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 106371042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssoooaooiooa. Give prob of picking 1 i and 3 o.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 94020 to the nearest 1000.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 2351*b - 4 - 2354*b + 4705*b.\nAnswer: b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315 - -315.7. What is the third smallest value in -2\/3, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 7385*q - 7402*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y - 6*y)*(6*y + y - 4*y) - 213*y + 27*y**2 + 213*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316*d*p**2 + 381*p**2 wrt d.\nAnswer: 316*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/5360 and -87\/267464.\nAnswer: 2674640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*q + 2737*q + 95*q + 1715*q.\nAnswer: 3942*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -131177442 smaller than -131177442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*t + 887, -4*t - 4*m - m = -1779. What is the greatest common divisor of 41 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from sssstktsggssgsgtgs?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3 - 17*y**3 + y**2 - 5 + 2*y + 3. Is 7 a factor of k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1663874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 51*r = -112. Let k(i) = 127*i**2 - 4*i - 5. Let h be k(-1). What is the greatest common divisor of h and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 103480704, 206961406, 310442108?\n\"Answer: 103480702*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*k - 67*k = -4635 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.9 and -915.218?\nAnswer: 916.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/(-3))\/(4\/(-112)*4). Let x = 170 + a. Solve -9 = x*p - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*(-3*t + 2*t + 0*t) - 36*t + 44*t - 131*t to s + a*t and give a.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 13*c - 12. Let x be o(-5). Let w be (-1 - x\/6)*(1 - 4). Differentiate -w*g**4 + 10*g - 15*g - 12 + 5*g wrt g.\nAnswer: -68*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 - (-15)\/12). Let s(a) = 5*a**3 - 5*a - 2. Let z be s(q). Let y = 633 + z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3884*v**2 - 1894. Let d(u) = -u. Calculate k(d(b)).\nAnswer: 3884*b**2 - 1894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, m: 16}. Give prob of sequence mmf.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:52 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*f + 57 - 299, 5*f = 25. What is the common denominator of (-6)\/(-132)*d\/2 and 37\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72316*a**3 + a**2 - 20*a - 286 wrt a.\nAnswer: -433896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*6*(-3)\/(-9). Suppose -3*p + 2*f + 10 = -5, -u*p + 2*f + 18 = 0. Solve p*x - 8 = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2 + 5*r. Let o = 135 - 138. Let n be l(o). Solve -c = n*p + 5, -2*p = -2*c - 4 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*a + m, 4 = 2*a - 3*m - 3. Let b(x) = 83*x - a - 2 - 73*x. What are the prime factors of b(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 + 3. Suppose 19 = -5*v - 4*f, 2*v = v + 4*f + 1. Calculate o(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -4.34273875.\nAnswer: -5.34273875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 - 6*b - 7. Suppose 1 = v - 4. What is d(v)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36\/19497311 or -1?\nAnswer: 36\/19497311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4104*m = -4106*m + 6. Suppose f = -f + 6. Is f at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 577 - 82 = 0. Let b be (-6)\/24 + x\/(-12). Suppose -5 = -b*n - 21. What is the biggest value in -3\/4, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1) + 4 + -2. Suppose -3 = -4*s + 5. Suppose -3*y - s*u = -25 - 7, 5*y = -u + 58. Solve 0*x - q*x = -y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10121 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*z + 5*s, -696*z - 3 = -697*z + s. Solve 0 = -2*l + z*v, v = -25*l + 22*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 32.7. Let y = i + -18.1. Round y to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (97 + 460*x**2 - 705*x**2 - 91)*(4 + 2*x**2 - 4) - 1 + 1 + x**4 as o*x + z*x**3 + f*x**4 + g + s*x**2 and give f.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*j**4 + 14*j - 20?\nAnswer: -40*j**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -303, -300?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 2*p + 44. Let c = 69 - 59. Let i be x(c). List the prime factors of (i + 2)\/(13\/(-65)).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4290)\/104)\/(-11)*88\/330*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268574923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154509*o**3 - 1064467*o.\nAnswer: -927054*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4\/18 - 10*g**3\/27 - 8*g**2\/9 + 8*g\/3 + 4. Factor h(y).\nAnswer: 2*(y - 6)*(y - 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494 and 16.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6569 - -4.\nAnswer: -6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204.972 - 137.98. Let o = -67 + n. Let g = -0.108 - o. Which is the smallest value? (a) 1 (b) -2 (c) g (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*y + 3*y. Let o(x) = 8*x - 2. What is the smallest common multiple of 14 and o(y)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -478*l - 129645. Calculate k(-271).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.125 and 132581.21?\nAnswer: 132581.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1863623 and 56504?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 5*r**3 + 5*r**2 + 2 - 4*r**3. Let k be j(-8). Suppose k = w + 3, 0 = -4*o + 3*w - 33. Let a(t) = t + 1. Determine a(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 20 - i - 16 - i to a*i + q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)\/(g\/(g*g**(1\/7))))\/(((g**(-1\/3)\/g*g)\/g*g*g)\/g**18) assuming g is positive.\nAnswer: g**(671\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 348 = -10*g. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/5 + 234*t**2\/5 + 92*t = 0.\nAnswer: -115, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 14276.2304 to zero decimal places.\nAnswer: 14276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/30 + (-1)\/5)*-39. Suppose -f*n + 9*n = -332. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 60891818?\nAnswer: 3\/60891818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y\/(y*y**(-5\/3)))\/y*y*y**(-14\/11)*(y**(2\/5))**(-12) assuming y is positive.\nAnswer: y**(-562\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*b - 3*b - 1, 5*q = -10. Let x(s) = -s. Let u(t) = t**2 + 2*t + 6. Let d(i) = b*u(i) + 3*x(i). What is d(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 5*l - 5. Let j(a) = 3*a**2 - 7*a - 7. Let f(b) = -7*c(b) + 5*j(b). Let s(x) = x**2 - 11. Calculate f(s(v)).\nAnswer: v**4 - 22*v**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3233 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -13. Suppose -t*s + 227 = -39. Suppose 38 = -q + 2*q. Calculate the greatest common factor of q and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/4 + 11*d**2\/2 - 9*d. Find the first derivative of b(m) wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/72)\/(83\/(-1494)). Are -1\/7164 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**3 - p**2 + p - 2. Let s(t) = 31*t**3 + 4*t**2 - 4*t + 9. Let q be 36\/21 - 2\/(-7). Let c(o) = q*s(o) + 9*r(o). Let z = 2 + -1. What is c(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/3850 and -91\/18700.\nAnswer: 130900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7658516 (base 10) to base 4\nAnswer: 131031300110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 30 - 56 - 6*k + 27. Is w(10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 89 + 275*x**2 + 41 - x**2 - 2*x**2 + 2*x**2 + (-6 + 27 + 11)*(5*x**2 - x**2 + 3*x**2) as d*x + o + h*x**2 and give h.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/7)*(u\/u**(-3\/14)*u)\/u assuming u is positive.\nAnswer: u**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 1. Let d be b(5). Let q(a) = a - 1. Let k(y) = -9*y - 123. Let p be k(-14). Let h(m) = -10 + 0 - 3*m + 5 + p + 6. What is d*q(i) - 4*h(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (41511\/(-12))\/(15*1\/(-180))?\nAnswer: 3, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*i + 26 + 70 = -141. Let s = -27 + 109\/4. Sort 1, i, s, 10.\nAnswer: i, s, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-o**3 - 1 + 1) - 38*o**3 - 183*o + 182*o - 15 + 57*o**3 as c*o + b + l*o**2 + f*o**3 and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + m)*(-1 - 3 + 2) - 10 + m + 10.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-196))\/((372\/56)\/(-31))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295818?\nAnswer: 2, 3, 47, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.29 + 0.11. What is the closest to -4 in 0.3, r, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 28*a - 2. Let j(u) be the third derivative of 0 + 0*u**4 + 2*u**2 + 0*u**3 - 1\/30*u**5 + 0*u. Give j(w(m)).\nAnswer: -1568*m**2 + 224*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34867\/16665 + 2\/1515. Suppose -2*k = -5*k - 138. Calculate the common denominator of k and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) -9 (c) 0.2 (d) 0.4 (e) -924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e (base 15) to base 12.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + -4.2. Let s = 1 - 1.2. Which is the closest to 3? (a) s (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45208497 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 - f**3 + 7*f**3 + 5 - f**3 to the form a*f**2 + c*f**3 + v + g*f and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*o = -60*o + 4. Let j be ((-13)\/3)\/(o\/(-12) + 0). Solve 0 = -12*n + j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.3 + -16.3. Sort -1, -0.9, s, 4\/7.\nAnswer: -1, -0.9, 4\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -6545.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161064934.9 + -2972.4.\nAnswer: -161067907.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide (-331 + 23 + -8)*(0 + -234)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 9*z + 9. Suppose 17 + 3 = -5*v, -5*x + 2*v = 17. Let j(t) = t**2 + 7*t + 1. Let o be j(x). What is the units digit of n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -0*d + d. Suppose -3*h + d = -24. Let f = -55 + 62. What is the lowest common multiple of h and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 274 + 34 = 0. Calculate the remainder when 116 is divided by s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, w: 1, z: 2, v: 1, q: 1, p: 1}. What is prob of sequence pywv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 3*u + 3. Determine k(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 546 - 75 - 305 + 7*w - 88.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 + l - 4. Let g be u(4). Suppose p + 2*p - 81 = g. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/90*10*(104 + 0). Calculate the highest common factor of p and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/7)\/y))**30*((y\/y**(1\/4))\/y)**(-17))\/(y**4*y\/(y\/(y\/(y*y**(-1\/2))*y))*y*(y*y\/(y\/y**(-2\/3)))**14) assuming y is positive.\nAnswer: y**(5179\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:57 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 8 - 10. Solve 6 = -0*t - j*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcqccvcqcccv. What is prob of picking 2 q and 2 c?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707870 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.457 + 0.46083. Round x to four decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 5*m**2 + 3*m - 12. Calculate j(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 + 27*a + 11. Let k = 18 + -25. Let h(p) = 3*p**2 - 14*p - 5. Let b(o) = k*h(o) - 4*q(o). Does 7 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3468 and 2176.\nAnswer: 110976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 - 282*g - 103. Let h be b(-56). Solve 12 = w + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -240*d**2 + 360?\nAnswer: -480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -1\/2, 10, -0.3, 559?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024607 rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117947656 is divided by 44408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1363 + 1381. Calculate the lowest common multiple of 16 and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 2 - 634*a + 634*a + 2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 12) to base 5.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.648 rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j + 0*j)*(1 - 3*j**2 - 1052*j + 2892*j + j**2).\nAnswer: 4*j**3 - 3680*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277692?\nAnswer: 2, 3, 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24179 - 16.94057?\nAnswer: -24195.94057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r - 24. Let k be r*(1 + (-2)\/3). Factor 4*x**2 - 5*x**2 + x**4 + k*x**3 + 3 - 2*x - 3.\nAnswer: x*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/24*4\/18. Let k = 4\/1817 + 12479\/109020. Let s = k + p. Sort 5, s, 4.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, b: 4, v: 4}. Give prob of picking 4 v.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 - 25) + (-15)\/((-1650)\/1180). Let t = -5.4 - -5. Let x = t - -0.6. Does w = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 23\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/41)\/(r*r\/(r**(-24)\/r)*r))**(4\/15))**38 assuming r is positive.\nAnswer: r**(-58064\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 6, -5, -4\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16789 by 16789.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(280\/28*2\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4107.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1715 - 3*l**3 + 1333 + l**3 - 2*l**3.\nAnswer: -4*l**3 + 3048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 41*k - 1308. Determine n(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**5\/5 + 3*m**4\/2 - 7*m**3\/3 - 91. Find the third derivative of a(z) wrt z.\nAnswer: -48*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 298\/205?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**3 + 3*j**2 - 129*j - 530. What is a(-4)?\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 7, c: 1, u: 3, q: 1}. Give prob of picking 1 a and 1 r.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 greater than or equal to 107517\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4082 divided by -26.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165*r*v + 2*r - 2*v + 525 wrt r.\nAnswer: 165*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4936*i**2 - 2 - 5614*i**2 + 8884*i**2 - 3*i to the form h*i**2 + s*i + a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 7*a - 3 - 4 + 6*a**2.\nAnswer: 6*a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-6 + 6 + h) + 1 - 2*h + 0*h + 3*h.\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -187 + 5?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 - -204. Let z(h) = 7*h**2 - 21*h - 19. Does 9 divide z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 8*p**2 + p - 2. Suppose 5*v = -4*s + 25 + 13, -v + 8 = s. Suppose 4*a - 2*z = 40, a + 3*z = v*z + 20. Determine f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 times -94227?\nAnswer: 44192463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:32 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let i(w) = 4*w + 2. Let u(p) = 49*p - 2. Let c(y) = -5*i(y) - 6*u(y). What is c(v(z))?\nAnswer: 628*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3 - 7*a**2 - 7*a**2 - 2*a**2 - 7*a**2 + 13*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12.1. Which is the nearest to 1? (a) -1\/5 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {l: 1, v: 1, f: 1, s: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550671 and 18876.\nAnswer: 28634892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 20. Suppose 5 = x*u - 4. Let y be (-2)\/8 + 4\/16. Solve 4*a - 9 - u = y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*j**3 + 69*j**2 + 277*j**3 - 130*j**3 in the form g*j**3 + b + y*j + n*j**2 and give n.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -15, -1\/2, -16.7, 3\/8, -0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 952.2832 litres?\nAnswer: 952283.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.04 - -37. Let s = 0.34 + l. What is the second smallest value in -5, -3\/5, s?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 22. Let k(a) = -2*a + 25. Let b(o) = 6*k(o) - 7*l(o). Let j(q) = -6*q - 5. Calculate -7*b(d) + 6*j(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19759, 20074, 20917, 22552, 25243, 29254, 34849, 42292?\n\"Answer: 44*c**3 + 7*c + 19708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26545, 26579, 26613, 26647?\nAnswer: 26681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 292561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/15 - 1\/3. Let f = -124 + 109.9. Let s = 14 + f. Does z = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8590268 millimeters to nanometers.\nAnswer: 859026.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from nnnnnddduududu.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*3 + sqrt(11))*-2 - sqrt(11)*-1*-4)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 8*q**2 + 1. Let v be b(8). Let m be 2 + (-2 - (v - 1)). What is t in 0*t + m + 5\/3*t**3 - 2\/3*t**2 = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8032332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**3 - 112*c**3 + 42*c**3 + 30*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7139 - 6*x - 7139.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 197990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -76, -61, -32, 17, 92, 199, 344?\n\"Answer: s**3 + s**2 + 5*s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.86.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17346, 69447, 156276, 277833?\n\"Answer: 17364*y**2 + 9*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10409972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 1 - 1)*(13 - 22 + 16) + (2 + 0 + 0)*(-j + j**2 + j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 8*t - 28. Let i be u(-5). What is the highest common divisor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.8 - 59.44.\nAnswer: -8.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*p**2 - 1274 + 1274)*(21 + 0 - 12).\nAnswer: -171*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 13 + 17. Sort x, -1, 2, 1.\nAnswer: x, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179902.6 days in minutes?\nAnswer: 259059744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-900 - -935) + (-23 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.5. Let i = -521\/5 + 104. Which is the closest to i? (a) -4 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58509.57ml in litres?\nAnswer: 58.50957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88467 + 88471. Let v be 17\/4 + 3\/(-12). Let m = 0 + v. Calculate the remainder when w is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 5. Let z be l(4). Let o(q) = 4*q**2 - 2*q - 4 + 6*q**2 - 3 - 7*q + q**2. Does 6 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-72)*-2)\/(-1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 11*o**2 - 27*o + 81. Let k be y(9). Factor -1\/7*l**5 + 1\/7*l**4 + 0 + k*l - 1\/7*l**2 + 1\/7*l**3.\nAnswer: -l**2*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 4*o**2 + 10*o - 9. Let q be w(6). Let x be (18\/q)\/((-2)\/(-14)). Let r(d) = d**3 + 7*d**2 + 7*d + 7. Give r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45677403469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163.09 + 5.\nAnswer: 168.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(36)\/((sqrt(300) - -3*sqrt(300)) + sqrt(300)))**2.\nAnswer: -3122\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46 and -0.0082.\nAnswer: 0.3772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289703021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4152229\/4 or -4?\nAnswer: 4152229\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -222.1 + 222. Sort 0.3, v, 1, 10 in increasing order.\nAnswer: v, 0.3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 8. Let p(r) = -3*r + 13. Let n(m) = 5*a(m) + 3*p(m). Let g be (-1)\/(1\/1) + -6. Calculate n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykkkybyyyyyk. What is prob of sequence bky?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + -15 + (1 + -2)*3. Which is the third biggest value? (a) -0.3 (b) w (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:28 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjaajjl. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 168*y - 834. Calculate the remainder when 154 is divided by g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, 168 in decreasing order.\nAnswer: 168, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1849 is divided by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367 + 6221023?\nAnswer: 6221412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 + 27260*z - 380660 = 0. Calculate z.\nAnswer: 14, 5438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 6) in base 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 4286*i - 1. Let x(j) = -j. Calculate c(x(w)).\nAnswer: -2*w**2 + 4286*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -11 (c) 1\/37 (d) 17 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2959020?\nAnswer: 2, 3, 5, 17, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148683, -297352, -446021, -594690?\nAnswer: -743359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 - q**4)*(-154 - 2*q + 7 + 72).\nAnswer: 2*q**5 + 75*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -96. Suppose 2*o + 6*t = t + 65, 0 = -o - t + i. Suppose -3*n + 2*n + 12 = 0. What is the smallest common multiple of n and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(-12))\/(b\/(b\/(b*b\/b**(2\/13)*b))) assuming b is positive.\nAnswer: b**(158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11962313 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 39*i**4 - 10*i**3 - 2*i**2 - 4*i**4 - i**4 + 7*i**3 + 1 in the form m*i**2 + r*i**4 + u*i**3 + g*i + k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*c**5\/4 - 165*c**4\/2 - 235*c**3\/2 - 70*c**2 - 45*c\/4 + 5\/2.\nAnswer: -5*(c + 1)**4*(17*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxa when three letters picked without replacement from xxaaxxa?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5292 - 5274. Suppose -2*m = 2*m - 2*f + 8, -5*f = 4*m - 20. What are the prime factors of y\/6 + m + (183 - 1)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - (-3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3 + 3)*(d**3 - 2*d**3 + 4*d**3) + 3*d**4 + 0*d**4 - 2*d**4.\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 508940865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1377 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 9. Let h(l) = 3*l**2. Give h(i(p)).\nAnswer: 3*p**2 + 54*p + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = -10. Let x = 1 - -1. Let v be (8\/(-4 + 2))\/(1 - 0). Put v, x, k in increasing order.\nAnswer: k, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126173740 a multiple of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111101001010000101 - -1000111?\nAnswer: 110111101001011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 = -14. Let y = -28 + 34. Calculate the least common multiple of y and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (163\/81 - 2)\/(121 - 17836\/147)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, -4, -89, 9, 0.9 in ascending order.\nAnswer: -89, -4, -1.7, 0.9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3\/5, -6, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 8*m + 2. Let l be c(-6). Let d = 41579 - 41579.5. What is the closest to l in -2, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1685 - -8561?\nAnswer: a026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.7 * -43230.\nAnswer: -1716231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 30. Suppose g = -3*c + 4*f, -4*c - f - 1 = -0. Which is smaller: c or -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4468455 is divided by 1083?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-84) + (-8)\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - u + 9. Let w(j) = -10*j**2 + 3*j - 28. Calculate 7*a(f) + 2*w(f).\nAnswer: f**2 - f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 452 - -71994?\nAnswer: 72226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-216)\/(-144)*(15 - -1). Which is the second smallest value? (a) 0.4 (b) -2 (c) f (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11575383?\nAnswer: 3, 3858461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.29 + 9.29. Let k = 17 - 1. Which is the nearest to k? (a) 0.3 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221001 (base 4) in base 13?\nAnswer: -c4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 5.1. Sort -0.4, 5, n in descending order.\nAnswer: 5, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -6*k**4\/5 + 12334*k**3\/5 - 57428*k**2\/5 - 64*k\/5 + 131264\/5 = 0?\nAnswer: -4\/3, 2, 4, 2051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-1)\/(6\/12). Let h be (-2 - -3)\/(v\/3698). Let a = h + 40647\/22. Find the common denominator of a and 145\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(80)*2 - sqrt(80))\/(sqrt(8) + 5*(-1*sqrt(8) - sqrt(8))))\/(-3*(sqrt(245) - -6*1*sqrt(245))).\nAnswer: -sqrt(2)\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 463012*p**3 - 6 + 463013*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 76894 = 2*y - 1105170, 4*z = 5*y - 2955142. Round y to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/8)\/((-6578)\/184 + 36)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*-23*(-54)\/621.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 554803394.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10092336720900 and -1.\nAnswer: -10092336720901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6101051480 to the nearest one million.\nAnswer: 6101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4*y - 31051 = -95104. What are the prime factors of y?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8838685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 1 + (5 - 6 + 3)*(-5 - 3 + 3) + 0 + 2 - 4 + 3 + 2 - 7)*(3*d**2 + 2*d**3 - 3*d**2) to h*d + k*d**2 + c + w*d**3 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5460.16 + 5461. Which is the closest to d? (a) 0 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 58. What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h - 9535*h**2 - 3432*h**2 - 5646 + 4*h + 1477*h**2 with respect to h.\nAnswer: -22980*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {l: 16, c: 2}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 818*s**4 + 2674*s**4 + 0 + (3 - 2*s**2 - 3)*(4*s**2 + 3 - 3) in the form k + h*s**2 + g*s**4 + m*s + i*s**3 and give g.\nAnswer: 1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 390, 395, 412, 447, 506, 595, 720?\n\"Answer: x**3 - 2*x + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/(85\/(-102)). Sort 0.1, l, 7.\nAnswer: l, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -70*s**2 - 43*s + 43. Determine t(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 217464 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 874.8 and 0.1?\nAnswer: 874.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + k. Let w(m) = -8*m**2 - 6*m. Let f(i) = -5*v(i) - w(i). List the prime factors of f(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23262 - 3907*f + 23262.\nAnswer: -3907*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6782*z**2 + z - 347*z**3 - 6782*z**2.\nAnswer: -347*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 27 = -3*g - u, -u - 7 = -2*g. Suppose -4*b = -5*w + 27, -2 - 1 = 2*w + 3*b. Solve -g*j = -w*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3526 - 5?\nAnswer: -352b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/160*5*826\/(-1239)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -465\/13 + 35. Let u be 92\/348 - (-94)\/1363. Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - 20*w**2 + 4*w - 20. Let x be s(10). Suppose -v = -3*l + 19, v - 21 + x = -2*l. Sort v, -5, -3, 1 in decreasing order.\nAnswer: 1, -3, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/11, 25, -3\/2, 16, 21 in descending order.\nAnswer: 25, 21, 16, 1, -2\/11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottottuuuttu. Give prob of sequence ut.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 642824 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12222 and 288584506.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/(-102) - (-13)\/3)\/3. Let s(h) be the first derivative of -h - 1\/2*h**2 + 1\/4*h**4 - g*h**3 - 3. What is s(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64464 and 79158?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 10*w - 11 = -4*l, 13 = w - l. Calculate the highest common divisor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2251 (base 6) to base 15\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 34*d**3 - 7*d**3 - 58*d**3 + 28*d**3.\nAnswer: -3*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.91154 rounded to zero decimal places?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.20679176 and 6.\nAnswer: 6.20679176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:06 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*n**3*w**2 + 7*n**3 - 25*n**2 + 3*w**2 wrt w.\nAnswer: -74*n**3*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 17 = -5*c - 5*d, 3*c + 15 = -2*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 797*n**2 + 257*n**2 - 120*n**2 in the form s*n + l + y*n**2 and give y.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 8 + 17 - 13*h**3 + h + 0*h - 4*h**2 in the form l + n*h**2 + i*h + j*h**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27012026?\nAnswer: 2, 2621, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3657 - 3653. Solve -2*h - 2*h + r = 4*n, 3*h - 5*n + 37 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/10886 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5484624 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 58 = 4*r. Let z = -29 - r. Let q = -9 - -5. Which is the nearest to -1\/3? (a) z (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 75. Let p be o(-14). Solve z - 16 = p*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hipi when four letters picked without replacement from {h: 3, r: 5, j: 1, p: 3, i: 3, s: 3}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213577169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (-5)\/(-3)*(-1410)\/1175.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -216*g**2 - 2379*g - 16. Give z(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 4\/51601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2385883, 4771796, 7157709, 9543622, 11929535?\nAnswer: 14315448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*1 + sqrt(5) - 1*sqrt(45)) + (sqrt(20)\/sqrt(4) + 5 - (sqrt(20) + sqrt(80)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose -r*b - b + 4*k = -4, 0 = -4*b - 5*k + 49. Suppose -8 + 29 = -4*g + 5*x, 4*g = 2*x - b. What is the lowest common multiple of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 722 + 1188. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2751*f**2 - 23*f + 4. Let t(n) = 5504*n**2 + 50*n - 9. Calculate -6*t(c) - 13*x(c).\nAnswer: 2739*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195111341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(-3*sqrt(200) + sqrt(2)).\nAnswer: -sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(10)\/sqrt(2))**2*3 + 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p + 6790 = 45*p. Let h = p + -21725\/32. Is h greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(4134\/(-1040) - -4). Let z = 3.5 - 3. What is the second biggest value in f, -0.1, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69.22 - 65. Let j = d + 3.78. Which is the smallest value? (a) j (b) 2\/13 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 4*i = -180. Find the common denominator of 4\/(-20) - (-179)\/70 and 6\/i - 470\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -677242 + 974896. Let l = u + -468654. What is l rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64115, 64162, 64243, 64358, 64507, 64690?\nAnswer: 64907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5*l**2 - 2*l**2 - 1 + l**2.\nAnswer: -6*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/12 - o**3\/3 - o**2\/2 + 6*o. What is y in u(y) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49127 is divided by 50?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*2\/12*-2*-2. Suppose 0*i + n*i - 3*s - 241 = 0, -4*i - 4*s + 492 = 0. Suppose i = 4*p - 350. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, 208, 2, -3 in descending order.\nAnswer: 208, 5, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*g + 0)*(g - 2 + 2) - 3*g**2 + 4*g**2 - 2*g**2 + (720 - 1516 + 743)*(3*g**2 + 0*g**2 + 38*g**2) in the form z + m*g**2 + o*g and give m.\nAnswer: -2176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 930662*c**2\/3 - 36089909008*c - 252614162472.\nAnswer: -2*(c + 7)*(c + 232662)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7225819, 7225814, 7225809, 7225804?\nAnswer: 7225799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 416? (a) -5.91 (b) -3 (c) -2\/11 (d) -4 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a factor of 17493464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*d + 73384 - 73384 + (-5 + 0 + 3)*(-3*d + 3*d + d) - 2*d + 0*d + d + (0 + 2 + 0)*(3 - 3 - d).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 611 = -4*g - 143, 4*x = 0. Let k = g + 186. Does 45 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + d + 10 = 0, 2*t - 1002 = 2*d - 990 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710, -1474, -2238, -3002?\nAnswer: -3766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 66695 + 174678. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 44. Let b = 65 + -76. Let w be o(b). Solve -4*p + g + w*g + 16 = 0, -2*g = 5*p - 33 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p - 168. Let l be z(-15). Suppose 46*b - l*b - 10640 = 0. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845 is divided by 202?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3*a + 0*a)*(0 - 6 - 1)*(a**2 + 3 - 3 + (a - a + a)*(2*a - 6*a + 2*a) - 2*a**2 + a**2 - 2*a**2).\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.202 + -1.302. Sort -0.3, 0.01, a, -12.\nAnswer: -12, -0.3, a, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 22 = -j, 2*j - 5*u = 3*j - 37. Suppose -64 = -4*b + 2*n, -5*n - 58 - 22 = -5*b. What is the highest common divisor of b and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(1088)*-1 - (-2 + sqrt(1088)*-3*5))**2.\nAnswer: 213248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.9628939 plus 1?\nAnswer: -14.9628939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -542 + 930. Let t = v - 381. Is t less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8700)\/1885*13\/2)\/(6\/9).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353, 577, 957, 1499, 2209, 3093?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((8 - 0) + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*w - 38*w + 23*w)*(w**3 - 3*w**3 + 4*w**3)*(-3 + 2 + 0) to the form j*w**3 + z*w**2 + s*w**4 + f + c*w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1118, -198, -1 in descending order.\nAnswer: -1, -198, -1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437*d*t**3 - 4*d*t**2 - 3*d + 9626*t**3 - 6044*t**2 + 2*t - 2 wrt t?\nAnswer: -2622*d + 57756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 80*c**3 - 70*c**2 + 70*c. Let x(p) = -p**3 - 2*p**2 + 2*p. Determine 2*g(q) - 70*x(q).\nAnswer: 230*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1615*c**2*d - 48*c**2*z - 2*c*d*z + c*z - 3*z wrt d.\nAnswer: 1615*c**2 - 2*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 2816?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -7737999 in ascending order.\nAnswer: -7737999, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 3*y**2 + 15*y**2 + 14*y**2 - 26*y**2 + 8*y**3.\nAnswer: 8*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 - 3*o - 1. Let c be n(5). Suppose -84 = 7*u + 26*u - 150. Solve 0 = y + u*y - c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 5:24 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 2*w + 4*w**2 - 5 + 0*w. Let r(a) = -6*a**2 + 7*a + 7. What is 7*q(j) + 5*r(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**2*s**3 - 7*q**2*s - 108635*q**2 + 2*q*s**2 - 5293258*s**3 wrt q.\nAnswer: -2*s**3 - 14*s - 217270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30188?\nAnswer: 2, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 + 3*w\/2 + 36.\nAnswer: -3*(w - 8)*(w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 11 + -50 + 2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2072 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 57585.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15643*d*l + 73461454*d + 6355*l with respect to l.\nAnswer: 15643*d + 6355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/4 - (-5)\/10. Suppose 3*n - 4*n = -8. Let k = n + t. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100762 and 747?\nAnswer: 906858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + 2*sqrt(1872))*2 - sqrt(1872))**2 - ((sqrt(637) - (sqrt(637) + 3)) + sqrt(13))**2*-3.\nAnswer: -18*sqrt(13) + 46866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 5. Let y(d) = 5*d**2 - d - 4. Let j be y(2). Suppose 3*h - j - 13 = 0. Let f be v(h). Solve -f*l + 4 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvevvdxvdvddvdd. What is prob of sequence vdvd?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - v = -9*c - 16, -v = -3*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -862*i - 6067. Determine b(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2*m + 6*m - 2*m + (-3 + 0 + 2)*(-4*m + 3*m + 0*m) - 2 + 2*m + 2)*(-m + m**3 + m).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l. Let y(t) = -t - 2. Let q(h) = 2*h + 3. Let c(a) = -2*q(a) - 3*y(a). Determine -5*c(p) + 3*f(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 263, 255, 247?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtatkakajtt. What is prob of picking 1 k and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:34 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.33 - -2.93. Put 0.2, -11, g in ascending order.\nAnswer: -11, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -2 + (-93 - -86) + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - g = g + 2051, -5*q + 4*g + 2057 = 0. Let d = 572 - q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28642373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 152046, 152049, 152056, 152067?\n\"Answer: 2*z**2 - 3*z + 152047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502097*y = 504469*y - 109112 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 - 6) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 + 39604*r**2 - 39598*r - 79204 = 0.\nAnswer: -1, 2, 19801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/4)\/l)\/l*l\/(l**(-22)\/l) assuming l is positive.\nAnswer: l**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73541 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*x = 1413 - 148 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*h - 299*h - 144 = 30*h - 14764 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 15. Let u = 30 - w. Suppose -u*o + 65 = -o. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 + 165887*u\/6 - 82943\/3.\nAnswer: -(u - 165886)*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4 + sqrt(1008)*-2 - (3*sqrt(1008)*1)**2)*-3 + 4)*-6.\nAnswer: 432*sqrt(7) + 163392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 10*r**2 + 16*r + 2. Let t be q(4). Suppose -5*h + 360 = 3*b, t = 2*h + b - 111. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 57146*g + 114288.\nAnswer: (g + 2)*(g + 57144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 17 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 + 13*o**2 - 31*o + 27. Let f(q) = 2*q**3 - 7*q**2 + 15*q - 13. Let c(b) = -7*f(b) - 3*m(b). What are the prime factors of c(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316*f**2 - 291*f?\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -31*j**4\/4 + 29*j**2\/2 - 29. Find the second derivative of o(g) wrt g.\nAnswer: -186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169650291950 + 0.5\nAnswer: -169650291949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 24 + 6. What is the tens digit of y\/(-9) + (-58)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - a + 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 159 - 13 = 3*q, 134 = 3*q - 4*h. Let z = -4706 + 4855. What is the remainder when z is divided by q?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 95*2\/35 + 6\/(-14). Solve k*s = 2*l + 15, -4*l = -2*s - 0 + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/30)\/((15\/(1950\/4))\/2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*s**4 - 26*s**3 - 11*s**2 + 2*s.\nAnswer: s*(s - 1)*(5*s + 2)*(7*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*s**3*y**2 - 4*s**3*y + 12280*s**3 + 16*y wrt y.\nAnswer: -24*s**3*y - 4*s**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-12)\/(-4))\/(-2). Let n = 81\/145 + 36\/29. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22995 and 56?\nAnswer: 183960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88807*s**5 - 1498072*s**2.\nAnswer: -5328420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - k + 68. Let p(n) = -2*n**2 - n + 135. Let x(t) = -11*j(t) + 6*p(t). Let i = 2 - 2. What are the prime factors of x(i)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/3))**(7\/4))**(-2\/53)\/((((t\/t**(-6\/5))\/t)\/t*t**(-1\/3)\/t)\/(t**(-2\/5))**(-12)) assuming t is positive.\nAnswer: t**(3133\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*a + 55*a + 330*a.\nAnswer: 243*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/11 + 26176*m**2\/11 + 3694040*m\/11 + 129634400\/11 = 0. What is m?\nAnswer: -70, 13228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -11 - 4. Suppose 3*o - 28 = -4*x, 0 = n*x - 14 - 6. Suppose 160 = o*u + 44. Calculate the remainder when u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(-8)\/y)*y)*y*y)\/y)\/(y\/y**(-4\/9))*(y**2)**(-23) assuming y is positive.\nAnswer: y**(-508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142 + 138. What is the third smallest value in f, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9869*h + 4. Let q(w) = -3*w. What is q(t(k))?\nAnswer: -29607*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 13414328.\nAnswer: 53657312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -81684300 divided by -5445620\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 + d - 7. Determine o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*19\/95\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 30*j + 1. List the prime factors of d(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqquhqjujruruq. Give prob of sequence juuh.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3084868 and -0.3.\nAnswer: -3084868.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10236319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6790700.06 rounded to the nearest one thousand?\nAnswer: 6791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2864 is divided by 706.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2186000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 18, 53, 114, 207, 338?\n\"Answer: g**3 + 4*g**2 - 4*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 148*z**3 - 11984*z**2 + 34308*z + 936 = 0.\nAnswer: -1\/37, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125384 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351583704?\nAnswer: 2, 739, 228617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 2*g**5 - 2*g**2 + (371 + 253 - 119)*(-g**5 - 3*g + 3*g).\nAnswer: -503*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8238 is divided by 569.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2 + sqrt(405))**2 - sqrt(405)) + 1.\nAnswer: 27*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3913220 to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/9 - 730*b**4\/9 + 5204*b**3\/9 - 1544*b**2\/9 - 6928*b\/3 + 1984 = 0. Calculate b.\nAnswer: -372, -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let q(m) = 16*m**2 - 7. What is q(w(d))?\nAnswer: 16*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -21. Sort z, -1, -16, -3 in descending order.\nAnswer: -1, -3, z, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.5 times 53338?\nAnswer: 11334325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100959 + 417?\nAnswer: -100542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5311857*i*o - 5*i - 130*o + 120969 wrt i.\nAnswer: 5311857*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let y = p + -2. What are the prime factors of (3 + 11)\/(y + 0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 150, 221, 290, 357, 422, 485?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*i**6 + 85*i**5 + 22*i**2 - 12*i wrt i.\nAnswer: 1800*i**3 + 5100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11430000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -125982a5 - 4?\nAnswer: -125982a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1485 and 5342535?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.98*-5770.\nAnswer: -22964.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2911, -105, -5, -2, 133 in increasing order.\nAnswer: -2911, -105, -5, -3, -2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -3, 3 in descending order.\nAnswer: 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1460?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 984*r + 359 - 359 as y + l*r and give l.\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027708 to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g - 5*g + 2*g + 0*g. Let q(f) be the first derivative of 5*f**2\/2 - 3. What is u(q(p))?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4 + 6, 18 = -x + 4*m. Suppose -x*v = -4 - 2. Solve 0 = -v*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 237 - 3*f**2 - 1682*f**3 + 4*f**2 + 1681*f**3 in the form c*f**2 + d*f + l + n*f**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r. Let m(z) = z + 1. Let q be m(1). Let c(u) = 5*u**2 - u**2 - 2*u**q. Determine c(y(v)).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g + 11. Let k(o) = o**2 - 2*o - 20. Let z be k(5). Let u(m) = -4*m - 7 + 0*m - m + 2*m. Calculate z*q(s) - 8*u(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - 2*c**2 + 0*c**2 + (3 - 2 - 2)*(-11 + 11 - 7*c**2) - c**2 + c**2 - c**2 + (4 - c - 4)*(-1 - 2*c + 1) - 18*c**2 - 3*c**2 - 2*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -104, -231, -358, -449, -468, -379, -146?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 10132*t**2 - 3 + 208*t**3 + 0 + 25*t**3 + 10128*t**2 + 3*t**4 to v*t + y*t**2 + x + d*t**3 + i*t**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9256 and 2249?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 32. Let x = -9.9 + c. Let r = -4.96 + -0.04. What is the nearest to x in -1, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 10 + -25 + 12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/((sqrt(4) - sqrt(12)\/(sqrt(12) - sqrt(3))) + sqrt(4)))\/(-6*(sqrt(1440) + sqrt(1440) + (sqrt(1440) - sqrt(1440)*-1))).\nAnswer: -sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = -3*f, -f = k - 3. Solve -5*p + 4 = -4*w, 3*w + p + 3 = k*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504609965.\nAnswer: 3, 5, 11145259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-20))\/(-9) - (-18)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.1348\nAnswer: 0.004044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*p = 7428 - 7305, -k + 5*p = p + 29 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.654 + -9501.6143.\nAnswer: -9500.9603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/1197550?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*g**2 + 34*g**2 + 20*g**2 + 30*g**2 + 66*g**2 + 28*g**2.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.08 + 2. Let n = 460 + -460.42. Let p = r + n. Which is the closest to -1? (a) -30 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.322 - -37.4. Let p = 0.291 - w. What is p rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -5*x**7\/42 + x**6 - 2*x**5 + 5*x + 2. Find u such that s(u) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 55. Let p be -1 - (-2 + y\/(-52)). Let w(n) = n**3 - 3*n**2 + 5*n - 9. Let b be w(2). Sort -0.5, b, -4, p in descending order.\nAnswer: p, -0.5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 21 = -4*u, 2*u + 2*h = 4*u + 10. Let t = 36 + u. Let x = 1.48 - 1.38. Which is the third smallest value? (a) 3 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 0*z + 0*z)*(z - 5*z + 8*z)*(3*z**2 - 2*z**2 + 2*z**2).\nAnswer: -36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) -4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = -13*b + 8*b + 92. Factor 0 + 0*r + 2\/7*r**2 - 11\/7*r**3 + 16\/7*r**b - r**5.\nAnswer: -r**2*(r - 1)**2*(7*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135860322 divided by -67930161.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - (-1)\/(-5). Suppose 4 = -c, x = 4*c + 10 - i. Let q(a) = -a + 4. Let g be q(x). Solve 2*w = -5*j + 11, -3*j - w - 4 + g = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5 - 1397*r**4 - 8409*r**3 - 12631*r**2 + 5600*r + 16836 = 0 for r.\nAnswer: -3, -2, 1, 1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/583 and 976\/477 + 130\/(-65).\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53232 is divided by 10426?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.53 and -0.02?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0001, 0.1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -78. Put b, -5, 0.1 in increasing order.\nAnswer: -5, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823225.\nAnswer: 5, 233, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1014158201?\nAnswer: 1014158202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u - 44. Let v be d(0). Let s = -39 - v. Suppose -19*z + 20*z = s. Which is greater: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54052 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6788, 9, -4 in increasing order.\nAnswer: -6788, -7, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 25 = 44*g. Sort g, -11, -1.\nAnswer: -11, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671070 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 + 243566381806?\nAnswer: 243566382032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 - 554*f**2 - 8760*f = 0.\nAnswer: -15, 0, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:08 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/(-770)*((-1155)\/6)\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 399*r**3 - r + 4*r**2 + 0*r**2 - 404*r**3 + 2*r**4.\nAnswer: r*(r - 1)**2*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 * -175.29\nAnswer: 42.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 19 = -133 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*b - 675 = 105, 1 = -b. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50 + -66 - -47) + 103 - 8\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*c**2 + 0*c + 0 + 2\/9*c**3.\nAnswer: 2*c**2*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212301034 (base 5) in base 16?\nAnswer: -dbc30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(-3 + 11)\/(-1). Solve -2*q = f - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75740 is divided by 400.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 47*l - 2. Let o be i(1). Which is bigger: 47 or o?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -83*b. Let q(k) be the first derivative of -k**2\/2 - 6. What is q(p(x))?\nAnswer: 83*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (5 + 9)) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2724 + -1573. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 4*i + 10*i - 5 + 16*i + 3*i**2. Let p be v(30). Are p and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -20, -2, 2.\nAnswer: -20, -13, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -9 + (14 - 17) - (1 - 13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 739984990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 - 99. Suppose 5*n - 314 = -4*m, -n + 4*m + r = -17. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 93.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**4\/24 - 7*s**3\/6 + 4*s**2. What is the first derivative of m(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249990.\nAnswer: 2, 3, 5, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*p = -0*p - 178, -z + 5*p = -79. Let x = z + 53. Let y = x - 63. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2*t**7\/21 - 2*t**6\/3 - 7*t**5\/5 - t**4 + 17*t + 8. Let r(s) be the first derivative of w(s). Factor r(b).\nAnswer: -4*b**2*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let v = -30 - -29.9. What is the closest to r in v, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 23*o**2 - o**3 - 3 + 24*o - 3 + 4. What is i(24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.327 - 9.027. Let d = -0.3 - -0.3. Let q = d + -1. Put -0.1, q, 0, i in ascending order.\nAnswer: q, -0.1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/63 and 78\/9*(-18)\/532?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h - 8. Suppose 1 = 4*i - 63. Does 8 divide v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616)\/sqrt(99))\/((sqrt(24)*2)\/sqrt(3)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -35*v + 187. Let x(d) = 45*d**2 + 126*d - 10. Is x(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z - 3. Let p be a(4). Let m = -39 - p. What is the common denominator of (10\/(-27))\/(m\/234) and 36\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -2968*i**5\/5 - 2778*i - 2513. What is the first derivative of x(t) wrt t?\nAnswer: -11872*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(18\/(-135))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827823927?\nAnswer: 1827823927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqfififfi. What is prob of picking 1 i and 2 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-12)\/((w*w*w**(-3)*w)\/w) assuming w is positive.\nAnswer: w**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*n**2 + (-4*n + 5*n + 0*n)*(n + 2*n - 2*n) + ((-5 - 2 + 5)*(6 - 3 - 1) + 1 - 1 + 3)*(-2*n**2 + n**2 - n**2) as b*n**2 + m + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 9929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**3 - 1924 + 1925 - 1765*q**2 - 14*q**4 - 27*q**4 - 58*q**4 - 122*q**4 wrt q.\nAnswer: -5304*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11\/430 + -56507\/9890. Let v be (-2)\/(-3)*3 - 7. Is c less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*(-21)\/(-3)*(-94872)\/5628.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 + (-439484)\/8992?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 3*j - 9331 = 0. Let s(m) = -m**2 + 44*m + 176. Calculate the remainder when j is divided by s(46).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 6*l = -9*j - 108, 3*l - 88 = -j. What is the nearest to l in 1\/2, -22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3147\/172 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-774)\/90)\/((-4)\/20)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27841080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 623322 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2.8, 0 in decreasing order.\nAnswer: 0, -2, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 764*c + 28*c**2 + 25*c**2 + 31*c**2 + 1171*c.\nAnswer: 78*c**2 + 407*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1166312 and -41\/19768.\nAnswer: 1166312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p + 84. Suppose 4*c + 39 = 19. Let k be (-4)\/14*c*21\/35. What is the closest to 2 in -2\/7, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 5. Let g(f) be the first derivative of 6*f + 7\/2*f**2 - 112. Determine 5*g(w) + 6*l(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 3153 = -12207. Calculate the greatest common factor of j and 384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34\/9 in -4, 4, 0.039, -1.96, 5\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -814*x. Let h(d) = 1183*d. Determine h(w(o)).\nAnswer: -962962*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-180)*27\/21)\/(138\/21)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -454295 and -454296 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219 + -219. Let z(f) be the third derivative of 5\/24*f**4 + 1\/12*f**5 + 0 + 0*f**3 + v*f + 14*f**2. What is x in z(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13+-7304\nAnswer: -7291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1109\/267, -0.5, 2\/7, 4?\nAnswer: -1109\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.956 + 0.212. Let g = 0.692 + m. Let i = 0.14 + g. Which is the second smallest value? (a) -2 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - h. Let m(t) be the second derivative of h + 1\/9*t**3 + 0*t**4 - 1\/30*t**5 - 4*t + 0*t**2. Suppose m(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -501, -1870, -4105, -7206, -11173, -16006, -21705?\n\"Answer: -433*n**2 - 70*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2. Let w(v) = -2*v**3 + 4*v**2 + 10*v + 4. Let b = 3 + 5. Let u(a) = b*i(a) + w(a). Determine l, given that u(l) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*sqrt(125) - -1*sqrt(5)*-5*5) + -4)**2*-5.\nAnswer: -40320 - 3200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = -0*i - i. Let x = 61 + i. Let n = -40 - x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.076 + -59.024. Let m = z + 59. What is the closest to -2 in -1\/7, 0, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*f*l**3*p + 36*f*l**3 - f*l**2*p + 2*f*l**2 + 28*f + 12*l**3*p - 60*l**3 + 1373*l**2*p - 3*l wrt l.\nAnswer: -126*f*p + 216*f + 72*p - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3\/7 - 78041547*t**2\/7 + 11148792*t = 0. Calculate t.\nAnswer: 0, 1, 26013848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 14*f**2 - 45*f + 7. Give u(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 28\/387 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) -1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-4)*n*n)\/(n*(n*n*n**(-10)\/n*n)\/n*n))\/(n**1*n*n**(-2\/31)) assuming n is positive.\nAnswer: n**(405\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -487640 (base 10) to base 2\nAnswer: -1110111000011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 32 = -5*o + 11*w, -5*w - 11 = -o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3388 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(2*y - 2*y + 3*y) - 4*y - 5 + 5 in the form t*y + z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -64630 divided by -5?\nAnswer: 12926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 7*r**2 + 9*r + 11. Let o be x(-8). Suppose 0 = -4*l + 3*l + 1. What is the greatest common divisor of l and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 7852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.55 + -0.05. Let m = o + 2. Let f = 97\/20 - 21\/4. Sort f, m, -2 in ascending order.\nAnswer: -2, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a microsecond in nanoseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11061*q**3*t**2 + q**3*t - 244*t wrt t.\nAnswer: -22122*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 694 and 0.609.\nAnswer: 422.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/4 and 7\/652.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q - 13*q + 37*q + 123 - 121 - 6*q - 33*q**2.\nAnswer: -33*q**2 + 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - (-6)\/(-2) - -2. Let n = d - 10. Suppose 2*y = -4*b + 96, -n*y = -y + 2. Calculate the remainder when 49 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*y = 5*l - 18, -6 = -4*l + 5*y. Suppose -6 = -l*p - 2*f, 6 - 20 = -p + 2*f. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 534879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, 72, 146?\n\"Answer: 74*o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/(k**(5\/3)\/k))\/(k**1)**(-19) assuming k is positive.\nAnswer: k**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.2. Let x = 9 + -10. Which is the nearest to n? (a) 0.1 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2ba6a2 (base 12) to base 6\nAnswer: -23540322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q\/(q*q**(-3\/8)))\/q)*q**(3\/4)*q*q*(q**0)**(-5) assuming q is positive.\nAnswer: q**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*s + 116, -2*y - 4*s = 2*y + 96. Is -424\/21 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668910 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: Calculate the remainder when 150 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -16082*u + 16081*u - 3 + 4 + 189*u**2 in the form l*u + c + m*u**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -1\/20*h**5 - 5\/12*h**4 + 0 + 5*h - 1\/2*h**2 - 1\/6*h**3. Let q be b(-5). Let u(d) = -d**2 + 4*d - 4. Calculate u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4383764029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 + -92. Let g be ((-8)\/(64\/v))\/(3\/(-64)). What is the highest common factor of g and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22040606*o**2 + 261984566.\nAnswer: -44081212*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + 53. Let s = i - 76. Let n = 4 - 8. Which is the closest to s? (a) n (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1025 and 4445?\nAnswer: 911225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 708712, 708722, 708730, 708736, 708740, 708742?\n\"Answer: -n**2 + 13*n + 708700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*-6 - sqrt(77))*-4)\/((sqrt(99) + sqrt(11))*-6 + -4*(sqrt(22)\/sqrt(2) + sqrt(11))).\nAnswer: -7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 6, -2\/9, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 0*p**2 - p**2 + 0*p**2 - 4*p**2 - p**2 - 3*p**2 - 3*p**2 - p**2 - 2 + 2 + p**2 + (2*p - 6*p + 3*p)*(-p + 3*p - 3*p) + p**2 + 4*p**2 - 3*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.5. Let y = 7.3 - 1.3. Let o = 5 - y. What is the closest to q in 0.1, o, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 1)*-6)**2 - (sqrt(280)\/sqrt(7))\/sqrt(5).\nAnswer: 862*sqrt(2) + 10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 - 3*i + 2. Let z be u(4). Let b = -35 - z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 16. Calculate n(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = -2*l + 3*o, -10 = -5*l - 3*o. Solve 0 = 2*t - x - l, -x = 3*t - 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.06463\nAnswer: 0.19389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4335, 17986, 40699, 72468, 113287?\nAnswer: 163150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/138)\/(-15*2\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -201*x - 12. Let m = -226 - -225. Let f be y(m). What is the highest common divisor of 54 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -8 - (-1 - 1)) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2448339926 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/(1\/49). Suppose 4*m - 57 = -y. Factor -2\/3*s - 1\/3*s**m - 1\/3.\nAnswer: -(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*c**2 - 4202*c - 1372739.\nAnswer: 48*c - 4202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-7) - -9)*-4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Suppose -m + 0*m - 9 = -q*j, -2*j + 15 = 5*m. Suppose -26 - 54 = -j*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(325) + 0 + sqrt(325))*-2 + 3 + 2)*5.\nAnswer: -25 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20*y - 92. Let d be f(5). Suppose -2*w - 4 = -6*w. Let u be (d + -9)\/(w\/4). What is the nearest to 0.1 in -0.3, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 + 172930*b**3 - 2490796756*b**2 - 36569759474*b + 12466668615 = 0. Calculate b.\nAnswer: -15, 1\/3, 28829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7944 is divided by 76?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*q**5 - 47*q + 26*q + 29*q - q**2 wrt q?\nAnswer: -6240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsyy when four letters picked without replacement from szyzzyynzy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 2436 + 2472 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 151404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 less than -3013002671732.8?\nAnswer: -3013002671733.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101423143 (base 6) in base 2?\nAnswer: 110101101110110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056 = 91*f + 85*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5)*-3*-120. Let k(j) = -3318*j - 122754. Let w be k(-37). Calculate the greatest common factor of y and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-46)\/(-12) - (-1540)\/1848)*1393563\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in -1\/3, -0.2, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -78*c**2 + 3*c + 9. Let t be q(-2). Is ((-103)\/t)\/((-2)\/(9*-10)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1536, 1215, 840, 387, -168, -849, -1680?\nAnswer: -2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4\/(h*h**2)*h**(-3)\/h**(2\/5))\/(h**(-2\/7)\/h**(-1\/6))**(-3\/19) assuming h is positive.\nAnswer: h**(-3217\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-8)\/(-9)))\/(714\/2856)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 159*m**2 + 2592*m + 155. Determine h(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1077152 divided by 538576.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -102190, -102205, -102228, -102259, -102298, -102345?\n\"Answer: -4*r**2 - 3*r - 102183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + (-3 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/5)\/u*u**(-1\/8)*(u**(-2\/21)*u)**(-4\/17) assuming u is positive.\nAnswer: u**(-21961\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44870086207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 2*x**2 + x. Suppose 5*o + 25 = 0, 0*o - 5*o - 13 = 2*y. Suppose -m + 5 = 3*d, -y*d - 5*m + 15 = -d. What is z(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33820 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 15*s - 3*s + (-3 - 1 + 2)*(s - 2*s + 2*s) + 2*s - 4*s + s + 2*s + 4 - 4)*(-3*s**2 - 2*s**2 + 3*s**2).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*51.\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*a + 47. Suppose -3 = -6*b + 4*b + i, -5*i = 2*b - a. Solve 4*k - 4 = b*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g - 14*g**2 + g**3 - 21*g**4 + 14*g**2 + 12*g + 1 to the form v*g**3 + p*g**4 + i*g**2 + t + h*g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 8. Suppose -o - 5 = 4*o. Let c be (o + 7)\/3 - 2. Give a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 193*i**6\/120 - 29*i**5\/60 + 4*i**2 - 26*i. What is the third derivative of r(c) wrt c?\nAnswer: 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2, -85, -1 in ascending order.\nAnswer: -85, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 2*n)*(0*n**2 + n**2 + 0*n**2)*(1 - 7 + 1).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 1, h: 6, i: 2, g: 4}. What is prob of sequence jog?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7. Let y be (-5)\/15*(-2)\/(-2). What is the nearest to b in 1\/3, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -460*b - 119138. Give u(-259).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 179*s - 6251. Calculate a(-29).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from qkgggkqqqkqkkg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/16)*f**1*f*(f*f**36)\/(f*f**(2\/3)))**11 assuming f is positive.\nAnswer: f**(20273\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 8:55 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2715 - 2714.7. Put 2\/13, u, 0.4, -835 in descending order.\nAnswer: 0.4, u, 2\/13, -835","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/20 and 139\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382973 is divided by 187.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 - -0.11?\nAnswer: -261.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 178 - 67 - 7*d**2 - 47.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37316.1 * -2.\nAnswer: -74632.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -91332 divided by 6\nAnswer: -15222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**3 - p**2 - 3*p + 2. Let v be y(2). Suppose -4*w + v = w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 8*v - 36. Suppose -4*w - a - 73 = 0, -5*w = -2*a + 27 + 61. What is the hundreds digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5)\/25*1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 50094?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-9 + (-316365)\/42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.0751 + 0.0751. Which is smaller: z or -0.48?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51626.9 + -51627. Let f = 26\/21 + -2096\/1659. Let m = f + 89\/395. Which is the biggest value? (a) m (b) y (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4 + 4\/3*h**3 + 0*h + 5 + 0*h**2. Suppose i(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620382 divided by -88626.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by -3 - (3 - 1)*(-56)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/(-6))\/((-2)\/20). Suppose -26 - k = -9*q. Suppose 95 = 3*a - 5*b, -5*a - 2*b + 183 = 2*b. Calculate the highest common divisor of a and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -1\/2*b**4 - 6*b**2 + 1\/30*b**5 + 0*b + 0 + 5\/3*b**3. Determine u so that f(u) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z + 6, 3*v - 5*z = 86. Find the third derivative of 0*s**4 + 23*s**4 - 66*s**2 + 7*s**4 + v*s**4 wrt s.\nAnswer: 1248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 40 = -11*c. Solve -a - 3 = -c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3 - 572720*r**2 - 16504148100*r - 5931867942000 = 0?\nAnswer: -57090, -364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:35 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 150? (a) 2\/15 (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - 9*m**2 - 3*m**2 - 6*m - 3*m**3 - 4*m**3.\nAnswer: -7*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -738 or -2\/1587?\nAnswer: -738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 332015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24304 - -24603. Calculate the highest common divisor of u and 1679.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/8)*q\/(q*(q\/(q**(-1\/10)*q))\/q))**10\/(q**(-2\/7)\/q**8*q**(-7)\/(q\/(q\/((q**(-1\/4)*q*q)\/q*q*q)))) assuming q is positive.\nAnswer: q**(233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 42*y - 118. Let t be q(-3). Let i(j) = 6*j - 1. Calculate i(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5234 is divided by 1356?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyiiyiy. What is prob of sequence iy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -34*l**3 - l**2 - l + 9. Let o(x) = -x**3 + x**2 - 2. Determine -m(t) - 5*o(t).\nAnswer: 39*t**3 - 4*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 61*o = -71400. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lppnnslslnnspnj. What is prob of sequence pn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29217749\/31 - 942380. Let b = -128 + d. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {a: 1, o: 6, t: 1, g: 5, p: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (12 + 2\/2). Suppose -i = 3*f - 191, 0 = -6*f + 2*f - 4*i + 252. Let s = f + 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 is next in 1917041, 3834084, 5751127, 7668170, 9585213?\nAnswer: 11502256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icacttccat. Give prob of picking 1 t and 2 a.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225559*i - 7 - 13 + 20 - 225556*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(605) + 1 - 3*(sqrt(605) + 2*sqrt(605)))*-2)**2.\nAnswer: 1408*sqrt(5) + 154896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5745, 22927, 51585, 91737, 143401, 206595?\n\"Answer: 3*u**3 + 5720*u**2 + u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -18. Let k = h + 4. Let i = 38 + k. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22850461343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, v: 11, x: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four fifths of a decade?\nAnswer: 1776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1107, -2881 in ascending order.\nAnswer: -2881, -1107, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 28. Let o be h(-7). Solve 21 = 4*v - 3*v - 4*x, o = 5*v - x - 29 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 89 = -3*b, 5*n + 5*b - 30 = 35. What is the smallest common multiple of n and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 86*h - 4466. Let k be z(52). Let u be (-2)\/4 + 10\/4. Calculate the greatest common factor of k and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11100010000001000101 (base 2) to base 6\nAnswer: -31501541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -35 + 4*s + 3*s + 0*s. Let l(r) = 1. Let f(g) = -35*l(g) - t(g). Let i(b) = 10*b - 3*b - 5*b + 2*b - 3*b. Calculate f(i(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -7*y + 253. Let x = -62 + y. Suppose -h + 336 = j, -x*h - j + 2*j = -657. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 27845694?\nAnswer: 27845694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*i - 61*i + 328 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-7)*k)\/(k\/((k*k*k\/k**(1\/5))\/k))*(k\/(k**(-8)\/k*k)*k*k)\/k*k**(-2\/11))**(-37) assuming k is positive.\nAnswer: k**(-11433\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1539 - -1549. Suppose 3*f = -4*m + 154, -2*f = m - 12 - 24. What is the greatest common factor of m and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let v = -5 + 5. Solve v = -0*q + q - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9601 is divided by 109.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 417 = 5*t - 389, -31 = -2*n + 5*t. What is the highest common factor of 52 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 2*i + 1. Let r be n(1). Let z be ((-6)\/r)\/(-2) - -3. Solve z = -v + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:59 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 91. Let q = a + 54. What is the nearest to 0 in -2, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -26, -56, -108, -188?\n\"Answer: -g**3 - 2*g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9145624?\nAnswer: 2, 41, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2. Let h(z) = -4*z + 658. Let w(a) = -3*a + 584. Let m(g) = -6*h(g) + 7*w(g). Determine l(m(x)).\nAnswer: 54*x**2 + 5040*x + 117600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -7. Let i(v) = -v**2 + 8*v + 8. What is the lowest common multiple of i(u) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2836 is divided by 290?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = 3064 - 41653. Is 49 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 97, -2, 188, -3, -5.\nAnswer: -5, -3, -2, 2, 3, 97, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:46 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23552, -23551, -23550, -23549, -23548, -23547?\n\"Answer: l - 23553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 less than or equal to 588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 2*r**3 + 5*r**3)*(3*r**2 - 3*r**2 - 2*r**2) + (120*r - 144*r**5 - 120*r)*(-9 + 3 - 2 + (2 - 5 + 1)*(-3 + 2 + 2)).\nAnswer: 1438*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q - 3. Let g(n) = -6*n + 1. Let z(l) = -7*g(l) - 4*r(l). Let p(b) = 5*b - 11. Let a(j) = -4*p(j) - 9*z(j). Differentiate a(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 31. Suppose -4*v + 304 = -4*h, v = -3*v - 3*h + 290. What is the remainder when v is divided by (-3)\/(35\/s + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3411, 3422, 3439, 3462, 3491, 3526, 3567?\nAnswer: 3614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*14*(-230)\/(-6118)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 541904555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (69\/6)\/(2\/4). Let z = a - 13. Calculate the remainder when 105\/6 - 3\/(-2) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -4. List the prime factors of r\/(-9)*6 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(180) - -3*(sqrt(180) + (sqrt(180) - (sqrt(180) - (1 + sqrt(180)) - sqrt(180)))))**2 + 1.\nAnswer: 480*sqrt(5) + 18017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:17 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:50 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 20 + 9 = 9*d. Let i = 38 + -59. Let v be (-2 - 0) + (2 - i). Solve 5*g = -2*c - 22, -c + d*c - v = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 158, 537, 998, 1403, 1614?\n\"Answer: -23*f**3 + 179*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03394 less than -4.983308?\nAnswer: -4.949368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 1302347?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + r. Let g be n(-1). Suppose 0*x - 2*x + 10 = g. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 883907 + 326236 = -36461. What are the prime factors of r?\nAnswer: 2, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-9))\/((-14)\/(-18)))\/((-13)\/91)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(50\/(-64))*((-198)\/(-55) - 192\/(-30)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51061216, -51061214, -51061210, -51061204, -51061196?\nAnswer: -51061186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346285 (base 9) in base 3?\nAnswer: -2101120022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28.248, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-14)*(d*(d*d**14\/d*d*d)\/d)\/d)**(2\/129) assuming d is positive.\nAnswer: d**(2\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*r + 0 + 2 = 0, 4*t + 2*r = 26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2 + 17 = 3*p, p - 4*o - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41690569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000055786483 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -q - 33*d + 50*d, 0 = -3*d + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1654.1 + 1654. What is the third biggest value in -4, 0.115, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 + -358138?\nAnswer: -358265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -140*t. Let g be n(-1). Let c = -123 + g. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.292 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003601 rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = -4*c + 1, 12 = 2*c - 4*m. Solve d + 0 = 2*z + 3, -c*d + z = 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1433041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19774?\nAnswer: 2, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/33 and -73\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 43. Let i = s + -8. Let h be (7 - 2) + 9 + -9. Sort i, -5, h.\nAnswer: -5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6220967 rounded to 2 decimal places?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30405233857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s - 78 = -36*s. Which is the nearest to 0.1? (a) -0.1 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -254*c + 1. Let u(n) = 17*n**2 - 2. What is u(m(x))?\nAnswer: 1096772*x**2 - 8636*x + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2 (b) -0.06 (c) -0.223 (d) -2 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from fttfffttffffff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12318534*m**5*y - 2*m**4*y**3 - 122*m**2*y**3 + 19*m**2 - 193*y**2 wrt m.\nAnswer: 739112040*m**2*y - 48*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 25390 + 784610. What is a rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2263*v**3 - 750*v**3 - 759*v**3 - 755*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -11.1. Let i = -262282.9000072 + 262283. Let l = j - i. What is l rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 411 + 7*t - 273.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 + 4*w - 3. Let s be b(2). Suppose 0 = 5*d + 5*t - s, 0*d - d - 5*t = -25. Suppose r - 6*r + 40 = d. Solve -2*p + r = -0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (-81)\/(-6))\/((-18)\/140)*(-2 + 5)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:58 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2428*o*w**3 - 3*w**3 - 1196*w**2 wrt o.\nAnswer: -2428*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144528 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*y + 0 + 0)*(-6*y + 4*y + y) + (0 + 2*y + 0)*(-2*y + 6*y - 2*y) + 2 - 2 + y**2)*(-6 + 5 + 4).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 70*s**2 + 117*s - 2822. Is n(35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5058252 days to minutes.\nAnswer: 728.388288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.5902 nanograms to micrograms.\nAnswer: 0.0905902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*b - 351*b**2 - 12*b + 144*b**2 - 456*b**2 as s + k*b**2 + y*b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7907547 and 318?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16736, -33474, -50212, -66950, -83688?\nAnswer: -100426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049846 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 525, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:33 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 1285998530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44616947917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 79*j + 1 - 74*j)*(62 - 35 + 4) in the form w + d*j and give d.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = -3*w. Let c be -2 + 5\/(w\/(-4)). Solve s + c*f - 12 = -0*s, 0 = 3*s - f - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6670350 divided by -444690\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -559?\nAnswer: -559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 2376400896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-13)\/(-156)*7\/((-28)\/6))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370774, -370779, -370786, -370795, -370806?\nAnswer: -370819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x + 74. Let n(g) = -4*g + 30. Let j = 15 + -3. Let f(l) = j*n(l) - 5*q(l). Calculate f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfjq when four letters picked without replacement from {j: 3, q: 6, f: 5, u: 1}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2\/13, 0.2, -4\/453?\nAnswer: -4\/453","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25950 - 25950 + q + 2*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 11. Is 1\/(3\/(h*6)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57139)\/56 - 22\/77. Let m = t + 1025. Calculate the common denominator of 103\/10 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2440 and 24093780.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1. Let n(c) = 3*c + 1. Suppose 2*y + 0*y - 18 = 0. Let t be -2*(y\/6 + -1). Let i(x) = t*n(x) + 4*l(x). Determine i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:08 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160138 + 93200293\/582. What is the common denominator of i and 11\/228?\nAnswer: 22116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3*(-4)\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -418315?\nAnswer: 418317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1247.03957 - -1247. What is z rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51956 is divided by 17242?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6352?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 38 + 23)*(-2 + 2 + i).\nAnswer: -61*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7840, 15728, 23618, 31510?\nAnswer: 39404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44.719 - 31.719. Which is the second biggest value? (a) 1 (b) l (c) 1\/3 (d) -10\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-350))\/((-409)\/6135).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*p + 32*p + 32*p)*(7 - 15 - 11)*(-3 + 0 + 4) to the form m*p + q and give m.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211547036?\nAnswer: 2, 52886759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15944487 divided by 24049.\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 4*y - 3. Let w be l(-5). Let b be w\/(-3) - 17\/(-3). Let k(n) = -2 + 4 + 6 - 3*n - 3. Calculate k(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15924072*r**2 + 26813918.\nAnswer: 31848144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)\/sqrt(3)*6)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-14)*(-5)\/20)\/((-276)\/(-30912))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114668168 rounded to the nearest 100000?\nAnswer: 114700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 7 + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snoonyspososooosss. What is prob of picking 1 y and 1 o?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2806334782 and -666.\nAnswer: 2806334116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/35 + 10\/25. Let q be (-10)\/(-15)*(-14 - 1). Let y(c) = -c**2 - 10*c + 1. Let z be y(q). Calculate the highest common divisor of z and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 1. Suppose -3*i + 558 = z, -3*z + 27 + 338 = 2*i. Let k(h) = -3 + 367*h - 180*h - 6*h**2 - i*h. Give -k(n) - 3*w(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56619 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12419 is divided by 355?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m + 208. What are the prime factors of l(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = x - 5*x + 222, x - 3*y - 62 = 0. Let s = x + -28. Calculate the greatest common divisor of s and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 + -1 - (75\/70 - 2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 15. Suppose 0*u - 4*u + 4*p + 28 = 0, c*p = -u - 1. Suppose 8 = g + 3*g + 4*f, -5*g + u*f = -60. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x + 52*x + 4*x**3 - 24*x.\nAnswer: 4*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 - 132 = 6*t. Let k = t + 66. Which is the nearest to 1? (a) k (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -62, -185, -420, -803, -1370?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3944 - 3836. What is the lowest common multiple of n and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -277914.\nAnswer: -2\/46319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2 - 10\/(-6)). Let z be ((-1)\/2)\/(((-3)\/10)\/3). Let p = 5\/14 + -9\/14. Sort p, z, q in descending order.\nAnswer: z, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-3033*9\/27)\/((-6)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582986 and 14446?\nAnswer: 135835738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-one halves of a meter?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*d + 267*d + 4*d**2 + 256*d + 264*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**8\/84 + 7*f**5\/60 - 9*f**2. Find the third derivative of o(k) wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49418 and -0.1163.\nAnswer: -49418.1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(1\/(-2))\/1. Let u(v) = -10*v + 9*v + 3*v - v + 2. Suppose -5 = -k - o - o, 4*k = 4*o + 20. Let r(x) = -x - 2. Determine c*r(n) + k*u(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906 = 18*z - 978 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 + -12 - -56) + (-6398)\/(-588).\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216699996 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*j + 3511 + 9260 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.1 + 1.1. Let h be ((-16)\/(-8))\/(1 - 6). Let k be 0 + -2*(-2)\/(-14). Which is the nearest to h? (a) -4 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 5*j + 0*j)*(-921 - 524 + 83).\nAnswer: -1362*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) - 2*sqrt(77))))*3)\/(-2*sqrt(1584)).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -960 + 958. Which is the second smallest value? (a) z (b) -1\/3 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011110001001001001000 (base 2) to base 12.\nAnswer: 189aa34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 6. Let f be l(6). Suppose -3*b - 9 = f, 3*r + 12 = -0*r + b. Let q(d) = d**2 + 6*d + 3. Let v be q(r). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84909814601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + -1 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-10))**(28\/9)*(w**(-2\/17))**(1\/25) assuming w is positive.\nAnswer: w**(130882\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -208565*m**4\/2 + m**3\/3 + 5*m**2 - 16*m + 81. Let v be b(6). What is v rounded to the nearest 1000000?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 3*x - 445. Suppose 0 = -5*m - 3*i - x, 5*m + 190 = 7*i - 2*i. Is (-222)\/m - 1\/6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i - 2*l = -45*i + 3, 5*i - 4*l = -8*l + 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 less than or equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5194908640 rounded to the nearest 1000000?\nAnswer: -5195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31048 by 164.\nAnswer: -7762\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(9) - sqrt(81)) + ((-1 + sqrt(7))*3 + sqrt(7) - sqrt(7)))**2 + 5 + -2.\nAnswer: -15*sqrt(7) + 223\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or -765\/8?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -15*a**2\/4 + 477*a\/2 + 26718 = 0.\nAnswer: -292\/5, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 2. Calculate z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1592 divided by 13\nAnswer: -1592\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/9 - 8\/(-6). Let w = -0.2 - -1.23. Let r = -0.03 + w. What is the nearest to y in -2, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3628 - -5642. Suppose t = z + 534. Suppose 5*q = 2*c - 571, -5*c = 2*q + 3*q - z. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 9*p**2 - 10*p - 3. Let s be a(10). Let k be (1 + 6\/(-10))\/(s\/(-15)). Suppose k*w - 531 = -w. What are the prime factors of w?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - a09d8de?\nAnswer: -a09d8dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 + 86*c + 18*c**3 - 26*c**2 - 2*c**4 - 132*c + 78*c**2 - 314*c = 0. Calculate c.\nAnswer: -5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 1 + 1)*(2*l - 6*l + 3*l)*(-28 - 5 - 48).\nAnswer: -162*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) -0.3 (c) 0.2 (d) 11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 60*i**2 + 6*i + 183. Let s be v(-30). Solve -2 = s*m + 2*u, 4*m + u = 6 - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, v: 4}. Give prob of picking 3 t.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxxxxxxqffxfqxf. Give prob of sequence qff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4142 divided by -1?\nAnswer: 4142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:41 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**15*i*i**(-2\/11)*i)\/(i**(-1\/3))**(-1\/38) assuming i is positive.\nAnswer: i**(-12779\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 5 + 6*h - 5.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((48\/(-20))\/(-2))\/(4\/10). Suppose z + 6276 = -4*g, n*g + 4726 = 8*z - 4*z. What is g rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 32*y + 721. Determine r(-20).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 30 = -18. Suppose 3*o + 522 = 6*o + q*m, -o = -4*m - 179. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -339 + 345. Let p be -2 - (-426679)\/(-44) - q\/8. What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37796*m**4 - 2*m**3 + 1887722?\nAnswer: 151184*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.1. Let a = q - 0.5. What is the third smallest value in -0.1, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -59 (b) -1\/6 (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 656563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44041.\nAnswer: 44041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 52254177*x**2. Let b(u) = -u**2. Give b(n(v)).\nAnswer: -2730499013947329*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2\/49 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:43 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2516, -10037, -22564, -40097?\nAnswer: -62636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 9*d**2 - 6*d + 10. Let a be y(-8). Suppose 2*n - 2*c = 2*c - 4, -2*c - 14 = -5*n. Let t(f) = 2*f - f + 2 - n*f + 4*f. Determine t(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o + 13. Let q(p) = 8*p - 6. Let g(i) = 6*a(i) + 13*q(i). Let d(k) = -k. Calculate g(d(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7*((-8)\/2)\/4 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701037920.\nAnswer: 2, 3, 5, 29, 122201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 1. Let f(i) = -16*i**3 + 9*i**2 + i - 3. Give f(k) - 4*s(k).\nAnswer: -4*k**3 + 9*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 1003 + 2213. Let r = d - -67. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 148953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.51 + 17.7. Let i = -0.1899896 + h. What is i rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145957?\nAnswer: 7, 29, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2745165988 and 4?\nAnswer: 4.2745165988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 12645.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5 - 30*z + 28*z - 5. Let w(u) = 0*u**2 + u**2 - 3*u**2. Give v(w(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4149*a**3*r**3 + 2906*a**3*r**2 + 1356*a**2*r**3 - 1370*r**2 wrt r?\nAnswer: -24894*a**3 + 8136*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82360336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**5 - 3144*p**4 + 939888*p**3 - 60867840*p**2 + 1124428800*p = 0.\nAnswer: 0, 40, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9797154 divided by -47559?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Suppose n*t + 4 + 1 = 0, 5*p = -t + 129. Calculate the remainder when p is divided by (9 - (-20)\/(-310)) + (-42)\/(-651).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*o + 166*o - 252*o + 17*o**2 - 476*o**2.\nAnswer: -459*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 5:58 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 831 in 2\/11, 1, -4, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wddf when four letters picked without replacement from {r: 6, w: 1, f: 2, d: 2, m: 5}?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -278.806 and -1.3.\nAnswer: 362.4478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -28 (b) -2\/39 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -10 + (-26 - (21 + -58)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57380 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/51 - (-2716)\/2856. What is the second smallest value in t, 34, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6998*l + 118952. Give y(-17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 23 = -2*x - 6*k, x = -3*k - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 - 2*f**2 + 4*f - 4. Let b = -2 + -3. Let c(s) = -4*s**3 + 3*s**2 - 5*s + 5. Let p(v) = b*w(v) - 4*c(v). Determine i, given that p(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.737, -0.046, 13 in descending order.\nAnswer: 13, -0.046, -10.737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:44 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 - 56*w**2 - 57*w + 700. Determine v(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 2*y + 335, -2*y = 10. Let q = g + -35. Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2029527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3250*v*w**4*x - 3*v*w**4 + v*w**3*x - 3*v*w**2*x + 3*v + 4*w**2*x - 1056*w**2 wrt w.\nAnswer: -78000*v*w*x - 72*v*w + 6*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 7*r + 9. Let k be h(6). Let s = k + 0. Solve 1 = s*j + c, 5*j - c - 4 = -5*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14246, 56803, 127712, 226973, 354586, 510551?\n\"Answer: 14176*f**2 + 29*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35560353.\nAnswer: 3, 11853451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 37 + -12 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 57*y**2 + 1947*y + 1887 = 0 for y.\nAnswer: -17, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*o - 4*t + 178, 3*o - 2*t - 146 = 0. Let z = o + -44. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -3*d**5\/10 - 29*d**4\/24 + 41*d**3\/2 - 2*d**2 - 439*d. What is the derivative of t(j) wrt j?\nAnswer: -36*j - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 21. Let f(h) = 3*h**3 + 30*h**2 + 29*h + 11. Let j be f(-9). Let r be i(j). Let q be (-6)\/22*4\/6. Is r <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 100100?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018142 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68739 - 42400. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, e: 7}. What is prob of picking 4 x?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2387 < -15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 - 2*t - 2. Is k(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.7769 + 0.0809. Let d = i - -16.7. Let s = 2 - d. Round s to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 10:52 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16509029, 16509030, 16509031, 16509032?\nAnswer: 16509033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 21. Suppose -h*t = -t - 85. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 654851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*z + 2, -2 = z - 0*j - j. Which is bigger: -3\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 5\/6*f**3 + 7\/12*f**4 + 0 - 44*f + 5\/2*f**2. Let a(n) = 10*n**2 + 8*n + 8. What is -5*a(y) + 8*c(y)?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/108)\/(2\/4)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**4 + 5*o**2 + 779764*o - 3687253.\nAnswer: 12*o**3 + 10*o + 779764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 79\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 - 1080*i**2 + 186724*i - 185640 = 0. What is i?\nAnswer: -390, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 495911897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13615*p - 13396*p + 438 = 0. Let n(t) = t**2 + 5*t. Let u be n(-5). Suppose 2*b = -6 - u. Sort 4, b, p, 2 in ascending order.\nAnswer: b, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*z + 8784 = 49*z. What is the least common multiple of 3168 and z?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*k - g, -75 = -5*k + 4*g + 2. Solve 3 = 2*y - k for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 - s - 22. Suppose 16 = 2*h + 10. Suppose d + h*q + 17 = 2, -q = 3*d + 5. Calculate w(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 4*r**2 - 76.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2212320 (base 4) to base 12\nAnswer: 6220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113 or -561\/5?\nAnswer: -561\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76 - -52)*(2070\/(-23))\/(-15)?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70888 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 - 30 + 34)*(i**3 + 3*i**3 + 4*i**3) + 3*i**3 - 3*i**3 + 4*i**3 to h*i**2 + o + q*i**3 + j*i and give q.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 52 - (37 + 35 + -80 + 0)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/((1549800\/(-875))\/(-328))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1. Let g(r) = r**2 + 10*r - 4. What is g(y) + 4*j(y)?\nAnswer: y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197972495 is divided by 1752.\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*x = -27, a + 12 = 195*x - 190*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*g - 2*u - 16, 29 = 26*g - 25*g + 8*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 4*d**2 + 6*d + 18*d**2 - 8*d**2. Is 23 a factor of k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h = 33*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmdmmm. What is prob of sequence mm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 = -2*r - c, 0 = -2*r + 3*c + 17. Let u be (r - 5)*135\/(-20). Solve -p = -4*f + 21 - 2, -2*p - 5*f + u = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*w**2 - 809*w**2 + 197*w**2 + 201*w**2 + 201*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 1591*m**2 - 9 - 31 + 96*m**2.\nAnswer: -1495*m**2 + 2*m - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(90\/300).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = 21*o - 74*y - 303 - 143, -75 = -5*o - 4*y for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 146*f + 1035. Calculate n(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 7*q - 2. Let z be d(6). What is the least common multiple of 3 and (-5)\/(z\/(-16)*2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15139.75 and 5285600.\nAnswer: 5270460.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 22*w**2 + 11*w - 276. Let i be r(-23). Solve i = 3*f + 4*y - 9*y + 12, 4*f - y = -16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 301096529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 9*c**2 + 8*c - 12. Give v(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**3 - f**3 + 10*f**3.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, -5, -24, -61, -122, -213?\n\"Answer: -o**3 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-99) + (-1166)\/33*(-3)\/18. Solve -6*g = i*g - 72 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14 - 5*g**3 + 3*g**2 + 9 - 4*g + g**3. Let n be y(-4). List the prime factors of (4\/(-5))\/((-18)\/n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = -21*y + 26*y. Let p = y + 802. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - ((2 - 1) + 4). Let i = 8 + c. List the prime factors of i - -2 - (8 - (-5 + 194)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/9 - 56*j**3\/9 + 196*j**2\/3 - 2744*j\/9 + 4802\/9 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48.07 and 12251?\nAnswer: 588905.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 63*k - 1509. What is m(-48)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*w - 6, -4*w - 1088*h = -1087*h - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8019.149 millennia in months?\nAnswer: 96229788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 44*x**3 + 216*x**2 - 400*x + 256.\nAnswer: 2*(x - 16)*(x - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5328 and 19314.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.80838 + -0.4.\nAnswer: -15.20838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -6\/11 (c) 1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ce3 (base 16) to base 11.\nAnswer: 281a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -809, 5, -8, -1, -2.\nAnswer: -809, -8, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27004763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 9 (c) 2\/11 (d) 1\/8 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1108 + -1076. Calculate the highest common divisor of n and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 811, 5, 7, 4 in descending order.\nAnswer: 811, 7, 5, 4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104 - -71) + 98 + -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-4347)\/(-28))*(-12)\/(-1)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*p**3 - 149*p**5 - 146*p**5 + 170 + 437*p**5 + 10*p**2 - 147*p**5 + 345*p - 180*p**4 = 0. What is p?\nAnswer: -34, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 26. Suppose 104 = o*n - 122. Suppose -n = 22*v - 23*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 + -154. Calculate the greatest common divisor of x and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**4 - 6*v**3 + 22*v**2 + 6. Let n(r) = 2*r**4 + 5*r**3 - 22*r**2 - 5. Let d(j) = 6*n(j) + 5*z(j). Find the third derivative of d(f) wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/22 and 73\/654228.\nAnswer: 7196508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2157*k - 83233 - 56972 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 12*b**2 - 12*b - 6. Let i be c(-11). Find the second derivative of -21*q**5 + i*q + 17*q**5 + q wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392085417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1094, 1072, 6954, 18406, 37282?\nAnswer: 65436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 8*q. Let u(d) = 8*d**2 - 869*d. Let p(s) = -4*s**2 + 474*s. Let x(m) = -11*p(m) - 6*u(m). Calculate x(v(y)).\nAnswer: -16*y**4 - 128*y**3 - 256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -91, -200, -353, -550?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 790663447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjppppp. What is prob of picking 1 p and 2 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*f, 4*f - 3*l + 242 + 258 = 514 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - 0.35. Let o = d - -0.2. Let s = -0.2 - o. What is the nearest to s in 2\/7, -0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -393*x**2 - 10392*x - 61696. What is j(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -95*s - 1547. Let r be i(-18). Which is the smallest value? (a) r (b) 5 (c) 12 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, -0.3, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2494 + 2494.00003959. Round n to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - -2) + 1 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1994*k**2 - 6*k - 3. Let n(u) = 5310023*u**2 - 15976*u - 7988. Determine 3*n(v) - 7988*z(v).\nAnswer: 1997*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893004.2 centuries to decades.\nAnswer: 8930042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + v)*(-277*v - 203*v + 160*v).\nAnswer: -640*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/8 + 103*r**3\/6 + 20*r**2 - 1. Does 41 divide f(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 14*r**3 - 140 + 141 + 0*r - 3*r**4)*(r + 0 + 0).\nAnswer: -3*r**5 - 14*r**4 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19874.6833 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Suppose -6*g - c*j + 8 = -2*g, 5*g - 3 = -2*j. Sort 0, -2, g in increasing order.\nAnswer: -2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*a + 54 = 2 - 236 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 = 3*o, -4*x + 3 = 4*o - 5. Let h(n) = 25*n**2 + 19. What is the hundreds digit of h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011 - -1010000100010?\nAnswer: 1001111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*x**2 + 4\/9 + 8\/9*x = 0. What is x?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.66 + -24.86. Which is the nearest to y? (a) 25 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1701)\/1296*32\/(-224)*2\/(-1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -17214.563527?\nAnswer: 17214.263527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 10) to base 3.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-2 + 4 + (sqrt(19) - (-1 + sqrt(2736))))**2 + -4.\nAnswer: -130*sqrt(19) + 3232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4567 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8 + 371\/424.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -115. Solve 4*t + c = 4*h - t, 0 = -5*h + 2*t + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 312 + -198. Calculate the remainder when x is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.95437ug in milligrams?\nAnswer: 0.02895437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9*(-3)\/(-9) - (-1255)\/315 and -6\/203?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17980 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 z when three letters picked without replacement from {z: 4, y: 1, e: 3, k: 2, w: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 230*a - 2313 + 703 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/11, -14, -12, 30, -1.\nAnswer: -14, -12, -14\/11, -1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/11 - 18888*a**3\/11 + 59553564*a**2\/11 - 62984990824*a\/11 + 931438956210\/11 = 0. What is a?\nAnswer: 15, 3143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q - q**2 - 1 - 1 + 0*q - 5*q. Let j be h(-4). Solve j*d + 0 = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0326311243622 and -34.\nAnswer: -34.0326311243622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16760 - 16449. Calculate the remainder when v is divided by 133.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-402)\/(-16))\/(539 - -91) and 53\/42.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(-5*f + 3*f + f) + 9 - 9 + 4*f)*(-f - f + 4*f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 18*p + 11. Let k be v(8). Let a be 1\/4 + (-129)\/420. Let b = a + 179\/70. Sort 4, k, b in descending order.\nAnswer: 4, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 51*y + 60*y - 214515. Calculate the greatest common factor of 27 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 2*r**4 + 2*r**3 + 4*r**2 - r - 2.\nAnswer: -(r - 1)**2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*v - 13, 0*v + 2*v = -10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 19321 = 2*y, -4*y - 5968 - 13363 = -3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 3*i - 8, -i - c + 7 = 0. Let f be 2*(-2)\/6*-6. Suppose 3*s + 16 = 3*l - 2*s, -i*l + 16 = -f*s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105439.\nAnswer: 97, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 65 - 53 = 0. Calculate the smallest common multiple of 2 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) - (-39)\/(-9). Let c(a) = -5*a**2 + 14*a - 11. Let h(d) = d**2 - d. Suppose -35*s + 48*s + 13 = 0. Let l(o) = n*h(o) + s*c(o). What is l(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529175.\nAnswer: 5, 61, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4476817663 to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5954 is divided by 61?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.11626 - 0.11626. Which is the fifth biggest value? (a) 0.1 (b) 7 (c) 1\/2 (d) k (e) 0.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001001 + 101222?\nAnswer: -122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from ffhacfc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.032, -7, -22\/15, -2\/9.\nAnswer: -7, -22\/15, -2\/9, -0.032, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 20, -5*u - 7 + 37 = -4*h. Suppose 20 = -6*x + u*x. What are the prime factors of 90\/x - (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 84304, 168592, 252856, 337084, 421264, 505384, 589432, 673396?\n\"Answer: -2*i**3 + 84302*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 993*z + 993*z. Let s(v) = 50*v. Determine s(x(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**2 + 23244739*q + 25632163.\nAnswer: -2*q + 23244739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160.9907 + -161. What is g rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i - 3220 = -9946. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4 + 53. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0.3, -6.22, -3, 1\/3, 3 in decreasing order.\nAnswer: 9, 3, 1\/3, 0.3, -3, -6.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 185445899.\nAnswer: 185445899.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4 - 4192*b**3 - 2221598*b**2 - 26170872*b - 58631256 = 0. What is b?\nAnswer: -1042, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-125)\/7 + (-1156)\/(-68). What is the closest to -86 in m, -1\/11, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 2560723 = -589426. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49142229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 9*j**2 + 7*j + 7. Let q(c) = -c**2 + c + 10. Let v be q(0). Suppose 4*r - v = 14. Is l(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - -15.6. Let q = -20 + h. What is the closest to 0 in -0.3, 5\/2, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3762845720?\nAnswer: 2, 5, 31, 43, 70571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2386638*p - 2386638*p - 889*p**2.\nAnswer: -889*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 83648.2 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Suppose -10 = -0*h - c*h. What is the third derivative of 2*q**2 - 4*q**3 - 5*q**h + q**3 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4445*r + 1845*r + 4510*r - 3190*r - 342450 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1. Let v(b) = -8*b**2 + 482*b + 368. Let s be v(61). Let x(h) = 3. Let f(t) = -t**2 - 5. Let w(c) = -3*f(c) - 5*x(c). What is s*p(m) + w(m)?\nAnswer: 3*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -921 + 938. Suppose -5*z + 294 = -641. Calculate the greatest common divisor of z and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 + -0.3?\nAnswer: 1304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 159048*g**2 + 15\/2*g**5 + 0*g - 5649\/2*g**4 + 266772*g**3 = 0.\nAnswer: 0, 3\/5, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(5*f + 0*f - 4*f) - 282*f + 355*f - 188*f - 2*f + 2*f + 2*f + (1 - 4 + 5)*(2*f - 2*f - 2*f) + 2 - 2 - 2*f + 4 - 4 + f - 4*f + 5*f + f.\nAnswer: -114*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19026 and 8756188.\nAnswer: 78805692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + y - 11 = 0, f = -4*y + 2*y + 4. Suppose f*t - 6*t = -80. Factor -4 - 4*q**2 + 6 - 2 - t*q.\nAnswer: -4*q*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 55*a - 113283. List the prime factors of a.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 11001032011010?\nAnswer: 11001032011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531 plus -0.098?\nAnswer: 1530.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x - 2*m + 38, 0 = x - 4*m - 20. Let g = 66 - -30. Calculate the highest common divisor of x and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -14. Which is smaller: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -2\/7 (c) 15 (d) -1\/4 (e) -2.638 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-240)\/24 + (-1 - -15). What is m in -v*m**3 - 2\/3*m + 0 - 2\/3*m**5 + 8\/3*m**4 + 8\/3*m**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243847, -487659, -731471, -975283, -1219095?\nAnswer: -1462907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 1 + 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*z = 743*z - 60 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*q + 4*t = -141*q + 8148, 3*q + 4*t + 4876 = 0. Which is smaller: q or -1629?\nAnswer: -1629","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-2)\/(-6)*471. Suppose 93 = 5*q - n. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/2))\/u)**(-1\/12)\/(u**(-2\/5))**(-4)*(u**(-2)\/(((u**(-2\/3)*u)\/u*u)\/u))\/(u**(-5\/3)*u**(2\/3)*u) assuming u is positive.\nAnswer: u**(-119\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 15*h - 5. Let o be j(8). Let z = o - 130. Solve 3*y + z + 14 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -36*d**5 + 788*d**4 + 27412*d**3 + 214428*d**2 + 518848*d + 55040 = 0.\nAnswer: -8, -5, -1\/9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10940481*t + 5470216*t + 5470278*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsmqn. Give prob of picking 1 q and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - (19 + 3 + -12)) + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 87. Let v(c) = -c + 5*c - t*c + c. Let b(x) = -7*x**2 + x. Calculate b(v(r)).\nAnswer: -7*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/7, 19, 0.25?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -620\/161 - 10\/23. Let a = 4041\/11 - 369. Find the common denominator of a and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 3. Let x be (-1 - -1)\/(2 + -1). Let b be 0\/(x - (-2)\/(-1)). Put b, y, -1 in descending order.\nAnswer: y, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 4. Let o be (-1)\/((-3)\/(-24)*-2). Suppose 0 = 4*d + 3*q - 16, o*q + 3 = 4*d - 13. Calculate the remainder when 45 is divided by n(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 2*o + 3. Let b be x(-2). Differentiate -8*y**4 + 2*y**4 + 4*y**4 - b wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 2:47 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*w**3 - 135*w**3 + 116*w**3 + 157*w**3.\nAnswer: 340*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 5734.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 687*z + 707*z - 1386*z - 40*z**2 + (3 - 3*z - 3)*(-2*z - 3*z + 6*z).\nAnswer: -43*z**2 + 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 23*n**2 - 10*n + 15. Let s be y(12). Let c be (-6)\/s - (-252)\/(-52). Does 10 divide -15*(-5 + c\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.07 (b) -25\/2 (c) 12 (d) 3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 5*b**4\/24 + 2*b**3\/3 - 77*b**2. Give g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1655 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 5*k - 12. Let p be y(-8). Let i(q) be the first derivative of -p*q**2 + 3 + 8*q + 10\/3*q**3. Factor i(t).\nAnswer: 2*(t - 2)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggcggggggcccggggg. Give prob of sequence ccg.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 2*n**2 + 2*n. Let d = 95 - 29. Let u = -63 + d. Determine b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 2. Let o be r(-4). Let d = o - 2. What is the units digit of ((-12)\/15)\/(d\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*n - 9*n. Let c(i) = 8*i**2 + 5*i - 1. Let p(h) = 7*h - 11*h**2 - 31*h + 28*h + 18*h**2 - 1. Calculate n*p(w) - 4*c(w).\nAnswer: 3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 15. Let t be u(-15). Find the second derivative of -7*o**2 + 8*o + t*o + o**2 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 12:26 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 39654*i - 131036643.\nAnswer: -3*(i + 6609)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 15*t**4 - 1030*t**3 + 680*t**2 = 0.\nAnswer: 0, 2\/3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6532370 to the power of 1\/2, to the nearest integer?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a - 16 - 2*a**3 - a**2 + 21*a - 7 - 5 as q*a + v*a**3 + o*a**2 + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100066 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**5\/10 + 61*z**4 - 14884*z**3 + 1815848*z**2 - 5589*z. Factor w(c).\nAnswer: -2*(c - 122)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/((-135)\/243).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -3) + 12 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*x = -41, 4*x - 48 + 11 = -5*p. Let r be 6\/p + 12\/9. Find the second derivative of -6*y + 0*y**5 - y + r*y**5 - 4*y**5 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -143, -613, -1409, -2531, -3979, -5753, -7853?\n\"Answer: -163*k**2 + 19*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/18 + 5\/(-2) + 64. Let x = j - 65. Is (22056\/28)\/6 + x\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455193 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o + 50*o**3 + 4 + 50*o**3 + 17*o**2 - 102*o**3 - 14*o**2 as k*o**3 + c*o**2 + h*o + f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -m + 68, h - 2*m - 22 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145530631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448.5 - 13.5?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7104402\/49 or -144989?\nAnswer: -7104402\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 11. Let c(n) = -n**2 + 441*n. Determine c(x(a)).\nAnswer: -4*a**2 - 926*a - 4972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 7*u + 225. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 13*c**2 + 5*c + 3. What is the remainder when h(12) is divided by 74?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - -2*((sqrt(156)*-2 - sqrt(156)) + sqrt(156))) + sqrt(156))\/(sqrt(432)*2 + sqrt(432)) - (4 + (-3*sqrt(468) + 2)**2).\nAnswer: -4220 + 1295*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4504*f - 1342716 = 4492*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 116082125398.2 and -0.16?\nAnswer: 116082125398.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 + 295*k\/4 - 591\/8.\nAnswer: (k - 1)*(k + 591)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -119*m**2 + 9*m + 5. Let f(x) = 2*x**2 + 1. Let l(a) = -5*f(a) + k(a). What is the second derivative of l(s) wrt s?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1216097267\nAnswer: 1216097270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and -0.828706.\nAnswer: 77.069658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2 - 1 + 0)*(1 + 7 - 1).\nAnswer: -28*u + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2181 + -2190. Put x, 0.3, -0.2, -5 in increasing order.\nAnswer: x, -5, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - u + 2*u - 1 + 1 + u - 4*u + 2*u + (-4*u + 3*u + 3*u)*(0 + 2 - 1))*(747 - 9*u**2 - 747).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -8, -2, 1, 4 in descending order.\nAnswer: 4, 1, -0.5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 86*y**3 + 11*y**2 - 11*y + 389. Let t(h) = -29*h**3 - 4*h**2 + 4*h - 130. Let f(x) = 4*d(x) + 11*t(x). Find the first derivative of f(p) wrt p.\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 800\/3869?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or -17063210?\nAnswer: -17063210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 10 = 2*g. Suppose 3*w - 39 = -4*b, -6 + 33 = g*b + 3*w. Suppose 6*t - 3*t = b. Solve -t = -0*y - 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15307932*q*r**3 - 2*q*r**2 - 29552*q*r - 6*r wrt r?\nAnswer: 91847592*q*r - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 5111?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1303 - -3200130?\nAnswer: 3202033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40578 - 22247. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/57*113*(-159)\/(-53901)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 74*m = 1706, 166*v - 47 = 167*v - 4*m + 49 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-2\/9))*t)**(-7\/5)\/(t*t\/t**9)**(8\/11))**(-2\/3) assuming t is positive.\nAnswer: t**(-3962\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 26 + 546 = -14*q, 2*y - 88*q + 167*q = 80*q + 37 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Suppose -o + v*o = 12. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 + 0*m**2 + 5*m**2)*(m + 2*m - 4*m) + 17*m**2 + 18*m**2 + m**3 - 28*m**2.\nAnswer: 2*m**3 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + 0.03. Let r = -0.8 - 0.2. Suppose -u + 2 + 1 = 0. Which is the nearest to r? (a) -3 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, b: 4, u: 6, f: 5}. Give prob of sequence dudu.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*l + 22, -5*g = -450*l + 446*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14298, -28610, -42926, -57246, -71570, -85898, -100230?\nAnswer: -114566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 62?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + 1)*134 - -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.5. Let g = -1.1 + y. Let j = 0.13 - -0.87. What is the closest to j in -0.3, g, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 16*t**2 - 16*t + 16. Let b be y(15). Solve -4*z = -4*l + 8, -l + 2*z + b = 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 86*z**2\/3 + 244*z - 1008.\nAnswer: 2*(z - 3)*(z + 18)*(z + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -35*p**4\/4 + 955*p**3\/3 - 590*p**2 + 260*p + 4324. Factor w(b).\nAnswer: -5*(b - 26)*(b - 1)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12.5. Let u = 4 - k. Which is the nearest to -1? (a) -0.1 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = h. Let q(k) = 17 - k**2 - 2*k**2 - 13. Let z(n) = -4*n**2 + 5. Calculate h*q(r) - 2*z(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93634 - -93639. Let t be 12 + (4 - 1)\/(-3). Solve 39 = t*p - c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:07 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4746, 74, 5, -4 in ascending order.\nAnswer: -4746, -4, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*j - 1 + (0 + 7 - 3)*(-4 - 4*j + 4).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29835 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31715, 62042, 92369?\n\"Answer: 30327*m + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -9, -2, -3.\nAnswer: -9, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*s + 2*s, 4*s + 9 = 5*j. Let v be 0\/j + 8\/7. Let p = 16712 + -50138\/3. Which is the nearest to v? (a) p (b) 3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2 + 26*x + 63. Let u be a(-19). Suppose 5*p = 2*v - 692, 7*p = 4*v + 2*p - u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1781260 and 11594.\nAnswer: 19593860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 71 - 21 = 0. Let a be (-765)\/6*(-2)\/(-40)*i. Let c = -305 + a. Find the common denominator of 87\/4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2891, 5759, 8605, 11417, 14183?\n\"Answer: -2*x**3 + x**2 + 2879*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10665 is divided by 253?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-24))\/(2\/3). Let j be ((-2)\/3)\/(o\/(-9)). What is the smallest common multiple of 4 and (j - (-28)\/(-8))*-24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/91951 or 0?\nAnswer: 3\/91951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**3 - 77*k**2 + 49*k + 16. Let o be h(-16). Solve 3*t + 4*d + 3 = 0, -3*t - 3*d - 83 + 77 = o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 2*i**2 - 2*i**2 - 4*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-182)\/42)\/(42\/18 - (1 - -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348292235?\nAnswer: 5, 69658447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwxw when four letters picked without replacement from wwdwxxwwxwwwxxwwwx.\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.94 times -0.2\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:00 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 10122?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 297 = 5. List the prime factors of v.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((77367\/(-592))\/123)\/(-17)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -795*f + 5. What is p(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**3*v - 69*i**3 + i - 74*v wrt v.\nAnswer: 3*i**3 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 2:18 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -23, -52, -101, -176, -283?\n\"Answer: -h**3 - h**2 - 5*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.04 (b) 1 (c) -147421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 593513771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**3\/6 + a**2\/2 - 7*a + 3. Let y(h) be the first derivative of x(h). Let p(g) = 2*g**2 - 4*g + 2. What is p(m) - 3*y(m)?\nAnswer: 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.4, -1\/7, 0.11, 30?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1214, 1191, 1168?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -c095a6?\nAnswer: -c095a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 9*y - 9*y)*(-6*y + 3 - 3 + y - 3*y + 11*y + (-2*y + 1 - 1)*(2 - 1 - 2)).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 13) to base 10\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2 + sqrt(76) + sqrt(76) + -4*(1 + sqrt(76)) - 6*(1 + (sqrt(76) + 2 - sqrt(76)) + sqrt(76) + -1))*-4)**2.\nAnswer: 11776*sqrt(19) + 86288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2.48506.\nAnswer: 0.994024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 4749.8?\nAnswer: -4749.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**4 - 1\/20*b**5 - 9*b - 3\/2*b**2 + 0 + 0*b**3 - 3\/10*b**6. Differentiate j(k) wrt k.\nAnswer: -36*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**2\/7 - 1270*q\/7 + 1800 = 0.\nAnswer: 10, 1260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/(-238) + (-1790)\/(-960) and ((-7)\/(-162))\/(4\/(-78)).\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(5 + -8)\/(-9) + 5. Suppose 3*s - 24 = 3*n, -5*s - n + 9 = -7. Solve s*t = 14 - i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3 + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17. Let w = -42 - -42. Let b be 4 + -3 + w + 3. Solve k*l + b - 2 = v, 5 = 5*l - 5*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21181 - -21185. Solve -5*y + 3*n - 4 = 0, 23*n = 21*n - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y**2 + 64*y - 1. Calculate w(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 2, l: 5}. What is prob of sequence mm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u - 194 + 194.\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -0*u. Let n be (-3 + 5)\/(u\/3). Suppose -n*j + 8*s - 4*s = -86, 0 = s + 2. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -505479?\nAnswer: 5\/505479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4639.14694727 and -0.4.\nAnswer: -4639.54694727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + (0 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose -f*j = -m + 2, -2*m - 5*j = -j - 14. Let l(b) = b**2 - b + 3. What is the least common multiple of m and l(3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 11637192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 2*a + 3. Let h be m(-1). Let x be 10*-1*(-4)\/(-10). Sort 3, h, 15, x in descending order.\nAnswer: 15, 3, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + j - 1. Let q = 5 - 3. Let v be (-4 - -1)*-2 - 0. Let c(a) = -a**2. Determine q*o(u) + v*c(u).\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12038275 - 93810918 = -294*c + 44752013. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2516356 and 5344.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46240 + -413?\nAnswer: 45524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10591 + 2*b**3 - 10591.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 0.1943986209884?\nAnswer: 1.1943986209884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*t**2 + 73 + 144*t**2 - 29*t + 32*t as v*t + z + y*t**2 and give z.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 582751349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2*j + 0 + (4 - 3 + 0)*(-2 + 2 + 10*j))*(1 - 9 + 1).\nAnswer: -84*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 12*n**2 + 11*n - 18. Let u = -15 - -30. What is the remainder when u is divided by w(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -750 (base 8) to base 2\nAnswer: -111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16541200 (base 9) in base 2?\nAnswer: -11111101000111001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 - 4 = 0. Let k = 2 + h. Calculate the remainder when k is divided by -3*2\/6*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) - (-8)\/45. Which is the closest to g? (a) 2 (b) -3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 6*c - 3*c. Let y = -53 - -59. What is the remainder when c is divided by (28\/y)\/((-28)\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 268396*z - 6709905. What is o(25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 10\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -0.15?\nAnswer: 1.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.04624 (c) -5 (d) 3\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - u - u)*(6*u + 58*u + 0*u)*(3*u - 2*u - 2*u)*((1 - 1 + 4)*(-3 + 3 + 2) - 2 + 2 + 2) to the form y*u**2 + j*u**3 + h*u + t and give j.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002771284 to six decimal places.\nAnswer: 0.002771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-585 + 165*c**3 - 452*c**3 + 592)*(-1 + c**2 + 1).\nAnswer: -287*c**5 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1452*p - 2867. Determine t(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 65 - 55 = 0. Let p = -24 - q. Put 1, 5, -2, p in decreasing order.\nAnswer: 5, 1, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**5\/20 + 11*n**4\/12 - 2*n**3 + 2*n - 19. Factor c(d).\nAnswer: d*(d - 1)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5324 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4281 + -4280.996189. Round p to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/14 and (-47)\/(-22) + 1 - -1.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b6795 (base 15) to base 3\nAnswer: 1002102000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v**3 + 2*v**2 - 15*v - 110. Let q(k) = 7*k**3 + k**2 - 7*k - 50. Let l(n) = -5*a(n) + 11*q(n). Determine l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from httqqtttqhqhqmmtqqu.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from dvtdvvvdvdvavvv?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061056 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -78*j - 1. Let t be p(-1). Let a be 258\/(-10) + (-52)\/(-65). Let x = a - -32. Calculate the greatest common divisor of t and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t + 2130 - 2322. Solve 5*a + 4*b - 8 = 0, t = -2*b - 2*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -929, 36, 2, -3 in increasing order.\nAnswer: -929, -3, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65 - 67 + 46*l + 122 wrt l?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*b**3*q - 693*b**3 + 10568*b*q + 2*b + 2*q + 3 wrt b.\nAnswer: -414*b*q - 4158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/(-14) + 3 + (-2272)\/112. Let q be (35\/x)\/(2\/(-40)). Solve 0 = 4*f + 3*f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4812 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 14*d + 3. Let j be w(14). Suppose -j*c + 2 = 5. Which is smaller: -0.15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76399 is divided by 2227.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from pnnpwwwwnnnw?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8855331, 8855341, 8855357, 8855379?\nAnswer: 8855407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12. Let b be 6 + (-3)\/(y + 3). Suppose b*u - 10 - 10 = 0. Solve u*r + 4 = -4, 0 = -q - 5*r - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:09 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 2*w**2 - 3*w + 4. Let v be k(3). Suppose v*x - 46 = 54. Let s = 41 - 28. Calculate the remainder when x is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 74.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnrhrnhrrrr. What is prob of picking 2 n and 1 r?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 26*w**2 - 10*w - 36. Let m(r) = 5*r**2 - 2*r - 7. Suppose -10*j = -113*j - 309. Determine j*i(d) + 16*m(d).\nAnswer: 2*d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:04 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-6))\/(45*(-2)\/12)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-162)\/(-21) + (0 - 10\/(-35)). Let u(c) = 2 - n + 6*c - 8*c. Give u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:20 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2448) + sqrt(2448)*1 - sqrt(272)*-1 - ((5*((sqrt(187) - 4*sqrt(187)) + sqrt(187)))\/sqrt(11))**2) + 5.\nAnswer: -3395 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17231785.83s to weeks.\nAnswer: 28.491709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/21 - 2*i**2\/7 + 68*i\/21 - 32\/7.\nAnswer: -2*(i - 3)*(i - 2)*(i + 8)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**3 - 14*n**3 + 24*n**3 + 6*n**3.\nAnswer: 34*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q + 154. Let a(y) = -y. What is n(a(z))?\nAnswer: -12*z + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 + (-144)\/81. Let r = 2 - q. Calculate the remainder when 13 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-9))\/(2\/(-36)). Let q be 9 - j - (1 - 1 - 0). Solve -g - q = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4023, 42\/13, 163?\nAnswer: -4023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(2\/(-4) + -1). Suppose 5 = c*l - 9. Let h(z) = l + z + z - z. Give h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -4, 73, 1, 2, -3.\nAnswer: -4, -3, 1, 2, 3, 18, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239672628.\nAnswer: 2, 3, 13, 170707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1227, 3, -97, -2\/17 in decreasing order.\nAnswer: 3, -2\/17, -97, -1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -57997 from -1.\nAnswer: 57996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8953 + -8?\nAnswer: -8961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(1\/10). Let y = 30 - 28. Solve 0 = 4*v - y*d - 4, -f*d + 12 = -0*v + v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7087555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -35*k + 161. Let y be b(5). Is 8 a factor of 37*3\/((-6)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-1*1.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 59*m. Let i(w) = 4*w**2. Give t(i(r)).\nAnswer: -16*r**4 + 236*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53202, 106359, 159476, 212553?\n\"Answer: -20*d**2 + 53217*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkmk when four letters picked without replacement from kkkkkkkkkkkmkmmk.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*l - 29, -3*l = -2*z + 6*z + 35. Does 27 divide (z\/(-12))\/((-2)\/(-1692))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252732650 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 26*j**2 + 2*j - 5*j.\nAnswer: 26*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 + -0.5. Let c = 2 + f. Let s = 1.5 - 2. What is the nearest to c in 0, s, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 9*j + 8. Suppose -z = 4*z - 60. Let x be 46\/6 + z\/36. Let y be o(x). Solve -b + 2 - 6 = y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2215958 divided by 7.\nAnswer: 2215958\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/6077, -731, 5 in decreasing order.\nAnswer: 5, 2\/6077, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.347 + 0.34700287. Round j to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-9))\/(4\/(-6)). Let i = 3 - l. Suppose n = 3*z - 8, 3*z - 14 = -i*n + 8*n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7241 + 7241 + 143*c in the form t*c + v and give t.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:14 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 84. Let t be b(18). Suppose t = -41*i + 48*i. Solve 70*m - 73*m + i = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-2 - -1)*-6. Suppose 3*r = w*r. What is the remainder when 34 is divided by (-2)\/(-1) - -10 - r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**2*y**2 + q**2*y - 8*q**2 + 3*q*y - 427605*y**4 + 4144*y - 2 wrt y?\nAnswer: -8*q**2 - 5131260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 7 (c) 1 (d) 0.27 (e) -1\/132\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 308728982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6797160 and 178425450.\nAnswer: 713701800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -2 - (72 + -8 - 92).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -112466 smaller than -25\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28248193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 129.119603?\nAnswer: -51.6478412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d - 15*d - 3*d**3 + 27*d**2 - 30. Let f(i) = -i**2 + 1. Suppose 2 = l - 3*c - 5, -l = 2*c + 3. Let m(w) = l*x(w) + 18*f(w). Solve m(v) = 0 for v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**2 + 372430*l - 124145.\nAnswer: 5*(l + 24829)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320\/3 + -5123\/48. Find the common denominator of -85\/104 and b.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1401 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4 - 93\/(-156))\/1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7) - 930\/1953.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 + 95?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225 + 225. What is the closest to 0 in q, -0.4, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nneennnnlenenneeennn. What is prob of sequence enee?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 52*x**2 - x + 1. Let z be o(1). Let r = 113 - z. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 450600381 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 16. Solve 2 = -3*g - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 12*t**2 + 2*t - 3*t + t**3 - 3*t**2 to u + l*t**3 + a*t + h*t**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 - 10*a + 3. Let j be m(-8). Let x = j - 330. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/((m\/(m\/(m**8*m)))\/m)))**15*(m\/(m*m\/(m\/((m*m**(-12))\/m))*m))**(3\/25) assuming m is positive.\nAnswer: m**(3408\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Suppose -4*k + 4*f = -114 - 186, -2*k + f + 147 = 0. What is the least common multiple of c and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/541590 and -61\/3780.\nAnswer: 9748620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from uwmumuumumumwmu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4683, -4682, -4681, -4680?\n\"Answer: i - 4684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.86 rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -286.054 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354541500 rounded to the nearest 1000000?\nAnswer: -1355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -48 (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 801185 and 9.\nAnswer: 801194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 4*d - 19, -q - 144*d + 35 = -149*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, 12, 23, 46, 87?\n\"Answer: o**3 - 3*o**2 + 7*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 91045410 to the nearest 1000000.\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.077 + -2.21. Let w = -0.0382 + 0.1282. Let a = w + d. What is a rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179489.\nAnswer: 239, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-7)\/p)\/p)\/(p\/((p**(-3\/10)\/p)\/p)))\/(p\/(p*p**0))**(6\/17))**(-5\/6) assuming p is positive.\nAnswer: p**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 0*2\/6. Let k be (d\/(-10) + -1)*-75. Which is smaller: 44 or k?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 848 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 61819308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -2*k. Let t = -3 - -5. Suppose -35 = -5*i - d - 2, -k = -t*i - 4*d. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 13) in base 4?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34a5 - -1?\nAnswer: -34a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 28, 1\/8, -6\/7 in increasing order.\nAnswer: -6\/7, -0.2, 1\/8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*k + 10, 4*a = -5*k - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201816649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/723 and -97\/12.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 198 (b) -0.1 (c) -0.0193396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123537793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/21 + 11)\/(93\/(-30) - -3).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from ddddddddddddidd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {v: 3, m: 2, c: 4, a: 3, k: 1, g: 4}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4\/7 + 3*b**3 - 762*b**2\/7 + 360*b = 0. Calculate b.\nAnswer: -21, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1004 (b) -3\/11 (c) -17\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/1848116 and 8\/205.\nAnswer: 9240580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -336, -472, -700, -1020, -1432, -1936?\n\"Answer: -46*x**2 + 2*x - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.645.\nAnswer: -0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73 and 1?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*b + 84 - 744. Let d(h) = h**2 - 2*h + 81. Let r be d(b). What is the greatest common divisor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*w - 25*w - 987. Which is bigger: -7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 6*a + 2. Suppose 24 - 120 = 4*p. Let w = p + 28. Determine y(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u = -41*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240638\/3815 + -36\/545. Let y = z + 63. What is the third biggest value in -3, 0.2, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3251 and 0.1?\nAnswer: 0.03251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26894 = -21*a + 4655. Let u = a - -1061. Suppose 110 = 6*d - d. Solve u = 5*r + d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = -34.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -34.102. Let x = -0.042 - u. Sort x, 3, 3\/7 in increasing order.\nAnswer: x, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-8))\/((-2)\/12). Let i be 8\/6 + (-14)\/21. Let y = -3.4 - -0.4. Which is the closest to -1? (a) y (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {y: 1, m: 2, u: 1, p: 2, n: 1, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 + 20?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d + 1. Let w be 0\/1*4\/(-8). Let u be c(w). Let x = 2 + u. Solve -x = 3*i - 3*p, 4*i - p + 2 = 4*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26111, -25982, -25853, -25724?\nAnswer: -25595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqqqqqqqqpq. What is prob of sequence qq?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 195 = 141. Suppose -q*t = -21*t - 36. Calculate the smallest common multiple of 74 and t.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*c = 1, -3*d - 4*c + 19 = 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12792713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58629705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(2299) - (1 + sqrt(19) + -2)) + 1 + 0)**2.\nAnswer: -84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 2. Suppose -19*n = -23*n + 24. Calculate the smallest common multiple of n and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyohk. What is prob of sequence yk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63393203*w**4 + 2*w**3 - 43*w**2 + 31352*w?\nAnswer: 1521436872*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 213*w**2 - 435*w + 219.\nAnswer: 3*(w - 1)**2*(w + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -17.4.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.26 or 2\/9?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.5 - -5. Let o = 0.4 + b. Let j = o - -0.099968. What is j rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2838 divided by -3.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/3150 and -91\/450.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 916\/20 + 2\/10. Let i = -27 + h. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 330957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 16 + 124. What is the remainder when 17 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**2 - 25*k + 33*k + 25*k)*(8 + 9 - 4) to n*k + u*k**2 + d and give u.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 - -10?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 116*c**2 + 372*c + 3729. Determine l(-113).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:57 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -434 at most as big as -439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57*16988.\nAnswer: -968316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Suppose 4*x - 4 = 2*x. Let r(s) = 2 - 5 + 3 + s**x. Determine r(d(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 780913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -11*t**2\/2 + 9*t + 287. Let o(m) = -m + 1. Give 6*o(p) - v(p).\nAnswer: 5*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(1*2))\/((-4)\/88*-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = l - 62, -2*j - 2*l - 2 = -7*l. Sort j, 3, -3, 4 in decreasing order.\nAnswer: j, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27786626183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2078774 = -4*m + 1723667, 5*m + g = 4753054. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98624 - 35879 = 47*w. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -62e4f7 (base 16) in base 3?\nAnswer: -110012021110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1840 (b) -14 (c) -0.4 (d) 4 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*h = 10, 2*h + 2*h - 18 = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 177332, 177321, 177308, 177293, 177276?\n\"Answer: -o**2 - 8*o + 177341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/353253 or 1?\nAnswer: 4\/353253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Suppose -24 = -p*o - 6. Suppose 0*h = h - o. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) - (-4*sqrt(98) + 5)) - sqrt(98)*-2*-1 - 6*(1 + sqrt(98) + 1*sqrt(98) - (sqrt(98) + -2 + -5)))**2.\nAnswer: 7224*sqrt(2) + 15961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f + 2*i + 14 = 44*f, -2*f + 22*i + 144 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/23334 and 103\/30.\nAnswer: 116670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417 + -418. Which is the second smallest value? (a) 2 (b) 1 (c) q (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + (sqrt(700) + 4 + (2 + sqrt(700) - sqrt(700)) + sqrt(700) + 1 + -1*sqrt(700))**2)*-2.\nAnswer: -1493 - 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5.54 (b) 4 (c) -129 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 151900 - 78130. What are the prime factors of q?\nAnswer: 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d + 2*d - 5 + 4*d + 3 + 0*d. Suppose 4 = -b - 3*z, 5*b - 22*z + 21*z - 44 = 0. Determine x(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56906448 and 96.\nAnswer: 113812896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 263601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 408545077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -2, 49, -9 in ascending order.\nAnswer: -32, -9, -2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*((sqrt(1539) + sqrt(1539)*-2)*1 + -5 + 3*(sqrt(1539) - sqrt(1539)*3)*-2))**2 + -1.\nAnswer: -41580*sqrt(19) + 6705108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 - 33*w**2 + 33*w + 681. Calculate m(6).\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - -2 - 7 - -15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(84)\/sqrt(162))\/(1*sqrt(6)*-4 + sqrt(6)))**2.\nAnswer: 2194\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v. Let j be y(-5). Suppose 0 = 4*o - m + 84, 4*o = 19*m - 23*m - 64. Does 18 divide (-8)\/o + -2*3939\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 659925 and 23464.\nAnswer: 5279400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3271272 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3699247, -3699246, -3699245, -3699244, -3699243?\nAnswer: -3699242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -554 - -10040?\nAnswer: 6153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 267292 and 0.2.\nAnswer: 53458.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112859161*c**2 - 154691528*c.\nAnswer: -225718322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/6 + 4888*y**2\/3 + 272552*y\/3 + 1270080 = 0 for y.\nAnswer: -9720, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 86. Let a(y) = y**2 - 11. Let b be a(4). Suppose -4 = -3*n + 4*r, -54 = -3*n - b*r - 5. Calculate the smallest common multiple of m and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203767*h = 1203812*h + 405 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 3*o**2 - 14*o - 16. Let a be l(-5). Let j be 4850\/500 - (-3)\/10. Calculate the greatest common factor of j and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) + sqrt(136)*1))))) + sqrt(136))*-4)\/sqrt(8).\nAnswer: -12*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 766\/140 - 2\/5 and ((-15)\/25)\/(22\/(-145)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*w - 433, 2*w + q = 5*w + 418. Let m be (2\/(-3))\/(4\/1542). Let o = w - m. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31043 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1 - 0\/2. Let p be -4*j\/3*3. Suppose -2*c + c + 18 = -4*w, -c + w + 6 = 0. Solve -16 = c*g - 2*s + 5*s, -18 = g + p*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 2*j**2 + 2*j)*(-j + 7*j + 2*j) + j**2 - j**2 - 2*j**3 to the form a*j**3 + u + h*j + c*j**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1648*i - 1531*i + 2163 + 762 = 0 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26372873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -23.\nAnswer: 34\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10 - 2*s**2 + 8*s - s + s**2. Determine b(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1. Let p(b) = -3*b - 22 + 15 + 5. Let y(d) = -5*o(d) - p(d). Find the first derivative of y(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(91))\/sqrt(7) - (-4 + ((sqrt(208) + -1 - sqrt(208)) + sqrt(208) + sqrt(208) - sqrt(208)))**2.\nAnswer: -233 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598187.\nAnswer: 598187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, k: 1, f: 1, m: 4}. Give prob of picking 1 k and 2 e.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -130*o - 504. What is d(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18889 - -18889. Which is bigger: -2\/9395 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r**2 + 250*r + 786. Give x(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:29 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -350?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12930 rounded to the nearest 100?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -1 (c) 1.9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100769 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 77*b - 1472. Let s be y(42). Sort 1, s, -25 in descending order.\nAnswer: 1, s, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1807, -652 in descending order.\nAnswer: 1807, -3, -4, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100232883?\nAnswer: 3, 412481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -41. Let u be -2*(-2)\/4*m. Suppose -5*q - 158 = -3*x, 5*x - 189 = -q + u. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 21 + 161\/3*q**3 + 1\/2*q**2 - q. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.5 times 0.16\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.3. Let i = -0.24 + 0.06. Let h = i + 5.18. Sort 4, h, v.\nAnswer: v, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 16\/4 + 20 - (-235)\/((-23735)\/2424).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -2, -12, -48, -122, -246?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = 36. Suppose -5*l = -1 - 14. Suppose l*k = -0 + 21. Calculate the remainder when t is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a year in months?\nAnswer: 308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -13 - (3 - 6) - -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 1362739?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10784 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2953 < 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -289407 at least as big as -289408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 420316703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 570024 a multiple of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085 = 5*t + 3*p + 1007, -3*p + 42 = t. Let y = -1 + 4. Suppose -y*w = -93 + 12. Calculate the greatest common divisor of w and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**8\/28 - j**7\/42 + 35*j**4\/12 - 97*j. Find the third derivative of b(o) wrt o.\nAnswer: -240*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*i = 149092 - 8009105. What are the prime factors of i?\nAnswer: 26113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064587?\nAnswer: 1064587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/34)\/((k**(-14)\/k)\/k) assuming k is positive.\nAnswer: k**(543\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-5))\/i)\/i)\/i**(-1\/4)*(i*i\/(i*(i\/((i*(i**(-2\/5)\/i*i)\/i)\/i))\/i)*i)**(-27))**(-2\/11) assuming i is positive.\nAnswer: i**(439\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0418 or 39\/20?\nAnswer: 0.0418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/11)*g**(-3\/2)*(g**(2\/7)\/g)\/((g\/g**0)\/g*g))**(-1\/52) assuming g is positive.\nAnswer: g**(509\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 (base 7) in base 2?\nAnswer: 1011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.103 - 69. Let p = 0.10299959 - n. Round p to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 362 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53718 - 0?\nAnswer: 53718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and ((11 - 8) + -2)*3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = k, f + 2*f + 7 = 2*k. Solve 0 = 2*b + 5*w - 4 + f, 3*b - w = 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (10 + -28 - -7) - -24.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4042, 4053, 4070, 4093, 4122?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1112 and 26549.\nAnswer: 212392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*k - 23, 2*w + 2*k = -k - 24. Let i be (48\/((-36)\/(-9)))\/(w\/(-2)). Let i + 2*q**2 + 16\/3*q = 0. What is q?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 + 3. Let z be m(-5). Suppose 10 = -4*x + l, -z*l + 7 = x + 3. Put -1, -4, x in decreasing order.\nAnswer: -1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -65*s. Let i(o) = -3*o. What is z(i(k))?\nAnswer: 195*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1671158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -19. Suppose -2*d - 3*g = 32 - 96, 128 = 4*d + 5*g. Suppose -5*a + d = -2*v, -2*a - 2*v = -0*v - 24. What is the highest common factor of a and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -374935.5 take away 0.2?\nAnswer: -374935.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*v + 2*q, -5*v + 105 = q - 78. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -e18?\nAnswer: e20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 0*a - 4*a. Solve -5 + a = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -3. Let w(v) = v. Let b(h) = -4*h + 6. Let f(s) = t*w(s) - b(s). Suppose 5*l = 20 - 5. Give f(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j**2 - 18*j - 28. Let d(f) = -f**3 + f**2 + 13*f + 21. Let x(p) = 11*d(p) + 8*s(p). What is x(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6461 and 24673423.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 6\/(-9))*156. Let a be 3\/(-4 - f\/(-16)). Let w(p) = p - 3. Let v(q) = -q + 4. Calculate a*w(y) - 3*v(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/2*(-5 + 4). Suppose -1 + 2 = 4*a - z*w, -2*a + 17 = 3*w. Let b(o) = a*o - 2*o + 0*o. Let n(q) = 4*q**2. Give n(b(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:36 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9368 by -2342.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - 1102\/(-1827)*7.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/2415739 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-20) - (-15)\/(-100)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 616*b + 65224. What is l(-107)?\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165*d**3 - 11*d + 94*d**3 - d - 160*d**3 - 6*d + 2*d**2 wrt d.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1067449089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 31, -27, 2\/17, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 9) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/12 - (-1)\/2. Let v be 2\/17 + (-112)\/(-204). Factor -2*g**5 + 0*g - v*g**3 + 0 + 0*g**2 - d*g**4.\nAnswer: -2*g**3*(g + 1)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2167 is divided by 357?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44261996 is divided by 11065496?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 1393824?\nAnswer: 4181472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217652515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/11*-4 + 2. Let t be ((-413)\/1416)\/((-7)\/9). Which is the closest to 0.1? (a) t (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1654962951 to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -548475, -548476, -548477, -548478, -548479, -548480?\n\"Answer: -j - 548474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Solve -4*n - 4 = 3*t, 2*t - v*n = -n + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-20)*8\/(-12). What is the third biggest value in 5, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -7. Let m(l) = -l**4 + l**2 - 1. Let f(o) = -8*o**4 + 2*o**2 + 4*o - 2. Let b(x) = p*m(x) + f(x). Find the second derivative of b(v) wrt v.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 52 = -5*h - 42, -3*h = -3*i - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1956\nAnswer: 1\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iywyyinnniwiynynyy. What is prob of sequence ii?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/34)\/(2\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 735*t**2 - 850 with respect to t.\nAnswer: 1470*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252570672.\nAnswer: 2, 3, 1753963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + -144?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -9484186?\nAnswer: -948419a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (3 - 8) - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 3)*(-5*f + f + 2*f) + (2*f + 2 - 2)*(-7 - 8 + 16) to the form r*f + k and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13934, -27848, -41762, -55676, -69590?\nAnswer: -83504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u - 60*u = -636. Let h = u + -51. Solve 0 = r + h*z - 2, 0 = -5*z + 3*z + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10854 by 134.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 55*o**3 - 22*o. Let z(a) = 8*a**3 - 3*a. What is -3*g(u) + 22*z(u)?\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -176, 4, -96, -6, 0, -2.\nAnswer: -176, -96, -6, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65430 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.087 (b) -42\/5 (c) 2 (d) -422 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - 5*((sqrt(216) - (sqrt(216) + -1*sqrt(216) + sqrt(216)) - sqrt(216)) + sqrt(216)))\/((sqrt(24) - -5*sqrt(216))\/sqrt(3)).\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)*t\/t**(-2\/15))\/(t*t*(t\/(t\/(t\/(t**(-2)\/t*t))))\/t*t\/((t*t\/t**(-2\/43)*t)\/t)*t) assuming t is positive.\nAnswer: t**(-463\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*o - 10*o + 18*o)*(0*o**4 + 2*o**4 - o**4).\nAnswer: 38*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2.329, 0 in ascending order.\nAnswer: -1, 0, 1, 2.329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = -3*z, 4*i - 5 = -3*z - i. Suppose 9*c - 16 = z*c. Suppose -4*n - 1781 = -5*g, 2*g = -c*n - 162 + 852. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155.64*-59.\nAnswer: 9182.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4072357 to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 6. Let x = 1 + -1. Let j be u(x). Let r be (3\/10*-4)\/(24\/(-90)). Which is bigger: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - x**2 + x. Let w be s(0). Solve -5*o + w*o = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**3\/3 + y**2\/2 - y - 33. What is f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*m - 2 = 0, -1 = -5*b + 4*m - 0*m. What is the tens digit of (52\/(-12))\/b*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655695.9 centimeters to nanometers.\nAnswer: 6556959000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/60)\/(-1))\/(20\/(-80))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*l + 42*l + 53*l = -60 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -39. Let b = 11 + m. Suppose -b = -6*z + 4*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + -10. Let k be a\/15 + 4\/10. Let m(w) = 2*w**2 + 1. Calculate m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90681893 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 552280000 to the nearest 1000000.\nAnswer: 552000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let h(m) = -3*m + 0 + 0. Let q be (13\/((-130)\/(-80)))\/(-2). Let l(y) = q*t(y) + h(y). Let w(i) = 20*i. Give w(l(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11204 to 4 decimal places.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 49 = -g. Suppose -13*l + g*l + 4 = 0. Let q be 6*(3\/(-6) - -1). What is the highest common factor of l and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*c + 4*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2744 and 508?\nAnswer: 348488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 136*w**6\/3 + 208*w**3\/3 + 2*w - 40. What is the third derivative of b(d) wrt d?\nAnswer: 16320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*1*(150\/(-420))\/(40\/28).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikq when three letters picked without replacement from {h: 1, k: 5, i: 1, q: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(190) + (sqrt(190) + -2*sqrt(190) - sqrt(190))) + sqrt(190))\/sqrt(10))**2 - 4*(sqrt(19) - (-2*sqrt(1539))**2))*1*6*-1.\nAnswer: -151848 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4830 and 630.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 7*x - 8. Let g be r(-8). Suppose -n + 5*n - 128 = g. Suppose -t + n = 3*o, 0*t - 2*o = t - 30. What is the highest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -24*q**2. Let l(d) = -8*d. What is l(b(c))?\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/10*(-5320)\/152?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*h - 4*p + 25, 6 = 3*p. Let r = 22 + h. Suppose 3*y + r = 20. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*k + 0 - 1 - 36*k)*(-6981 + 462*k + 566*k + 6981) in the form g + n*k**2 + u*k and give n.\nAnswer: 3084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.1. Let h = -0.00925 - 19.99075. Are q and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32367*k**4 - 27999*k**2?\nAnswer: 776808*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1690, 1686, 1678, 1666, 1650?\nAnswer: 1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12914 - -13128. What is the greatest common factor of c and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1058*g**2\/11 - 184*g\/11 + 8\/11.\nAnswer: 2*(23*g - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 20. Suppose f = -2*o - 5*o + 35. Suppose o*m - m - 144 = 0. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 - 45. What are the prime factors of z?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52981324 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21601968499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3444, -6932, -10420, -13908?\nAnswer: -17396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -263 + 2c98?\nAnswer: 2a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27008 by 844.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*f - 110*f + 3 - 3)*(11 - 1 - 2 + (-1 + 0 + 0)*(-2 + 2 - 1) - 1 + 3 + 0 - 12 - 6 - 3 + (-2 + 0 + 0)*(-2 + 4 - 1)) to g + i*f and give i.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 4 (c) -5 (d) 1 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1277, 129 in decreasing order.\nAnswer: 129, -39, -1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -deeda7 (base 16) to base 5\nAnswer: -12220003311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.3 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 33. Suppose -5*r + 10 = -10. Calculate the remainder when r\/(-18) + 1765\/45 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (946\/(-24))\/11 - 4*(-3)\/48\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**15\/(x\/x**(-1\/5)*x\/(x\/(x\/(x*x**(-2\/7))))) assuming x is positive.\nAnswer: x**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u + 4605 = 41*u - 4658 - 3953 for u.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + f + 149, -3*f - 3 + 6 = 0. Suppose 57*x = -393 + 1305. What is the remainder when n is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(136)*-2)\/sqrt(8) - -3*2*sqrt(17))*5.\nAnswer: 1 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514, 499, 466, 409, 322, 199?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) -2\/11 (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 - 3*i**4 + (-8*i - i + 6*i)*(8*i - 8*i + 5*i**3) + (2*i**2 - 2*i**2 + 2*i**3)*(-i - 2 + 2) - i**2 + i**2 + 3*i**4.\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0542 - -0.2542. Which is the closest to 2\/5? (a) q (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2817172 + 12782826 = 2*d, -5*l = -5. What is d rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5831835 to the power of 1\/2, to the nearest integer?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3)*0)\/(-2). Let a = 35 - 33. Let u be (-4 - 0) + a + 2. Solve u = -l*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/6*3)\/((-13)\/2). Let k = -0.092 - -0.175. Let i = -0.017 - k. Which is the smallest value? (a) i (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h - 27. Let s be b(-7). Let g(w) = -7*w + 2. Let i(p) = -1. Let r(q) = -2*g(q) - 10*i(q). Let n(m) = -5*m - 2. Calculate s*n(z) + 3*r(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6 - 2*m - 8 + m. Let z = 549 + -555. Give x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 102*a + 25. Give u(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26013555+1.3682\nAnswer: 26013556.3682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 7*j. Let c(n) = 3*n**2 - 3*n**2 - 2*n**2 - 7*n + n. Let s(h) = 7*c(h) - 6*p(h). Let r(o) = 2*o**2. What is r(s(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 4.3. Let w = -1.9 - -2. What is the smallest value in w, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797.673 rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8\/(m*m**(-11)) assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:16 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 5\/12*j**4 - 1\/3*j**3 + 0*j**5 - 44\/15*j**6 + 0 - 36*j + 0*j**2. What is the third derivative of n(a) wrt a?\nAnswer: -2112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 24. Let p(b) = 11*b**2. Determine p(a(g)).\nAnswer: 44*g**2 + 1056*g + 6336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1185.9 + -1184. Sort 0, -5\/2, p in descending order.\nAnswer: p, 0, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -160, -155, -140, -109, -56, 25, 140, 295?\n\"Answer: o**3 - o**2 + o - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 6)*2 - -4. Solve k*j + 13 - 17 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {a: 1, l: 9, h: 1, z: 4, s: 4}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19885386 is divided by 482.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021430392 to 7 dps.\nAnswer: 0.0002143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3*g + d**3 - 362*d**2*g + 19*d*g - 4882*d + 3*g wrt g?\nAnswer: 2*d**3 - 362*d**2 + 19*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-1 + 2*f + 1) + f - f - 4*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16890?\nAnswer: 2, 3, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/125 - ((-58)\/(-40) + -2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -45 + (20 - -4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2720, -5, 2\/5, -1, 10456 in descending order.\nAnswer: 10456, 2\/5, -1, -5, -2720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2405.9493 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 116\/5 - (-6)\/(-30). Let p = d - 21. What is the tens digit of 0 + 57\/3 + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16865555 = -4*b + 2*g - 10770451, -3*b - 20726991 = 3*g. Round b to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7825\/(-175) + (-6210)\/(-805)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259*y**4 + 110*y**3 + 10*y**2 - 318*y - 4.\nAnswer: 6216*y + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkntknlkttkkktjnt. Give prob of sequence nj.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o, -4*w - 16 = -0*o - 4*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 3*n + 10. Let b be x(-4). Let h(p) = 2*p + p + p**2 + b*p - 2 - 3*p. Give h(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 41 - 56 + 25*i**3.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -0.03, 0.5, -672, 1?\nAnswer: -672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 49. Let b = p - -46. Let i(v) = -v - 1. Calculate i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d = -208*d + 2228 - 109 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 + -153. Suppose -b*v = -9*v - a + 4265, 3*a = v - 853. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110*(-24)\/324*(-1404)\/208*(0 + 1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*n + 237*n + 6279 = -228*n. Let k = 1 + -4. Put k, n, 2 in descending order.\nAnswer: 2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1945*c - 2843*c - 2910*c - 297024 = 0 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 8*f**2 + f + 5. Let v(y) = -y**3 - 8*y**2 - 214*y + 14677. Let b(g) = -l(g) - v(g). What is the first derivative of b(j) wrt j?\nAnswer: 6*j**2 + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17994 from -5.229814027.\nAnswer: 17988.770185973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 7*m**2 + 22*m - 41. Determine x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -26. Suppose 0 = -2*o + 8 + a. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6648768 to the nearest integer?\nAnswer: 2579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*r + 1404*r + 84 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 + (-60)\/(-14). Let p(s) = -2*s**3 - 6*s**2 - 6*s. Let k(z) = -z**3 - z**2 - z. Give u*k(n) - p(n).\nAnswer: -2*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-19) + 13 + (-7242)\/570.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497 + 238*o**2 + 3*o**2 - 376 - 121.\nAnswer: 241*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 2\/5, 210, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -12*c + 91. Let a be b(7). Solve 5*k - 10 = 3*q, 5*q - a = -4*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/65 and 85\/24886407.\nAnswer: 124432035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 946, 985, 1088, 1285, 1606, 2081?\n\"Answer: 5*v**3 + 2*v**2 - 2*v + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**3 - 23*r**2 + 26*r - 6. Let m(q) = -11*q**2 + 1 - 4 + 14*q**3 + 13*q - 10*q**3. Let u(x) = 5*m(x) - 2*n(x). What is the units digit of u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1242873\/70 - -17755. Calculate the common denominator of k and -72\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475475?\nAnswer: 5, 7, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tvvt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 34. Let x(o) = -o**2 + o. Let n(t) = 7*t - 2*t**2 - 3*t - 3*t**2 + 2*t**3. Give v*n(r) + 5*x(r).\nAnswer: -2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84870314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -12425405010?\nAnswer: 12425405011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:55 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 15 + 6)*(-2*l + 3 - 3) to k + n*l and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3210231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.819 times 4\nAnswer: -3.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42627 is divided by 3440.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8402 + 8405. Solve 21 = -5*g - 4, -b*g = -3*q + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - r + 5, -14*r + 9*r = -10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33687*c**4 - 13829 wrt c.\nAnswer: 134748*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*s + 154397 = 0, 4*d - 5734 = -2*s + 117788. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 599*s = 594*s + 233, 0 = -5*h - 5*s + 290. Suppose 0 = 4*d + 15 - 91. What is the least common multiple of d and h?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3600 divided by 18\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 13984525?\nAnswer: -6992262.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1634*h**3 + 1 - 29*h**3 - 1.\nAnswer: 1605*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6*j**2 - 8)*(37*j**2 - 5*j**2 + j**2) + (2 - 2 - 2*j)*(-8*j**3 - 4*j**3 + 15*j**3).\nAnswer: -204*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -177\/5. Which is the third smallest value? (a) 0.3 (b) r (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9 and -94.852.\nAnswer: 275.0708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*v, 10*u - 7*u - 5*v - 13 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -36.8. Let y = 0.01 + -1.01. Let p = z - y. Sort 3, p, -5 in descending order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -175*a. Let r(m) = -39*m. Let x(k) = 4*i(k) - 18*r(k). Let w(s) be the first derivative of 1 - s**3 + 4*s**3 + 0. Calculate x(w(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*w - 36*w = -120*w - 12070 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:59 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12358980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 281485 by 3.\nAnswer: 281485\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.317286492 to 2 decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 190, 289, 390, 493, 598, 705?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g - 13. Let t be a(-6). Let j = -25 + t. Factor -q + 20*q - j + 6*q + 35*q**2.\nAnswer: 5*(q + 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/6 (b) 25 (c) -31 (d) 36.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 465, -3, -4 in increasing order.\nAnswer: -4, -3, 3, 15, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/3 + (1862 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 867213682*w**4 - 307488*w - 388.\nAnswer: 10406564184*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45723*s - 38 = -45685*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in 10, -249, -240\/19?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 4 + 8 - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -5, 100 in decreasing order.\nAnswer: 100, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(1\/10)*d)\/d*d)**(-3\/7)\/((d*d*d**24\/d)\/d**(-3\/8)))**(-5\/14) assuming d is positive.\nAnswer: d**(7333\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.078 - -0.408. Let h = -0.19 + u. Let g = 0.3 - h. Do g and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 5 (c) 2\/2763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/9606764 and 7\/31658.\nAnswer: 105674404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 4*i**3 + i)*(-1 + 1 - 2*i).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133222 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4, 3, -2489 in descending order.\nAnswer: 5, 3, 0, -4, -2489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -192, -377, -556, -729, -896?\n\"Answer: 3*x**2 - 194*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*x + 8*x - 1, h + 3*x = -7. Solve h*a - 4*a - 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58915500 to the nearest 100000.\nAnswer: 58900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 4:44 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146999623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 - 34.87. Let g = 36 + a. Let h = -6 - -1. What is the nearest to 0.2 in h, -8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12809816, -12809807, -12809784, -12809741, -12809672, -12809571, -12809432?\nAnswer: -12809249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*q - 4*q + 443*q + 360*q + 209*q.\nAnswer: 899*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*b + 2*b + 4*b)*(3 - 2 + 1) - 740 + 375 + 373 + 2*b)*(2*b**3 - 2*b**3 - 2*b**3).\nAnswer: -12*b**4 - 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5.4147 or 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0441 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1313, -4581, -10025, -17645?\nAnswer: -27441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2. Let f be 6\/12 - (-12)\/8. Let p(w) = -4*w**2 - 2*w**f + 15*w**2. Give p(g(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 8*v + 3. Let x be l(-5). Let b = x + -14. Let s be 1\/(-2)*-1*b. Solve 0 = -3*u - 0 + s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1590 - -2359. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**7\/63 + 499*g**6\/45 + 83659*g**5\/30 + 535645*g**4\/2 + 2032800*g**3 + 5989500*g**2 - 2*g - 230. Find j such that h(j) = 0.\nAnswer: -165, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + -6 + 11 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-18)*v))\/(v\/v**13)*v**(1\/27)\/(v**(-12)*v) assuming v is positive.\nAnswer: v**(1135\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6*0)\/2. Suppose a = 3*m + 31 - 139. List 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 -aa05 (base 12) in base 9?\nAnswer: -27615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*j + 7733, 4*j + 1083 + 866 = p. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/(-44) - 4\/22. Let t be ((-6)\/(-4))\/(z\/4). Let u(f) = -4*f + 2*f - t*f + 4*f. Let c(s) = 5*s. What is u(c(g))?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 2\/15*t**2 + 0*t - 2\/45*t**3 + 19. Factor a(u).\nAnswer: -2*u*(u - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 3*c**2 - 4*c + 7. Let y be q(3). Is 10\/(-2)*(-6 + y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/55*(-10 + -1 + 1). Let a be l\/6 + -22*(-4)\/24. Solve f = y, -f - 20 = a*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/3)*u)**(1\/8)*u**(-6)*(u**(-6)*u)\/u)**(-33\/5) assuming u is positive.\nAnswer: u**(3091\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1759 is divided by 583?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139 - -229. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-4\/15)*j**(13\/5)*(j**(-33)*j*j*j)**(-1\/33) assuming j is positive.\nAnswer: j**(140\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2232 - -2237. Solve 0 = z*h - 26 + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -1779.\nAnswer: 4\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 510.69 and -59308518?\nAnswer: 59309028.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -320?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**3*q**2 - 1409*m**2*q**3 - 3226*m**2*q + 13594156*m*q**3 + 15*m*q**2 wrt m.\nAnswer: 18*m*q**2 - 2818*q**3 - 6452*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/3457 and 48\/83.\nAnswer: 286931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, -4, 361 in increasing order.\nAnswer: -4, 2, 50, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 29 = -3*q - 2*k, 0 = -2*q + k + 63. Suppose 50*j = q*j + 6213. List the prime factors of j.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 10 = -4*m. Put -2, m, -3 in increasing order.\nAnswer: m, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:27 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 6*h**2 + 5*h**2 + (-h + 0*h + 4*h)*(4*h + 12*h + h).\nAnswer: 59*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o + 3. Suppose -2*c = c - 5*r - 7, 16 = 3*c + 4*r. Let v(k) = k - 5*k + 15*k + 0*k + 6. What is c*v(z) - 9*p(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 7. Let d(m) be the first derivative of 2*m**2 + 15*m + 3. Let l(w) = -6*d(w) + 13*q(w). What is l(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -0.5 (c) 1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060, -1188, -1318, -1450, -1584, -1720?\nAnswer: -1858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 537287721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*j + 20*j - 38*j.\nAnswer: -74*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 15.99999992. What is d rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 17. Solve -4*l + x*l = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14553*u - 39391*u + 49873*u + 82067*u + 1.\nAnswer: 107102*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*j - 24 + 216, -330 = -5*p + 5*j. Calculate the remainder when p is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*q**0*q)\/q))\/q*q*q**(-26) assuming q is positive.\nAnswer: q**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:56 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1*3*-1. Let m be -1 + -1 + l - -39. What is the highest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -11 + 27. Suppose 4*b + 4*w = -u, -3*w + 1 - 4 = b. Which is smaller: 6\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -124*f**3 - 2*f**2 - 6*f + 13. Let p be z(-9). Suppose -4*o - p = 1111899. Let k = 480550 + o. Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**18\/v)\/(v*v*v**30))\/(v*v**(-26)*v*v\/(v\/(v*v**(-3\/2)*v))*v) assuming v is positive.\nAnswer: v**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -798*x**4 - 8655*x**3 + 2538*x**2.\nAnswer: -3*x**2*(7*x - 2)*(38*x + 423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010100100000001101 (base 2) to base 4.\nAnswer: 12110200031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13340)\/60)\/(483\/(-189))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100 or -169?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(76) - (-1*sqrt(76))**2)*-3 + sqrt(76) - (sqrt(76)*1 + 3)**2) - (-2 + ((0 + sqrt(76))*-3)**2)*6)*4.\nAnswer: -16940 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*1 + 1*sqrt(1600))\/(sqrt(720) + sqrt(720)*-1 + sqrt(720) + sqrt(720) - (sqrt(5) - (sqrt(500) + (sqrt(500)*2 + sqrt(500) - sqrt(500))))).\nAnswer: 20*sqrt(5)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/2 and 35\/2520554.\nAnswer: 2520554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -5\/6 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 413bb (base 13) in base 9?\nAnswer: 187563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -777*p**2 - 2031*p**3 + 130*p + 2 + 0 + 777*p**2 - p**4 - 128*p in the form n + j*p**2 + u*p**3 + c*p**4 + r*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h + 20*h + 8788 - 8788.\nAnswer: 76*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1797*c**2 - 898*c**2 - 901*c**2. Let k(a) = -2*a + 23. Calculate k(l(g)).\nAnswer: 4*g**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -212c - -51?\nAnswer: -20ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39.09 and -0.1.\nAnswer: 3.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -25. Solve -n*v + 23 = 2*v + 3*s, 4*v = 5*s + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (7 + -37 + -38 - -19)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-40) + (-26)\/16. Let d be (-3)\/(-335 - i)*-3. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -4\/3 (c) -34 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/44 - (-7599)\/6. Let k = g - 573. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - f**3 + 0*f**3 - 2*f - f**2 - 1 + 0. Let c(h) = h**2 - 5*h + 3. Let l be c(3). List the prime factors of n(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmmi. What is prob of sequence ivm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -254 - -255. Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/24))**(4\/15)*o**(-3)\/(o**(-1\/16)*o) assuming o is positive.\nAnswer: o**(-2827\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o. Let g(f) be the first derivative of -1\/2*f**2 + 0*f**3 + 0*f - 1\/20*f**5 + 0*f**4 - 5. Let d(n) be the second derivative of g(n). Give d(k(w)).\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103679503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -86954866 < -347819461\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -8) + (-123)\/126. Let s be 2 + -3 + -7 + -2. Let k(u) = u**3 + 9*u**2 - 10*u. Let r be k(s). Which is bigger: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161.2+1.3\nAnswer: -159.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49456*r = -49454*r + 24, 0 = 4*c - 5*r - 72 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155699, -311164, -466635, -622106, -777571, -933024?\nAnswer: -1088459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -489 divided by -1?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66707745 and 222359150?\nAnswer: 667077450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 44*o - 39*o. Suppose -d + 3*h + 77 = 4*d, 0 = -4*d + h + 63. What is the remainder when o is divided by d - 2 - (-9)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/360 - 5*o**4\/12 - 7*o. Let g(y) be the third derivative of p(y). Let d(n) = n. What is g(d(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53741, 107607, 161473, 215339?\nAnswer: 269205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 79\/3. Put -1\/3, -3\/8, d in decreasing order.\nAnswer: d, -1\/3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310797 and 6561?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17131 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 + 1269*i**2 + 2014623*i\/4 - 56898075\/2.\nAnswer: 3*(i - 50)*(i + 871)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -11 (c) -0.516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 1.76\nAnswer: 10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2821962071.\nAnswer: 89, 1823, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3. Let p(n) be the third derivative of 1\/24*n**4 - 1\/3*n**3 - 3*n**2 + 0 + 0*n. Let t be (3 + 0)*(-2)\/(-3). Give t*c(a) - 3*p(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-13 - (7 + -6). Let g = y + 16. Find the second derivative of 5*a**2 + 2*a**2 - 11*a - 12*a**g wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3126*n**2 + 5*n + 6. Let z be p(-2). Round z to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + x - 15. Let a be (-2 - x) + -7 + 6. Let k be 0\/a - (6 - 9). Solve 2*w - b = 11, k*b + 17 = 3*w - w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 1\/502 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spp when three letters picked without replacement from {s: 2, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {o: 7, i: 7, s: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -32*a + 129. Give h(17).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 18*r = p - 25, 0 = 3*p + 5*r - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let j = -4.3 + -0.2. Let i = z + j. Which is the third smallest value? (a) i (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156159?\nAnswer: 3, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29248 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99.8 + -103.8. Which is the closest to -2\/3? (a) 1 (b) 3\/4 (c) g (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(6\/(-32)). Let h = -52 - -4. Let b be h\/(-22) - (-6)\/(-33). Calculate the highest common factor of b and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250992.8 millilitres to litres.\nAnswer: 250.9928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -4, 5, -22\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:09 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 + i + 1. Let q(t) = t**3 - 14*t**2 + 4*t + 6. Let n(s) = 3*f(s) + q(s). Let b be n(-6). Solve 10 = 3*w - y - 4, 3*y = -b*w + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, l: 1, u: 1, y: 2, p: 1, w: 3}. What is prob of sequence ywfp?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 966 (base 10) to base 12.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73593, -73256, -72917, -72576, -72233, -71888?\n\"Answer: k**2 + 334*k - 73928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52365069307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 8:02 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*z + 1 - 3, -5*z + 20 = -o. Suppose -3*h = -5*h - 3*y + 10, 14 = 4*h + 3*y. Solve -h*u + 9 = -2*b - z*u, -b = u + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -26. Solve j = 2*t + 3 - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**3\/15 + 6*f**2\/5 + 4*f\/5 + 2\/15.\nAnswer: 2*(f + 1)**2*(4*f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9736 + -4492. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29388911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/9 - 4*v\/9 = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + -0.01. Let n = -0.097 - -0.217. Let m = n + a. What is the biggest value in 1\/4, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 13857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 10612\/5 and 2121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 958*i**2*z**3 + 6*i**2*z - 2915*i*z**3 + 139*i*z**2 + 9*z**2 - z - 9 wrt z.\nAnswer: 5748*i**2 - 17490*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (3\/(3\/(-7)))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from yygyyggy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 22\/((-11)\/46 + (-5)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12908039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 51*s = 1280. Calculate the remainder when 145 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 15*j**2 + 13*j. What is z(-16)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2124 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1773 and 0.5.\nAnswer: 886.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 1512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 16*u - 61. Let s be f(-3). What is the units digit of 104\/26*(-66)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4700968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.72 - -0.71. Let g = s - -9. Let b = -5.01 - g. What is the third biggest value in b, -1, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 14980 = 48762. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-1\/2)*o)\/o)**(-7\/5))**(-27))**(-2\/73) assuming o is positive.\nAnswer: o**(189\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4933292, 4933281, 4933264, 4933241, 4933212, 4933177, 4933136?\n\"Answer: -3*g**2 - 2*g + 4933297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/32 and -55\/104.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160645121 is divided by 4268?\nAnswer: 4265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 11*c + 29. Let g be h(13). Suppose 14 = 3*u + v, 0 = -3*u + g*v - v - 1. Solve -z - 16 = -u*f, 0*f = -5*f - 5*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000159533 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1427737336374 - -47\nAnswer: -1427737336327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6526245 times 3\nAnswer: 19578735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -62538 divided by 7?\nAnswer: -8934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -17. Let i(s) = s + 2. Give i(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 3 + -16611 + 6. Round p to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 536439014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1750901 or 0?\nAnswer: -6\/1750901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 126*z**3 - 2*z**2 + 31*z**3 + 3 - 4 - 26*z**3 - z as p*z**2 + u*z**3 + r*z + w and give u.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3232\/17 + -190. Let d(t) = t**3 - 4*t**2 + 21*t - 29. Let o be d(2). Let z be (0 + -2)*(-2)\/(-7). What is the smallest value in z, -4, o, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*h + 956 = 109*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from wwwwieeew.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 - 379\/2. What is the third biggest value in 1, o, 5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-21) + (50 - 50).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(((c*c**(-7)\/c)\/c)\/c)\/c)\/(c\/c**(2\/5)))\/(c*c*c\/(c**(3\/10)*c*c)*c\/(c\/c**(2\/13)))*c**(-2)*c**(-1)*(c*c\/c**1)\/((c*c**(3\/8))\/c) assuming c is positive.\nAnswer: c**(-6671\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 23 + 40 = -4*t - 29, 0 = -2*u - u - 22 + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, d: 5, g: 5}. Give prob of picking 3 z and 1 g.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -0.04866\nAnswer: -0.082722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 36 = k + f, 2*k = -2*f + 38. Let l = 19 - k. Suppose -2*o = -5*x - 2 - l, -2*x + 4 = 2*o. Solve o = -d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.9 (b) -2 (c) 0 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let q = -549 - -549.2. Which is the closest to q? (a) s (b) -0.07 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 8*m = -4*c + 22, m = 5*c - 18. Suppose 202 = 4*k - c*z - 2, -2*k + 3*z = -99. What is the highest common factor of k and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 168*v - 1764.\nAnswer: -4*(v + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29608 - 17802 = -5*l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d**2 - 137*d**2 + 9669 + 9675 - 19344 - 146*d**2.\nAnswer: -256*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10374 + -11514.\nAnswer: -21888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -2 (c) -0.1 (d) 185\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a + 4. Is w(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c6a472 - -5?\nAnswer: 8c6a477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309123333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.041? (a) 0.2 (b) 264 (c) -1\/5 (d) 3 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 - 244?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = m + 38 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 5*u + 2*t - 21312, -5*t - 21305 = -5*u. Suppose -1487 = -a + 3*b, -1695 - u = -4*a + 3*b. Round a to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39106, 39099, 39092, 39085, 39078, 39071?\n\"Answer: -7*w + 39113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101001010001001 (base 2) in base 8?\nAnswer: -651211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/2))**(-18\/7))**(-2\/17) assuming d is positive.\nAnswer: d**(-54\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + 0 + -4 + 1. Let a = s + 15. Suppose -a*y - 159 = -6*y. Calculate the remainder when y is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*l + 14, 2*d + 0*d - 5*l - 23 = 0. Let u be 0\/(3 + -5) - d\/1. Solve 4*n - u = 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*s = -115*s + 3390. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/(-2) + ((-6)\/21 - (-1360496)\/112) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**5*k)*k**3)\/((k\/k**6)\/((k**(-6\/7)*k)\/k)) assuming k is positive.\nAnswer: k**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.9*-4.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000113364 to seven dps.\nAnswer: 0.0001134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (4198425\/(-12))\/(-11) + 12\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 7*n - n - 3*n to h*n + k and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 13593418 - 3189838. Let f be -45*(4 + y\/(-25)). Let x = 2441968 - f. Round x to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 807\/(-135) + 4 - -2. Is q greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = m - 0*m - 4*t, -13 = -4*m + t. Suppose -m*x + 2*z + 20 = 0, -14 = -3*x - 11*z + 10*z. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7007668 or -7007669?\nAnswer: -7007669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53978247 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.387, 0.4, 20.6.\nAnswer: -2, 0.387, 0.4, 20.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 - 2*o + 4. Suppose -2*p + 26 = 5*b - 0*p, 4*b - 1 = 5*p. Let k(x) = -7*x**2 - 2*x + 5. Calculate b*k(c) - 5*d(c).\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + y = 4*q - 26, -2*q + 3*y + 51 = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 + 2201*t - 881262 = 0. What is t?\nAnswer: -2547, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 + 4076 + 20*k**2 - 9*k**2 - 4382.\nAnswer: -k**2 - 306","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.78 - 2286.\nAnswer: -2286.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -67153.3364 and 0.031?\nAnswer: 67153.3674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5221399*49\nAnswer: 25.5848551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(96))\/((sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(9)) + 3.\nAnswer: sqrt(7)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(1*(-3)\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1267.\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 p when four letters picked without replacement from dddpdpddjd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 1783*w - 1785*w - 95, 0 = -4*c + 29*w + 1666 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 1 + 1 - 5*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 + 13552*t**3 + 11492088*t**2 + 22943536*t + 11464996 = 0 for t.\nAnswer: -1693, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/2 + 2354*a**3 + 3369555*a**2 + 872932626*a - 1729750231071\/2.\nAnswer: (a - 359)*(a + 1689)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*g + 17, 38*g - 37*g - 1 + 5 + 30 = 2*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -943*u + 401. What is the hundreds digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by -37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*s + 351 - 47 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -38. What is the remainder when 48 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 2*j + 6. Let x be k(3). Let s(h) = -h**2 + 14*h - 10. What is the remainder when s(x) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 928521812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3002 + -2991 + (1 - (5 + -2)) - (-23 + 0)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 13 - 20 - (-6 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 5, l: 3}. What is prob of picking 3 w?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 3\/2, 5, -0.8 in increasing order.\nAnswer: -0.8, -4\/15, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/(-49))\/((-25)\/(-350)) - -165)\/3\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**8\/i*i))*i)\/i**(-1))**(3\/17) assuming i is positive.\nAnswer: i**(30\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548443 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 2b?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 115 + 8581*x**3 - 8606*x**3 + 115.\nAnswer: -25*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 9 + 5)*(7 + 3 + 1)*(-1 + u + 1) + 2*u + 3*u - 2*u to x + t*u and give t.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 2*i + 20, -5*i = 47488 - 47508 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 + 2*y + 4. Let s be r(0). Solve 3*u + 3*f = -6, 8 = -u + s*u - 4*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-o - 2*o + 0*o) + 3*o + o - 7*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/7 + 48*w**2\/7 - 2*w\/7 - 48\/7 = 0 for w.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241625183, -241625182, -241625181?\nAnswer: -241625180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5422*s**3 + 5588*s wrt s.\nAnswer: -32532*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4283 - 4281 + 3*z - 5*z**2 - 2*z**4 + 4*z**2 - z**3 to i + x*z**4 + q*z**2 + k*z + d*z**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**3\/3 - 7*j + 18. Let y be c(3). Suppose 31 = 5*f - n, 3*f + y*n = -0*f + 16. Solve -4*z = 6 + f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78884767 take away 0.3732?\nAnswer: -78884767.3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3233 and 88023.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(6\/(-5))\/3. Let n be (u*3)\/2 + -2. Let w be (0 + 0)\/(n + 1). Which is the biggest value? (a) -4 (b) -1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + 4 - 3*o**3 + 5*o**2 - 2*o**2 - 2*o**2. Let i be h(-2). Solve 5*k = 5*v - 30, -k + 4*k - v + i = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6402264*b - 59. Let v be o(-4). Let y = 45539115 + v. What is y rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -8 - (10 - 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2144, 2003, 1860, 1715, 1568?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -254, -250, -246?\n\"Answer: 4*u - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348399, 348347, 348301, 348261, 348227, 348199?\nAnswer: 348177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 + 10*d**2 - 8*d**2 - 3*d**2 + 2*d**2 + 2*d**2 + (0*d**2 - 3*d**2 + 2*d**2)*(2 - 2 - 3) to the form m*d**2 + k + t*d and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 (base 10) in base 8?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 271, 85, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7 + 3. Suppose l = -2*l - 3*s + 21, s - 31 = -o*l. What is the least common multiple of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + -25.86. Let s = 28 + h. Let g = s + -2.2. Do -16 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -261486?\nAnswer: 2\/130743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d + 19. Let r(t) = -3*t - 9. Let g(y) = -4*h(y) - 9*r(y). Let n(a) = -2*a - 4. Let j = 15865 + -15861. What is j*n(q) + 3*g(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 100. Let d be y(0). Let z = -2818 + 2858. What is the greatest common divisor of z and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7948\/5 - -73162\/45. What is the second smallest value in 1\/4, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(((c*c**(11\/2)\/c*c)\/c)\/c*c*c)*c)*c\/(c**(-14)\/c)*c*c assuming c is positive.\nAnswer: c**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12782679 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 67. Let x be 7\/(-35) + w\/10. Suppose -5*j - x = -53. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 13*o + 8. Let r(g) = 3*g**3 - 2*g + 1. Let h be r(1). Solve 192 + 2*t**2 - 189 - 3*t**o - h*t = 0 for t.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Calculate the remainder when (-18 - 1612\/(-91))\/(1\/(-21)) is divided by (12\/(-8))\/(1\/y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from egeegege.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 2, -4, -2\/17, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 142207 + 726?\nAnswer: 143034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5*15\/2*-2. Let q(b) = -b**2 + 1. Let p(l) = -2*l**2 + 2. Let w(t) = p(t) - q(t). Determine w(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83456 and 160?\nAnswer: 417280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22173645 - 2*d + 22173645.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5131 + -5132. Sort 5, m, 0.4, -49 in decreasing order.\nAnswer: 5, 0.4, m, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2248 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 21 = -17*r. Let t be (-2)\/r - 4*(-4)\/(-24). Solve 2*c - 3*c - 3 = t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240524*b*k**2 - 2*b*k - 2*b - 4*k + 221962 wrt k.\nAnswer: 481048*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9 - 5 - 176*i - 1 + 173*i. Let q(k) = -11*k**2. Give n(q(d)).\nAnswer: 33*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 19 - 13 = 0. Suppose q*j - 324 = 96. Suppose -5*p - 5*y = -10, -3*p + y + y = -26. Calculate the remainder when j is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + 42*a - 6. Let p be g(-10). Let d be (22\/(-143))\/(1\/p). Let s = 1.97 - -0.03. What is the third biggest value in s, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 5 (b) -1.2 (c) 2\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-20) + -2*2\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -799?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from znz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/4)\/((-710)\/(-1136))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s**2 - 310*s - 11. Let v be f(36). Is 489 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-3*-3 - sqrt(1700) - -1*(sqrt(1700) - (sqrt(1700) + sqrt(1700) + 2 + sqrt(1700))))**2*3.\nAnswer: -720*sqrt(17) + 183612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**3 - 8*s**2 - 9*s - 9. Let z = 5 + -3. Let g(d) = 0*d + 2*d + 2*d**3 - z - 2*d**2 - 4*d. What is -9*g(w) + 2*u(w)?\nAnswer: -2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -39, -44, -33, 0, 61?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3637, -3595, -3553?\nAnswer: -3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42670516, 85341028, 128011538, 170682046, 213352552, 256023056?\n\"Answer: -b**2 + 42670515*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g\/(g\/((g*g**(-7))\/g))*g))*g**(-1\/18)\/g)\/(g**(-26)*g*g**(-13)*g))**43 assuming g is positive.\nAnswer: g**(22403\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*x**3 + 369*x - 13*x**2 - 285*x**4 - 860*x**3 - 704*x**2 + 162 - 18*x**5 - 893*x**3 = 0 for x.\nAnswer: -9, -6, -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1827621 and 810324.\nAnswer: 2697568596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Suppose -v + r = 4*t, -2*v = -4*t - 0*v + 14. Suppose -2*a + t + 18 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -35 (b) 5 (c) 2 (d) -0.3 (e) -0.1 (f) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 - 104. Suppose -v + i = 50. Suppose 0 = 4*q + 2*d + v - 5, 3*d = 5*q - 5. Is -3 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181 - -32029.06.\nAnswer: 32210.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 5*t - 28. Let r be q(3). Solve y + 1 = -0*y + 5*c, -r*c = -3*y + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2202 (b) -4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 + 770*d**3 - 14355*d**2 - 176930*d + 1960400 = 0. What is d?\nAnswer: -13, 8, 29, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 88*v**2 + 53*v - 141. Is f(-58) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 49*o**2 - 210*o. Calculate g(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 12*m - 8*m. Let x = -24 + m. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (8 - -5)) + (-14 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -227*s**8\/336 - s**5\/30 + 89*s**4\/6 + s**3\/3 + 2965*s**2. What is the second derivative of p(h) wrt h?\nAnswer: -4540*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 6499614\/41?\nAnswer: 6499614\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*c = 4*y - 5, -5*y + c + 21 = 0. What is the second derivative of 0*g + 15*g**4 - 3*g - 4*g**4 - y*g wrt g?\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1248004060 to the nearest one million.\nAnswer: -1248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 0.12.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 8:27 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffbbbfbfffbbffbbb. What is prob of sequence bbbf?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t = -60*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/((sqrt(288) - (sqrt(288) - (sqrt(288) - (sqrt(288) - (2*sqrt(288) - sqrt(288)))))) + sqrt(288) - sqrt(2)) + 0.\nAnswer: 3*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004087 to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*r = 82*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 225 = -507. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0113975 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 30 = -2*z - 10, -3*w + 3*z - 12 = 0. Let u = 20 - 29. Let x be (-2)\/w*(1 - u). Solve 0*g - 15 = -x*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 553*j**5 - j - 346?\nAnswer: 11060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) 3\/8 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(539) - 4*sqrt(539) - (2 + sqrt(275))).\nAnswer: -52*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -65*j - 875. Give c(-6).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-301644)\/(-152))\/147 + 14\/(-4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 1 - (-171)\/3. Suppose s - 46 = -7*l. Sort l, -12, 3.\nAnswer: -12, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-3 - 1\/3). Suppose -5*g + 5*n - 78 = -13, -n + 49 = -4*g. Let r = g + 16. What is the closest to 0 in -3, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5504 + -0.1504. Let y = -0.5 + 1. Which is the closest to 4? (a) 0.04 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/15792 and -11\/336?\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 10*u + 4. Let t be i(8). Let o = 22 + t. Let j(c) = c**3 + 4*c**2 - 5*c. Let z be j(-5). Solve -2*v - n - o = z, 2*v + 10 = v - 3*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116661 - -197353. Let y = -80708.0092 + n. Let b = y + 16. Round b to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -69\/5 (b) -10 (c) 4\/5 (d) -3\/8 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331 - -407. Calculate the remainder when t is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 10. Suppose -19 + 94 = x*d. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2\/5, 2, -3\/10, 1, 0.7 in increasing order.\nAnswer: -3\/10, 0, 2\/5, 0.7, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrycryc. What is prob of sequence rcrc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2*(-27)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5223, 52, 1\/2 in ascending order.\nAnswer: 1\/2, 52, 5223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 9:01 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 7. Let m be y(-10). Suppose 8*q - 40 = m*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40696236 + 0.3845.\nAnswer: -40696235.6155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.451 + -1.09. Let u = i - 0.3612256. What is u rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 55*o**2 - 4015*o - 29. Give i(73).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13628 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.4 + 5.4. Let d = 22 + -43\/2. Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 109?\nAnswer: 32\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -1\/2, -0.1, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3*u**2*z + 8944*a**3*u + 2*a**3*z - 71664*z wrt u?\nAnswer: 4*a**3*u*z + 8944*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7618 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/9 (c) -0.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.024 in 4, 9914.9, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 10. Let q(t) = 3 - 183*t + 0 - 195*t + 376*t. Let j be (-2 + (-105)\/(-28))\/((-1)\/4). What is j*q(u) - 2*d(u)?\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from qzqqmmq.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c*m**2*o + 3*c*m**2 - 9*c*m*o**3 - 430*c*o + m**2*o**3 - 8*o**2 wrt o?\nAnswer: -54*c*m*o + 6*m**2*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5497, 10993, 16491, 21991, 27493, 32997?\n\"Answer: d**2 + 5493*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0475403 times 84?\nAnswer: -3.9933852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -453.64 - -8.64. Let k = -445.0000096 - o. Round k to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.626 - 1.626. Which is the closest to 0.15? (a) 2 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156592.5 micrograms in kilograms?\nAnswer: 0.0001565925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110546 (base 7) to base 4\nAnswer: -10300133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9438929, -37755677, -84950253, -151022663, -235972913, -339801009?\nAnswer: -462506957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51.1 + 49. Let m = y + 2. Let u be 2 - ((-32)\/(-18))\/1. Which is the nearest to m? (a) u (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 4) + (11 - (8 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - 2 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-121)\/(-33) + 4\/3. Let s(q) = -7*q + 9*q + 2*q**3 + q**3 - 10 + i*q**2 - 4*q**3. What is s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - 15 - -6 - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from {q: 3, a: 7, f: 2}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -2*z**6 + 14*z**3\/3 - 6. What is the third derivative of r(t) wrt t?\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -31*n**2. Let i(p) = 702*p**2 + 3*p. What is i(x(y))?\nAnswer: 674622*y**4 - 93*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05616 - -0.24384. Which is the nearest to 1? (a) -21 (b) 0.7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let z(d) be the third derivative of 7*d**5\/15 - 16*d**2. Determine z(u(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 2, w: 2, z: 4}. What is prob of picking 1 g and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*n*o + 38*n + 167*o with respect to n.\nAnswer: -21*o + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6063946 divided by -1.\nAnswer: -6063946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 50. What is the tens digit of (4\/4)\/(1\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5288760 and 2304?\nAnswer: 169240320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-2)\/6) + -2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 5*d - 3*d)*(1 + 1 - 3 + (2 + 0 - 4)*(-2 - 2 + 2)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 489?\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116870, -1116869, -1116868, -1116867?\nAnswer: -1116866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -722, -891, -1064, -1241, -1422, -1607, -1796?\n\"Answer: -2*q**2 - 163*q - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 12. Put 43, 5, 3, u in increasing order.\nAnswer: u, 3, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 9*d - 4. Let y be x(4). Suppose -f - 4 = 0, m - y + 0 = 3*f. Find the second derivative of 2*q + 3*q + m*q**4 - 6*q wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Suppose 3*w = 8 - 2. Suppose 0 = 4*i + 3*z - 2 + 1, 0 = -w*i - z + 1. Which is the closest to i? (a) 1\/3 (b) 2\/15 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510124 is divided by 734.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -121110010022?\nAnswer: 121110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 63. What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -1\/6*m**4 - 2*m + 0*m**3 + 0 + 0*m**2 - 1\/10*m**5. What is f in v(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*x + 31680 + 60305 - 7797 - 2332 = 0 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1595 + 1278 = -42*b + 4301 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 - 29216*l\/7 - 116832\/7.\nAnswer: -2*(l + 4)*(l + 14604)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4263773.\nAnswer: 4263773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001376 to six decimal places.\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 + j + 15. Suppose -k - 2*k = 0. What is the tens digit of b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 381677418 and -0.3.\nAnswer: 381677417.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1186 - 596. Suppose -p + 4*v = 3*p - 2336, v - r = -p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 115?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -166.4529*-5.5\nAnswer: 915.49095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1458973051 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 7*g - 5. What are the prime factors of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*x**2)*(14*x + 52 - 52)*(-2 + 6 - 5).\nAnswer: 42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0 + 5. Let z be (2\/(-6))\/((-3)\/9). Let l = z + s. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76345 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: Simplify ((i\/i**(1\/5))\/i**2)\/(i**(-5\/2)*i*i*i\/(i*i\/(i\/(i*i\/(i**(-13)\/i)))*i)*i) assuming i is positive.\nAnswer: i**(153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 196624568 to the power of 1\/3, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/2 (c) 4\/3 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + -0.1. Let p = -24.43 - -0.43. Let m = p + 29. What is the closest to 1 in o, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -11, -3, 3, 1, 2 in descending order.\nAnswer: 3, 2, 1, -3, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 3.297, -5, 0.01, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5996265 is divided by 555.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.034, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/3 + 71*m**2 - 1072*m + 12608\/3 = 0.\nAnswer: 8, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = -18*y + 17*y + 30030. Does 30 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-36)\/(-10) - 3)\/(1\/(3 + 39062))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52215 (base 6) in base 5?\nAnswer: -210440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381388764.\nAnswer: 2, 3, 31782397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -391*n**2\/2 + 497*n - 445. Differentiate l(a) wrt a.\nAnswer: -391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 25*f = 120. Suppose f*q - 28*q + 252 = 0. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**7\/840 + 7*v**6\/360 + v**5\/10 - 17*v**4\/24 - 7*v**3\/6 + 8*v. Let y(g) be the second derivative of x(g). Is y(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -8*z - 3\/40*z**5 - 1\/16*z**4 + 1\/4*z**3 + 0*z**2 - 7 + 1\/40*z**6. Let i(f) be the first derivative of p(f). Solve i(o) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45611 (base 13) in base 12?\nAnswer: 61095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 - 3. Let a be x(7). Let i be 38\/(-133) + 286\/(-28). Let r = i + 59\/6. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 14400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 450*z**3 - 1540*z**2 + 1472*z - 256.\nAnswer: 2*(5*z - 8)**2*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12ca16b - -17?\nAnswer: 12ca184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 50373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2967308.52 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjy when three letters picked without replacement from gyj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*0\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 2:40 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**4 + 2873*v**3 + 28*v - 12?\nAnswer: 24*v**2 + 17238*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8 + 1.4. Let x = 3.6 + -4. Let p = x - a. What is the nearest to 1 in p, 3, -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -3, 4*h = 4*r - 304. Find the common denominator of 15\/4 and (-7 - r\/(-12))*450\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 222*u**2. Let f(a) = 225*a**2 + 819*a. Let g(v) = 27*v**2 + 98*v. Let s(m) = -14*f(m) + 117*g(m). Give s(z(p)).\nAnswer: 443556*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - d + 3*d - 142795*d**3.\nAnswer: -142795*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.79 * -0.2.\nAnswer: -1.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 4121.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*h - 13*h**2 + 33*h to the form c + w*h + m*h**2 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17067*-1\nAnswer: -17067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 43, -7, 5.\nAnswer: -7, 0.2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.62 - 18.62. Let f = 1.1 + -6.1. Let o = f - j. What is the closest to 1 in o, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10153.47 (b) 55\/3 (c) 1 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -794*-0.05956.\nAnswer: 47.29064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, r: 1, k: 1, s: 1}. Give prob of sequence rmsm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 + 65 + 162*z - 34 - z**4 - 33 + 52*z in the form j*z**3 + f + m*z**4 + c*z + h*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 596399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4829 (b) 0.2 (c) -2\/5 (d) -1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1887902029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -120020222122?\nAnswer: -120020221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430 and 5670?\nAnswer: 243810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98769741 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7*y + 24 = 0. Let f(c) = -23*c + y*c**2 + 30*c - 7*c. Let r(q) be the first derivative of -q**2 - 3. Determine r(f(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2 + 2)*(-3*v**2 + v**2 + v**2)*(-2*v + 3*v + 2*v).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2 - 6278*t + 161876 = 0?\nAnswer: 26, 3113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 508.1302 millennia in months?\nAnswer: 6097562.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65300, -130597, -195902, -261215, -326536, -391865, -457202?\nAnswer: -522547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -258 or -259?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 19 + 58 = 3*x, 3*x - 15 = c. Put -3, 4\/3, c, 0.5 in decreasing order.\nAnswer: 4\/3, 0.5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/9)*y\/(y*y*y\/(y**12\/y)*y) assuming y is positive.\nAnswer: y**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 + 7*w - 13. Give p(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 58477*r - 2629440.\nAnswer: -(r + 45)*(r + 58432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -231*k + 1611. Calculate y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 49, 72, 109, 160, 225, 304?\n\"Answer: 7*x**2 - 12*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111120100020122 (base 3) to base 12.\nAnswer: 24b8a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21\/50 + -2\/25. Sort t, 0.5, -1.\nAnswer: -1, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/12)\/3*2\/2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1828 + 3524. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.4 + 1.4. What is the second biggest value in -3, 2.2, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -61, -80?\n\"Answer: -19*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(-3\/17)*(n*n*n**0)**31 assuming n is positive.\nAnswer: n**(1053\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109810, -219648, -329488, -439330, -549174?\nAnswer: -659020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26267 take away -2254678?\nAnswer: 2280945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-21) + 58\/609. Which is the biggest value? (a) 0.5 (b) 2 (c) j (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24770\/(-45)*63\/(-14) a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18697011 divided by 3.\nAnswer: -6232337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180277?\nAnswer: 41, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126, 1043, 3532, 8379, 16370, 28291, 44928?\n\"Answer: 131*w**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3453569*k**4 - 3541243*k wrt k.\nAnswer: 41442828*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5471*j - 5672*j - 4221 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-13 - -29 - (52 + -44)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9 = 5*k, -3*h - k + 4902 = 0. Is ((-13)\/(-3))\/(5\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263 divided by 199\nAnswer: -263\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3314211101 (base 5) to base 15\nAnswer: 96c136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -703277 divided by 18\nAnswer: -703277\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o**2 + 0)*(0 + 2 + 1)*(-2 - 3 + 4).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 11 - 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - z. Let r(c) = -6*c**2 + c. Let o(b) = r(b) + u(b). Let t(g) = 3*g. Calculate t(o(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-12)\/6 - 93\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -98 (b) -3 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - 2. Let f = y - -15. Differentiate 1 + f*d**2 - 5*d**3 - 6 - 5*d**2 with respect to d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10320 + -10319.99966732. What is f rounded to six decimal places?\nAnswer: 0.000333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x - 9. Suppose 0 = f - 3. Let z(k) = -3*k + 8 - 9*k + 5*k. Let y(s) = f*z(s) + 2*j(s). What is the first derivative of y(q) wrt q?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 15*o**3 + 10*o**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/8 + 17*m\/4 + 225\/8 = 0.\nAnswer: -25, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 2*n**3 - 3*n**3)*(51*n + 33*n - 21*n).\nAnswer: -63*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 849.1419ng?\nAnswer: 0.0000008491419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4195*z**2 - 2 + 4*z + 4196*z**2 - 22 - 8390*z**2. What is p(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, h: 2, y: 1, v: 1, a: 2}. Give prob of picking 1 f and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15735294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13121000033 (base 4) in base 2?\nAnswer: 111011001000000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = s + 2*s - 5, -s = 4*l - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2. Let f(i) = -562*i**2. Calculate n(f(b)).\nAnswer: 631688*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110101110101101001110?\nAnswer: 110101110101101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -44486 less than or equal to -44485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 2, z: 4, w: 2, d: 7}. What is prob of picking 1 a, 1 d, and 1 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x - 4*u, -3*x - 4*u + 2 = -14. What is the remainder when 25 is divided by ((-4)\/(-6))\/(x\/234*3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5297 and 84931992.\nAnswer: 84931992.5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/13 - 647986*d**2\/13 + 69964992*d\/13 - 1888897320\/13 = 0. Calculate d.\nAnswer: 54, 323885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -14. Let h = -2 + i. Solve 4*f + 0*f = -q - h, -2*f = 4*q - 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 21*v - 60 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 6*x**2 + 0*x**2)*((x**2 - 4*x**2 + 4*x**2)*(0 + 0 - 2) - 3*x - x**2 + 3*x) as h*x**4 + g*x**3 + p*x + o*x**2 + q and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/10 of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 - 14841*i**2\/2 + 27520776*i + 82629126.\nAnswer: (i - 7422)**2*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1222, 4872, 10950, 19456, 30390, 43752, 59542?\nAnswer: 77760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639279 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - (-4)\/3. Suppose 0 = s*h - 4, b = -2*h - 2*h + 94. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - 2*x + 2*x + 2 - 2*x**3 - 2 + (0*x**3 - 2*x**3 + 0*x**3)*(1 + 3 + 0) - x**2 + 3*x**3 + x**2.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 17674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 52 - 2 = 0. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) + -4)*-4*-5 + (sqrt(48)*-1*4*3)**2.\nAnswer: -40*sqrt(3) + 7072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2723.679 litres to millilitres.\nAnswer: 2723679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 12*j**2 - 12*j**2 + (-1 + j + 1)*(-j**2 - 2*j**2 + 2*j**2).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + s - 1)*(-56104 + 105009 - 71317).\nAnswer: -22412*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 16*r - 7*r - 30, -3*v = 2*r - 4*r + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1\/8, 0.2, -4, 7 in ascending order.\nAnswer: -4, -1\/8, 0.2, 3\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**16*y))**(-2\/5) assuming y is positive.\nAnswer: y**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -508633.7 to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x**4 + 40*x**3 - 50*x**2 + 16*x. Let k(h) = 29*h**4 - 79*h**3 + 101*h**2 - 33*h. Let q(a) = 4*k(a) + 9*s(a). Factor q(l).\nAnswer: -2*l*(l - 3)*(l - 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(42)\/sqrt(7)) - (-2 + sqrt(63)))**2.\nAnswer: -8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*5\/20 - 21\/(-2). Suppose 0 = -18*z + p*z + 1029. Find the third derivative of -14*l**6 + 147 + 49*l**2 - z wrt l.\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -704.92 + 705. Sort z, -0.3, 1\/2, 5, -0.08 in decreasing order.\nAnswer: 5, 1\/2, z, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 1921, 4?\nAnswer: 1921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 2*s - 13224 = -28*v, -3*v + 7933 = s. What is the greatest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 10506*o + 52511. Give d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d, 3*d + 144 = 46*h - 49*h. Let x(o) = -2*o**2 - 9*o + 8. Let k be x(-8). Is h greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/18 and 61\/105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 223475, 223468, 223461, 223454, 223447, 223440?\n\"Answer: -7*l + 223482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2248*q + 3224.\nAnswer: -2248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/14)*u*u)*u*(u\/u**(-8))\/u)\/(u**(-1)*u)**(-6\/13) assuming u is positive.\nAnswer: u**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -u + 5*s, -2*s + 0 = 5*u - 8. Suppose -4*x - 4*c + 242 = -3*x, u = -3*x - 2*c + 746. Is 50 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**5\/40 + i**3\/3 + 4. Let n(x) be the third derivative of w(x). Give n(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - n. Let j be k(2). Let q be (-5)\/20*-2*0. Suppose -j*i = -q*i - 2. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -7\/13, 0.2, -0.2?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 + 3702*n**2 - 7395*n + 3696 = 0 for n.\nAnswer: 1, 1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l. Let f(y) = -y. Let h(g) = 7*f(g) + 2*q(g). Let s(m) = -4*m. Give h(s(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160320401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 182235829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*q = -33116, -4*j - 18*q + 13*q = -66128. What are the prime factors of j?\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**13)\/s*s)*s*s**12\/s)\/((s*s*s**(-2\/25))\/(s*s**(-12)*s*s)) assuming s is positive.\nAnswer: s**(352\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15190 and 2623530?\nAnswer: 18364710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = -2*s. Put s, 5, 0, 6 in descending order.\nAnswer: 6, 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2280\/(-3892) + (-934)\/(-64913)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.88133 to three decimal places.\nAnswer: 0.881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 782*g - 3*g**2 + 783*g + 8 to the form q*g + m*g**2 + i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 22 - (1 + -1 + 7) - 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49198.\nAnswer: 2, 17, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2156, -3465, -4786, -6125, -7488, -8881, -10310, -11781?\n\"Answer: -o**3 - 1302*o - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 0.002209?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuututuuututu. Give prob of sequence tuut.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 0. Let b(m) = 0 - 2*m + l. Let p(t) = -8*t. Let r(y) = -3*y. Let c(v) = 4*p(v) - 11*r(v). Determine b(c(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102 a factor of 681950439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 479071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 2. Let n be f(-4). Let d(t) = t. Let x be d(n). Suppose 5*l = 4*l + 16. Solve 3*o - h = -l - 0, x*o + 5 = -5*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21797154 by 1566.\nAnswer: 13919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/38*2\/1. Solve -g + 0*g = f - 2, -10 = -g + u*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 309?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0922 from 1200.\nAnswer: 1200.0922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84572 is divided by 436?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 8. Suppose 4 = l - o, 0 = a*l - 2*l + 4*o - 11. What is the remainder when 7 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(2 - 2 + 2)*(1592 - 1592 + 3814*g**2) as o*g + q*g**2 + k and give q.\nAnswer: -15256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*m - 4*n, 5*n - 9 + 4 = 0. Let l = -17266957\/11 + 1568598. Let c = l - -1127. Which is bigger: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 1 = j, -8*j + 3*j + 27 = -q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52486 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/40 - 13*q**4\/72 - 4*q**3\/9 + 92*q**2 - 4*q + 6. Find x such that z(x) = 0.\nAnswer: -2, -8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a factor of 187380151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 107. Solve y + v = 4, m*y - 6*y - v + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-18)*3*-2*(-18)\/(-168)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0. Let q = -32\/21 + 4\/21. Put q, -0.2, z in decreasing order.\nAnswer: z, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/4 (b) 5 (c) -3\/4 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2. Let d(t) = 203*t. Let h(a) = 24*a. Let u(s) = -5*d(s) + 42*h(s). Calculate b(u(o)).\nAnswer: -147*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2446701 divided by -3.\nAnswer: 815567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*(-180)\/(-1836)*68?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*j = 5, -3*a - 2*j + 35 = -6*j. Let y(k) = k + 8. Let b be y(-5). Let u = -208 + 209. Put b, u, a in descending order.\nAnswer: a, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -85.10555114?\nAnswer: -81.10555114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n - 165. Let g be s(-16). Find the second derivative of 8*x + 4*x + x**4 - 29*x + g*x**2 - 40*x - 12*x**2 wrt x.\nAnswer: 12*x**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8244.3021 rounded to the nearest 10?\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57067*f**4 + 32*f**3 + 245062*f + 5?\nAnswer: 684804*f**2 + 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -11, -37, -85, -161, -271, -421, -617?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*c - 4*f = 683*c - 10, -5*f = -3*c - 26 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 7*m**2 + 6*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**3 + 5*u**2 + 4*u + 10. Let l be z(-5). Let g = -217 - l. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in -1, -5, 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 2*c = 52, 194*r + c - 27 = 192*r - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27481207.\nAnswer: 13, 2113939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + 4. Let m = y - 41.4. Let u = m + -7. Round u to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6783.\nAnswer: 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308829 is divided by 102744.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/1624*18*(-52)\/(-2106)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12 + 2)*(-5)\/2)\/1. Let f = 47 - x. Suppose 3*a - 2*l = 26 - 0, 0 = 2*a + l - f. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1596502.8309 rounded to the nearest 10000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*w**2 + 48*w**2 - 2 + 35*w**2 + 3*w - 19*w**2 to s*w**2 + h + k*w and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 793 * 264281\nAnswer: 209574833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 91444.77 meters?\nAnswer: 91444770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113000 rounded to the nearest 1000?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114144 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100575 and 417945?\nAnswer: 18807525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3983\/6 or -665?\nAnswer: -665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19564 is divided by 163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**3 + 2*q**2 + 4*q + 6. Let g(w) = -17*w**3 + 6*w**2 + 11*w + 17. Determine 4*g(u) - 11*t(u).\nAnswer: -2*u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3248, -7365, -11472, -15563, -19632, -23673?\n\"Answer: k**3 - k**2 - 4121*k + 873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*u = 4*w + 15, 3*w + 6 = -5*u. Suppose 3*q = -w*v + 171, -q = -v - 69 + 8. Suppose -k + 143 = 4*r, -2*r - 3*k + q = -0*k. Does 22 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 251, -3, -67, -1 in decreasing order.\nAnswer: 251, 0, -1, -2, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:26 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Let b(u) be the third derivative of 67*u**4\/8 + u**3 + 17*u**2. Let a be b(z). What is a rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 - 13*w**2 - 14*w + 4. Let r be f(4). Suppose -68 - 40 = -2*t. Let z be r\/10 + t\/10. Solve -z*h + 3 = -12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124305 - 124252.687. Round t to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2554\/15 or 169?\nAnswer: 2554\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1196769154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a + 6*a + l = -31, 0 = 5*l - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-7 - -10) + 2 + 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 21\/8, 0.3, -0.4, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 831.9733 micrometers?\nAnswer: 0.08319733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 502517 = 2*y, m = 67*y - 68*y + 167499. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360906245 a multiple of 2065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 - 158.8. Let m = f - 9.7. Which is the biggest value? (a) 0.3 (b) 1 (c) 2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/16*-3*28\/(-7)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136 + 16 - 14 - 4*t**2 + 13 to the form s*t + r + w*t**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1231 rounded to two dps?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -316.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/15 - 20*c**2. Let a(h) = -3*h. Determine k(a(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*y - 49. Let o = y + 29. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (28423\/(-4))\/(205\/82*(-1)\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + 21\/12. Suppose q*h = -2*h + 12. Suppose -3*t = -7*a + 2*a - 118, 0 = 4*t - h*a - 150. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271396625 rounded to the nearest 10000?\nAnswer: -271400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = -6*k + 2150 - 192. Solve k - 318 = 10*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -355 + -414055?\nAnswer: -414432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y**2 + 21*y**2 - 17*y**3 - 2*y.\nAnswer: -17*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*x + 0*x - 9*x)*(1 + 3 + 13) in the form c*x + p and give c.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/21)\/(1\/30). Let p(s) = -15*s + 6. Let g be p(c). Let l = -61 - g. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 + 2 = -4*d, 3*d - 15 = -3*j. Let g(c) = -c**3 + 4*c**2 + 3*c - 4. What is g(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0101546 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 358 + 351. Solve 30 = -3*j - h*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110.0206 + -110. What is d rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/12)\/((-2)\/(-183)). Let m(t) = -10*t - 62*t**3 + 130*t**3 - n*t**3 + 3*t. Let r(h) = -13*h**3 + 13*h. What is -11*m(g) - 6*r(g)?\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 53*y + 152. Let b be k(-50). Solve -b*u - w + 7 = 0, u + 0*w - 8 = -2*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 0*i**2 - i**2 - 31*i + 27*i.\nAnswer: 3*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 7 - 6)*(-7*d + 3*d + 2*d).\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*x + 10*i - 10927, 3*x - 4*i - 16433 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:44 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 3.2. Let d = 2 - k. What is the third biggest value in -0.5, d, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 + 18. What is m(-5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/14 + 14\/49. Suppose 0 = -j*i - i. Suppose -b = -5*p + 78, b = 2 - i. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180771.3 times -6?\nAnswer: 1084627.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = k + 4*v, 5*k = -0*k - 4*v - 13. Let c be k*(1 + (0 - 1)). Let r = -74 + 71. Sort r, c, -2 in ascending order.\nAnswer: r, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1382*t + f = 1378*t + 2, -4*t - 2*f = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 - 5*g + 1. Let i be v(3). Let r(m) = -m**3 + m**2 - 2. Let y be r(i). Suppose -3*w + 409 = y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34948908 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367.3 - 384. Let p = -59 + 42. Let r = p - u. Put r, -3, -0.1 in descending order.\nAnswer: -0.1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1377) + (sqrt(1377) - sqrt(1377)*1)**2 + sqrt(1377)) + sqrt(1377)*2 + -3.\nAnswer: -3 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 5*t = -i - 5, 0 = 4*t - 21*i + 97 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108275\/107276 - -5\/16504. Find the common denominator of k and 53\/18.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 9*s + 1. Let t(i) = 998*i**2 + 8*i - 1. Determine t(o) + v(o).\nAnswer: 997*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*h - 6*h + 16, 13 = 4*h + 3*q. Suppose -7*x + 9 = -h*x. Suppose -2*j + 96 = x*b - 7*j, 0 = 2*j - 6. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 4*i - 21. Let o be g(-11). Find the third derivative of -209*k**3 + 75*k**5 - 14*k**2 + 209*k**3 + o*k**2 wrt k.\nAnswer: 4500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 - 126. Let z(i) = -2*i**2 + 39*i - 49. Calculate the remainder when z(k) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -53.9983. Let t = 0.0417 - q. What is the biggest value in t, 1\/4, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12496299 to the nearest integer?\nAnswer: 3535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 1 (b) 0.28 (c) 1\/20 (d) -4 (e) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*f + 91*f - 7106. What is the highest common factor of f and 308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 1. Let p(u) = 3*u - 6. Let m(s) = -p(s) + 5*y(s). Let w(f) = f**3 - 12*f**2 - 14*f + 11. Let r be w(13). What is m(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1. Let g(p) = -19*p - 76. Let u(i) = 76*d(i) - g(i). Let r(l) be the first derivative of -3*l**2\/2 - 7. What is u(r(y))?\nAnswer: -57*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.34*-200.8.\nAnswer: -5289.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120.3 + -111.3. Which is the nearest to x? (a) 6 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 9. Let q be w(-9). Sort q, 3, -3.\nAnswer: -3, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/(-198)*(-1)\/(((-100)\/56)\/(-5)).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7493 divided by -89\nAnswer: 7493\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 47604\/5 + 10 + 245\/(-25) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 2*x - 4*h = -8, x - 2*h = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 28 = -178. Let x(v) be the first derivative of v**2\/2 + 3*v - 1. Determine x(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 183, 279, 377?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 555187960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*y - 4*y - 5*m, 0 = 3*y + 3*m - 3. Let b = -8 + y. Let v be (-2 + 0)*12\/b. Solve 2 = -3*l + 4*w - 3*w, 5 = -2*l - v*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 125*f + 31. Is a(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 + -126 - (-2 + 0 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 4*v + 3. Let z be (3 - -7)*((-66)\/(-12))\/11. Give q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(-2\/5)\/((f*f**(-1\/7))\/f**5))\/((f**(-3)*f*(f*f**(2\/19))\/f)\/(f\/(f\/(f\/((f**(-2\/7)\/f)\/f)))*f)**15) assuming f is positive.\nAnswer: f**(47297\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodotoaxacaodd. Give prob of sequence dad.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26522434?\nAnswer: 2, 61, 217397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-6215)\/7755)\/113?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(10*325\/(-25)))\/(40\/(-25))?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 102*w - 930. Let f(k) = 2*k**2 - 101*k + 933. Let r(i) = -2*f(i) - 3*o(i). Factor r(z).\nAnswer: -4*(z - 7)*(z + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35051 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0622171 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 10*d = 0, 0 = 4*l - 4*d - 520. What is the remainder when l is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 g when four letters picked without replacement from {g: 8, z: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -1 + 0 + (-1375 - -1394).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*l + 25*l + 25*l + 15*l - 74*l + 19*l + 14*l.\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppcc when four letters picked without replacement from {p: 9, c: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from annnanaannnnnnnnnnn. What is prob of picking 4 a?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2299) - -2*sqrt(2299)))**2*-6 - (-5*sqrt(19)*-1 - sqrt(57)\/(sqrt(9)\/sqrt(3)))*-2.\nAnswer: -1986336 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 2) + (2 - -8) + -12 + -8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -8 + -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 3:15 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:32 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317 and 2949?\nAnswer: -934833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b (base 15) in base 9?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 662440\nAnswer: -3\/331220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1453825 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -d - 3*d + p, 917*p - 931*p = -14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -52632?\nAnswer: -52632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3562018 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*d**5 - 6*d**3 + 2556*d**2 wrt d.\nAnswer: -780*d**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 33.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1473)\/(-12))\/(2\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from woaiiioiaiffawi?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -97\/13, 4944, 4?\nAnswer: -97\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4450335 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2. Let i be r(1). Let k(y) = -2 - i*y - y + 4*y. Let s = -92 + 89. Determine k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(121)*1 + sqrt(121))*4)\/(sqrt(11) + sqrt(22)\/sqrt(2)*4) + (-2*(sqrt(22) - sqrt(88)))\/(sqrt(2) - (sqrt(50)*1 - sqrt(2))).\nAnswer: -82*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -22*v**2 - 9*v - 39. Let q be d(-3). Let m = q - -215. Factor -25\/2*h**3 - 35\/2*h - 45\/2*h**2 - 5\/2*h**4 - m.\nAnswer: -5*(h + 1)**3*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 40*v**2. Let c(w) = 36*w. Suppose -16*l = -37*l - 42. Let o(n) = 16*n. Let m(j) = l*c(j) + 5*o(j). What is f(m(z))?\nAnswer: 2560*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 11*q**4 - 53*q**3 + 9*q**4 + 47*q**3 + 7 + 5*q**4 to the form t*q**2 + k + z*q**3 + x*q**4 + j*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p*p**(-1\/3)*p)\/p)**(-1\/16)\/((p\/(p\/((p\/(p*p\/(p**(1\/7)\/p)))\/p)))\/(p\/(p\/(p*p*((p*p**6*p)\/p)\/p))*p)))**(-10) assuming p is positive.\nAnswer: p**(-2455\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-7)\/35)\/((-9)\/15).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:40 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*f + 34, n - 2*f + f = 17. Calculate the highest common factor of n and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**6\/9 - 2*p**5\/15 + p**4\/3 + 4*p**3\/9 - p**2\/3 - 2*p\/3 - 27. Factor l(z).\nAnswer: -2*(z - 1)**2*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24453, -48772, -73091, -97410, -121729, -146048?\n\"Answer: -24319*d - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14468 is divided by 1194?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/7)\/h)\/h**4)**(-23) assuming h is positive.\nAnswer: h**(828\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220745284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 14.22825mg?\nAnswer: 0.00000001422825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*266*6\/12. Suppose -92 = 5*f + p. Let r be f\/(-75) - 114\/(-10). Calculate the greatest common divisor of 48 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 + 25*t**4 + 7523*t**3 + 18689*t**2 + 14919*t + 3726 = 0. What is t?\nAnswer: -54, -1, -1\/2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -35 + 27. Let q be (8\/12)\/(p\/15). Solve q*r = 12 + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*c**2 - 1\/3*c**5 - c**4 + 0 - c**3 + 0*c = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*k - 48 = -415*k + 207*k. Let g(o) = o**3 + 3*o**2 - 3*o - 1. Calculate g(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r**21*r*r*r))))\/r**0 assuming r is positive.\nAnswer: r**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 341571\/22 + -15527. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(84) - sqrt(84))*5 + 6*sqrt(84)*-2)\/(sqrt(12) + (sqrt(12) - -3*sqrt(24)\/sqrt(2)) + sqrt(12) - ((sqrt(192)*-1 - sqrt(192)) + sqrt(192))))**2.\nAnswer: 5103\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1. Let k(n) = -n**2 - 19*n - 2. Calculate k(a) + p(a).\nAnswer: -a**2 - 19*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(4 + 0 - 1)*(2*p + 0*p - 3*p)*(28372*p**2 + 78*p**3 - 28372*p**2) as d + u*p**2 + z*p + o*p**3 + a*p**4 and give a.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15779243891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 114*q + 10747. Determine h(-89).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255809 = 822*d + 139907 for d.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 223 = 15*d + 41. Calculate the highest common divisor of d and 9296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2070 or -3?\nAnswer: -2070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -39.\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 529*f**3 + 33*f**2 - 36*f + 28. Let d be t(22). What is d rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101000 (base 2) to base 6.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -684*t**6 + 5247*t**4 - t**2 + 575588*t?\nAnswer: -82080*t**3 + 125928*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8881660 to the nearest integer?\nAnswer: 2980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*k = 688*k + 678*k + 5940 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983764 is divided by 1374.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * 15.402\nAnswer: -24.6432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16149, 32295, 48441, 64587?\n\"Answer: 16146*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 68072904?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 58585436?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 3*x**2 + 4*x - 2. Let i be t(-4). Let h = i - -5. Solve 0 = -2*j - 5*p - 24, -3 = -h*j + 3*p + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 5. What is w(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(153)\/(sqrt(36)\/sqrt(4)) - sqrt(17)) + 0)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 3*f + 7. Suppose 6*l - 15 = 3. Let g be -9*(-1 - l\/(-9)). Calculate b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 4*x**3 - 5*x**2 - 8*x**3 - 2 - 238*x**3 - 56289 + 56289 + (-4*x + 0*x + 6*x)*(0 - 3*x**2 + 0) as j*x**3 + w*x**2 + r + v*x and give j.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/17308?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + 20 + -9 + 12 + -1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-36))\/(252\/(-108)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.16 - -0.16. Let u = c + 14.00000019. Round u to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 2*l - 5, 4*g - 2*l - 4 = 0. Let y = 7.3 + -7. Which is the third biggest value? (a) y (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4\/2 + 343*m**3\/2 - 345*m**2 = 0?\nAnswer: -345, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 6. Let j be w(-9). Let y(k) be the first derivative of 7 + 2*k**3 - 3*k - 3*k**3 + 0*k**j - 3*k**2. Factor y(a).\nAnswer: -3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/3)\/(-2))\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893268.\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/3 + 14*t**3\/3 + 12*t**2 - 77*t - 2. Let r(w) = 0. What is w?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4656.58 + -0.1?\nAnswer: -4656.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 6*r**2 - 7*r. Let s be t(-4). List the prime factors of (s\/6)\/((-8)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 + 18*y - 6. Let i be l(7). Let c = i - -27. Suppose c = -p - 7 + 7. Solve 0 = -5*x, p*s + 4*s - 12 = -3*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*s**2 + 3*s + 34597 wrt s?\nAnswer: 210*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -178 - 147. Suppose 0 = s*u - 62*u + 204. Which is greater: -70 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1127097 + -1515.\nAnswer: -1128612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(448)))**2*4 - (2*1*3*sqrt(175))**2.\nAnswer: 2048*sqrt(7) + 22628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -0.1411, -0.1 in ascending order.\nAnswer: -6\/11, -0.1411, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -4789?\nAnswer: -4788.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - -4 - 18\/(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*a**5 - 23*a**2 - 5*a**3 + 5*a**3 + 0*a**5 wrt a.\nAnswer: 780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*l + 7. Put -3, l, -9 in ascending order.\nAnswer: -9, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/18 + 350\/6. Suppose -4*k + 1 + 15 = 0. Suppose -a + 50 = -q, g = k*a - 5*q - 143. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305 or 1527\/5?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = v - 43, -3*c - 61 = -2*v + 7*v. Let p = 25 + c. Solve 14*o = p*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/170092 and 79\/26.\nAnswer: 170092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-18) - (-4928)\/126. Let g be 403\/a + 2\/(-6). Suppose 10 - 3*h**3 - g + 3*h - h**4 - 3*h**2 + 4*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*w**4 + 104*w**2 + 17211775 with respect to w.\nAnswer: -376*w**3 + 208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422778.\nAnswer: 2, 1211389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 1. Suppose -5*b - 3*k = -18, 5*b - 5*k = -0*k + 10. Sort -3\/4, n, b.\nAnswer: -3\/4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 - l - 1. Let f(r) = 5*r**3 - r**2 + 2*r + 5. Let b(h) = f(h) + 3*j(h). Calculate b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 6*f + 7. Let l be x(4). Which is smaller: -9\/4 or l?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 - 7*t. Let s(q) = -9*q**3 + 66*q**2 - 251*q - 306. Let v(p) = -2*c(p) + s(p). Factor v(n).\nAnswer: -3*(n - 17)*(n - 6)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 9 + -14 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.984 - -0.016. Sort y, 0.3, 4.\nAnswer: 0.3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-16) + ((-20)\/16 - -2). Let f = 5 - 7. Let x = -6 - -6.2. What is the nearest to f in j, x, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, 3 in descending order.\nAnswer: 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -63673?\nAnswer: 30\/63673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26278 - -0.202741. Let x = 23 + -23.06. Let k = x - g. What is k rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3 - 738\/27)*-27. Is 9 a factor of (-6)\/(-4) - t\/(-6)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80*(3435\/(-150) - -23). Let l(y) = -30*y - 8. Let b(i) = 20*i + 5. Let s be (-40)\/(-16)*(-1 - -3). Determine q*b(j) + s*l(j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:31 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5*y**3\/9 + 40*y**2\/3 + 25*y + 50. Find b such that u(b) = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 + 3*j - 2. Let s(w) = w**2 + w - 1. Let z be s(-2). Let d be y(z). Put -1, d, 1 in ascending order.\nAnswer: d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154817, -1, 13 in decreasing order.\nAnswer: 154817, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*i = -17, 2*w - 81*i + 16 = -85*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - 2) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 236, 237, 238, 239?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 773.7 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6555 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x - 1697785 = -5423248. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 25*d**2 - 27*d - 38. Let m be i(-26). What is the units digit of 154 + 0\/(m\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + -2*sqrt(245) - ((sqrt(245) + 3)*4)**2))*-3.\nAnswer: 2058*sqrt(5) + 12174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 + z - 2. Let v = 60 - 62. Determine l(v).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/54 and 285\/(-228)*(8108\/(-7380) + 1).\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -1056, -2104, -3328, -4728, -6304, -8056?\nAnswer: -9984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -a - 2*a - 13, -n + 1 = 0. Let q = -2 + a. Let h(o) = -o - 11. Give h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*g**2*w + 1076*g*w - 417*w + 1745 with respect to g.\nAnswer: 258*g*w + 1076*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14416894 divided by 463?\nAnswer: -31138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-95)\/(-4))\/(93\/68076)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20663 (base 7) to base 4\nAnswer: 1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5 + 36*r**4 + 108*r**3 + 124*r**2 + 48*r.\nAnswer: 4*r*(r + 1)**2*(r + 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71359 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 6 + 99009*r + 99017*r - 198021*r. Give b(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455311 - 301070844.\nAnswer: -301526155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1 + 0)**2 - sqrt(605)*1*4.\nAnswer: -44*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1886 - 116. Round h to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039721 rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 22385.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 7*m**2 + 6*m - 5. Let s be (-30)\/(-9)*-6*1. Let y = -28 - s. Calculate the remainder when 32 is divided by x(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 58560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3015)\/(-25))\/(7\/490)?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 393922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b**2. Let r = -3924 + 3922. Let w(j) = j**2. Calculate r*u(z) - 24*w(z).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**5\/5 - 11*k**4 - 563*k**3\/3 - 860*k**2 - 1200*k + 1083. Factor w(r).\nAnswer: -(r + 1)*(r + 3)*(r + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 31*y**2 + 10*y**2 + 3*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 761, 4, -1\/8, -6, -1\/4, -3 in decreasing order.\nAnswer: 761, 4, -1\/8, -1\/4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - -3 - (-396)\/(-55). Suppose b - 22 = 4*k, 4*b + 0 = 3*k + 23. Suppose -4*h + h + 14 = -b*w, -5*w = -4*h + 21. Is w at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1014 - -1?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 38*o - 187*o + 43*o + 39*o + 8*o**2 + 47*o. Let a(b) = 2*b**2. Determine l(a(n)).\nAnswer: 32*n**4 - 40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.86 - -0.14. Let u = 122.6 + -123. Which is the biggest value? (a) j (b) u (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*-2*60\/16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42806 - -42786.579. Let d = -0.021 - g. Let y = d - 19. Which is the biggest value? (a) -0.3 (b) y (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2769670 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-11 - 2 + 1)*(5*z - 20 + 20)*(-2*z**2 + z**2 + 0*z**2 - 2*z).\nAnswer: 120*z**3 + 240*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -711, -2895, -6537, -11637, -18195, -26211, -35685?\n\"Answer: -729*k**2 + 3*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -249*n - 1537. Calculate q(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 93*x**4 + 2*x**2 - 3 - 9198*x + 9200*x - 4 + 0 to the form j*x**3 + v*x**2 + n*x**4 + i + b*x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 7886 = 5*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q = -23*q - 3*q - 88 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -346 - -506. Suppose -3*c - 7*c = -x. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-7)\/28*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148394064\/477 - 1\/(-3 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {h: 7, p: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/5*k**3 - 8\/5*k - 6\/5*k**2 = 0. What is k?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269542 divided by -1.\nAnswer: -269542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -p - 19, 0*p + 7 = -2*n - p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*b - k, -67*b - 4*k - 23 = -72*b. Solve 5*a + b*u = 35, -7*u + 2*u + 45 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 128.06. Let l = 2.06 + v. What is the third biggest value in -5, l, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 976380609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/25*-1 + 22\/10. Suppose 1688 = 5*d - 4*h, -47 = -w*d - h + 623. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let m = -3.07 - -0.07. Let w = 0.0005 + 0.0395. Which is the nearest to h? (a) m (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - j)*(4*j**2 - 3*j**2 + j**2)*(-25*j**2 + 280*j - 280*j).\nAnswer: 50*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356 is divided by 472?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14073014 is divided by 265528.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -25. Let r = -0.1784 - 0.2216. Which is the fourth biggest value? (a) r (b) 1 (c) y (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 271185728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2340 divided by 4.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -87, 1517906, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034371296 to 4 dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10142*p**3*r**2 + 8*p**3 + 399*p**2 + 2793*p*r - 5002*p + 2 wrt r.\nAnswer: -20284*p**3*r + 2793*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -81792.0075.\nAnswer: -81792.4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 4699 = -5*u, -4*p + 4705 = u. What is the remainder when p is divided by 291?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -17, -67, -135, -227?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1*(673 + -3). Suppose 3*z + p = 2*v, 4*z + 747 - 75 = 2*v. Suppose 3*s = g + 4*g + 224, 0 = 5*s + 2*g - v. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*d + 8*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22324979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*(-27)\/5346 + (-2)\/(-2)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from bptjjqk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3.6. Let y = -4.4 + o. Which is the nearest to 3? (a) -0.1 (b) y (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 2918.\nAnswer: -17\/2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 6) to base 7\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5663647 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102011200120 + 112212?\nAnswer: -102011010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:06 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694055 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**3 - 7*s**2 - 8*s - 3. Let u(a) = -6*a**3 - 7*a**2 - 9*a - 4. Let t(d) = 4*u(d) - 5*z(d). Calculate t(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 875.6693nm?\nAnswer: 0.0000008756693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 94*j + 13. What is a(7)?\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 23. Let t be m(11). Calculate the remainder when 154 is divided by (-11 - -12)\/(t\/39).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160 + 165. Solve 4*z - i = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 180\/8*12\/10. Let p = f + -20. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 + 2*f**2 - 4. Let i(h) = 3*h**3 + 3*h**2 - 3. Let o(u) = 4*i(u) - 3*y(u). Factor o(z).\nAnswer: 3*z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818*w + 829*w - 49775 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*v = -2*q - 10, 0 = 4*v + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5))**35*(y**(-1))**9)**(-2\/5) assuming y is positive.\nAnswer: y**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2 - 23. Let i(p) = -13*p**3 - 5*p**2 + 6*p - 1. Let l(x) = -12*x**3 - 4*x**2 + 5*x - 1. Let v(w) = q*i(w) - 6*l(w). What is v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/(1\/2). Let r be -11 - (1 + -13) - (0 + -2). Differentiate 1 - 6*a**r + 1 + x + 0 wrt a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -706 - -700. Let a(h) = -2*h**2 - 7*h + 12. Determine a(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 55, 0, 3 in decreasing order.\nAnswer: 55, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161401425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -25*v**9\/42 - v**5\/12 - 13*v**3\/6 - 151*v**2 + 3. Find the third derivative of s(x) wrt x.\nAnswer: -36000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -688 + 1211898.71.\nAnswer: 1211210.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44, -65, -78, -83?\n\"Answer: 4*i**2 - 33*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 20*o + 14 = 0. Calculate the remainder when (o*99)\/(-19 + 21) is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.23 and -0.5863176096?\nAnswer: 0.8163176096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 + 37 = 0. Solve -7 + 32 = l*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1106 and 948?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*i**1*i)))**(-2\/49)\/(i*i**0)**(-1\/12) assuming i is positive.\nAnswer: i**(1\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195078767*a**2 + 2*a + 528923631.\nAnswer: 390157534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 2*i - 4, -31 = 3*d + 5*i. Let r be 5 - (-3 - d - -3). Suppose -44*k + 37 = -51. Solve 0 = -m + r*m + k, 0 = 3*j - 3*m - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 5361. Let x(o) = -5*o. What is k(x(b))?\nAnswer: -5*b - 5361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -14*i**3 - 6. Let v(u) be the third derivative of -u**4\/12 - 15*u**2. Give v(s(d)).\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55017 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 693*k - 68. Let v(u) = -35*u. What is h(v(n))?\nAnswer: -24255*n - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((736\/(-112))\/(18\/21))\/(1\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 19. Calculate the remainder when m(0) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*n**4\/5 - 27*n**3\/5 - 6*n**2\/5.\nAnswer: -3*n**2*(n + 1)*(7*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 - -229.94. Let r = x - -0.06. Let d be 7 - 1947\/275 - (-26)\/(-300). Put r, 6, d in ascending order.\nAnswer: d, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*o - 665, 4*o + 6*z - 4*z = 554. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 858120 + -602521. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = 0, -5*a = -0*a + j - 289. Calculate the remainder when a is divided by (-2)\/3*2*-15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 19*y**2 + 1. Suppose 3*u - 3544 = 4*b, 104*u + 1180 = 105*u - 2*b. Let h(c) = -2*c - u + 1184. Determine f(h(s)).\nAnswer: 76*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.13 - -47.13. Which is the fourth biggest value? (a) -1 (b) -3 (c) s (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 - c**2 + c - 1. Let s be n(1). Suppose 3*h = -1 - s. Is h equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by (6 + -1 + -26 - -8)*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + p + 202 = 0, 0 = -p + 3. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*d - 27, 0 = 2*j - 4*d - 7 - 21. Suppose 1 = -j*p + 9. Suppose p*l = 10 - 2. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkb when three letters picked without replacement from kbkbkbbbbbbhkbbkkkb?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002305 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 225162853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k - r - 1, -5*r = -10. Suppose -15 = -3*a + 2*a - 5*z, -9 = -a - 2*z. Find the third derivative of 27*q**a + q**2 - 4*q**k - 29*q**5 wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/9)\/(-3 + 2). Is z bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 113.8483ml?\nAnswer: 0.1138483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + m = -474, -3*w - 3*m + 133 + 215 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 153103227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 236122979699\/29260 + -112977651\/14. Let r = c - -1\/8360. Let x = -52 - -27. What is the common denominator of r and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + 5*c)*(0 - 2 + 0 + (-4 + 1 + 1)*(5 - 2 - 4) - 2 + 2 - 1 + 4 - 1 - 5 - 1 + 0 + 0).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 4 + 0*u + 1\/2*u**2. Let r(l) = -11 + 3*l - 13 + 24. Calculate m(r(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304551, 610484, 916419, 1222356?\nAnswer: 1528295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 14 = -2*z - 4*d, -4*z - 3*d = 5. Let n be (1 + z)\/((-2)\/4). What is the third derivative of 3*k**2 + 2*k - n*k + 2*k**4 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 0*g)*(-2 + 2 - 1) + 2*g - 5*g - 4*g + (-4 - 2 + 31)*(2*g + 0*g + 0*g)*(-13 + 6 + 6)*(-2 - 2 + 3 - 3 + 0 + 0 + (-3 + 2 + 2)*(-1 - 1 + 4)).\nAnswer: 94*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4370829, 8741656, 13112485, 17483316, 21854149, 26224984?\n\"Answer: b**2 + 4370824*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + 5 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*m - 174 = 132 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -273 + 285. Solve -f = -13*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 93 + 43 = 0. Suppose 2*a = 20 + m. Let h = a + -16. Solve -h = 5*r - s, r - 5 = s - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1573*s**2 - 2*s + 2. Let b(n) = 1574*n**2 - 3*n + 3. What is -2*b(q) + 3*r(q)?\nAnswer: 1571*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802188046 to the nearest integer?\nAnswer: 42452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193 or -186?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let w = -17 - -18. Solve -5*y - w = 4*f, y - s*f = -2*y + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by 48\nAnswer: -29\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = 23. Suppose 0*f - 4*f + d = 5, -4*d - 6 = -3*f. Let i be -8 + (-5 - f - -5). Is u smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 17.2. Let b = 0.06 - -0.34. Is s bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -47634?\nAnswer: 47649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**2 + 61*p - 5545. What is the units digit of i(62)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -733*k + 304*k + 904*k + 887*k as g*k + y and give g.\nAnswer: 1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 3. Let w(i) = 5*i - 5. Let a(l) = -4*l + 4. Let o(s) = 6*a(s) + 5*w(s). Give -j(r) + 3*o(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/20, 0.5, 0.1, -3\/5, 3\/2 in descending order.\nAnswer: 3\/2, 0.5, 0.1, -3\/20, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5347.\nAnswer: 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*d - 3718 = 0, 4*d - 745 = -n + 3*d. Let k = n + -203. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 24 - 0. Let q = g + -13. What is the smallest common multiple of (4 + 14)*q\/(-3) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-18))\/(7\/21). Let m = 5\/33 + d. What is the closest to 0.1 in m, -0.5, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 2*h**5\/5 + 3*h**4\/2 - 806*h + 647. Differentiate q(a) wrt a.\nAnswer: 8*a**3 + 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from ebenbbnzbnbzrzbpez.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 + 32*u**4 + 24*u**3 - 32*u**2 - 28*u.\nAnswer: 4*u*(u - 1)*(u + 1)**2*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 7*k + 2. Let f be l(-8). Let u(z) = -9*z**2 + f*z**2 + 5*z - 5*z. Let t(g) be the second derivative of g**4\/6 + g. Give t(u(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 12 - 4. Suppose -a = 2*d + 2*a - 117, -d = z*a - 59. Let b = -34 + d. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 4) + (4 - (-6 - -8)) - 12?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10001111100011010?\nAnswer: -10001111100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*d + 3*t, -3*t = 5*d - 3 - 32. Solve -d*u + 20 = -3*w, 0*w - 26 = -3*u + 5*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c**4 - 63782*c**3 + 16*c**2 + 17860 wrt c?\nAnswer: 264*c - 382692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.9 - -29. What is the biggest value in -25, 3\/2, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-2 - 4 + 4)*(-9*i - 6*i + 34*i).\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85703179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1 - (4 + -5). Let q = t - 2. Let l be (3 + q)\/(1\/6). Solve -r = -l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 11*c + 2. Let u be j(11). Find the third derivative of x**2 - 4*x**5 + u*x**2 + 4*x**5 + 3*x**5 wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(10\/7)\/(g\/(g*g*(((g\/((((g**(-9\/5)*g)\/g)\/g)\/g))\/g)\/g)\/g*g*g)))**(-5\/12))**(1\/18) assuming g is positive.\nAnswer: g**(-109\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -16117?\nAnswer: 16113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = p + 67, 0*p + 79 = -p + u. Let f = p - -127. Suppose 3*q + 248 = 7*q - 4*g, -q + f = 5*g. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3*w + 2 + 1\/9*w**3 + 0*w**2 - 1\/30*w**5 + 1\/45*w**6 - 1\/18*w**4. Let c(p) be the first derivative of v(p). Factor c(g).\nAnswer: 2*g*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 27. Let q(l) = 4*l - 109. Let x(p) = 2*q(p) + 9*v(p). Let b be x(20). Let k(z) = z**3 - 3*z**2 - 5*z + 5. What is the tens digit of k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.15, 0.4, -20, -1, 18.977, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 144 = 3*l. Let u be (-46)\/(-12) + 12\/l. Factor 0 + 4 + 0 - 8*d - u*d**2 + 2*d.\nAnswer: -2*(d + 2)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:47 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12*f + 17*f = -120, 2*h - 4*f = 120. Calculate the greatest common factor of h and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**3 - 5*g**2 - 7*g - 25. Let v be q(-5). Let d = 761 - v. Does 34 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8471 + -8469. What is u in 0 + 0*u**3 + 2\/11*u**4 - 4\/11*u - 6\/11*u**f = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 - 13*t - 2. Let y be (-6)\/(-14) + 78\/14. Let p(w) = 4*w**2 - 14*w - 1. Let z(d) = y*f(d) - 5*p(d). Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 27. Let w be s(-19). Let o(j) = -24 - 8 - w*j + 12. What are the prime factors of o(-5)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = -5*w, 4*w + 4*f - 12 = -0*f. Let l = 30 + -30.5. Which is the nearest to -0.1? (a) l (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623325 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440.561 - -10.7.\nAnswer: -429.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -20 - (0 + -1 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323216378 to the nearest integer?\nAnswer: 17978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291425, 582673, 873919, 1165163, 1456405, 1747645?\nAnswer: 2038883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 + 6*r - 4. Let w = 5 + -3. Let g(a) = a**2 + 0*a**w - 1 + 0 + 0 + a. Calculate -5*g(x) + k(x).\nAnswer: 2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227050, 908199, 2043444, 3632785, 5676222, 8173755?\nAnswer: 11125384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhmymyhmumb. What is prob of picking 1 u, 1 y, and 2 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3305466 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -2*t**7\/735 - 29*t**6\/210 + 94*t**5\/105 - 32*t**4\/21 - 813*t**2. Determine n so that d(n) = 0.\nAnswer: -32, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357 divided by -99677.\nAnswer: 357\/99677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (232\/16)\/((-2)\/(-4)). Let b = q + -19. Suppose -3*g + 4*j - b = 0, g - 22 = -0*j - 5*j. What is the remainder when 4 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4)**(-7\/10))**39\/((x**(-9)*x*x**(-8)*x)\/(x**(-5)\/x*x**(-1\/7))) assuming x is positive.\nAnswer: x**(-3512\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17583146 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 0, -t + 3*t = 4*x - 40. Calculate the common denominator of -38\/11 and 570\/(-36)*8\/x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -308*z - 4338. Give x(-13).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 14 + 13 = 0. Let q be t\/(-12) + ((-3)\/12 - -3). Solve 4*l - 21 = 5*m, 5*l - q*m + 16 = 38 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + f = 960, -5*f = -2*f. Let i = 4893\/790 - 39\/79. Calculate the common denominator of -1 + t\/(-21) + 0 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-27)\/(-6)*(-20)\/(-6). Let v(u) = -u**2 + 34*u + 43. Is 14 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*d**4 - 2*d**3 - 350*d.\nAnswer: -264*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738 is divided by 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x - 6. Let d(b) = 13*b + 11. Let n(l) = 6*d(l) + 11*z(l). Let q(i) = 18*i. Let w(y) = y. Let m(a) = q(a) - 6*w(a). What is m(n(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12*4*589. Let p = 997 - h. What is the common denominator of (3\/20)\/(6\/p) and -107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 54987.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10\/13)\/w**(2\/29) assuming w is positive.\nAnswer: w**(-316\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58\/15*g - 2\/15*g**3 - 28\/15 - 32\/15*g**2.\nAnswer: -2*(g + 1)**2*(g + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -35.9. Let h = -0.23 - -2.13. Let x = h - 2. What is the closest to 1 in f, x, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 4:44 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*4*-3*-3*sqrt(11)*2.\nAnswer: -144*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/6080 and 67\/157472?\nAnswer: 1574720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - f - 1, 0 = -5*x + 4*f + 129 - 139 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/418 and -83\/2.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 9*l + 4. Let z be s(10). Let g(x) = x**2 + 5*x - 13. Give g(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 - 32*y**2 - 32*y**2 - 69*y**2.\nAnswer: -146*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7476 and 2848?\nAnswer: 59808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -6. Let t(a) = -5 + 1 - 6*a + a**2 - a - 2*a**2. Give t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28329 - -0.02\nAnswer: 28329.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 0, -5, 2 in descending order.\nAnswer: 4, 2, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 2*x + 119 - 71 + 134.\nAnswer: -6*x + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + aa?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrfvs. Give prob of sequence rsf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from aonnannaoooaoooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3615 = 8*t + 8451, 8 = -4*t. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -891, -3580, -8079, -14400, -22555, -32556?\n\"Answer: -2*s**3 - 893*s**2 + 4*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 77*q**2 + 169*q - 1149. What is the least common multiple of z(76) and 6?\nAnswer: 11838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15821*p - 189867. Calculate k(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*v - 8*v. Suppose -s - 2*s + 5*n + 24 = 0, -n - 62 = -5*s. Put s, 2, v, 0 in increasing order.\nAnswer: v, 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 183*g - 576 = 0. Calculate g.\nAnswer: -64, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6*m + 4*m + 152 = 0, 2*m - 4 = 0. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffviiiiif. What is prob of picking 1 v and 1 i?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*v + v. Suppose 0*r + v = 4*r. Let b be (9\/12)\/(3\/16). Calculate the greatest common factor of b and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65320 - 477.\nAnswer: 64843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71844 by 20.\nAnswer: 17961\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**2 + 0*u**2)*(2*u + 0 + 0) + u**3 + 11*u**3 + u**3 + (0 + 4 - 2)*(-2*u**3 + 4*u**3 + 0*u**3) + 2*u**3 - 3*u**3 - 3*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 11 in decreasing order.\nAnswer: 11, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 13*j + 16. Let w be i(14). Let s(h) = -3*h - 3*h + 4*h**2 + h + 3. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**7\/105 + o**6\/25 - o**5\/25 - o**4\/15 + o**3\/5 - o**2\/5 + 34*o. Solve h(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - -2c?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/309169 and 13\/86811.\nAnswer: 17622633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -8. Let f be (-1)\/z + 7\/(2548\/(-180)). What is the smallest value in 3.3, f, 1, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by -6?\nAnswer: 152\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 7. Suppose 3*a = -5*v + 2*a - 8, -2*v - 4*a = 14. Let m(i) = -i. Let c(l) = v*d(l) - 5*m(l). Differentiate c(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:09 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 9:01 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 3*g - 4*g)*(4 + g - 4)*(4 - 4 + 3)*(0 + 0 + g**2 + (5 - 3 - 3)*(1 - 1 + 2*g**2)) to the form x + d*g**2 + b*g + v*g**4 + a*g**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -584 - 22628?\nAnswer: -23323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5382.349 + 104.249. Round m to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in days?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s + 17. Let j be l(7). Let f = j + -13. What is the least common multiple of 5 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 423.4 * -40.3.\nAnswer: -17063.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1356, -1359, -1362, -1365, -1368?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -20?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175 - 206 + 177)*(-6*z + 6 - 6).\nAnswer: 1224*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-21) - 274103\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -138?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94604310 to the nearest integer?\nAnswer: 9726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011010011011101 + -1110001?\nAnswer: 1000011010001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 2*v + 3, -d + 9 = 2*v. Let k = 29.49 + -31.49. What is the third biggest value in k, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -444, -344, -226, -102, 16?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33975*m - z + 24 = 33980*m + z, -2*m = -z - 15 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8024, 8032, 8042, 8054?\n\"Answer: j**2 + 5*j + 8018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 919 - 929. Let y(i) = -30*i - 297. Let t be y(b). Suppose -6\/11*x + 8\/11*x**t - 4\/11 + 0*x**4 - 2\/11*x**5 + 4\/11*x**2 = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -17*g**3 + 9*g**2 - 9*g. Suppose 13*h - 36 - 81 = 0. Let r(k) = -8*k**3 + 4*k**2 - 4*k. Let l(m) = m**2 - 4. Let u be l(0). What is h*r(a) + u*n(a)?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/192 and 125\/4577568.\nAnswer: 9155136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-249)\/(-1162)*188\/141\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 52618986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - 4 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u - 268. Let n(j) = -6*j. Calculate l(r) - 2*n(r).\nAnswer: r - 268","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = -3*y - 3*l, l - 4*l + 589 = -4*y. Let o = y + 527. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w - 8. Let v(r) = 24*r + 14. Let s(k) = -11*f(k) - 6*v(k). Let p(z) = -5*z - z**2 - 4*z + 5 + 4*z + 4*z. Determine 4*p(g) - 5*s(g).\nAnswer: -4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/20 + (-72)\/(-20). Suppose -b*f + 9*f = 110. What is the smallest common multiple of f and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*p + 9, -3*p = 2*p - 5*l - 30. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89155 by -5.\nAnswer: 17831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 2*i + 0*i)*(-2*i - 3*i + 0*i) as x*i + z*i**2 + h and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 9, -1864 in descending order.\nAnswer: 9, 0, -3, -1864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 33. Let f = 33 + -38. Which is the fourth biggest value? (a) 0.14 (b) f (c) u (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31149313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-390))\/(14\/4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1. Let u(x) = -5. Let y(d) = -6*n(d) + u(d). Let g(m) = -m - 10. Calculate 2*g(v) + 22*y(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 21. Let p be (-12)\/u + (-2)\/(-8). Suppose 3*r - 13 = -5*k, -3*r = -3*k - p + 4. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4910002\/599 - 8197. Let w = -31739\/4792 + r. Let f = 10017 - 120323\/12. Calculate the common denominator of f and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from yjxbjxxyaxjxjxr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -79. What is the remainder when 17 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -50\/399, 6 in descending order.\nAnswer: 6, 1\/11, -50\/399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*o**3 + 68*d**2*o + 2*d**2 - 815*o**3 - 11*o + 2 wrt o?\nAnswer: 12*d**2*o - 4890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/20 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - u + 8 = 3*w - 2, u + 320 = 107*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x - 5*x)*(-1 + 3 - 1 + (-2 - 3 + 6)*(4 - 2 - 5)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6092608 litres in millilitres?\nAnswer: 609.2608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 983950 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**3*s**4 - 2*j**3*s - 491*j*s**4 - 2*j*s - 7*s wrt s.\nAnswer: 48*j**3*s**2 - 5892*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 8*x**2 - 9*x + 3. Let g be i(-9). Let j(k) = -k**3 + 3*k**2 + 2*k. What is j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 554, 1100, 1646, 2192?\n\"Answer: 546*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1248441797*a**3 - 24712*a**2 + 50*a + 67 wrt a.\nAnswer: -7490650782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*l + 7. Suppose -l*y + 2*z = -5*y, -5*z = -5*y + 25. Solve -3*g - y*a = -9, -2*g + 8 = 2*a + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/10*7\/(1715\/28)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:15 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.724771 years to millennia.\nAnswer: 0.005724771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**2 - 6*y**2 - 17*y**4 + ((2 + 1 - 1)*(-3*y**2 + 5*y**2 - y**2) + 2 - 2 + y**2)*(0*y**2 - 2*y**2 + 0*y**2).\nAnswer: -23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.5331 decades?\nAnswer: 75.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.268 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/4 (b) 2\/7 (c) 79 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 49*q - 10. Let z(d) be the third derivative of -d**5\/30 - 630*d**2. Give z(h(a)).\nAnswer: -4802*a**2 + 1960*a - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 - 71. Suppose 3*t - t = l. Let i = t - -12. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(6 + 171\/(-27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 23, 57, 89, 119, 147, 173?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1995 and 5510?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -221054.\nAnswer: -18\/110527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 divided by 1?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 + 6 + -33 + (536 - 529)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7183 - -7182.90518. Round g to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2769.08 millilitres?\nAnswer: 2.76908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1883\/14 - 37)*2\/15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(6*sqrt(68)*1)**2*-4 + (((sqrt(68) + 1 + sqrt(68))*2 + -1*sqrt(68)*1)*2)**2.\nAnswer: -26915 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(6\/9 + -1). Suppose -319 = -4*t + o - 6*o, -3*o + 313 = 4*t. Suppose -t = 4*w - 8*w - 4*p, 44 = a*w + 4*p. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6094 - 3060. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 98\/28*(17\/14 + -1). Put -2\/9, j, -5, -3 in descending order.\nAnswer: j, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r + 3*c + 21 = 0, 2*c - 26 = -4*r. Suppose -5*j = r - 1. Let t(q) = 10*q**3 + q**2 + 2*q + 1. Determine t(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 4. Let p(r) be the first derivative of -2 - 7\/2*r**2 - 17*r. Let m(u) = -2*p(u) + 9*t(u). Differentiate m(o) with respect to o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17233 - -7?\nAnswer: -17226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25290 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqsahsaahyhhh. What is prob of picking 1 s, 1 y, and 1 a?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -5\/2*v**2 + 1\/20*v**5 + 0 - 3\/4*v**4 + 1\/2*v**3 + 12*v. What is the units digit of i(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2874885529.00000054 + 2874885584. Let j = 55.094 - 0.094. Let q = t - j. What is q rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36122514?\nAnswer: 2, 3, 59, 67, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 35*t + 51 + 42*t - 57.\nAnswer: -t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79029 - 79029.064977. Let t = k + 0.065. What is t rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -538 - -763. Solve -30*r + 12*r**4 - 20*r - v*r**3 + 8*r**4 + 255*r**2 = 0.\nAnswer: 0, 1\/4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(2*c**4 - 2*c**4 - 3*c**4)*(-27*c + 2*c - 34*c).\nAnswer: -354*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-3) - -7)*-1. What are the prime factors of (-34)\/(-2)*(o + 6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/193 or 0?\nAnswer: -5\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 6*c - 12*c - 7*c**2 + c**3 - 6*c - 13*c wrt c.\nAnswer: 6*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*s**3 - 2*s - 56*s**3 + 164*s**3 + s**2 in the form x*s + k*s**3 + g + n*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 0*o + 6*o - 10*o**2 + 20*o**2 - 13. What are the prime factors of a(6)?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0734 and -2.73?\nAnswer: 2.6566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5612 - -8319. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.047 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 55*g**2 + 18 - 7*g**2.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112330 (base 7) to base 3.\nAnswer: -20222220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -41 + 102*z - 96*z + 19*z**2 - 40. Is g(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 5*v**3 - 2*v**3)*(0 + 0 + 2*v)*(5 - 3 - 3).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = -39. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10747 is divided by 2518?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*a*c**4 + 1205*a*c**3 + a*c**2 - 11*a*c + a - 134*c**2 - 4 wrt c.\nAnswer: 13776*a*c + 7230*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 770. Let d(x) = x - 330. Let z(j) = 3*c(j) + 7*d(j). Let b(k) = -45 - 70 - 3*k - 6 - 13. Determine z(b(v)).\nAnswer: -3*v - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/3 - -4. Let y(i) be the second derivative of 0*i**2 + 2*i - j*i**3 + 0. Let u(d) = -4*d. Determine u(y(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2975360459.0089 - 2975201580. Let v = i - 158904. Let x = v - -25. Round x to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -8 - (-141 - -155).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 14 = -22*k + 33, -2*d = -3*k - 107 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8505.56g in tonnes?\nAnswer: 0.00850556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 take away 656.53295?\nAnswer: -641.53295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 188832 divided by -3?\nAnswer: -62944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 - -23. Suppose 0 = w - s + 31. Suppose -w = -r + 91. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. What is the smallest value in x, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7984)\/(-2994) + ((-770)\/(-15) - -1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 12. Let r be t(3). Suppose 7*k = 9*k. Suppose k = 5*s - 3*c - 611, r*s - 162 - 195 = -3*c. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -39 + -6 - (39 + 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1565287479 by 417.\nAnswer: -3753687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 times 16441\nAnswer: 10029.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 - 8\/(216\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36 - 6)*(-37)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:55 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from cbdgp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 554367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:03 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137093*-2.\nAnswer: -274186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, -34, -130, -278, -496, -802, -1214?\n\"Answer: -3*f**3 + f**2 - 44*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 206 and 200 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) 16 (d) 15 (e) -5 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b + 490*b**2 - 55 - 981*b**2 + 2100*b**2 wrt b?\nAnswer: 3218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(-12) + (-2)\/6. Let s = 23 - 20. Let w be (16\/(-24))\/((-1)\/s). Sort w, b, 5\/4 in decreasing order.\nAnswer: w, 5\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -95. Let z = 85 + b. Solve -4*j + 5*u + 25 = 0, 2*u + 5 = z*j + u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*198*203\/(124236\/272).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + y - 31. Let b be 5\/((-4)\/4) - -5. What is p(b)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -0.03511?\nAnswer: -0.28088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*d**3 + 148*d**3 - 308*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 90 + 128 + 232*t.\nAnswer: 232*t - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*-1 + 29\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -0*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13386, -26769, -40152, -53535?\n\"Answer: -13383*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 623945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30 - (8 - (-17 - 5)). Solve 3*q**2 + 3\/2*q**3 + w + 3\/2*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 d, 1 v, and 1 h when four letters picked without replacement from gvhxdgpgpxxghv?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*s + 2*y, -15*s + 16*s + 3*y - 10 = 0. Put -1, -4, s, 2, 92 in increasing order.\nAnswer: s, -4, -1, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -34, 9 in ascending order.\nAnswer: -57, -34, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1*((-160)\/36)\/((-54)\/(-81)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 6. Let u = -1 + 4. Suppose h + 14 = -3*g, 2*g + 15 = -g. Suppose 2*a + u*s = h, -a - 5*s = -0*s - 4. Let q(z) = -z - 1. Give a*l(f) + 6*q(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5357 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 - -128. What is the third derivative of 20 + o*i**3 - 4626*i + i**2 + 5*i**6 + 4626*i wrt i?\nAnswer: 600*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13738034 is divided by 25872.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) 0.16 (d) -0.04 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 10. Is (n\/(-2))\/(6\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 2. Let j be c(-4). Suppose -f + 5 = -2*q, j*q = 5*q + 2*f - 3. What is the tens digit of (3 - (q + 7)) + 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/18 and 143\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:47 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.19359 (b) -0.2 (c) 0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 2*z - 2. Let g(j) = -2*j**2 - j + 1. Let l = -10 + 5. Let a = -15 - -11. Let s(k) = a*d(k) + l*g(k). What is s(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 35*y**3 - 6*y**2 - 15*y + 46. What is c(-3)?\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/117*-13)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 - -1110?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -4. Let w be v + (2 + -2)\/2. Which is the third smallest value? (a) -2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 275 = -5*s. Suppose 16*z + s = 11*z. Let c = -9 - z. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -1d?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 12*f - 1. Let c(q) = q**2 + 4*q. Let o(h) = -8*c(h) + 3*w(h). Determine o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152536 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 59840096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7004 - -7006. Let c(v) be the second derivative of 12*v + 0 + 0*v**3 - 2\/3*v**4 + 4\/5*v**5 + 0*v**b. Find the third derivative of c(w) wrt w.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + (-282 + 259 - (-8 - (9 + -2))).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-3) + (-1320)\/(-72). Let u = 72 - 29. Suppose 41 = 2*t - u. Calculate the greatest common divisor of i and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 30*o**3 - 159*o**2 + 226*o - 195\/2.\nAnswer: (o - 3)*(o - 1)**2*(o + 65)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0*z + 0*z**3 + 16*z**2 + 1\/336*z**8 - 2 + 1\/25*z**6 + 3\/175*z**7 + 7\/150*z**5 + 1\/40*z**4. Find u such that g(u) = 0.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t - 21*t = -24390 + 25971 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 = -c, -4*c + 2 = -6*c. Let d be (h + (-32)\/12)*-3. Suppose 5*j - d*r + 12 - 211 = 0, 5*j - 193 = -r. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361463157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/17)\/v)\/v)\/v*v\/(v*v**(-6))*(v**(2\/5))**7 assuming v is positive.\nAnswer: v**(503\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -80, 48, 0.118?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -78 times -0.0457154\nAnswer: 3.5658012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15\/8 + 21\/8. Let j = 29\/6 - d. Factor j*z - 1\/3 + 16\/3*z**2 - 16\/3*z**3.\nAnswer: -(z - 1)*(4*z - 1)*(4*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 v when four letters picked without replacement from {v: 8, g: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 35*t + 25*t - 38*t.\nAnswer: -48*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*l**4 + (-l + 2*l - 3*l)*(-3*l**3 + 3*l**3 + 3*l**3) + 0*l**2 + 0*l**2 - 2*l**4 + 0*l - 2*l**4 + 0*l - 16*l**4 + 82*l**4 + 80*l**4.\nAnswer: 138*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2167, 3894, 5205, 6106, 6603, 6702?\n\"Answer: k**3 - 214*k**2 + 2362*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10555*y - 10552*y = -78 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let c(j) be the first derivative of -29 - 21 + 3*j - 128*j**3 + 126*j**3. What is k(c(d))?\nAnswer: 6*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j. Let x(u) = -7*u + 276. Let l(n) = -2*n + 42. Let c(m) = 4*l(m) - x(m). Give c(g(s)).\nAnswer: 11*s - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -692*s**3 + s**2 + 56*s + 116. Does 11 divide d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-6\/7)*p*p**(-4\/7)\/p*p)\/(p**0*p**(2\/9)))**(2\/137))**(-11) assuming p is positive.\nAnswer: p**(902\/8631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 968616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)*d**(-20))**(7\/6) assuming d is positive.\nAnswer: d**(-637\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 138*m + 15. Let y be s(1). Is 152 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utwkkwwwtkwwk. Give prob of picking 2 t, 1 w, and 1 k.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 8 = 6*t. Which is the third biggest value? (a) 1 (b) t (c) 5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 105. Calculate the remainder when 64 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 5:39 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1527*b*n + 2*b - 325*h*n + 911252*h - n - 4 wrt n?\nAnswer: 1527*b - 325*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675586.1ml in litres?\nAnswer: 675.5861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 6*v**2 - 7*v - 7. Let u(o) = -2*o**2 - 2*o + 3. Let m be u(3). Let d(b) = -b**2 - 22*b - 28. Let f be d(m). Calculate n(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 22*c**2 - 2*c - 22.\nAnswer: 2*(c - 1)*(c + 1)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -1\/90, -0.5.\nAnswer: -0.5, -1\/90, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281\/2101 + -1\/382. What is the smallest value in s, 0.09, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/(-14))\/((-12)\/(-6)) - (-170910)\/731808 and 67\/88.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15350 and 93635.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (22 + 1 + -14)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*v**3 - 705*v**3 + 1431*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p + 37*p = 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - m**2 + 2. Let k(z) = -z**2 - 11*z - 12. Let c(q) = -8*q**2. Let j be c(-1). Calculate the least common multiple of k(j) and i(2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 7*n = 25, 2*n = -8*j + 34 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 + -92. Solve 5 = y*h - 0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338978295 divided by -45531\nAnswer: -7445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p**5 + 2870*p**4 + 19812*p**3 - 85504*p**2 - 151104*p - 48640 = 0. What is p?\nAnswer: -152, -10, -1, -4\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-627)\/(-342))\/(40\/60)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37911979?\nAnswer: 7, 5415997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 10:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*k**3 - 8*k**5 + 217*k**2 - 512*k + 295*k**2 + 15*k**5 - 6*k**5 + 192 - 5*k**5 + 52*k**4 = 0 for k.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147366, -151795, -156224, -160653?\nAnswer: -165082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.44, 193, 7, 1\/11, 5 in descending order.\nAnswer: 193, 9.44, 7, 5, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -75*z + 66*z + 40 + 19, 0 = -2*a - z - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 22 + 9 - i + 12. Let c(x) = -11*x**4 + 5*x**2 - 5*x - 22. Let u(z) = -c(z) + 5*k(z). Differentiate u(y) wrt y.\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 v, and 1 n when three letters picked without replacement from vadvnd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.074 - -4.526. Let b = w - 5. Let o be (1 - -5)\/((-12)\/(-8)). Sort b, o, -0.1.\nAnswer: b, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minus 717.71317?\nAnswer: -362.71317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*q - 242*q + 7*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -7. Let k = -48.39 - -48.49. Let j = -1 + 2. What is the third smallest value in l, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 444078*r**2 + 2*r + 2009?\nAnswer: 888156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 5\/8*d**4 + 61\/60*d**5 + 111*d**2 + 0*d + 0 - 5\/6*d**3. Find the second derivative of o(k) wrt k.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3*q**2 - 83 + 83 - 5*q**2 + q**2 + 3*q**2 + 3*q - 2*q**2 - 3*q + (-2*q + q + 0*q)*(3 - 3 + 2*q) - 2*q**2 + 5*q - 5*q).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(220\/(-8)))\/(48\/100).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b**2 - 3*b - 4. Let q(j) = j**2 - 1. What is -a(f) + 4*q(f)?\nAnswer: -8*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 0*m + 2*m + (0*m - m - m)*(0 + 2 + 0) - 20*m + 10*m - 17*m in the form v*m + x and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 105 - (12 - (-15 - (33 - 56)))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 65*c**2 - 200*c + 180.\nAnswer: -5*(c - 9)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 524 (b) -97294 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*k - 24 = 0, -3*m + 1 = -4*k - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-323)\/(-34)*2504\/22. Let r = -1082 + j. What is the common denominator of r and 17\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 88\/(-99) + 1\/(-9). Let l be ((2\/5)\/(-1))\/(176\/110). Sort o, l, -6, -1\/6 in ascending order.\nAnswer: -6, o, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27253 is divided by 439.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2\/(-10)*67 + (-4)\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u + 90. Let a be x(11). Solve j + 0 - a = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**5\/60 + 7*o**4\/12 - 11*o**3\/2 + 15*o**2. Let l be q(4). Solve -2 = 4*w + 2*h + 4, -3*h - l = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -5*r**2 + 0 + 0*r + 0*r**3 + 0*r**4 - 1\/600*r**6 - 1\/300*r**5. Suppose h(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.4, -2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1683, -3367, -5051, -6735, -8419?\n\"Answer: -1684*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631686 is divided by 188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k - 40. Let s be (-330)\/k - (-1 - 0). Let q = s + -31. Solve -3*v - 2*o - 6 = 0, -q*v - 6 = -4*o + 2*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 divided by 75?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2507516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -264.\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 7:45 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27467559, -27467557, -27467555?\nAnswer: -27467553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 18*i**2 + 22*i - 392. Calculate g(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*z + 5, -7*z + l - 5 = -3*z. Let o = -109 - -196. Suppose n - o - 184 = z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 25 = 33*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpj when three letters picked without replacement from {j: 18, p: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 18) + (1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134147094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(1700) - sqrt(17) - (sqrt(272) + -3)**2) + -3.\nAnswer: -282 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 18*l + 140. Let w(u) = 12*u - 24. Let k be (3\/(-4))\/((-9)\/60). Let x be w(k). Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 34*k + 42 = 0. Solve -4*r = -5*l - 17, 4*r - 4*l - 2 - k = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 20. What is j in 6 - 10*j + 62*j**3 + 48*j**2 + 28*j**3 - 28*j - k = 0?\nAnswer: -1, 2\/15, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 66 + 1 = -5*l, -5*l + 62 = 2*u. Suppose 2*r = 4*m - 28, 3*m - l = -r - 2*r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 != -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((8 - 5) + -4)*(-1)\/433. Let c = -1294\/2165 - t. Let q = -0.09 + 6.09. Which is bigger: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187*a**4 - 2*a**3*n - 26*a**2*n - 1 wrt a?\nAnswer: 4488*a - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + b + (4 - 5 - 1)*(-2*b - 2 + 2) - 2*b + 2*b + 2*b + 0*b - 2*b + b + 0*b + b + 0*b + (1 + 2 - 2)*(2*b - 1 + 1) to the form n + s*b and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h + 1. Let g(f) = -3*f**2 - 2*f + 3. Give -4*g(s) + 10*w(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067372487?\nAnswer: 3, 118596943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9555*h + 28723. Give z(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*c - 19*c + 1161*c + 0*c**3 + c**3 - 2516*c to the form v*c**3 + a*c + z + q*c**2 and give a.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:04 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9285095 + 2.1884924. Let l = -5.58 + 2.84. Let y = l - q. Round y to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 13252*u**2 + 13278*u + 159048 = 0. What is u?\nAnswer: -6627, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.299 - 0.001. Let o = t - -0.8. What is the nearest to -3 in 1\/8, o, 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 12\/8)\/((-3)\/(-4)). Suppose 2*b - 2*n = 68, b + h*n = -9 + 55. Suppose -12*w + b = 14. Solve 5*v - w*v = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46, -41, -182, -383, -650, -989, -1406?\n\"Answer: -c**3 - 21*c**2 - 17*c + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16533.\nAnswer: 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*k = 6*o + 4, -o - k = 1. Suppose o*t + 326 = 2*t. Suppose -3*h - 5*y = -6*y - t, -3*y = -h + 49. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2652882 - 1?\nAnswer: -2652883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 3. Let c be 1\/(((-4)\/(-5))\/(-4)). Let f be p(c). Find q, given that 1\/2*q - 1\/2*q**f + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 30*m - 100. Suppose 3*q + 3504 = m*y, 4*q + 2098 = -35*y + 38*y. Is y a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 4*p + 4. Let w(r) = -5*r**2 - 7*r - 7. Let t(c) = -7*d(c) - 4*w(c). Let z(m) = -4*m. Determine t(z(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-16) - 3\/2. Let a = 115 + -47. Is a + (g\/3)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.2, -126\/233?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22702\/7? (a) -8 (b) 5 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 18. Let l be u(9). Suppose 4*s = -l*s + 16, 0 = j + 5*s - 26. Which is smaller: 9\/2 or j?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 7 = 5*g, 5*g + 2*x + 4 = 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 43320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9814026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*((sqrt(475) - (sqrt(475) - (sqrt(475) + sqrt(475)*-2 + 1))) + 1*(-1 + sqrt(475) + sqrt(475))).\nAnswer: -15*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 292111 + -4381657\/15. Factor -2\/5*t**3 + 0 + k*t - 6\/5*t**4 + 16\/15*t**2.\nAnswer: -2*t*(t - 1)*(3*t + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386044091 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) -57 (c) -9 (d) 410 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 652, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + -1 + sqrt(288) + (1*sqrt(288))**2*1.\nAnswer: 12*sqrt(2) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*u - 20 = 0, 0 - 4 = 2*l - 5*u. Suppose -3*g - 2*f = -6303, -f + 2*f - 6303 = -l*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007313 rounded to 6 decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*t + 65*t - 5*t)*(-1 + 3 - 7)*(1 + t**2 - 1 + (2*t - t + 2*t)*(2*t - 3 + 3) - 5*t**2 + 0*t**2 + 4*t**2) to h + n*t + u*t**3 + m*t**2 and give u.\nAnswer: -3120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20265)\/28950 + (-157)\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/((-72)\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2\/3 - 4294900*k\/3 + 47242085 = 0. Calculate k.\nAnswer: 33, 858947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9549 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 9*d - 9. Let s be i(-6). Let g be ((-3)\/(s\/6))\/((-3)\/27). Let j be 1625\/95 - g\/(-57). Calculate the greatest common factor of 187 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 + 86. Let w(c) = c**2 - c + 1. What is w(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030 = 4*x - 0*x - 2*j, -3*x - 753 = 5*j. Let i = -252 - x. Solve -i*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 12*m + 3. Let y be 26*(-1 + (-3)\/(-2)). Is 6 a factor of x(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.85. Let i = s + -4.15. Let c = i + 5. What is the smallest value in -3, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 - 6*g - g**3 + 6 + 2 - 5*g**2 - 3*g**2. Let j be r(-7). Suppose b - 3*q - 7 = -4*b, -5*b - j = -q. Is b <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600760 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/25 + (77172\/10 - 2). Is ((-2)\/1)\/((-10)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169*o**3 + 4338*o**4 - 81*o**3 + 4332*o**4 - 8672*o**4 + 474*o**3 + 2*o**5 - 5563*o**2 wrt o?\nAnswer: 120*o**2 - 48*o + 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 150*p**2 - 144*p + 241. Determine a(76).\nAnswer: 849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2493796638.\nAnswer: 2, 3, 127, 167, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6. Let h(n) = 3*n**2 - n. Let k be h(c). Suppose 0 = 7*z - k*z - 485. Calculate the remainder when z is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -123071, -123253, -123435, -123617?\n\"Answer: -182*d - 122889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30003 + 212?\nAnswer: 30220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(1 - 4 + 4)*(-1 + 1 + 2*f**2)*(-46*f**2 - 43*f**2 + 77*f**2).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -111233, -1\/5, 13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3609, -39, -10943, -29109, -54543, -87251?\nAnswer: -127239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -74. Let i = 14 - 22. Which is the third smallest value? (a) -0.4 (b) 0.2 (c) i (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3571182\nAnswer: -1071354.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:01 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33585181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f - 59. Calculate w(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78326216 by -3886.\nAnswer: -20156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/147*-7*(-7)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t + 11 - 4\/3*t**3 + 0*t**2. Let o(l) = 7*l. Give f(o(z)).\nAnswer: -196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-1)\/(-10) + (-3063)\/(-15). Suppose 240 + x = 6*n. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 907060286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*y + 1156, 20 = 7*j - 12*j. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 25*d - 15. Let b be 63 - 68 - (1 + 0). Calculate w(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {m: 4, o: 3, s: 5, d: 4, f: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3550099 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 - 15340*k + 14644224 = 0. Calculate k.\nAnswer: 1792, 2043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/s**7*s*s)\/s)*s*s)\/(s**(-5)\/s))\/(s**(1\/4)*s\/(s\/(s*s**(-3\/4)*s))))**(-1\/4) assuming s is positive.\nAnswer: s**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 9*u**2 + 8*u + 5. Let h be m(-8). Suppose a = 3*g - 4, g - h*a = 2*g - 28. Suppose 5*s - g*v - 7261 = s, 4*s = v + 7271. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 40373\nAnswer: -282611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1795\/10*2\/(-6). Let i = v - -60. Which is the smallest value? (a) i (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/30760 or 1?\nAnswer: 1\/30760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918480 is divided by 959069?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p**3 - 3*p**2 - 3*p - 1. Let z be n(-1). Let r = z - 21. Let y(q) = q**3 + 2*q**2 - 4*q - 2. Calculate y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*y + 427*y - 303*y.\nAnswer: -94*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7446425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:19 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2650501666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 - 2*i**3 + 810*i**2 + 2*i**3 - 804*i**2 + 4 in the form m*i**2 + n + g*i + r*i**3 + j*i**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = 4. Suppose y = 2*f - 18, q*f - 7*f + y = -42. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)*o**(2\/7) assuming o is positive.\nAnswer: o**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -226 * 1720\nAnswer: -388720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307465301?\nAnswer: 11, 13, 37, 58111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 25a?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*b**4 - 5*b**3*w**2 - 2*b**3 - 12*b**2 + w**2 wrt b?\nAnswer: 312*b - 30*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 + 2628*c - 13022. Determine x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35654881 is divided by 71.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -1046, -2352, -4160, -6458?\nAnswer: -9234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82697 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/12*((-7788)\/(-1121))\/33.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from oeeeeeoeeeooo?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25408, -25366, -25332, -25306, -25288, -25278?\nAnswer: -25276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8574 * -0.014.\nAnswer: -0.0120036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1720 + -1217330?\nAnswer: -1215410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 4\/9, 5\/3, -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {v: 5, j: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*t - 32. Let l = t + 18. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000242934739 to 7 decimal places.\nAnswer: 0.0002429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 450\/329 or 37?\nAnswer: 450\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165*a**2*b**4 + 39*a**2 + 7*b**4 + 6*b wrt b.\nAnswer: 1980*a**2*b**2 + 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 406?\nAnswer: 9338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*z - 124*z**2 + 12*z + 11*z + (-5 - 3*z + 5)*(6*z - 7*z - 2 + 1).\nAnswer: -121*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.021189 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940176066.\nAnswer: 2, 3, 156696011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*q + 71. Suppose -k + 2*k - r = 4, -4*r = k - q. Solve -6*j + 3*c = -2*j + 4, -k*c = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 0.06, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 92, 3, 0.4 in increasing order.\nAnswer: -4, 0.4, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -1 (c) 1446 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 770*y - 21580. Determine i(28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:26 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x. Let h(p) be the third derivative of p**7\/630 + p**4 - p**3\/6 + 2*p**2 - p. Let v(n) be the second derivative of h(n). What is j(v(y))?\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -499cd - 5?\nAnswer: -499d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 6\/7, 0, -2\/3, -5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111 (base 2) in base 14?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (2 - -2) + 7. Let u(y) = -y**2 + 10*y + 22. What are the prime factors of u(j)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46038033 divided by -72047\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-9))\/((4\/42)\/((-320)\/19600*7))\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-3)\/(-5)*(-60)\/36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*u - 5*o, -2*u - 19 + 3 = 5*o. Let m(k) = -70*k + u + 30*k + 31*k. What is m(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6393.943 hours to microseconds.\nAnswer: 23018194800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -33*m**4 + 180954*m**3\/7 - 1849767*m**2\/7 + 1177416*m\/7 + 491628\/7 = 0.\nAnswer: -2\/7, 1, 106\/11, 773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 - 8760*n + 7669565 = 0.\nAnswer: -2393, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:43 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {d: 2, c: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 197951797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t - 21 = 0. Suppose -s + t = 4. Suppose -2*f + 5*d = -25 - 65, 2*d = -s*f + 116. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2469014 and 2466.\nAnswer: 22221126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l = 8. Let y = 50 + -45. Find the second derivative of -q + 3*q**2 - 4*q - y*q**l - 4*q**2 wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 26*p + 175. Determine b(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-6364)\/(-14430) - (-13)\/(-5)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/4 - r**3\/3 + 5*r**2 + 9*r - 3. Is c(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 + 34*b**2\/5 + 36*b\/5.\nAnswer: -2*b*(b - 18)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x, 43 = 4*d + 3*x + 7. Let u = -276 - -285. Calculate the greatest common factor of d and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -376*m**3 + 671*m**3 - 284*m**3 + 52*m**4 + 4118 - 502 with respect to m.\nAnswer: 208*m**3 + 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**5\/60 - 7*h**4\/24 + 8*h**3\/3 - 3. Let x(u) be the third derivative of j(u). What is x(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15524 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 5*i**2 + 6*i + 3 + 5*i**2. Let t be j(6). Let h = t - 1. Solve 15 = h*a + a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/5*(1 - 6). Let k(b) = b + 9. Let i be k(x). Suppose -i*v = -5*v + 26. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 124*p - 123*p - 17 = 0, 0 = -3*z + 4*p + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -18*p - 8. What is the units digit of r(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 - -425. Let i be 2\/7 + (-9)\/d. Factor i*x**2 + 1\/4*x - 1\/4*x**3 - 1\/4*x**4 + 0.\nAnswer: -x*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87227.89 litres?\nAnswer: 87227890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(2)) - sqrt(6)\/sqrt(48))**2.\nAnswer: -7*sqrt(2) + 81\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z**3 + z**2 + z. Let k be l(-1). Let v be (-242)\/(-2) - (k - 7). Suppose 0 = -5*p + v + 141. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*x**3\/2 - 237*x**2\/2 - 255*x.\nAnswer: -3*x*(x + 5)*(9*x + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 2, o: 7}. What is prob of picking 1 l and 1 o?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 366, 621, 976, 1437, 2010, 2701, 3516?\nAnswer: 4461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8603.\nAnswer: 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/933 and -16\/315567.\nAnswer: 98141337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + ((1*1*sqrt(153))\/(sqrt(9) + sqrt(9) + sqrt(441) + sqrt(441)*1)*-6)**2).\nAnswer: -843\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 + 3*o**3 - 67 + 3*o**3 + 69 - 43*o to the form u + t*o**3 + f*o + d*o**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*-5*(sqrt(1872)*1 + sqrt(1872))**2 + (-2*(sqrt(1872)*2)**2 - (sqrt(1872) + 0)*-6).\nAnswer: 72*sqrt(13) + 59906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1344 divide 1046625216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + ((-1561)\/98 + 16)*1498?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 289 - 190. Let c be (-3)\/(-12) - w\/(-36). Suppose -121 + 43 = -2*t. Calculate the highest common divisor of c and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 4*b**2 + 5*b**2 + 0*b + b**2 + 0*b + (b**2 - 3*b + 3*b)*(2 - 3 - 1) - 167*b + 167*b - 19*b**2 as v*b + n + o*b**2 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16205 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2 + 4794304*h + 38354496 = 0.\nAnswer: -8, 4794312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -2 - 0) + -5 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 6*q + 57. Let u be (2\/(-16))\/1 + (-66)\/q. Suppose 20 = -5*z + u*y + 54, -4*z + y = -25. Let f(s) = s**2 - 7*s + 3. Calculate f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*m + 1260. Suppose -45 - m = -3*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225\/15506 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - 5240\/(-25) - (-6)\/105*7 is divided by 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) -3 (c) 5 (d) 4.184 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-27)\/(-6)*20\/2100 and -69\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 0 + 0 + (-r**4 + 0 + 0)*(0 + 0 + 3) + 3*r**4 - 2*r**4 + r**4)*(122 + 13*r - 122).\nAnswer: -39*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-7 + 15 - (-23 + 36)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543554530?\nAnswer: 2, 5, 7, 37, 595967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*t - 4*t - 270. Suppose 2*s + t = -q + 3*q, -3*q - 3*s - 3 = 0. Solve 0 = 3*l + 2*l - 25, q*l - 30 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 + 4*j**2 + 148*j + 140 = 0. What is j?\nAnswer: -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 6 = 2*n + 2*v, 24 = -8*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 2*z**6\/15 + 2*z**5 + 13*z**4\/3 - 16*z**3 + 1439*z. Suppose i(a) = 0. What is a?\nAnswer: -8, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*n - a + 95, 4*n - 5*a = 119. Suppose 3*q + n = 5*q. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -28 - (-6 - 0)) + -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41340913 and 11684.\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 75*v**2 - 240*v + 320.\nAnswer: -5*(v - 1)*(v + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -804*o**5 + 50*o**4 - 4*o**3 - 118*o**2 - 2*o - 2072 wrt o.\nAnswer: -48240*o**2 + 1200*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6528701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-26)*((-12)\/42)\/((-45)\/7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*f + 4, -4*f = -3*f - 4*k + 13. Suppose -4*x = 2*w - 306, -81 = -f*x - 3*w + 156. Calculate the remainder when x is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24040340 - 14420?\nAnswer: 24020420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1839, 2, 0, 2\/7, 47?\nAnswer: 1839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204090 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -188 (base 14) to base 13.\nAnswer: -1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*h - 36, 5*m + 27 = 8*m - h. Let o(x) = -x**3 + 8*x**2 + 11*x - 19. What is o(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q**5 - 14*q**5 + 40*q**2 + 24 - 14 + 10*q**3 - 10*q**4 + 35*q = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-28))\/g*g*g\/g**(-1\/11) assuming g is positive.\nAnswer: g**(-285\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0*k**3 + 1\/3*k**4 + 3\/20*k**5 + 14*k + 0*k**2 + 0. Find the third derivative of m(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, a: 5}. What is prob of sequence aa?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*d**2*o**3*t - 2*d**2*o**2*t**2 - d**2*o**2 - 2693502*d*o**3*t**2 + 23*d*o*t**2 - 3144*o**2 - 5 wrt o.\nAnswer: -384*d**2*t - 16161012*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r - 65*r + 25*r + 16*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s + 2*q - 9056, -3*q + 6798 = -3*s. Let f = -413 - s. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**5 - d**2*w**3 - 13*d**2*w + 10*d*w**3 + 2*d*w - 3*d wrt d.\nAnswer: 60*d**3 - 2*w**3 - 26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 36.95. Do -3 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-3))\/((-56)\/(-2016)))\/((-2)\/3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 + 35*i + 2450.\nAnswer: (i + 140)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*m**4 + 91*m**3 - 51*m**2 - 6*m - 11?\nAnswer: -1536*m + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:21 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-48)*54 + 7. Factor 1\/4*v - 1\/4*v**2 - f*v**3 + 1\/4.\nAnswer: -(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 3*d + 3. Let i be j(2). Let x be 2 + i - -2 - 1. What is the derivative of 2 - 6 - 1 + x*z**2 + 1 wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*m - 0*q - 6, -4*m + 12 = 4*q. Suppose 2*b = -4, 3*r - m*b - 141 - 480 = 0. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 3*d**6\/10 - 9*d**5\/2 - d**4\/6 + 203*d**3\/6 - 687*d. What is the third derivative of n(h) wrt h?\nAnswer: 216*h - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41004.942 + 40965. Let o = -0.058 + z. Let n = 31 + o. Which is bigger: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23683 and 6459.\nAnswer: 71049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.7 - 0.3. Let x = 2083.52 + -2084.02. What is the closest to -1\/18 in x, 2\/17, d?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121987 and 1592.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:56 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2*g**2 - g**2)*(14*g - 13*g + 16*g) + 230 - 91*g - 23*g**3 - 232 + 24*g**3.\nAnswer: 18*g**3 - 57*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/6 + 11*b**4\/6 - 7*b**3\/6 - 35*b**2\/6 + 26*b\/3 - 10\/3 = 0 for b.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14148272 by 884267.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-9)\/(-864))\/(3\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47983711?\nAnswer: 83, 578117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q = -189 + 15 - 14. Solve 123*n - q = 127*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 68?\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Solve 5 = 4*i + l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1704 + -224666?\nAnswer: -226370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 15 = -5*v, 32 - 47 = -3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13212 - -1402242?\nAnswer: 1334030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -2*j - 4*a + 12, -16 = -4*j - 4*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5226 = 5*y - 18*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 880 - 827. Let v(t) = -53 + 15*t**2 + k + 9*t**2 - 34*t**2. Let f(j) = j**2 - 4*j**2 + 4*j**2. What is f(v(m))?\nAnswer: 100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 319 and 331383.\nAnswer: 3645213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 4. Let c be g(8). Let j be 6\/9 + (-2536)\/c. Suppose 2*b - j = -2*i, 3*i - 2*i = 4*b - 444. What is the highest common divisor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rttrrrrrttrrrrtrrrr.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 15 = 4*o. Suppose -k + o*a = 3*k - 33, -k - 2*a = 8. What is the second biggest value in -2\/5, 9, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746*x - 7590 = 240*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 + 4864*t - 14628 = 0.\nAnswer: -1219, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = -10, -4*k - 3*s - 51 = 0. Let n = k + 9. Suppose 5*j - 50 = -n. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 112 = -82*f. Is 3\/2552 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x = 557443 + 289873. What are the prime factors of x?\nAnswer: 2, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2423\/12832 - -12\/401. What is the common denominator of -115\/14 and c?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 + 42 - 40*q**2 - 40 + q**2 as u + j*q**2 + p*q and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2332\/18656)\/((-5)\/(-1240))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -681 - -685. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = 0, -4*a - a + 2*z + 29 = 0. Let k(y) = -y**3 + 6*y**2 + 8*y - 5. What is k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1824940 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(3\/29)*z**(-16\/5)\/z*z**(2\/5)*z assuming z is positive.\nAnswer: z**(-827\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*(-9)\/2. Suppose -c = -4*l, 3*l + l = -4*q + 16. Suppose p = -p - 4*k + 6, q = 3*p - 2*k. Sort 5, p, 4.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, g: 2, p: 1, i: 2, x: 2, q: 1}. Give prob of picking 1 r and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + ((-3*sqrt(304))**2 + (-2*sqrt(19) + 1)**2 - -6*sqrt(133)\/((sqrt(28) - sqrt(7))*-6)).\nAnswer: -5*sqrt(19) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2525 = 3*c + z, 827 = c - 3*z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 4*y + 3. Let r be n(5). Suppose 0*m = 2*m + 2*k - 4, 0 = 5*m - k - 22. Let z = m + r. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-490\nAnswer: -489.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338*p**2 + 172*p + 510.\nAnswer: -2*(p + 1)*(169*p - 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 82 - 10 - 9*v**3 - 36 - 36 - 25*v**3.\nAnswer: -37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3660701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 - 888*w\/5 - 2637\/5.\nAnswer: -3*(w + 3)*(w + 293)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50254.\nAnswer: 2, 25127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 7*s**2 - 15*s**2 - 5 + 75*s**3 + 9*s**2 to the form y + n*s**3 + z*s**2 + l*s and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100011 - 11?\nAnswer: -1100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 544.1411 kilograms?\nAnswer: 0.5441411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6620091 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970 + 970 - 63*q.\nAnswer: -63*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 741.28 to the nearest ten.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (4 + 0 - -3). Is t >= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, t: 4, s: 2, x: 2}. Give prob of picking 1 x, 2 j, and 1 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z**2. Let v(t) = -40191 + 768*t - 40198 - 40197 + 120586. Determine v(c(k)).\nAnswer: -10752*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r - 74*r - 74 = -y - 32*r, 0 = -8*y + 2*r + 76 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 50.14457 micrometers?\nAnswer: 0.00005014457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2, 0 = -2*r - 3*r - z + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1113.8 + -1114.2. Put j, 1, 277.5 in increasing order.\nAnswer: j, 1, 277.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 - 135. Which is the third biggest value? (a) 100 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 - d. Let n(m) = 40*m**3 - 4*m**2 + 2. Determine n(y) + 3*x(y).\nAnswer: 37*y**3 - y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 - 267*v**3 - v**2 - 7645*v wrt v.\nAnswer: -12*v**2 - 1602*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174456 (base 8) to base 6.\nAnswer: -1211154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10269 - 10269 + 1858*q**2 in the form o*q + y*q**2 + i and give y.\nAnswer: 1858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 9:03 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*h - 118, 71*h - 74*h + 213 = -12*p. Calculate the remainder when h is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + 1*(4 + (sqrt(117)*1 - sqrt(117))))*6.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, l: 12}. What is prob of sequence uuul?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -265*c**2 - 18*c + 3. Let n(u) = 118456*u**2 + 8040*u - 1340. Let f(o) = 2680*i(o) + 6*n(o). Let x(d) = d**2. Determine f(x(q)).\nAnswer: 536*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = 3*v - 4, -2 = -2*v. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -5260?\nAnswer: 5268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183810890 divided by 91905445.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 10. Let h = -24 + d. Let n(m) = -3*m - 24. What is the remainder when 16 is divided by n(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*h - 31, 4*w = h - 11 - 18. Is 73 - ((-3)\/h)\/(1\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 329 + -36. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 540 + -541.106. Round v to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 85. Let j be a(-22). Is j > 201\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(7\/3)*(-1022)\/2628?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 9*s + 116. Let f be v(7). Let l be (-20)\/(-90) - (-52)\/9 - 2. Solve l*p + 13 = 3*k, 2*k + 0 = -f*p + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 8*b**2 + 8*b**2 + (3 + 0 + 1)*(b**3 + b**2 - b**2) + 0*b**3 + 2*b**3 + 2 + 2*b**3 to the form v + h*b + a*b**3 + c*b**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 8\/7, 8, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**3 - 10*o**3 + 8*o**3 + (9*o + 1 - 1)*(6*o**2 - o**2 - 3*o**2) to w*o**2 + s*o + l*o**3 + h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*71\/(-213). Let n(f) be the first derivative of -2 - 1\/15*f**5 + 0*f**2 + 1\/18*f**6 - c*f**4 + 0*f**3 + 0*f. Factor n(j).\nAnswer: j**3*(j - 2)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -28. Suppose 11*z - 12*z = -c. Let g be 0 + (-5 - 0) - -10. Solve -3 = g*l + z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 27*f**3 - 38*f**2 - 14*f + 579. Let h(g) = 10*g**3 - 13*g**2 - 5*g + 191. Determine 11*h(q) - 4*m(q).\nAnswer: 2*q**3 + 9*q**2 + q - 215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098351 minus -4746685?\nAnswer: 3648334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*((-20)\/80)\/(18\/64)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/45 + 314*d**4\/3 - 147894*d**3 - 8494*d. Let w(s) = 0. What is s?\nAnswer: 0, 1413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let o(j) = j**2 - 4. Let m be o(-3). Suppose 0 = -m*l + 2*l + k + 11, 3*k = 5*l - 21. Let n(u) = -1. What is l*n(w) - d(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149537453167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/92 and 9\/421460.\nAnswer: 9693580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6188982622 rounded to the nearest 1000000?\nAnswer: -6189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1010001001100 (base 2) to base 4\nAnswer: -1101030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -1\/30*m**6 + 7\/4*m**4 - 6 + 0*m**3 - 4*m**2 + 1\/60*m**5 + 0*m. What is the second derivative of o(u) wrt u?\nAnswer: -24*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4\/5 - 4*f**3\/15 - 16. Factor q(m).\nAnswer: 4*m**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65942 + 65942.0069526. Round z to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -30*p**2 + 14. Let d(r) = -1. What is 28*d(z) + 2*n(z)?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883995135 is divided by 11776.\nAnswer: 11775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - 4*d + 6*d + 69*d - 9*d - 53*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 62. Sort l, -7, -1 in ascending order.\nAnswer: -7, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + t + 12514996, -5*t + 6841144 + 5673876 = 5*z. Round z to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255783680 to the power of 1\/2, to the nearest integer?\nAnswer: 15993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*(-34)\/((-578)\/(-51))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7530209 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0096062531 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -5*p + 5*b + 69, -3*p = 4*b - 18. Factor 3\/5*s**3 + 0 + 4\/5*s**p + 1\/5*s.\nAnswer: s*(s + 1)*(3*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -18. Let c(d) = -d**3 + 5533 + 5534 - 11070 + 11*d + 17*d**2. Let j be c(v). Round j to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from mmipmmppmupmm.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4) - (-9)\/(-18). Let z(d) = -3*d + 4. Let s be z(l). Let f(b) = -4*b - 8. What is the tens digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 8:00 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19697 * 4.\nAnswer: 78788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.7. Let v = 0.016 + 0.184. What is the third smallest value in x, -13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 4?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let w = -9 + 5. Let t(s) = -15*s. Let z(i) = -165*i. Let l(a) = w*z(a) + 45*t(a). Give v(l(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 230384 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -1. Let q = -21 - -29. Calculate the lowest common multiple of q and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. What is the second derivative of -m**5 + 10*m**x + 4*m - m + 3*m wrt m?\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23032 - -11?\nAnswer: 23103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 683 + -4783\/7. Which is the smallest value? (a) 1 (b) s (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12774 + -9?\nAnswer: 12765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * 0.4\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*v + 3*y, 13 - 15 + 42 = -5*v - y for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93593*o + 182620*o - 89030*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**3 - 35*w**2 - 70*w - 40 = 0. What is w?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + -7 + (-12 - -34). Solve -6*q = -m*q + 4*n + 1, -n = -5*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 87*d**2 - 4*d + 9. Let i(x) = -x**3 - 9*x**2 + 10*x + 4. Let y be i(-10). Is v(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let g(h) be the third derivative of 0*h**3 + 0 - 1\/60*h**5 + 0*h**4 + h**2 + 0*h. Determine g(k(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*h = -12 - 4, -2*g - 4*h = -14. Let m(r) = 3*r**2 - 6*r. Let j(f) = f. Let b(z) = g*m(z) + 5*j(z). What is the second derivative of b(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spggfllhllsls. Give prob of sequence gf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 18. Put 3, h, -5, -2 in decreasing order.\nAnswer: 3, h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -y + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {l: 9, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 769 divide 88721430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0 - 4 = 0, 0 = 3*j + 2*c + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*v + 13*v - 7*v + 4*v to the form j + r*v and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 + k + 8. Suppose -4*f = -2*f. Let b be l(f). Let v = b - -6. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 n when four letters picked without replacement from ndgpndwngddwtgw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11729*c*o**3 - 2*c*o + c - 23818 wrt o.\nAnswer: -35187*c*o**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 6 + 7 + (-6 - -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 182 (base 12) to base 6\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*p + 3*p + 3*p + (-3 - 2 + 0)*(0*p - 3*p + p).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(114)*1 - sqrt(114))\/sqrt(2))\/((sqrt(21) - -1*sqrt(21))\/sqrt(7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -4700.\nAnswer: 17\/4700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1007 in -0.2, -1.32, -0.01?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.121 + -128.879. Let i = h + 131. Sort -4, i, 0.3, 5 in increasing order.\nAnswer: -4, 0.3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/6 + 5 + (-702)\/676.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 27, -6, 131, -3 in decreasing order.\nAnswer: 131, 27, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701833 is divided by 493?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f1c7b (base 16) in base 9?\nAnswer: -3746762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 316 - 1177?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*d**2 - 1004*d**2 - 6 + 6 - 172*d**2.\nAnswer: -893*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/2*i - 1\/2*i**4 + 3\/2*i**2 + 1 - 1\/2*i**3 = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20 - 13 - 16*v - 52*v with respect to v.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + (9 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 108 - 36. Suppose -x = -4*o - 2. Let c(i) = i**2 - 3*i + 1. What is the remainder when c(o) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202675 and 34485?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-6))\/((-9)\/27). Suppose w - 2 = -i*n, -n + 5*n + 8 = 4*w. Solve -4*k + k - 6 = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0075407117 and 4.7?\nAnswer: 4.6924592883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -181162*y. Let u(n) = -6*n - 1. What is f(u(r))?\nAnswer: 1086972*r + 181162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47040 divided by 84\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r = -55*r + 5000. What is the third smallest value in -0.5, -3\/4, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.186*-1.\nAnswer: 1.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 69*t + 41*t = -27*t - 10, 0 = 9*c - 2*t + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 7*v**4\/12 + 7*v**3\/6 + 7*v**2\/2 - 33*v. Let n(o) = -3*o**2 - 3*o - 3. Give 9*n(j) + 4*t(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -244, -568, -1026, -1618, -2344, -3204?\nAnswer: -4198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 5*a + 2. Let y be c(-5). Suppose y*v + 0*o + o = 9, 4*v + 5*o - 27 = 0. Suppose 0*u - v*u + 90 = 0. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1110156 to the nearest 100.\nAnswer: 1110200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (393 - 400) + -1 + -6 + 15 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 214570, 429110, 643658, 858214, 1072778, 1287350, 1501930?\n\"Answer: 4*f**2 + 214528*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105806 - -417.\nAnswer: -105389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14511241 less than 3?\nAnswer: 14511244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + m**5 - 4*m**5)*((-3 + 1 + 1)*(3 + 4 - 4) + 1 - 2 + 2).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1518 divided by 69\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 26*z**2 + 1. Let i be k(-1). What is the greatest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617566 is divided by 3489.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59787710 divided by 112807.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n - k - 2*k, 0 = 3*k + 6. Suppose 5*t + 5*j + 0*j - 85 = 0, -n*j = 3. Let m = -10 + t. Calculate the highest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**4\/6 + 25*f**2. Let l(w) = 4*w**2. Give s(l(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 6*q**2 + 72*q - 64.\nAnswer: -2*(q - 4)*(q - 1)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 41.4115.\nAnswer: 41.1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 8*h - 6. Let w be b(9). Suppose w*x - 2336 = x. Let u be x\/28 + 4\/14. What is the greatest common factor of u and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316\/(-22594)*(-55)\/(-15).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1215 + -66.1985. Let s = 67 + o. Let y = 0.7625 - s. Round y to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -163*d - 77. Let n be -7 - (-10 - (7 + -14)). List the prime factors of f(n).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210455025 (base 6) to base 3.\nAnswer: -20220212001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -8 + (-3)\/((-405)\/(-99)). Let -2\/3*x**3 - 6\/5*x + 8\/5*x**2 + z = 0. Calculate x.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 3. Let l be d(1). Suppose 3*a - l*j + 14 = 0, 2*j + 18 = -5*a - 0*a. Is a not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h + 12. Let f be (70\/28)\/(1\/2). Is 3 a factor of (-3 + 1 - h)*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from bqqtbbqbtbtbqbtb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4065 + -44712\/11. Let g = -0.03 + -0.57. Which is the nearest to 2\/5? (a) p (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 + 6*h**3\/7 - 6*h**2\/7 + 2*h\/7.\nAnswer: -2*h*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 433*r - 5556. Let i be l(13). What is the closest to 1\/5 in -1\/6, i, -3, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) -4 (c) -7333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8598 (base 11) to base 13.\nAnswer: 522b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1028 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.063 + 24.937. Let v = -6251.2 - -6249.2. Which is the smallest value? (a) -0.4 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 at least as big as 119500\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.7. Let k = -59 - -73.2. Let o = -14.1 + k. What is the nearest to o in 3, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221110 + -11?\nAnswer: 22221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -543*b**4 - b**3 + 1188 wrt b.\nAnswer: -2172*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/199559 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 478*u**3\/3 + u**2\/2 + 1715*u + 1466. Differentiate r(m) with respect to m.\nAnswer: 956*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-535)\/(-105) + -7)*(133\/14 + -8).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29860300 and 10250?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l + 192 = -246 - 66 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.263136l to millilitres.\nAnswer: 1263.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxoqookqkogkkkqhoxk. What is prob of sequence kqg?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 45 - 10. Let t(f) = -14*f**2 - 11. Let a(z) = 5*z**2 + 4. Let w(j) = m*a(j) - 4*t(j). Let k(o) = -o**2 - 2 + 2 + 8*o**2. Determine w(k(i)).\nAnswer: 49*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144273540 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 12*o**3 + 16*o**2.\nAnswer: 2*o**2*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*h + (0 + 2*h + 0)*(3 + 0 - 4))*(-4*h**3 - h**3 + 3 - 2) to p*h**3 + s*h + b*h**4 + f + x*h**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, 0.4, 4, 2133?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 - 36 + 36)*(349 + 3 - 131)*(2*p - 4 + 4).\nAnswer: -4862*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 0 + 0)*(-5 - 6 + 4)*(-1 - 1 + 1).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**3 - 2*o**2 = 0. Calculate o.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36840 and 675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 203\/42)*18. Suppose -5*l - 4*u + 8 = 0, -3*l + 4*u + 27 = -u. Is (1642 + y)*(5 - l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978620.89 rounded to the nearest one hundred?\nAnswer: 1978600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 30 = -5*x, 3*n - x - 1 = 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/4 + -5)\/((-1)\/(-4831)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.4. Put 1, r, -4\/5, 0.3 in descending order.\nAnswer: 1, r, 0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476464189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/23)\/(w**4*w))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*j. Suppose 3*a - 6*a + 363 = j. Let w be a\/44 - (-1)\/4. Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -21. Suppose b = k + k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/120 - m**5\/60 - m**4\/12 - m**2. Let u be p(3). Let r = u + -8. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*103\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 26740*m. Let n(k) = 11*k + 2. Give i(n(s)).\nAnswer: 294140*s + 53480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -149*u + 1. Suppose 3*c + 6*n - 10 = 7*n, 4*c - n - 12 = 0. Suppose -2*b - r - 1 = -c, 4*b = -3*r + 5. List the prime factors of o(b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5138, 5141, 5158, 5195, 5258?\n\"Answer: a**3 + a**2 - 7*a + 5143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 15*t - 22. Suppose 0 = -4*l + 3*z + 26, -9 = -l + z - 3. Suppose 40 = -l*k - 64. Let m be c(k). Solve 0*o = -o - m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-42))\/((6\/14)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 200, 293, 384, 473, 560?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a*d**3*g - a*d*m + a*g*m - 6*d**3*m + d**3 - 12*g wrt m?\nAnswer: -a*d + a*g - 6*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2325 and 105.\nAnswer: 16275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -227.9 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - (-3)\/2)*-2. Suppose 5*n = l*j, -2*n + 11 = 3*j - 2*j. Calculate the lowest common multiple of 10 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2730 and ((38\/285)\/(4\/(-6)))\/(7\/(-105))?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*83753158.\nAnswer: -41876579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41319028 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1244044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 49, -210 in descending order.\nAnswer: 49, 3, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32137 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + (2 - -1)) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 21*s + 15. Let b be l(10). Suppose 4*x + 23 = 5*p, b*p - 3*x = 4*p + 9. Solve 3*i = 6*i + a + 18, -4*a - 27 = p*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**5\/30 - 3*a**2\/2 + 2. Let w(m) be the second derivative of s(m). Let g(v) = 3*v**2. Determine w(g(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 54 - 57 + 11*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 5*m. Let o be u(-5). Suppose 3*d = 19 + 41. Solve -s = -3*y - 15, 4*y + o*s = 2*s - d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b + 2*r - 12, -4*r - 8 = 0. Which is smaller: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*-46)\/(6\/24*2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = 3*y - 1756. Find the second derivative of -17*w - y*w**5 - 25*w + 779*w**5 wrt w.\nAnswer: -560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 2*c**2 + 56*c\/5 + 64\/5.\nAnswer: -2*(c - 4)*(c + 1)*(c + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15240891 or 7\/2?\nAnswer: 15240891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21261 is divided by 2561.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - 3 - (-66)\/(-1). Let f = a + 168. What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f + 2*y - 666 = 0, -3*y - 651 = -3*f. What is the highest common factor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-96)*4\/(24\/27)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-2 + -2))\/1. Suppose 0*p = -t + 2*p + 9, u = -4*t - 5*p + 10. Solve -24 = -t*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2005\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 1. Suppose 31 = -5*t + 76. Let n = 15 - t. Determine a(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*n - 8 = -6*d, -2*n = 4*d - 6. Let l(h) = d - 6 + 5*h**2 + 4. Let s(y) = 2*y**2. Give s(l(o)).\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1*(1 - 21). Suppose -3*c = -2*c - 26. Let z = c + -20. Solve z*b - j = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/4*-32*11*9\/297?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c9 + -2?\nAnswer: 5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-3 + (-35 - -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -356 - -360. Let g(o) be the third derivative of -5*o**2 - 1\/300*o**6 + 0*o - 1\/75*o**5 - 1\/60*o**r + 0*o**3 + 0. Factor g(u).\nAnswer: -2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4 and 83.\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 + f**2 + 5*f - 4. Let p be u(0). Put 2, 13, p, 3 in decreasing order.\nAnswer: 13, 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3712 + -3672. What is the least common multiple of 20 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79507 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 578 - 560. Suppose 15*s + 1407 = x*s. What are the prime factors of s?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k - 2*x - 5 = 0, 5*k + 9 = -4*x. Find the common denominator of (k\/8)\/((-14)\/(-186)) and 920\/50*(-8)\/64.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31868*a + 32825*a - 64119 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -15, 4 in decreasing order.\nAnswer: 4, 0.03, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 + 5*a**3 + a**3 - 9 - 2*a**2 - 2*a**2 to n + d*a**2 + b*a + q*a**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -5*o**2 + 0*o**5 + 0*o**4 - 1\/2*o**3 - 2 - 25*o + 2\/15*o**6. What is the second derivative of w(h) wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, a: 7}. Give prob of picking 2 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 63*r + 68. Let f be n(-1). Solve f = -4*u + 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + (-2 + 4 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 270, 271, 264, 243, 202?\n\"Answer: -g**3 + 2*g**2 + 2*g + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 8*v - 5287*v**2 + 13*v.\nAnswer: -5287*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6117 - -3?\nAnswer: 6121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 24)*(-1 - 0). Let u = -34 + 36. Let h be 2\/(-6)*u*-39. Calculate the highest common factor of y and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*t**3 + 75378*t**2 + 202933728*t + 57974912.\nAnswer: (t + 5384)**2*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1917*r + 83416 = -54608 for r.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8593 divided by -6?\nAnswer: -8593\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -106707 (base 8) to base 5\nAnswer: -2130140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + (-58)\/18 + (-22)\/(-99). Suppose -1732 = -15*t + c*t. What are the prime factors of t?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 8 = -0*i + i, -5*i = -n + 16. Put 8, 0, 5, n, 1 in increasing order.\nAnswer: n, 0, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24903393 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Suppose 0 = -w*g + g - 2. What is the units digit of ((-24)\/15)\/(g\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjwjwmwjmmmxpe. What is prob of sequence wm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 34. Suppose -2*z + 6 = 4*n - 30, -z + 4 = j. Suppose -n*s = -5*s - 70. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 5. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85911052.\nAnswer: 2, 21477763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1654 times 0.9?\nAnswer: 0.14886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - c**2 - 21*c + 71. Give d(8).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -4 (c) -20 (d) 22 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - 3*y - y + (6 - 1 + 4)*(4*y - 3*y - 5*y) as g*y + p and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c. Calculate i(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 + 4*g + 2. Let u be o(-2). Suppose -u*j + 17*j = -20. Let c(x) = 6*x**2 - 2*x - 4. Does 6 divide c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + (-805)\/(-30))*(-68)\/(-14)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) - 1*sqrt(11)) + (sqrt(11) + sqrt(275))*2)*3.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((180\/16)\/9)\/((-34)\/(-816)). Solve f*x + 10 = 25*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k. Let r = 1 + k. Let v(o) = 3*o + 4 - 2*o - 3. Calculate v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/(1\/9). Suppose -z + x = 1. Suppose -4*c - 60 = -16*c. Solve -3 = 2*n + o, -4 - c = -z*n - 5*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h = -10*h - 6*h + 170 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 1. Let o be x(2). Let g(w) = -3*w**2 + w**3 - o*w**3 + 3*w**3 + 5*w. Let j(s) = 2*s**2 - 4*s. Determine 2*g(t) + 3*j(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 1. Let l be v(0). Let a be -2*(l + (-2)\/(-4)). Suppose 0*q - q + a = 0. Solve u + q = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 - 843*k**4 + 6043*k**3 + 78095*k**2 - 809550*k + 1870000 = 0 for k.\nAnswer: -850, -11, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/2)*q)\/q*q)**(4\/7)\/(q\/((q\/(q\/(q**(10\/3)*q))*q)\/q)*q*q**(-4\/3)) assuming q is positive.\nAnswer: q**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155\/567 - 1\/81. What is the second smallest value in q, -1\/4, -44, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 12:30 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828 divided by 3.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -49*r**2 + 16*r + 4. Let i(z) = 25*z**2 - 9*z - 2. Give 7*i(w) + 4*o(w).\nAnswer: -21*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11164875 by 7835.\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 + 2*x**2)*(-23 - 174 + 66).\nAnswer: -393*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(23\/(-12)))\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1788\/162 + -11). Is w > 79\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736690434.\nAnswer: 2, 3, 122781739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6858 + -2012. List the prime factors of c.\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.1 take away -106169.4?\nAnswer: 106205.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27747?\nAnswer: 3, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 213*w**2 + 7307*w + 124. Determine b(43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 5*f + 6. Suppose 0*i - 5*i = 25. What are the prime factors of d(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4336*k - 19464. What is d(6)?\nAnswer: 6552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9559907.2064 and -0.3?\nAnswer: 9559907.5064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 2.67.\nAnswer: -69.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by (50\/(-8))\/((-3)\/24).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877495320, 877495318, 877495316, 877495314?\nAnswer: 877495312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.058 - -0.612. Let u = 0.37 - j. Let n(r) = r - 10. Let t be n(5). Put 5, u, t in descending order.\nAnswer: 5, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -779*q**3 + 3507*q**2 wrt q.\nAnswer: -4674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.2852 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -810.6524 + 808.9. Round j to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 2017927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2320*f**2 + 2337*f**2 - 4647*f**2. Let j(w) = w**2 + 3*w - 3. Let y(b) = -2*b + 2. Let r(l) = 2*j(l) + 3*y(l). What is x(r(p))?\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1. Let x(r) = -r + 5. Suppose o - 15 = -2*o. Let w(t) = o*k(t) + x(t). Let d(g) be the third derivative of -g**4\/24 - g**2. Calculate w(d(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3*h**4\/16 + 27*h**3\/4 + 729*h**2\/8 + 2187*h\/4 - 75. Factor l(v).\nAnswer: 3*(v + 9)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9108 and 0.07.\nAnswer: -9107.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10422 is divided by 401?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7244957.76 rounded to the nearest one thousand?\nAnswer: 7245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16954 = -2*c, 0*c + 3*c = -5*l + 42417. Suppose 1427 = -2*a + l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/11 and -63\/46.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 10.9. Let l = -8 - -3. Which is the nearest to 2\/3? (a) l (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -136, -1\/121, 4\/5?\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133366*q + 67 - 3*q**2 - 67 - 29099*q.\nAnswer: -3*q**2 - 162465*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 + 3. Let i be w(0). Suppose 22 = 5*y - i. Suppose -y*l + 8 = -l. Solve -5*v + 16 = -2*p, -3*p = -l*v + p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.39 + -4.71. Let m = y - -4.978. Round m to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310 (base 5) to base 4.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/3 - 11074*i**2\/3 + 7378*i + 11070 = 0. What is i?\nAnswer: -1, 3, 5535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -692572, -692581, -692596, -692617?\n\"Answer: -3*f**2 - 692569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.038 + -57.962. Let x = -52 - t. Which is the biggest value? (a) x (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 p when four letters picked without replacement from {z: 1, e: 3, x: 7, p: 4, i: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2789, -3027, -3425, -3977, -4677, -5519?\n\"Answer: a**3 - 86*a**2 + 13*a - 2717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -7585?\nAnswer: -379.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -5, 2, -1, -59 in ascending order.\nAnswer: -59, -26, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -37*r**2 + 2*r + 30. Let i(j) = -117*j**2 + 5*j + 91. Let d(y) = 6*i(y) - 19*w(y). Calculate d(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b = 63*b + 4. Solve -b = -5*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 1072*j + 5034. Calculate b(219).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h, 0*t + 5*h + 37 = 2*t. Suppose 7*j - t*j + 88 = 0. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -17*s - 4. Let f be d(-3). Suppose 4*u + 108 = -0*q - 4*q, -q + 3*u - f = 0. Let b = -20 - q. Solve 5*j = j + b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 3*x + 1. What are the prime factors of o(-6)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x**2 + 3. Let u(a) = 12*a**2 + 4. Let m(o) = -2*n(o) + 3*u(o). What is the first derivative of m(q) wrt q?\nAnswer: 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 - -8)) + (-27 - (-82 - -48))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = 2*b. Suppose 3*c = -0*d + 5*d - 44499997, -26700002 = -b*d - 2*c. What is d rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -577826, -27, 0 in increasing order.\nAnswer: -577826, -27, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 250442777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.061 + -62.939. Let m = -14913541 + 14913478.00111. Let n = r - m. Round n to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, a: 2, y: 2, w: 1, g: 1}. What is prob of sequence yy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 139\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11451 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 14, 5, -2\/25?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((68\/34)\/(30\/(-60)))\/28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 818890 and 204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9 - 149 = 0. Let a = 41 - z. Let h be (-85)\/34 + 2\/((-12)\/(-45)). Solve 4*g = p - a, p + h*g + 19 = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10840 and -59\/395660.\nAnswer: 791320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822469 to the power of 1\/2, to the nearest integer?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 2 + 233*f**2 + 2*f**3 - 233*f**2 to the form p*f**3 + l*f**2 + s*f + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15304*x = 15315*x - 726. Calculate the greatest common divisor of 30 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4\/2 - 9*q**3\/2 + 24*q**2 - 18*q = 0.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*o = 395 - 426, -3*o - 9 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from ccuybuyuyzcyutyyyc.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.02 - 7. Let n = 0.08 + x. What is the closest to n in -1\/4, -2\/7, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 10:03 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a - 2?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3313 - 3299. What is the nearest to 0 in -1, -10\/3, -3, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 6) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -336104 (base 7) to base 6\nAnswer: -1140315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2381, 4726, 7069, 9410, 11749, 14086?\nAnswer: 16421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 2*n + 2. Let v(g) = g**2 + 1. Give r(y) - 2*v(y).\nAnswer: -4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 97. Calculate the remainder when (-1 - 11)*1305\/(-60) is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1776, -1, 2, 1 in descending order.\nAnswer: 1776, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6931037?\nAnswer: 547, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 6, d: 2, n: 2, u: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 48 - (2 + -2 - 1) - 25?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - x**2 + 0*x**2 + (-2 + 2*x + 2)*(-17*x - 4*x + 2*x) + (6 + 4*x - 6)*(-3*x + 2*x - 2*x).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 - 7*u**2 + 28*u - 1. Calculate l(5).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276456 > 276313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let y(u) be the first derivative of 7*u**4\/4 + u**3\/3 - u + 3. Is y(n) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6158288, 12316574, 18474860, 24633146, 30791432?\nAnswer: 36949718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.071 - 0.571. Let s = -1681.97 - -1682. What is the second smallest value in c, -0.4, 2\/5, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) 2.3 (c) 3.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 30*z - 13. Let v be m(-14). Suppose -v - 1 = 4*x, 2*x + 1 = -f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 31 - 11076*f + 11083*f - 31. Let n(q) = -361*q**2 + 2*q. Calculate n(k(v)).\nAnswer: -17689*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/7)\/((-4)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -591*v**3 + 9*v**2 + 5*v - 7. Let h(n) = 591*n**3 - 9*n**2 - 6*n + 11. Let u(i) = -6*a(i) - 5*h(i). What is the third derivative of u(z) wrt z?\nAnswer: 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {p: 7, t: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489047 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*c + 2 - 132*c - 282*c - 112*c in the form z*c + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875729949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/8 - -2)*0. Suppose 28*d - 32*d + 64 = y. What is the remainder when 110 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3684603*r. Let n(w) = -15*w**2 + 3. What is n(s(v))?\nAnswer: -203644489014135*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 33 + (-17 - (-3 - -4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730592 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*-4)\/(sqrt(12)\/sqrt(3)*-3).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -19. Suppose c*y = 6*y + h - 1322, 0 = -y + 4*h + 458. Suppose 2*j - 60 - y = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2. Let x(f) = -3*f + 6. Let g = -9 + 3. Let d(p) = 3*p - 7. Let y(r) = g*d(r) - 7*x(r). What is y(b(w))?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(105\/(-14))*1. Let n(d) = -50*d**2 - 6*d**w + 19*d**2 + 11*d**2 - 8*d**2. Let y(a) = 2*a**2. Calculate y(n(k)).\nAnswer: 2312*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*s = -2, 3*q + 3*s - 1 - 5 = 0. Solve 0 = -2*h - q*v - 16, 0*v - 2*v = -4*h - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.6. Suppose -562 = 6*q - 4*q. Let u = 276 + q. Sort s, u, -3\/5.\nAnswer: u, -3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 29*p - 20. Calculate the remainder when o(-13) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(-30*(-52)\/3120)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5897 is divided by 2946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14*s**2 + 593*s - 208. Let b be q(42). Suppose 0 = 3*g - g - 4. Solve 4*f + 2*l + 2 = -0, g*f = 2*l + b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -3*t + 3, 4*u - 8 = 2*t. Let b be (-2 + 5)*u\/18. Sort 1, -2, b.\nAnswer: -2, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30219*m + 30202*m + 791 - 264 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 5*a**2 + 6*a + 7. Let n be k(6). Let p(v) = -10*v**2 + 50*v - 7. Let z be p(5). List the prime factors of 0\/1 - 41\/(z\/n).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 2*x + 2. Let a be n(1). Let v = 0 + -2. Let t be (v - -1)*(-2)\/(-2). Is t less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1261*o + 4 - 53 + 7 - 1255*o + 2513*o. Calculate v(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p - 17. Suppose 3*s + 2*v + 14 - 6 = 0, 8 = -s + 2*v. Let i be z(s). Suppose -10*w + 957 = -i*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 7*m + 1475 = 1685 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o - 9. Let l = 31 + -21. Let y be d(l). Suppose 0 = g - i - y, -3*g + 107 = -0*g + 4*i. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.5, -4, 0.4, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d - 7*d**4 + 1 - 3 + 17*d**3 + d**3 + 5*d**4 + 4*d**4 to i + l*d**2 + t*d**3 + w*d**4 + r*d and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -308, 0, 5, 2 in increasing order.\nAnswer: -308, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*j - 170 = 0, -5*q + 463 = -5*j - 417. Let i = q + -118. Suppose 49 = 3*w - i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -117, 5\/3.\nAnswer: -117, 0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1397*j**2 + 337*j**2 + 1430*j**2 + 201 + 34*j - 201 wrt j?\nAnswer: 6328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/18*(-390)\/325\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -186 greater than -3325\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 5 + 0)*(-3 + 4 - 2) + 0 - 1 + 3 + 0 - 1 + 3 + (-5 + 2 + 1)*(-3 + 0 + 2) + 1 - 3 + 3 + 5 - 1 - 3 + 3 + 3 - 4 - 2 - 1 + 4)*(-3*g**2 + g**2 - 3*g**2).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkbwkzffffzkkffz. What is prob of sequence bkw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*n - 13. Let x(d) = 10*d - 6*d**2 + 7 - d**3 + 3 - 2*d. Let m be x(n). What is the highest common factor of m and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 303 and 557217.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Let n = t - -2. Let j = 30 + -5. Solve 0 = -4*f + k + 11, -n*k + j = -k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1*4\/14. Let c = 6.1 + -6. What is the closest to c in -5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (6 - (34 + -1 + -6))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/50*15)\/((6\/8)\/1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:15 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117295 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456) - -5*(sqrt(456) + sqrt(456)*-1))\/sqrt(12))\/(-2*(sqrt(2) - sqrt(8)*2)) + -4.\nAnswer: -4 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m - 13. Let a be f(4). Let j(h) = -9*h**3 - 3*h**2 - 4*h - 2. Let u = -3 + 33. What is the remainder when u is divided by j(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a1ad (base 14) in base 7?\nAnswer: 2344006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44085 + 66698. Is s 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 87809?\nAnswer: 277, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:45 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = 23*o - 180. Let z = 9802064\/165 - 59406. Let u = 4\/15 - z. Which is the third biggest value? (a) u (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r + 9, -5*r - 33 = 3*p. Let f(d) = d**2 - d - 1. Let v(u) = u**3 + u**2 - 28. Let l(t) = p*f(t) + v(t). Does 54 divide l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1100, 0?\nAnswer: -1100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*l = 9, -6*w + 4*w = -2*l - 10. Let q be (-2)\/w + 20\/(-6). Let k = 2.415 - 11.415. Which is the second biggest value? (a) 0.4 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 4\/(-22) + 8024\/88.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.082603 less than -145.988185?\nAnswer: -145.905582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 - -1.7. Which is the nearest to -0.1? (a) 3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22aaa4 (base 15) in base 13?\nAnswer: -45ca96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 3. Let l be a(-4). Let t be -6*(-1 + (-6 - -4)). Calculate the highest common factor of t and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = -3*d - d, 0 = 3*d + 12. Suppose u + 10 = w*u. Suppose 298 = -3*f - u*f + 2*p, -5*f + 3*p = 297. What is f rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v + 84*v - 32*v - 29*v - 22.\nAnswer: -v - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Let q = 545.1 - 545.6. What is the nearest to 0 in u, q, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (1 - 2) - (162 + -194).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5722822*l**2 - 3*l + 77347549 wrt l.\nAnswer: -11445644*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -373852 - 0.063201.\nAnswer: -373852.063201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42399 is divided by 114?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 42 - (-3 - 0). Let n = 61 - a. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/105 and -32\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01073 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 4*h - 10. Let q be w(-8). Let s be 2*(-1 + -1) - q. Suppose s = x - 0*x - 4*r, -3*r = x - 88. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 11*r**2 + 17*r - 12. Determine o(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.9028*12.\nAnswer: -130.8336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -35291 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/18408 and -151\/7788?\nAnswer: 202488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15411, -30625, -45921, -61341, -76927, -92721, -108765, -125101?\nAnswer: -141771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/6*(260\/6)\/13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (927\/135)\/((-78)\/(-36) + -2). Suppose 4*b - 212 = -5*y, -3*y - 37 = -4*y + b. Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8125, 10 in ascending order.\nAnswer: -8125, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 8*d**2 + 13*d - 2. Let k be y(6). Solve -k = -m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 499 - -797. Suppose -2*c - 4*g + 1506 = 0, 5*g + 1703 + t = 4*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 10*i + 5. Let u be v(10). Let y = 1.98 + 0.02. What is the closest to 2\/5 in y, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*w**3 + 5*w**2 + w - 14*w**2 + 3*w**2 - 51*w**3 + w**4 to the form u + y*w + s*w**3 + c*w**4 + m*w**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 670, 1, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*h + 6 = 0, 5*z + 5*h + 29 = 6*z. Let u(i) = i**2 - 5. Let j(a) = a**2 + a - 5. Let n(t) = -2*j(t) + 3*u(t). Calculate n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.111 > 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 23. Let w be c(10). Suppose -2*a + 1 = 4*g + 25, -15 = w*g. Put 4, a, 5 in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30660, -245067, -826998, -1960215, -3828480, -6615555, -10505202, -15681183?\n\"Answer: -30627*z**3 - 18*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c - 44 = 0. Let h be -12 + 19 - (-1 - 3). Let s = 53 - h. What is the remainder when s is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/4 - 1515*b**3\/4 - 58029*b**2 - 2201739*b + 47398860 = 0. Calculate b.\nAnswer: -214, -92, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13424 (base 6) to base 3\nAnswer: -2212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzezjsseejjxzye. Give prob of sequence sj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -4*l**6\/15 + 4*l**3\/3 + 5*l. What is the second derivative of t(p) wrt p?\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3588 and 118887?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 15*k**3 + 1 + 117 + 16*k**3 to the form c*k**2 + b*k + q + t*k**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**7\/35 + 2*r**3\/3 + r**2\/2 + 3. Let z(o) be the second derivative of h(o). Differentiate z(m) wrt m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 204?\nAnswer: -15\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2413061102.\nAnswer: 2, 1206530551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6794 = -19*a - 2272. What is the tens digit of a - (4 - 1)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-22)\/(-10) - (8694\/105 - 52)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160160 and 2002.\nAnswer: 160160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 102, 81\/43, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495873 is divided by 99723?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 92*j**3 - 6*j + 0 + 90*j**3 to z*j**2 + q + n*j + u*j**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 10*m**2 - 5*m + 5. What is the tens digit of h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1 (b) 3 (c) 0.5 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 0.0269662?\nAnswer: 0.1269662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-60))\/(740\/(-26640))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(3\/(-63)). What is the derivative of -t + 3*t - l*t + 2 + 3*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 186, 370, 554, 738?\n\"Answer: 184*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44429843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -36529.53 and -5.\nAnswer: -36534.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose -3*f + i + 10 = t, i = -0*f - 2*f + 5. Factor -15*n**4 - 21*n**2 + 10*n**f - 8*n - 3*n**5 + n - 37*n**3 + n.\nAnswer: -3*n*(n + 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 + -177. Let q(k) = k**2 - 8*k - 8. Let n be q(10). Suppose 14*z = n*z. Solve 4*l - 2 - p = z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/3*10\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or -0.115?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002 (base 6) in base 13?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + (-132)\/(-36). Suppose 2*r = 4*x + 44, -2*r - 4 = 4*x - 32. Suppose 0 = 4*z - 2*m - r, 0*z - 4*m + 9 = z. Is z > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -3*w**5\/40 + 767*w**4\/24 - 509*w**3\/12 - 255*w**2\/4 - 2823*w + 1. Suppose u(s) = 0. What is s?\nAnswer: -1\/3, 1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12782, 10994, 8006, 3812, -1594?\n\"Answer: -h**3 - 594*h**2 + h + 13376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + 9\/(-18)*-18 + -1 + 6. Solve -4*c - c - 7 = -3*m, -g*c + m = 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + y**2 + 4. Let i be m(0). Let o = 10 + -7. Let f = o - i. Sort f, 5, -4 in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(1\/11)*v*v\/(v*v\/v**1)*v**(4\/13) assuming v is positive.\nAnswer: v**(200\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 21*m**3 + 54*m**2 + 60*m + 24.\nAnswer: 3*(m + 1)*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8.09. Let p = 13.91 - k. Let o = p - 9. Which is the third biggest value? (a) 0.3 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45261712.\nAnswer: 2, 2828857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -2, -4, -6, -8?\n\"Answer: -2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t. Let p be d(-2). Let y(g) = g**3 + 5*g**2 - 6*g + 4. Let z be y(p). Solve 7 = -5*o + 2, z*r = -o + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1497*l**2. Let r(d) = d - 34. Let h(n) = 6*n - 187. Let g(c) = 4*h(c) - 22*r(c). Calculate k(g(y)).\nAnswer: 5988*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218.9861 + 0.0139. Let i = v - 218.762. Round i to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0.7 (b) 3\/8 (c) -0.1 (d) -2\/5 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.4, -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5 - -1) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3480, 6971, 10462, 13953, 17444, 20935?\n\"Answer: 3491*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 178*v**2 - 625*v**2 - 309*v**2 + v - v + 2*v**2 + (-7*v + v + 4*v)*(5*v - 2*v - v) - v**2 + 3*v**2 - 4*v**2.\nAnswer: -760*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17016116 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Calculate the remainder when 887 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, a: 7}. Give prob of picking 1 a and 3 z.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, w: 2, k: 1}. Give prob of sequence nk.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191876398 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + j. Let i be o(-1). Let t be i\/6 + (0 - -1). Let g = 0.1 - 0. Which is the nearest to 5? (a) 0.4 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 34, 26.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2793 and 0.2814436859?\nAnswer: 0.5607436859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 70, -4 in ascending order.\nAnswer: -4, 3, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -202234421 (base 5) in base 9?\nAnswer: -1481464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**3\/3 + 9*j**2\/2 + j - 1. What is the units digit of c(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1442, -1226, -866, -362, 286, 1078?\n\"Answer: 72*d**2 - 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, 0.4, 3, -0.4, 0.3, -151?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-54)*((-196)\/(-35))\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 2*h - 1, 0 = -4*y + 4*h. Suppose w - 5 = -2*d, -y*d + 0 = -3*w - 1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1703941 + -6.27.\nAnswer: 1703934.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q + 9. Let p be f(8). Let s be p\/21 - 2\/(-7). What is the third derivative of 7*r**s - 9*r**2 - 4*r**3 + 5*r**2 wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + v - 2 + 5*v**2 - v**2. Let x be w(-2). Suppose -x*y + 4 = -16. What is the highest common divisor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l = 70*l + 4. Sort l, -1, -48 in descending order.\nAnswer: -1, l, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 543*i**4 - 1051*i**4 + 422*i**6 + 508*i**4 - 3*i - 199*i**2 wrt i?\nAnswer: 50640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/77 and (6\/(-66))\/(14\/50*1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/151, -0.2, 55, 3, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35333 + 9615*b - 35325 + 9611*b - 19220*b.\nAnswer: 6*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 2\/5, 0.1, 2\/7 in decreasing order.\nAnswer: 2\/5, 2\/7, 0.1, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1197380, -1197376, -1197372, -1197368, -1197364, -1197360?\nAnswer: -1197356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26 + 20\/(-240)*(-768)\/(-1664)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 116 = 6*c. Let t = c - 22. Solve -5*z = -3*k - 15, -k - t + 2 = -3*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/41, 85, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 14. Let f(c) = c + 4. Let p be f(v). Which is smaller: p or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7628 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(91)\/sqrt(28)*-5.\nAnswer: -5*sqrt(13)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 403*n**2 - 342. List the prime factors of q(7).\nAnswer: 5, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5\/6 (b) 0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1682 - -15074\/9. What is the common denominator of -53\/99 and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/39)\/(221029\/(-103857)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230173896 to the power of 1\/3, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 545 divide 4290306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3919, 3916, 3913, 3910?\n\"Answer: -3*r + 3922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 795 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 1390 + 2*x**3 - 9391*x**4 + 18789*x**4 + 4*x**2 - 9399*x**4 in the form c*x + r + v*x**3 + m*x**2 + y*x**4 and give r.\nAnswer: 1390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 13*i + 7. Calculate w(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5762.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652033.5kg to tonnes.\nAnswer: 652.0335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0 + 2\/3*o**3 - 1\/60*o**5 + 1\/8*o**4 + 0*o - 3*o**2. What is the units digit of i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 6*(sqrt(68) - ((sqrt(68) - sqrt(68)*-2) + sqrt(68)))) + -4*sqrt(68)*1)\/(sqrt(2916) - -4*sqrt(100)).\nAnswer: 15*sqrt(17)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1232272607 to the nearest integer?\nAnswer: 35104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4601*h**3 - 1560*h**3 + 275*h**3 + 340*h**3 + 2577*h**3.\nAnswer: 6233*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4708129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 16*g**2 + 13*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 3*d**2 - 4*d + 2. Let i be z(4). Suppose u = -6*n + n - 6099985, -i*n + 30500006 = -5*u. Round u to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*q**2 - 726*d**3 - 255849*d**2*q + 210*d**2 with respect to q.\nAnswer: -4*d**3*q - 255849*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1485 and -13\/28?\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:09 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/3 (c) -0.031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -231000 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, -9, -63, -119, -177, -237?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*m + 112*m = 2*u - 24, -4*u + 114 = -5*m. Solve 35*j - u = 14*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Let l be (15\/10)\/(f\/16). Suppose 53 = 3*r + l. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 50*v**2 - 58*v - 362. Determine n(-51).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228520 and 60085?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h - h + 2*h + 145. Let r be q(0). Suppose -19*x + 14*x = -r. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1736637268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, p: 5}. What is prob of picking 3 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - -3)) + 2 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 1.4. Suppose -3*u - g = -3*g - 12, -g = -4*u + 11. Let z be 0 - 1\/4*2. What is the biggest value in o, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**4 - 3*u**3 + 5*u**2 - 3*u - 2. Let o(s) = -4*s**4 - 9*s**3 + 16*s**2 - 10*s - 7. Let z(y) = -14*g(y) + 4*o(y). Determine b so that z(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 411152746\nAnswer: -411152763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65\/2 - -34. Is h less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 520\/(-234) + 190\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-1 - -4) + 2. Suppose -o*r + 11 = 246. Let b = -9 - r. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 567*2*(-12)\/18. Let z be q\/(-16) + 0 - 5. Factor 13\/2*t - 1\/4*t**2 - z.\nAnswer: -(t - 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 165480 or 1?\nAnswer: 165480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 2*x + 11 - x - 37.\nAnswer: x + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-18)*21\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65145?\nAnswer: 3, 5, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 17. Let m(z) = -4*z - 1. Let d be m(-2). Let c = g + d. Solve c*w = w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 18*f. Let i(w) = 156*w**2 - 75*w**2 - 80*w**2. Calculate m(i(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b**5 - 4*b**4 - 8*b**3 + 4*b**2 + 2*b = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**2 + 3*f. Let z be h(-3). Let y = -18 + z. What is the greatest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1068, 3586, 7566, 13026, 19984, 28458, 38466, 50026?\nAnswer: 63156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/11, 1244, 20 in decreasing order.\nAnswer: 1244, 20, 2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3625 and 7975.\nAnswer: 39875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37082?\nAnswer: 2, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -120, -222, -408, -702, -1128, -1710, -2472?\nAnswer: -3438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/37)*s)**46\/(s\/(s*s*s**(-2\/3)*s))**(-36))**(-19) assuming s is positive.\nAnswer: s**(-342\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -0.3 (c) -6800 (d) -2 (e) 22\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18371411, 36742817, 55114219, 73485617, 91857011, 110228401, 128599787?\n\"Answer: -2*t**2 + 18371412*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 16*k - 5*n = -15, -4*k - 4*n = -44. What is the smallest common multiple of k and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(-3*sqrt(612) + -3 + sqrt(153)).\nAnswer: -120*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + f)*(14*f - 5 + 5)*(f + 2*f + 2*f) as n*f**2 + x*f + i*f**3 + h and give i.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59*b*n**3 - 5*b*n - b - 2*n**3 - 3*n - 2313 wrt b.\nAnswer: 59*n**3 - 5*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -1\/4025, 0, -4.13 in descending order.\nAnswer: 0, -1\/4025, -1\/7, -4.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -220.0929?\nAnswer: 220.4929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93 - 59 + 96)*(-3*v**3 - v**3 - 6907*v**4 + 6762*v**4).\nAnswer: -18850*v**4 - 520*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h**2 + h - 1. Let f(q) = 4*q**2 + 2*q - 2. Let c(t) = -2*b(t) + f(t). What is the third derivative of c(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 10414.3mm?\nAnswer: 0.0104143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - 7*m)*(-4 - 3 + 6).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-51)*116\/(-522).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-555)\/148*8\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -5*i - 1, 0 = 2*c - 4*i - 683 + 713 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 2. List the prime factors of w(-17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47161.262 rounded to the nearest 100?\nAnswer: 47200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249015 is divided by 363.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h + 10. Suppose -20 = -5*t + 5*g - 4*g, -4*g = 0. Suppose 0 = 3*w - t*v - 12, -5*w + v = -4*w - 3. What is the tens digit of n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*p**2 + 5*p - 216*p**2 + 441*p**2 - 459 - 7*p + p to b*p**2 + t + g*p and give t.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1, 0 in descending order.\nAnswer: 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 11*v + 13*v + 7*v)*(1 + 1 + 1) to r + g*v and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 3, -5, -1 in descending order.\nAnswer: 4, 3, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -0.622, 2 in descending order.\nAnswer: 2, 1, -0.622, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g\/g**(-1\/9))\/g))**(-20\/9)\/(g**(1\/5))**27)**(-1\/4) assuming g is positive.\nAnswer: g**(2087\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from rzrfzzzrz.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143.4 + -821.4. Let m = 677.071 + i. Round m to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(68) + (sqrt(68) - 3*sqrt(68))**2) + -2 + -4.\nAnswer: 10*sqrt(17) + 1354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + 2 - 2 + 0*n - 6*n.\nAnswer: 7*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*g - 6*g + 153, -2*i - g + 101 = 0. Suppose -4*b + 2 = -i. Let j(w) = w**2 - 12*w + 8. What is the remainder when 39 is divided by j(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*d - 4*k, 0 = -4*d + 7*k - 2*k - 64. Let r(n) = -16*n**2 - 11. Let i(y) = 3*y**2 + 2. Calculate d*i(w) - 2*r(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 21*w**3 - w**2 + w + 2. Let q be m(-2). Let j = -99 - q. Let f = -46 + j. Solve -3*h - f = -3*c, -2*c - 6 = 3*h + h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188\/705 + (6\/9)\/2.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (743780 + 0*d - 743704 + 2*d**2 + 3*d)*(d**3 - 6*d**3 + 3*d**3).\nAnswer: -4*d**5 - 6*d**4 - 152*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*a**2 - a + a)*(-5 + 3 + 3) + 2*a - 2*a - 2*a**2)*(-503 + 2*a**2 + 925 - 984) to the form q*a**2 + t*a**4 + w*a**3 + r*a + f and give q.\nAnswer: 2248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.21 - 15. Let y = 0.11 - n. Let l be (0 - 4) + -2 + 4. Which is the closest to y? (a) 2 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - 2*v**2 + 11*v. Let w(d) = -7*d**3 + 5*d**2 - 23*d. Let p(b) = 5*f(b) + 2*w(b). What is the second derivative of p(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/18*12\/45. Let s = 0.25 + -0.05. Which is the closest to v? (a) 1\/4 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3860 + -2282. Let i = 2799 - t. Suppose -8*m = 3*m - i. Calculate the remainder when m is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5136666901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 14*g = 15. Let d(s) = -5 - 3*s - 6*s + s - g. Does 32 divide d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611831 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8052408)\/(-5096) + 1\/(-7). Calculate the highest common factor of r and 2291.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:18 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + 0 + 9 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2505226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (0 - -4) - 1\/1. Suppose -h*d = 10 - 16. Suppose -4*w = -12, -2*y + 24 = y + d*w. Sort -1, 2, 4, y.\nAnswer: -1, 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 12*w**2 + 13*w - 18. Let g be p(-13). Let x = -30 - g. Let f be (-10250)\/3*x\/(-2). Round f to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {n: 2, e: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/929 and -44\/8361.\nAnswer: 8361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from {y: 7, q: 6}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300885 divided by 23145.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Let k(f) = -f + 4. Determine k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 877492 and 10703952?\nAnswer: 7252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 13 - -58 - (29 - -1 - 1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 36*x**2 + 57*x**2 - 6*x**3 - 34*x**2 in the form y*x**3 + w*x + i + u*x**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-8)\/14 - 96\/126\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -1\/8, 30966.1, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/3 + 412*d\/3 + 42436\/3 = 0.\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5.5, 5, -2\/7, -2, 18, 5\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Find the common denominator of (24 + i)\/((-12)\/(-16)) and 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 123.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -602325, -602391, -602471, -602571, -602697, -602855, -603051, -603291?\n\"Answer: -u**3 - u**2 - 56*u - 602267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*a**3 + 16446*a**2 - 10392849*a - 164970 = 0. Calculate a.\nAnswer: -282, -1\/63, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (-38 - (-33 - 42))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 2117, -5.\nAnswer: -45, -5, 2117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3121 (base 4) to base 13.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l**2 + 40*l + 41. Let m(i) = -3*i**2 + 8*i + 8. Let f(d) = -2*g(d) + 11*m(d). What is the units digit of f(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7406475 divided by -85?\nAnswer: 87135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2086577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67 - -249603?\nAnswer: 249558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d + d**2)*(356*d**2 + 132*d**2 + 244*d**2)*(d + 3 - 3).\nAnswer: 732*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/73718632 and 107\/820754.\nAnswer: 810904952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.45286+-0.624\nAnswer: -1.07686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*m**4 - 34*m**4 - 30*m**4 + (13 - 1 + 7)*(-4*m**4 - 3*m**4 + 5*m**4) to the form w*m**2 + a + v*m + r*m**3 + o*m**4 and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2, -34, 1 in increasing order.\nAnswer: -34, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*h + 138*h - 204*h in the form y + s*h and give s.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323 - 3?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(405)*2*-6)**2 + 1 + -5.\nAnswer: 58312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(405) - (sqrt(405) - (1 + sqrt(405)))*-6)**2.\nAnswer: -648*sqrt(5) + 2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.3718l in millilitres?\nAnswer: 993371.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-180)\/(-75))\/(4\/(-20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from maluvhvhu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*3*4 + 5)**2 + (sqrt(1053)*1 - (sqrt(13) - ((sqrt(13) - (sqrt(13) + 1)) + -1) - sqrt(13))**2).\nAnswer: 129*sqrt(13) + 1893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 125035647 and 4.\nAnswer: 500142588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*0.66\nAnswer: 0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/12)\/7*(-9)\/60\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2946 divided by -2946\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y = 21*y + 134 + 828 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**7\/840 - h**6\/72 - h**5\/30 - h**4\/4 - 4*h**3\/3 - 7. Let m(i) be the third derivative of b(i). What is m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let g = 29 + -11. Let m = g - u. What is the highest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 15 + 25)*(0*f**5 - f**5 - 8*f**5).\nAnswer: 81*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.083362 milliseconds in microseconds?\nAnswer: 7083.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 6*d**2 + 6*d - 5. What is the remainder when 61 is divided by c(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 6*g + 2. Let j be (-6 - 0) + (3 - 3). Let c be m(j). Suppose 0*r - c*x - 69 = -3*r, -5*r + 5*x = -110. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 - -0.08\nAnswer: -147.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -909*k**4*o - 158*k**3*o**2 - 5*k*o**2 - 24*k*o + 57 wrt k.\nAnswer: -10908*k**2*o - 948*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, n: 3, e: 1, a: 1, l: 1}. Give prob of sequence ael.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 197, 185, 167?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (18 - 79) + 67 + (0 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 11957648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 85*n**3 - 95*n**2 - 85*n + 90 = 0.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28.1? (a) -1\/30 (b) 0.1 (c) -0.0604\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 899642765 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 17*z - 157 - 135 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/1*((-63)\/(-3))\/252?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**3 - 604*j**2 - 391*j + 903. Determine d(-100).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -5.03?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7153?\nAnswer: 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/11)*z**23\/z*z)\/((z*(z\/(z\/(z\/(z\/(z*z*(z*z\/z**(-20)*z*z)\/z*z)))))\/z)\/(((z*z**(-14))\/z)\/z)) assuming z is positive.\nAnswer: z**(-201\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 - 7*h + 0*h**2 + 5 - 5*h**2. What is t(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2255 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from slbblsbbs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 42111092*g\/5 + 443336017358116\/5.\nAnswer: (g - 21055546)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkl. What is prob of picking 1 k and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185710?\nAnswer: 2, 5, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 30, 102, 234, 444, 750, 1170?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 60 = -10*s. Suppose 0 = -10*a - s - 8. Let g(l) = -457*l**3 - 3*l**2 - 5*l - 7. Is g(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247113 is divided by 236?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 146?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -27. Let c = 14 - h. Suppose -u + c*u = -p + 12, 0 = 5*u - 10. Solve -3 + 17 = 5*b + y, -y + p = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 + 9*c**2 - 7. Let b(n) = -2*n**3 + 4*n**2 - 3. Let i(k) = -7*b(k) + 3*t(k). Factor i(l).\nAnswer: -l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5307 + 0.1715. Let f = a + -1.7. Round f to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45212269.999979 + 45212235. Let n = 93 - 58. Let m = r + n. Round m to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**34*x)\/(x*x**(-33)*x) assuming x is positive.\nAnswer: x**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14913.\nAnswer: 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(44*f - 17*f + 12*f + (-5 - 1 + 4)*(0*f + f + f) + (2 + 0 - 3)*(-2*f + 5*f - 4*f) - 5 + 5 + f) in the form k*f + y and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 6. What is the least common multiple of c(0) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -399\/4, 0.2, -117, -3\/4, 3\/5 in descending order.\nAnswer: 3\/5, 0.2, -3\/4, -399\/4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -71.36, 0, -3, -6\/49?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-39))**23*((f\/((f**2\/f)\/f))**(38\/5))**(3\/13) assuming f is positive.\nAnswer: f**(-58191\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14919 and 30.\nAnswer: 149190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8552*d - 8557*d = -j + 24, 5*j = 3*d + 4*d + 3*j + 39 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 9 + 9)*(2 - 2 - 2)*(-9*k**3 + 9*k**3 + k + 14*k**3) + (-1 + 0 - 1)*(-2*k**4 + 385*k**3 - 385*k**3).\nAnswer: -52*k**4 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 275*h**3 + 2*h**2 - 2*h - 1. Is f(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.49 + -1.58. Which is the third biggest value? (a) -2 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7358500 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) -1532 (c) -7\/328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -27. Let h(p) = -p**3 + 4*p**2 - 2*p. Let t be h(3). Let s(y) = -2 - t*y + 2 - 4 + 6 - y**2. Calculate s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 157857\/120 + (-2 - -1). Let d be ((-1)\/(4\/(-201)))\/((-15)\/(-396)). Let k = p - d. What is the common denominator of k and 99\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k**(3\/4))\/(k\/(k*k*k*k\/((k*k**(3\/4)*k)\/k))*k)**(2\/7) assuming k is positive.\nAnswer: k**(-187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111000101110000 + -100100?\nAnswer: -110111000110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.822 + 3.29. Round l to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 10*x - 2. Let s be n(-10). What are the prime factors of s - 2 - ((-32)\/(-8) + -78)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 - 2*a + 80 + (-6 + 0 - 2)*(-3*a + 2*a + 0*a) + 2 - 2 - 3*a to g + r*a and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 + (-50)\/(-12). What is the third derivative of 4*x**2 + 4*x**4 + 10*x**r - 6*x**4 wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 197, 0.04, -14, 0.3, 3 in ascending order.\nAnswer: -14, -4, 0.04, 0.3, 3, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10577, 20484, 30391, 40298, 50205, 60112?\nAnswer: 70019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7123, 4, -5, -3 in descending order.\nAnswer: 4, 2, -3, -5, -7123","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 12. Suppose 0 = -y*l - 2*d + 19, -10 = 5*l + 2*d - 7*d. What is the third derivative of 5*v**2 + v**l + v**2 - 2*v**2 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3011691 is divided by 573.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:48 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (688\/(-40))\/((-3)\/(-5)). Let o = g + 29. Find z, given that -o*z**4 + 1\/3*z - z**2 + 0 + z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14366, 1, -6\/17, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*r + 61. Let i be r\/(-32) - (-13)\/28. Is i greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 186*z**2 - 3321*z - 15. Give f(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:14 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5519257.2ms in hours?\nAnswer: 1.533127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -680*j**4 + 98*j**4 - 7 + 7 - j**4 + 4 - 4 + (0*j + 0*j - j**2)*(j**2 - 3*j**2 + 0*j**2) in the form h*j + c*j**4 + b*j**2 + n + k*j**3 and give c.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 4604562.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7463.155 litres to millilitres.\nAnswer: 7463155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 441\/473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4*(-2016)\/1440?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 48690605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 2 (b) 0 (c) 1307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 19372 and 5182597.4.\nAnswer: 5201969.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/40 + t**5 + 21*t**4\/8 - 6*t**2 - 11*t. Factor x(j).\nAnswer: -3*j*(j - 21)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 3:53 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5461 + -5458. What is the second biggest value in 0.5, 4\/27, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008621254 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.58 - -25.58. Let g = q + -23. Let n = -13 - -10. What is the third smallest value in g, n, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3187954 is divided by 339.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-9 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39a95 (base 14) to base 13\nAnswer: -4c85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -983647, -983648, -983649?\n\"Answer: -p - 983646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g = 16. Let r = 6 - g. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 6:39 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -16 - 36. Let l = j + 16. What is the smallest common multiple of 2 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/61)*h**36 assuming h is positive.\nAnswer: h**(2194\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72203450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -38 + 6. Suppose 3*k - r*k = 0. Suppose 4*i = -5*w + 355, 3*i - 2*i - 5*w - 120 = k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11638 and 4510.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4819*c. Let b(j) = -12*j**2 - 234. What is p(b(l))?\nAnswer: 57828*l**2 + 1127646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.058334ng to tonnes.\nAnswer: 0.000000000000009058334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -7 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfkff. What is prob of sequence kf?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**2 + 2383*j + 27400?\nAnswer: -6*j + 2383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -208576896\/5*v**2 + 409923126272\/5*v - 302113344062464\/5 - 4\/5*v**4 + 47168\/5*v**3.\nAnswer: -4*(v - 2948)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2\/15, 0.11, 3848?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3\/2)\/d)*(d*d**8)\/d*d)\/((d*(d*(d*d**(1\/3)*d)\/d)\/d*d)\/d*d)**25 assuming d is positive.\nAnswer: d**(-425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -6. Solve 4*v + 4*u + 8 = -0*u, u = -2*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 89*q - 5. Does 8 divide h(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3948558 rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210300 (base 5) to base 10.\nAnswer: -6950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.649 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 7:36 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*f = 14, -510*c = -506*c + 3*f + 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, 0, 2, -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 10*d**2 - 10. Calculate w(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 1:16 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -ec (base 15) to base 10\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.2*87.\nAnswer: -7760.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**3 - t**2 - 1. Let q(y) = y**3. Let b(x) = -2*n(x) + 9*q(x). Suppose 4 + 6 = -5*k. Calculate the lowest common multiple of 4 and b(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183487705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*o**3 + 639*o**2 + 2504*o - 63.\nAnswer: (o + 7)*(o + 9)*(40*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**4 - 6*c**3 + 13*c**2 + 6*c - 17. Let t(d) = -2*d**4 - 9*d**3 + 20*d**2 + 9*d - 25. Let l(n) = 7*f(n) - 5*t(n). Factor l(z).\nAnswer: 3*(z - 1)**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135.004 + -145. Let k = w - 0.004. Suppose -5*r - 45 = 4*z, -z - 15 = -2*z + 4*r. What is the third smallest value in 0.5, z, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/46135428 and -17\/16?\nAnswer: 184541712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*v + 4*v - 234, -4*c + 238 = -2*v. Let g = -58 + c. Let q be g + (-3)\/(-2) + 3\/6. Let a(j) = j + 1. Determine a(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*y - 2, 3*y + 4 = 5*n - y. Suppose 4*o = -n*o + 20. Let r(j) = 4*j**2 + 42*j - 25. Let f be r(-11). Sort o, 2, f in decreasing order.\nAnswer: o, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 30 = -5*y. Let q = 42 - y. What is the greatest common divisor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1059107 and 3177322\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*b + 16, 4*q - b = -2*b + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(((d**(1\/2)\/d)\/d)\/d)\/d))\/d)\/(d*d**(-7\/2)*d)*(d*d*d\/d**(1\/12))\/(d*d*d**(1\/7)) assuming d is positive.\nAnswer: d**(401\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010100 (base 2) in base 14?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -115333, -114905, -114191, -113191, -111905, -110333, -108475?\n\"Answer: 143*n**2 - n - 115475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(63)*4)\/sqrt(9))**2 + -3 + 2 + (sqrt(448))**2.\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 + 60 - t**2 - 12*t + 9*t + 4*t to the form u + s*t + n*t**2 and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2980\/(-149))\/((-2)\/3*(-63)\/(-84))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 11. Let n = c + 12. Solve 0 = -0*w + 2*w + n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1141, -1201, -1261?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4735, -9473, -14211, -18949?\nAnswer: -23687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 39512*k**3 - 93049188*k**2 - 22352412544*k - 1280120267776.\nAnswer: -4*(k - 5051)**2*(k + 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.972293 to 3 dps.\nAnswer: -5.972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 29\/7, -0.3, 0.2, 2, 3\/5 in descending order.\nAnswer: 29\/7, 2, 3\/5, 0.2, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0088464 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 10. Let k be 2*(a\/3)\/3. Suppose -6*w = -5*z - 3*w - 12, -2*z + 16 = 4*w. Solve 4*b - p + 4 = z, -p - k = 2*b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/1050 and 11\/27?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1.8, 2\/17, -3.\nAnswer: -3, -1.8, -1\/2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/20*10770\/768978?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.551 times -271\nAnswer: -420.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892 = -3*x - x. Let k = x + 104. Is k\/6 + (-2)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007528 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Let f be x(3). Suppose 0*m = -f*m + 12. Solve m = -4*b + b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -615, -169, 0 in descending order.\nAnswer: 0, -169, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:36 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -65*((-144)\/1800)\/(1\/5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050563771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.232, 9, 1?\nAnswer: 0.232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2580005 = -2*u - 5*v, -3*u - 2*v + 4157731 - 287729 = 0. Round u to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3369*f**3 + 650*f**4 - 7*f + 3375*f**3 - 6746*f**3 - 387 + 7*f wrt f.\nAnswer: 2600*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581.241cm in millimeters?\nAnswer: 15812.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 44292843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 1053.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Suppose 0 = 3*b + 4*r - 38, 5*b = 2*b + s*r + 22. Solve u = 4*y + 15, -5*y - u - 11 = b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1041 and 124573.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 4. Let g be s(3). Let t(a) = -a. Let f(w) = w - 4. Suppose 0 = 20*b - 16*b - 12. Let m(v) = b*t(v) + g*f(v). What is m(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26906*l*m**2*s**3 - 9*l*m**2 + 16*l*m*s**2 + 2*l*m*s + 9*l*s**3 + l*s**2 - m**2*s + 116*m*s**2 wrt s.\nAnswer: 161436*l*m**2 + 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458.644 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = -30. Let u(h) be the second derivative of h**4\/6 - h**3\/2 - 7*h**2\/2 + 17*h. Is u(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:59 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -82, -170, -282, -412, -554?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i - 2. Let r(n) = -n**2 + 5*n + 372. Let x be r(22). Let z(b) = -6*b - 1. Calculate x*l(p) + 5*z(p).\nAnswer: -8*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32241240225 - -5?\nAnswer: 32241240233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/4 - t**3\/2 - 11*t**2\/4 + 3*t = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(891)*-3 - sqrt(11) - (sqrt(11) - 3*sqrt(1100))) + -1 + 1*sqrt(704)*-2))**2.\nAnswer: 30*sqrt(11) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 17.5. Let j = 5 + k. Which is the third smallest value? (a) -2\/7 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 7. Let n be d(0). Let f(u) = -23*u - 64. Is f(n) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = -15. What is the derivative of -39*r**3 - 4 + i*r**3 + 12*r**3 + 11*r**3 wrt r?\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8103, 8080, 8031, 7944, 7807?\nAnswer: 7608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 1.708. Let s = 0.692 - f. What is the nearest to 0.05 in -0.02, s, -0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -596*a*g*z**3 - 7*a*g + 64*a*z**3 - 23 wrt g?\nAnswer: -596*a*z**3 - 7*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 3*b**4\/16 + 4*b**3 + 87*b**2\/8 + 21*b\/2 - 54. Factor l(v).\nAnswer: 3*(v + 1)**2*(v + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7344*u - 80477. Give s(11).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 3 - 3)*(-3 - 2 + 4) + 5*j + 3*j - 2*j - 1 + (2*j + 0 + 0)*(-3 + 4 + 1) - 2*j + 1 - 1.\nAnswer: 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let y(i) = -i**2 + 6409*i + 9. Calculate y(a(c)).\nAnswer: -c**2 + 6409*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6*s + 441 = -39. Solve j - s*j + 354 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443 divided by 3263\nAnswer: -443\/3263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 40 (b) 2\/7 (c) -4 (d) -0.4 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/55 + (7 - 5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1*4 + 122. Suppose -6*m + n = -3*m. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(-2 - -1) - 2. Let l(r) = -2*r + 15. Let p be l(13). Let d = n - p. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*l - 983*l + 3889 + 78 - 367 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16099 divided by -1\nAnswer: 16099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k + 99 = -173. List the prime factors of 4\/6 + 4508*k\/(-48).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -t - 3910, 2*i - 1644 = -3*t - 63. Let r = 1096 - i. What are the prime factors of r?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*n - 350 - 918 - 5192 = -133 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 7 - 8*k**2 + 2*k - 2 - 3*k + 3*k**2. Give w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 4*i + 22. Give m(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11 (b) -5 (c) 1\/4 (d) 9143 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 33*s**2 - 22*s - 75. What are the prime factors of l(28)?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -666 + 1034. What is the remainder when q is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -20, 0, 0.4, -436, 0.31, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188475 is divided by 13462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100110100 (base 2) in base 10?\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8385 and 7869?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 4:31 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/15 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**3*x**3 - 12*o**3*x + 5*o**2*x**3 + 586*o*x**3 wrt o.\nAnswer: -18*o*x**3 - 72*o*x + 10*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169911030 to the nearest integer?\nAnswer: 13035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 97. Suppose 0 = d - 4*d + t. Suppose -111*i + 110*i + d = 0. Solve 0 = 2*n - i - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -15 + 6 + 5 - (-83 + (7 - 7))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170643, -170622, -170601?\nAnswer: -170580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101030, 101054, 101104, 101186, 101306, 101470, 101684?\nAnswer: 101954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23*-9\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 + -72. Let c = -111.9 + f. Let n = 55 + c. Is n equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041, -2072, -3103, -4134?\nAnswer: -5165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 + (-4 - 0))\/(12\/24). What is the greatest common factor of 14 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:23 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnqn when four letters picked without replacement from qnqnqn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. What is m(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/241176 and -35\/24736.\nAnswer: 964704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -52 (b) 1\/2 (c) 5990\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 6. Let y(j) = -j**3 + 16*j**2 + 18*j - 17. Let n be y(17). Suppose -5*b = 3*h + 10, n = -b - 1 + 2. Let u(i) = 7*i + 7. Give h*m(w) - 4*u(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -134*b + 889. What is the remainder when 37 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1983*f - 1245*f - 216*f - 2780*f - 646*f.\nAnswer: -6870*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + 1))*-3)**2 + sqrt(175) + 1 + sqrt(175)*2 + (3*sqrt(252))\/(sqrt(216)\/sqrt(6) + sqrt(4)).\nAnswer: 10 + 69*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5756*r - 3 + 5756*r + 191*r**5 + 23*r**2 wrt r?\nAnswer: 11460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 112?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + r - 42, 2*o - 2*r = -6*r + 42. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/6 + 4*w**2 + 2*w + 2. Let s(k) be the first derivative of g(k). Determine s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - 11?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 10*b**2 - 12*b - 11. Let i be v(-11). Let a = 0 - i. Suppose 5*n + a*n - 30 = 0. Solve n = x - g + 1, -5*g = -x + 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3064 + 12?\nAnswer: 3106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -249, -115\/6, 1?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 7360.\nAnswer: 1\/1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 - 19*p**2\/2 + 5*p. What is the least common multiple of 12 and y(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**3 - 64*u**2 - 144*u = 0.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-248)\/(-322) - 42\/49. Suppose 3*b - 2*b - 1 = 0. Is a at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhuuuuuuuuu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 - -34.3. What is b rounded to zero decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -11*n - 5*b + 1389, n + 2*b = 462. What is the common denominator of -25\/52 and n\/480*(-14)\/(-3)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115969 take away 170224.96?\nAnswer: -170225.075969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906b (base 12) to base 3.\nAnswer: 210110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*h - 0*h. Suppose 0*b - h = b. Let k = 3 - b. Solve 3*c + c = -k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-1)\/2)\/(-2). Let o(p) = -p**2 - 16*p - 24. Let y be o(-14). Let i be 4\/(-6)*30\/y. What is the third biggest value in i, -6, t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*t + 18, -2*q - 8 = 5*t - 2*t. Suppose 6*h - 60 = q*h. What is the remainder when 59 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {j: 1, z: 2, a: 9, q: 3, i: 2, o: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 275371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3090742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 2*c + 2*c)*(-4*c + c + c)*(-2*c - c + c) - 6*c**4 + 6*c**4 - c**4 + 2*c.\nAnswer: 7*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 = 3. Let v = -8 - -8. Solve 0 = -5*b + 4*w + a + 2, v = 4*b - w - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59931761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + g + 3 = 0, -2*g + 0*g = -5*m + 21. Suppose -5*w + 28 = 4*x, -2*x + 2*w = -6*x + 16. Solve 7*r - m = x*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*q - 12 = 0, -3*b = 2*q - 7*q - 34. Suppose 5*m = 2*v - b - 2, -v + 2 = -3*m. Solve 15 = -5*c + 5*g, 2*g = -c + 2 + m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8968342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*g = -1128, 0 = 3*f - 369*g + 372*g - 1152. What is the least common multiple of 760 and f?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*v + (3 + 4 - 5)*(0 + 0 + v))*(3 + 3 + 2).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 1135186?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = d + 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 5*y**4 + 3*y**4 - 6*y**4 + (-2*y + 6*y - 2*y)*(8*y + y - y)*(-4*y**2 + y**2 - 2*y**2) as t + i*y**3 + o*y + a*y**2 + g*y**4 and give g.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 2*k**2 - 2*k**2 + 4*k**2 - 2*k**2 - k**2 + (k - 4*k + 5*k)*(-k + 0 + 0) + (0*k - k + 4*k)*(0*k - 2*k + 3*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x + 7*x + 17*x = -1173 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*b + 3*m, -b + 0*b - 5*m = 0. Let g(n) = -644*n - 160. Let o be g(b). Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 26182*v**3 - 13002*v**3 + 0*v**2 - 13183*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*v**2 - 75*v**2 - 17*v**2 + 20*v**2 as j*v**2 + n*v + a and give j.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201868 and 34226?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(3\/1)*37\/(-2997))\/(82\/41)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2353 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9813057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -38.3. Let l = -3.7 - -38.7. Let x = m + l. Put x, 0.3, 5, 4 in descending order.\nAnswer: 5, 4, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (6 + 1)*68\/(-119)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaearftaa. Give prob of picking 2 a and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 162\/(-12)*(-4)\/(-3). Let a(z) = -z**2 - 22*z - 3. Does 19 divide a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 28 + 82*n + 75*n - 176*n.\nAnswer: -19*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 32. Let k = l - 33.8. Let u = -11\/5 + 27\/10. What is the smallest value in u, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 4*a + 2*a**3 - 2*a + 0*a**3.\nAnswer: 2*a**3 + 2*a + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 + 7\/6*w**4 + 1\/3*w**3 + 0*w - 29\/60*w**5 - 29*w**2. Find the second derivative of a(k) wrt k.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -6 + -1*6*-1. Suppose -g - 3*z + 1 - 2 = 0, 0 = d*g - z - 17. Suppose -g*a = -5*m - 120, -4*m = 2*a - 44 - 28. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-15)*y**(-2\/25)*(y**(-2\/7)*y)**(-13) assuming y is positive.\nAnswer: y**(1161\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2019050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1748 - 1496 = 42*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9899619um in kilometers?\nAnswer: 0.0000000009899619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4147 and -375?\nAnswer: 1555125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(104)*3)\/sqrt(8)*6 + 4)**2.\nAnswer: 216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(3*-5*-1*sqrt(176) + -1)*1*1)**2.\nAnswer: -1920*sqrt(11) + 633614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -11283\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 5*d - 4*c, 0 = -4*d - 123*c + 126*c + 32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4900 + 48953\/10. Find the common denominator of h and 1 + -1 + (-22)\/(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -2\/7, -1, -2\/81?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**4\/4 + o**3\/3 + o**2. Let q be y(2). Suppose 4*s - 6 - q = 0. Solve 2*g - s = k + 5, -2*g + 4*k + 22 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2343892 divided by 23\nAnswer: -2343892\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1782)\/sqrt(11) + ((sqrt(50) + 1)**2 - (sqrt(12)\/sqrt(2))\/sqrt(3)).\nAnswer: -18*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209822542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 27, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25*3)\/5 + 6. Let b be (-2 - -4)*i\/108*4. Let o = 1.2 + -0.7. What is the fourth smallest value in -0.4, o, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-3 - -2) + (-2 - -2)). Suppose -1 = -b, -2*b + 2 = -i - p*b. Suppose i = -155*n + 150*n + 340. What is the highest common factor of 34 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5703.\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.116 + 0.884. Let x = -3 + 6. What is the nearest to -1 in o, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -411422*u**2 + 1 - 2*u**4 - 5*u**3 + u + 411422*u**2 in the form n + c*u + t*u**2 + o*u**3 + r*u**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8341, -16687, -25045, -33421, -41821, -50251?\n\"Answer: -z**3 - 8339*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 - 338 = 64*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from qamoqqqarozzoaqqqorq.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5010 divided by -334?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*h - u, 4*h - u + 0*u = 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.12 in -11, -5, -1\/207?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 3*b - 12, 5*p - 4*b - 26 + 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77493297 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 17*d = 1516. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(700) + 0 + -1 + sqrt(700) + -3 + (-5 + -1 + sqrt(700))*6)**2*-5*-5.\nAnswer: -160000*sqrt(7) + 1160000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1.06492\nAnswer: 0.53246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-12 + 19 - -6) + 12.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 288 - 213. Solve 21*k - 62 = -c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - x = -6*j - 116, -5*x = -4*j - 151. Calculate the remainder when 64 is divided by j\/(-6)*(2 - (0 + 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -162 (b) 1 (c) 2\/7 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 30. Let p be f(9). Solve 2*k = 4*b + 10, -b + 3*b + 3 = p*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/21 + 898*n**2\/7 - 2708*n\/3 = 0?\nAnswer: -1354, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 217. Suppose -3*b + 5 = -2*b. Calculate the remainder when b is divided by (-2)\/(-6) + s\/(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 52, -7\/4, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 3, p: 5}. What is prob of sequence nono?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 7*m + 3. Let l be h(7). Let j = l - 3. Suppose -16 = -4*x - j, 4*y = -5*x + 8. Which is the smallest value? (a) 1\/3 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25479126.\nAnswer: 2, 3, 1415507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-2) - (0 - -2). Let v = c - 28. What is the smallest value in v, -9, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166167 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = l + 605, -2*l + 623 = -3*l + 2*s. Let a = l - -1051. Suppose -15*k + 2311 = -a. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 - 181. Let z = r - -96. What is the remainder when z is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 211?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b9 + 11?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 69 - 1 = 0. Let b be 231\/q*(-4)\/(-6). Suppose -3*t + 5*t - 66 = 0. Calculate the greatest common divisor of t and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 16*b**2 + 1\/36*b**4 - 1\/30*b**5 + 1\/180*b**6 - 1\/252*b**8 + 0 + 0*b**3 + 0*b + 1\/105*b**7. Suppose u(l) = 0. Calculate l.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -406, -485, -414, -145, 370, 1179?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**5\/5 + 34*b**4\/5 - 8*b**3 - 4*b**2 + 44*b\/5 - 14\/5 = 0.\nAnswer: -1, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 120*a**2 + 378*a + 472*a - 49*a**2 - 531*a**2 - 5*a**3 + 90*a = 0.\nAnswer: -94, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/3200 and -187\/74006400.\nAnswer: 74006400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11362750 to the nearest integer?\nAnswer: 3371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427 - -449 - (-4 + 75).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 j when three letters picked without replacement from {z: 7, x: 6, j: 6}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*p*q**2 + 6*p*q + 106*p wrt q.\nAnswer: 50*p*q + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 1*sqrt(1053) - 1*sqrt(13)*-6.\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160880 divided by 4.\nAnswer: 290220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -465999 - -2945999. Round k to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 26. Let v be h(-14). Let a(z) = -15*z + 0*z**2 - 17*z - z**v + 35*z + 4. Let m be a(0). Solve q + 16 = 3*r, r - m = -q - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**3 - 2*u**2 - 2*u + 62. Let h(d) = 9*d**3 + 4*d**2 + 2*d - 82. Let o(t) = 3*h(t) + 4*q(t). Let j be (-1 + 0)*-1 - -3. Calculate o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 2\/3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 848549902 at least as big as 848549902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:22 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22463 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**2\/2 + 20*d + 27. Let m be r(-8). What is the first derivative of 30*w**2 + 3*w**2 + w**2 - m wrt w?\nAnswer: 68*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112703 is divided by 371.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, p: 7}. Give prob of picking 4 v.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 533839, 533919, 534035, 534205, 534447?\n\"Answer: 3*j**3 + 59*j + 533777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**2 + 74*h + 74. Let x be m(-1). Solve a + 8*a = -x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, s: 3, p: 2}. Give prob of sequence rp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -50860+12\nAnswer: -50848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-3) + 9)\/1. Let m = 4 + b. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 2*z)*(z**4 - z**2 + z**2) + 374*z**5 + 132*z**5 - 49*z**5 + (-9*z**3 - 2*z**3 - 2*z**3)*(-z + z + 2*z**2).\nAnswer: 432*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.5 - 1.2?\nAnswer: -32.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**3 + h**2 + 53*h - 29. Let n(o) = -8*o**3 - 35*o + 19. Let v(u) = -7*n(u) - 5*s(u). Does 2 divide v(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 6) to base 9.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 5*n**2 - n. Suppose k + k = 6. Suppose 2*s = -7 - k. Let h be o(s). Is h smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5246 = 1191*j + 30257 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + (sqrt(133) + (sqrt(133)*2 - sqrt(133)) + sqrt(133) - sqrt(133))*6))\/(2*sqrt(7)*5).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -1449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -48492.863 rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -293. What is the greatest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 16 = -6*c - 4*s, -2 = c - 3*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a - 14*a + 7100 = 0. Calculate the remainder when a is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 39. Let f(i) = -3*i**2 + 39. Calculate 4*f(r) - 5*p(r).\nAnswer: -2*r**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2013 is divided by 665?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (8 + -3 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 62. Suppose 0 = 3*h + 3*m + 3, -3*h + 2*m = -i + 12. Let r(g) = 0 - h - 3 + 6. Let d(l) = -l - 2. What is -d(w) + 2*r(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*p + 9. Let z(v) = -v**2 + 7*v - 10. Let c be z(p). Solve 2 = q - 7*h + 3*h, 5*q - c*h - 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -45. Let g(o) = o - 12. Let j(l) = l + 1. Let u(t) = -g(t) + 2*j(t). What is the lowest common multiple of u(w) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.9001672 - -14.9. What is f rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32239764 divided by 1044?\nAnswer: -30881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -657 (b) 5\/2 (c) 0 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -20*a**3 + a + 1. Let n be x(-1). Let r = 39 - 39. Suppose 5*y + r*y = 0. Solve y = 3*j - 8*j - n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 49. Suppose 0 = -3*w + 9 + 18. Let t be v(w). What is the units digit of 5\/t*-14*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 6*v + 5*v)*(28*v - 79*v - 36*v).\nAnswer: -348*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4969042500*v**2 - 4969042506*v**2 + 9938085008*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzx. What is prob of sequence uzx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 740*s**3 - 454 + 743*s**3 - 1481*s**3 in the form b + u*s**3 + h*s**2 + k*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + l**2 + 334*l + l**2 + 336*l to b + h*l**2 + j*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-8)*(-64)\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234 - 1234 - 4*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 421058 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538376 is divided by 142?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -71*j**5\/20 + 241*j**3\/3 + 2*j**2 + 16*j. What is the first derivative of f(t) wrt t?\nAnswer: -426*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4867304.\nAnswer: 2, 13, 17, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 48062736.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let x be (-1 + g - -7) + 1. Suppose -8 = -x*p + 3*p - d, 5*p - 10 = -4*d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3419 = 59*n - 3. What is the remainder when 1402 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 55. What is the second biggest value in v, 3\/5, 0.06?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87156079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -98*z**2 - 35*z + 44. Let o(r) = -100*r**2 - 32*r + 33. What is 4*o(s) - 3*v(s)?\nAnswer: -106*s**2 - 23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a + 102 = 3*j - 89*a + 170*a, -3*a - 105 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88447 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533770 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p - 3*p - 7*p**2 - 7*p in the form k + w*p + m*p**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2901 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333104 and 374742?\nAnswer: 2997936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 14*t - 30. Suppose -t*m + 33 - 3 = 0. Solve -2*w = 2*f - 0*w - m, 2*w = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 1:21 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184252 is divided by 321?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -0.03054.\nAnswer: 0.79404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -492309*g**5 + 428*g**3 - 2*g**2 - 45329104*g + 1 wrt g.\nAnswer: -29538540*g**2 + 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.112 bigger than -2762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 - 4*u - 4. What are the prime factors of r(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9803, -3 in descending order.\nAnswer: 9803, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -112121 (base 3) to base 14\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*w**2 + 21*w wrt w?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*j**2 - 348*j**2 + 2 - 2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 190*j - 3323. Give c(8).\nAnswer: -1803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/4 or -74127?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let f(o) be the second derivative of -275*o**4\/12 - 55*o. What is f(g(b))?\nAnswer: -275*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 30*w**2 - 3*w - 87. Let r be (-183 + 18)\/15 + -19. Calculate u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52370.\nAnswer: 2, 5, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309799 is divided by 61926.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 e when four letters picked without replacement from eededddd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1056004\/161 - 6559. Let a = o - -2\/161. Let s(i) = -i**2 - 6*i - 1. Let n be s(-6). Does n = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4 - 1977*y**3 + 25146*y**2 + 31092*y - 54264 = 0.\nAnswer: -2, 1, 14, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -486 in -0.1331, 24, 2?\nAnswer: -0.1331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00061323 to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*i - 19. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -26*q**2 + 8*q**2 + 6*q**2. Let p(v) = -3*v. Determine d(p(b)).\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*q - 33*q + 310. List the prime factors of q.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 - 1. Suppose -4*x + 18 = -x. Suppose -x*u + 13 = -i - 2*u, 0 = 2*i + u - 10. What is g(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**2 - 4*p**2 - 4*p**2 + p + p**2 - p + (p + 3*p - 3*p)*(2 + 2*p - 2) - 3*p**2 - p**2 + 5*p**2 + 1789 - 48*p**2 - 1789 + 2*p - 2*p - 2*p**2.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 11. Let i be w(8). Suppose i*l + 477 = 6*l. List the prime factors of l.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13*x**2 + 4*x - 12. What is the tens digit of f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.4, -8.2, 3, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (444\/(-10))\/(-108*(-61)\/10980).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 + 4. Let v be h(0). Suppose v*q - 6 = 2*q. Suppose u + 2*l + 0*l = 32, -q*l - 3 = 0. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -110.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - ((-14 - -15) + -5 + 8 + -51)) + -7?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27291, 54577, 81863, 109149, 136435, 163721?\nAnswer: 191007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-80) - (-607)\/1555. Let x = z + -469\/15861. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 23524002503?\nAnswer: -23524002501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8072, -8055, -8052, -8069, -8112?\n\"Answer: -o**3 - o**2 + 27*o - 8097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6732*i**3*n - 110*i**3 - 3*i**2*n + 3*i**2 + 3*i*n + 4*i - n wrt i?\nAnswer: -40392*n - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 138*r + 26654. Let k be n(155). Let p(u) = -4 - u - u - 11. Determine p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g - 71. Let v be b(-5). Let h be (12\/v + (-8)\/3)*-23. Is h > 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3087*a**3*d + a**3 + 16*d + 49 wrt a?\nAnswer: 9261*a**2*d + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 2*r**3 + 0*r**3)*(10*r + 0*r - r) + (-106*r - 34 - 103 + 104*r)*(3*r**3 + 5*r**2 - 5*r**2).\nAnswer: -24*r**4 - 411*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*n - 15. Let m = 15 + n. Suppose -5 = -4*b + m, 0 = -2*j - 4*b + 412. Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 18}. What is prob of picking 3 z and 1 i?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -6788\/7 (c) -1 (d) 0.5 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 9*k. Let x(d) = 83*d + 87*d - 361*d + 92*d + 72*d. Determine x(z(a)).\nAnswer: 27*a**2 + 243*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -9*t + 4*t + z, -8 = -2*z. Suppose 5*p - t = p. Calculate the highest common factor of 80 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a + 1. Let d be t(0). Let i(z) be the first derivative of -z**5\/15 + 2*z**2 + 5. Let v(j) be the second derivative of i(j). Give v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 16377 = 27308. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*s + 1018 - 1052, 3*x - 4*s - 18 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2431 and 2530.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 14 = -2*k, g + 49 = -k + 4*k. Let s be (1 + k)\/(-1 - -2). Calculate the highest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32252248 to the nearest integer?\nAnswer: 5679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001001111110100 (base 2) to base 4.\nAnswer: -221033310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*(-4 + -2). Let a = -2 - z. Sort a, -3, 2 in increasing order.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9491*n**2 - 13. Let l be z(-5). Let r be 62738\/(0 - (-2 - -1)). Suppose 3*q + l = -r. Round q to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3\/2 - 369*t**2\/2 - 2280*t + 195750 = 0 for t.\nAnswer: -90, -58, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - 29. Let k = y + 112. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1457, -2408, -3535, -4838, -6317, -7972?\n\"Answer: -88*x**2 - 687*x - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 = 4*n + 4*y, 286 = -n + 9*n + 795*y - 791*y - 94 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -17*q**3 + 9. Let o(c) = 6*c**3 - 3. Suppose -2 + 14 = 4*u. Let r(x) = u*g(x) + 8*o(x). Differentiate r(h) wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 112?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**7\/21 - 433*k**6\/30 + 7*k**4 - 153*k - 1. What is the third derivative of m(z) wrt z?\nAnswer: 120*z**2 - 10392*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 3*f - 12, 5*q = -2*f + 27. Let o be (1 - -2) + (-20)\/2. Let z = q - o. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:30 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -79 - -73 - -8*(-2)\/(-2). Sort 4, p, 1156 in descending order.\nAnswer: 1156, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142344.\nAnswer: 2, 281, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = -3*k + 5*c - 82, k - 115 = c. Let i = 9 + k. What are the prime factors of i?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3198 and 4018?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55792 + 31772. Is i\/(-5) + -5 + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 4*b + 7. Calculate m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 16) in base 3?\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*x - 5 - 4 + 9.\nAnswer: 304*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138957 + 17946 = -4*s - 16055. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 4*a - 36 + 66 to the form t + z*a and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.6042 to 1 decimal place.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - m - 2*m)*(-43 + 10 + 10)*(m + 2*m - 4*m).\nAnswer: 46*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -208.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03532 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 527 in increasing order.\nAnswer: -1, 2, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/664 and 23\/3984.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 2*p**7\/35 - 39*p**6\/50 + 27*p**5\/50 + 79*p**4\/20 + 9*p**3\/5 + 3*p + 3. Solve z(r) = 0 for r.\nAnswer: -1, -1\/4, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/539 + (-2)\/(-7)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187.4595 + -1.5405. Sort 0.14, c, -4 in ascending order.\nAnswer: c, -4, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 4*y + 52 = 122 + 492, 0 = 50*y - 49*y - 3 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -643.18 rounded to the nearest integer?\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**7\/525 + g**6\/150 - g**4\/30 - g**3\/15 + 3*g**2 - 3*g. Let n(x) be the first derivative of v(x). Factor n(m).\nAnswer: 2*(m - 1)*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2 + h**3 + h**3 - 2*h**2 - 3*h**3 + 4*h + 2*h**3. Suppose 63*n - 122 - 5 = -1. Give o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156.6 - 172. Let b = x + 15. Which is bigger: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17227123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19*x**3 + 9. Suppose -m + 5*w = -41, 871 = 3*m + 3*w + 928. Let v(o) = 9*o**3 + 4. Suppose h = -0*h + 4. Calculate h*y(g) + m*v(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - y = 5, 0 = 3*x + 37744*y - 37742*y + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11524 - -11540. Solve 0 = x*a + 630 - 502 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -42.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5172 (base 10) to base 15\nAnswer: -17ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**3 - 5*j**3 + 31*j**3 - 10*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 224 = -0. Let r = -294 + 72. Let t be 4\/m - r\/14. Solve -t = 4*a - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180*(-1)\/(-6)*(-8)\/(-100)*(-1)\/3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1108 + 2588 + 0*y - 1290 - 2*y**3 + 3*y**3 + 2*y**2 - y as c*y**3 + q*y**2 + t + h*y and give t.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) - (sqrt(5) + sqrt(15)\/sqrt(3))) + (sqrt(108)\/sqrt(4))**2 + ((sqrt(189) + sqrt(21))\/sqrt(7) - sqrt(21)\/sqrt(112))*-4.\nAnswer: -16*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 448*s**2 - 17*s - 23. Let p(z) = 447*z**2 - 16*z - 23. Let u(d) = -2*j(d) + 3*p(d). Let x be u(13). What is x rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 21*a - 11*a. What are the prime factors of 5*(-26)\/(-5) + a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1759 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 300\/(-42))\/((-4)\/14). Suppose 0*u + 4*u - p*v - 780 = 0, 2*u = 5*v + 399. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/42*(-28)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11620921?\nAnswer: 13, 893917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34712407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1252, -1261, -1304, -1405, -1588, -1877, -2296, -2869?\n\"Answer: -4*u**3 + 7*u**2 - 2*u - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401461 - 1770590 = -17*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 459\nAnswer: -91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l. Let g(t) = -t - 1. Let c(v) = -3*g(v) + x(v). Let i(u) = 4*u + 1. Give -3*c(p) + 7*i(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 221112010012100?\nAnswer: -221112010012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847) + sqrt(847)*-2 + 4*(-1 + sqrt(847) + sqrt(847)) + 3)**2 + (4 + (-4*(sqrt(847) + -1) - sqrt(847) - -6*-2*sqrt(847)))**2.\nAnswer: -3146*sqrt(7) + 286351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 81*s + 82 - 158 to i + n*s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -575.6?\nAnswer: 575.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4 - 4*c**3\/3 + c**2 + 7*c + 1. Let w be (-3*(-3 + 2))\/(12\/(-16)). Is b(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 3\/7, -0.3, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -20*p + 11*p + 8*p. Let k(n) = -35*n. Calculate h(k(r)).\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 6. Suppose r + 2*p = 3, 4*p + 6 = -r + 15. Let x(d) = -d + 1. Let u(h) = r*g(h) + 15*x(h). What is the units digit of u(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 2*m**2 + 2. Let n be s(2). Let o = 14 - n. Let j = -20 + 36. Solve 3*p + o*a = -0*p - 11, 3*p - a = -j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(208) + ((sqrt(832) + 3)**2 - sqrt(13)) + 3*(sqrt(91)\/(sqrt(7)*-2))**2*3.\nAnswer: 59*sqrt(13) + 3481\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 3*p**2 - p - 1. Let w be f(-2). Let d = w + 20. Is -4*(9\/(-6) + d)*479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttm when three letters picked without replacement from tmtmmmmmmmt?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-40))\/(2\/(-5)). Is -2 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76996 by 19249.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -252, -46, 158, 360, 560?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 0*b + 2*b)*(-15*b + 10*b - 43*b + 3*b**2) to the form g*b**2 + c*b + a + u*b**3 and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.80937, 2, 7, 4, -2, 1\/5, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o. Suppose 5*c + 0*n + 15 = -4*n, -4*c = -5*n + 53. Let v be h(c). Suppose -k + v = -0*k + 5*z, 4*k = -4*z + 72. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21805982, 43611960, 65417938, 87223916?\nAnswer: 109029894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from {o: 1, j: 2, f: 1, b: 1, g: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1005 - -1080. Let x be ((-76)\/(-5))\/((-7)\/(-35)). Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) -4 (c) 9 (d) -0.822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 1 = -d + o, -4*d + 6582125 - 6582197 = -6*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2 + 6 - 4 - 5272*c + 5271*c. Let y = 18 + -12. Let k(a) = 6*a + y*a - a. Determine v(k(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -212, -2 in descending order.\nAnswer: 13, -2, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 64 = -2*x, 2*x - 3*w = w + 44. What is the tens digit of (663\/x + 6\/15)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46756912 rounded to the nearest one hundred thousand?\nAnswer: 46800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 629 and 152983.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87191 less than -305.2?\nAnswer: -87496.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f - 43. Let i be n(4). Put 13, 0, i, -1 in ascending order.\nAnswer: -1, 0, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/1310 and -61\/56?\nAnswer: 36680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let u be (-4)\/6*9\/(-6). Let o(f) = -10*f**3 - 2 + 8*f**3 + 3*f**3 + 3*f. Let g(y) = y + 1. Let t(n) = u*o(n) + g(n). Calculate -2*q(h) + t(h).\nAnswer: h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/(30\/(-60)). Suppose 8 = 3*s - 2*s + q*m, -3*m + 17 = 2*s. Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 688, -149, 3, -4, -5 in descending order.\nAnswer: 688, 3, 2, 1, -4, -5, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.411 + -4.589. Let n = -8 - -6.9. Let t = n + -2.9. Which is the smallest value? (a) t (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + -4 + 5*sqrt(48))*-3)**2.\nAnswer: -2736*sqrt(3) + 39132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 70. Put h, 0, 24 in descending order.\nAnswer: 24, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374530982 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -174*d + 145. Let x(u) = u - 1. Let l(g) = -o(g) - 145*x(g). Let a(j) = -7*j. Calculate a(l(i)).\nAnswer: -203*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -8*k**3\/3 - k. Let t(v) = -v**2 + 6*v. Let j(o) = -o**2 + 5*o. Let w(f) = 6*j(f) - 5*t(f). Determine r(w(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 22*l + 13 = 43 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*f + 784, -2*f - 38 - 2338 = -3*h. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76902694.\nAnswer: 2, 11, 3495577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2015, 1676, 1339, 1004?\n\"Answer: i**2 - 342*i + 2356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 2*r + 1. Let o be x(2). What are the prime factors of -2 + o + 40 + 5?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374117.\nAnswer: 374117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1725581*l**2*x + 100901*x + 4 wrt l.\nAnswer: -3451162*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/20 and 21\/(-2)*30\/(-170).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + r**2 - r. Let u(d) = 4*d**4 - 3*d**3 - d**2 - 3*d. Let i(f) = 3*n(f) - u(f). Let i(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -17, -0.1, 1, -1\/350, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -44*s**2 + 8*s + 63. Let h be a(0). What is the greatest common divisor of 8253 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 67\/4115 (b) 5 (c) 2\/151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 23*m - 7. Let q be (1\/2)\/((-8)\/288). Let x be b(q). Let u = x - -174. What is the highest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 3*k = -3, k = 4*q - 38. Suppose q*u + 29 = 344. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01156 and -32547.\nAnswer: -32546.98844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 f when three letters picked without replacement from hdqmqfuf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105273 and 14893623.\nAnswer: 5013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-10))\/((-669)\/3345). Which is the second biggest value? (a) 861 (b) t (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l - 1963 = 17945 - 3542. Calculate the remainder when 7514 is divided by l.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*p**3*x**3 + 1508*p*x**3 wrt p?\nAnswer: 510*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/10 - i**2 - 56*i. Let q(c) = 1 - c - 1. Calculate q(f(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*v + 10, -j = -4*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 42*b - 13. Let g(w) = -4*w + 4. Suppose 2*t = -4*y + t, 0 = 4*y + 5*t. Let p be g(y). List the prime factors of q(p).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 5*b = 18*r + 17, 4*r + 10 = 2*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.027, 13, -9, 2\/3, -2, -1.8, -2\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33370 and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-729)\/(-36)*(-9352)\/(-4509).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1628?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -845*o - 560*o + 70250 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -5\/3, -2\/7, 1, 0.4 in descending order.\nAnswer: 1, 0.4, -2\/7, -3\/2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -984 - 821 = -5*x. Suppose -5*o = x - 101. Calculate the least common multiple of 5 and 2\/(-5) - o\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h - 9 = -3*g, 5*h + g = -13. Put h, -2, 2, 13 in decreasing order.\nAnswer: 13, 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6687*k + 23 = 4*j - 6690*k, -2*j + 3*k + 19 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46505 and 7100?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hknnk. Give prob of picking 1 h, 1 k, and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*m + 5*m, -3*l + 58 = 2*m. Suppose 0 = -5*s, -4*s + 36 = -4*u + 12. Let f be u*((-4)\/(-6))\/(8\/(-6)). Solve 5*d = b - l, 0*b - 2*b + f = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - p. Let o(q) be the first derivative of 4*q**3 - 11*q**2\/2 + 213. Give -6*o(c) + 66*z(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*k**4 + 27*k**3 - 29*k**2 - 4*k + 15053 wrt k.\nAnswer: 384*k**2 + 162*k - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4*m + 12, -2*m + 12 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -71352*z**2 - z - 2. Let j(l) = -5*l. Calculate y(j(k)).\nAnswer: -1783800*k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5259.561 decades in millennia?\nAnswer: 52.59561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*((-34)\/578 + 54534\/(-34)).\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -932*h**4\/3 + 3*h**3\/2 - 71*h**2\/2 + 20*h + 49. Find the second derivative of f(m) wrt m.\nAnswer: -7456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 = 190*v + 94 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -11 + 76\/15*p**2 - 1\/30*p**4 - 32\/3*p - 32\/45*p**3. Determine f so that w(f) = 0.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.47 + 0.76. Let z = k + 0.7141. Round z to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8155, 32447, 72931, 129607, 202475?\n\"Answer: 8096*j**2 + 4*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/15 or 0.642?\nAnswer: 0.642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.532247 and 4.\nAnswer: 2.128988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6424*w + 5. Let n(u) = -6411*u - 3. Give 2*d(z) + 3*n(z).\nAnswer: -6385*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4644 divided by 1.\nAnswer: -4644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -85242.9.\nAnswer: 2386801.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10702659343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-63)\/(6\/2). Let j = a + -17. What is the derivative of j + 0*b + 3*b - 9*b + b wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 5) to base 7\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 1461*i - 103917. Determine l(63).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.085754*-0.906.\nAnswer: -0.077693124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*y - 33*y + 56 - 56 in the form q*y + p and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/56 + (-50)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 71.222?\nAnswer: 71.222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2 - 46144*c + 46140 = 0.\nAnswer: 1, 11535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -2 (c) -1\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/1476 and -115\/4524?\nAnswer: 556452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 3. Let b be g(-5). Let a be 5599\/8 + b\/16. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*k - 157, -5*k + 305 = 5*h + 70. Let g(i) = 35*i - 8 - i**2 - 25*i + 18*i**2. What is the remainder when k is divided by g(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18591, -18586, -18571, -18540, -18487, -18406, -18291, -18136?\nAnswer: -17935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - 2*q - 2*q)*(-q + 2*q + 0*q) + 183*q**2 + 4280 - 4280 as y + k*q**2 + s*q and give k.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 4.222.\nAnswer: 2.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 104*d + 12. Let c be t(5). Suppose 5*a + x + c = 4*x, 4*x = -a - 111. Round a to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**2 + 44*f + 936 wrt f.\nAnswer: 12*f + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 5. Let q be y(0). Let k be (-1)\/(-1) - (6 - q). Let z(x) = 0*x + x + k*x - x**2. Determine z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**28)\/h)\/h**11*((h\/(h\/(h\/(h\/(h\/((h**(-39)*h*h)\/h))))))\/h)**(-9) assuming h is positive.\nAnswer: h**(-381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2279 and 0.0544854.\nAnswer: 2279.0544854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 138. Let x(u) = 1 - 1019448*u**2 - 1 + 1019442*u**2. Give x(m(k)).\nAnswer: -24*k**4 + 3312*k**2 - 114264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 80*y**2 + 3*y**3 + 4*y + 58*y**2 - 140*y**2. Let r(b) = 16*b**3 - 11*b**2 + 20*b. Determine -11*a(c) + 2*r(c).\nAnswer: -c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -3, 3798.2, 41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*s = 39, 0 = 3*z - 5*s + 5 + 4 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19310046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.65695 and -6?\nAnswer: 7.65695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/37)\/(3564\/(-66)*(-2)\/(-8)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 8. Let i be b(-5). Let q = -3 - -7. Solve 2*j + 4 = 4*j - 2*f, j + q*f - i = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {q: 5, o: 9, d: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-2)\/3)*0. What is the third smallest value in 0.2, -0.02, q, -11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7453508093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -57. Let a be ((-111)\/p + 5)*-2. Put 3, -0.5, a in descending order.\nAnswer: 3, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77652*b - 77677*b + 350 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 12*r**2 + 12*r - 5. Determine i(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsi when three letters picked without replacement from arassppsirpprr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930349988?\nAnswer: 2, 732587497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1) + (16 - 35) + 17. Solve -3*k - a = -2*d, -3*k - 2 = -d - 0*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000581 rounded to 5 dps?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 300, 299, 298, 297, 296?\n\"Answer: -q + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 15*c - 1499*c**2 + 1499*c**2 to j*c**2 + o + a*c + p*c**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69006789 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 1697*n**7\/70 - 825*n**3 - 785*n**2 + 1. What is the derivative of j(z) wrt z?\nAnswer: 20364*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 0, 4*q + 0*h = -5*h - 28. Let o = q - -10. Solve 15 = 3*s - 3*u - 0, -o*s + 19 = -4*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-2) + (-7 - -7)\/(-5). Let b(i) = -236*i + 250. What is the tens digit of b(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 11\/3*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179 + 183. Solve 5*r + 16 = 5*a + r, n*r + 12 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -65. Which is the second smallest value? (a) -0.1 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44127423079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 210\/45 + (-2)\/3. Suppose 70 = 3*y + j*y. Let w(q) = 26*q**2 + 3*q + 3. Is w(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*8\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*n**6 - n**5 - 13*n**2 + 1.\nAnswer: 1080*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 1. Let z(x) = x**2 + 4*x + 2. Let r be z(-2). Let h be d(r). Does 11 divide 5\/(h\/22) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64033379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 748.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nocm when four letters picked without replacement from {n: 1, c: 7, o: 1, u: 5, m: 1}?\nAnswer: 1\/4680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 + 2.34. Which is the second smallest value? (a) 0 (b) s (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-f**4 + f**2 - f**2) - 4*f + 4*f + 4*f**4 + (0*f**4 + f**4 + f**4)*(3 - 1 + 1).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 6*w - 21. Let l be n(9). Suppose l = -j - 3. Calculate the common denominator of 6\/7 and -1*5\/(75\/j).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2589280909 + -0.02\nAnswer: 2589280908.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1001243?\nAnswer: 1001244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8 - 15\/(-4). Suppose -u = x + 2*x + 35, -80 = 4*u - w*x. Let c = u - -35. What is the greatest common divisor of c and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -820 + 438. Let h = 379 + d. What is the smallest value in h, 0.3, 0.032?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1222*g - 25539. Give u(-21).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 1032845121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2358740 and 14?\nAnswer: 16511180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(175))**2 + -3.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(84\/8))\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-6)*1\/(-1). Let j be c\/10*(-10)\/(-2). Let x(t) = 39814*t**3 - 5*t**2 - t - 2. Let b be x(j). Round b to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.149 plus 62241637236?\nAnswer: 62241637234.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17181750 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: Find the first derivative of 4*h**3*x + 117*h**3 - h**2 - 3*h + 3393*x wrt h.\nAnswer: 12*h**2*x + 351*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*(h\/h**(2\/5))\/h)))**9*(h**(-1\/3)\/h*h)**31 assuming h is positive.\nAnswer: h**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-2*g**3 + 2*g**3 - 2*g**3) - 2*g**3 + 6*g**3 - 3*g**3 + 1959*g**3 - 691*g**3 + 1571*g**3.\nAnswer: 2844*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {v: 2, l: 1, b: 1, q: 2, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10012 - 4?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = m + 8*o - 9*o, 6*m - 2*o = 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one halves of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 16 = -3*r. Suppose -5 = 3*y - r*y. Calculate the highest common factor of 2 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22531 (base 6) in base 2?\nAnswer: -110010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000000 - -111000001?\nAnswer: -11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1239 and -31\/1239.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134395\/4917 + -1\/1639. Let p = x - -29. What is the second biggest value in p, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8976*-89\nAnswer: -798864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -52271*f**4 + 15*f**5 + 105*f**3 - 13*f**2 + 52351*f**4 + 13*f**2 = 0. What is f?\nAnswer: -3, -7\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/51 + -1063\/561. Calculate the common denominator of ((-62)\/30)\/((-4)\/(-6)) and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 33. Suppose 0 = -5*z + 3*c + 79 - d, 3*z - c = 47. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -5. Let y be (3\/3)\/((-1060)\/1062 + 1). Suppose -3*w + y = 519. Put w, a, -3 in increasing order.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104550 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982081.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let s(f) = -48*f**2 - f + 1. Let c(r) = -289*r**2 - 6*r + 4719. Let z(j) = -c(j) + 6*s(j). Give z(v(w)).\nAnswer: w**2 - 4713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Suppose 0 = -6*h + 8*h. Solve h*k - f*j = -4*k, 4*k = -5*j - 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02643279 rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 51*n**2 - 5*n + 19. Let k(b) = -5*b**2 - b + 1. Give 6*k(l) - v(l).\nAnswer: -81*l**2 - l - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8480 and 83012.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204 - -1460. Is b a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -288*i + 2395. Let f be d(11). What is the smallest value in -3, f, 1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114.849826 - -114.86. What is r rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 9*g**4\/2 + 37*g**3 + 93*g**2\/2 + 10*g - 6 = 0. What is g?\nAnswer: -2, -1, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)*d)**(-50)\/((d\/((((d*d**(-4)*d)\/d)\/d)\/d))\/(d\/d**2)) assuming d is positive.\nAnswer: d**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (53 - 58 - -11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 62 + 39 = 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - -23) + 26 - 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y + 78. Let m be (y\/(-2))\/((-1)\/(-2)). What is the highest common factor of m and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 4*f = -84. Let m(x) = 5*x + 2. Let w(s) = -14*s - 6. Calculate f*w(v) - 17*m(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6980430 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 538 and 224381508?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/165 + 28\/(-35) + 20\/77?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16)\/(-9) - (-6)\/27) + 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 4*d**2 + 6*d + 4. Give s(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19145561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10187 divided by 10187?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.8467 times -0.3?\nAnswer: 38.35401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104142 - 103?\nAnswer: 104034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Let x = i + -0.1. Let z be (-2)\/8 + 30\/56. Which is the third smallest value? (a) 4 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - 18. Let k be n(6). Suppose -h - 42 = -k*h. Let q = h + 88. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 4*y**2 - 4*y + 5. Let o(t) = t - 6 - 30*t**2 + 3*t**3 + 18*t**2 + 10*t**2 - t**3. Let b be o(2). Calculate k(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 65*w**2 - 3*w + 96*w**2.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1345841+-0.2\nAnswer: -1345841.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*(-168)\/(-4). What are the prime factors of -1*(-6)\/u - 4845\/(-21)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16010 - -7472. List the prime factors of c.\nAnswer: 2, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381792711?\nAnswer: 3, 8089, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/8734672 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 373, 833, 1475, 2299?\nAnswer: 3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 568 and 6152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x + 3. Let j(s) = s**2 - s + 1. Determine j(c) - z(c).\nAnswer: 2*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 18 = -4*b. Calculate the lowest common multiple of b and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:28 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55*-4\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-12) - (-10 + 5).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*i - 3*z, -4*i - 9*z - 25 = -14*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593382, -1186768, -1780154?\nAnswer: -2373540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -1, 24 in increasing order.\nAnswer: -2, -1, 0, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8141897 and 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/4)\/(-5)*-2. Let q = 3 - v. Let -4\/7*m**q - 2\/7*m + 0 = 0. Calculate m.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -73.\nAnswer: 9\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -2*z - 22*k, -2*z = -3*k - 59 + 25 + 15 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 12 + 0 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184\/40585 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74359 is divided by 1519?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2. Let i be 4\/(-12) + 30\/9. Let p(f) = -i*f**2 + f**2 + 5*f**2. Give d(p(r)).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/3 - 32\/(-8). Let c = 9.3 - 14.3. What is the closest to 0 in -1, i, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/32 and 142\/(-13 - 3699\/9).\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 4. Let d(o) = 2*o + 5. Give -5*d(f) - 4*l(f).\nAnswer: -2*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/6)\/(-35*(-32)\/3360).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/68)\/((-5)\/25)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 49*g + 4*g**2 - 24*g - 26*g - 3. Let n be k(-1). Let v be 2 + (9\/18)\/(1\/n). Solve 4 = -v*o + 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*3)\/(sqrt(3) - (sqrt(108) + (sqrt(108)*-2 - sqrt(108)) + sqrt(108))).\nAnswer: 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*d**2 + 10\/7*d - 4\/7 + 2\/7*d**3.\nAnswer: 2*(d - 2)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1498 + -1498.5. What is the third smallest value in w, 1, -42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-2*t**4 + 2*t - 2*t) + (t - 2*t**2 - t)*(-4*t + 6*t**2 + 4*t) + (-1 + 1 - 2*t)*(0*t - 3*t**3 + 0*t).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 5. Let x be t(6). Let l = x - -15. Solve -l*m - 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -3, -0.1, 1\/12, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-98)*14 - 5) + 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291401713 + 0.039?\nAnswer: 291401713.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-17 - -19) - 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1062935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7355 or 7374?\nAnswer: 7374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiebibxxixxixibxxxcb. What is prob of picking 1 b and 1 c?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/72622007 and -56\/5.\nAnswer: 363110035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgdypdvdpgt. What is prob of sequence pyvd?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100663176851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -140*o**2 - 11*o + 9. Let h be f(4). Let q be (-1325)\/h + (-4)\/26. Which is the third biggest value? (a) -0.5 (b) q (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*q + 278 = -2*o, 4*q = -3*o + 812. Let p = -248 + o. What is the greatest common factor of p and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3069 - 3056) + 44 + -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001149700858 rounded to 7 decimal places?\nAnswer: 0.0011497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 617 = 352. Suppose -10 - 22*t - 22*t + k*t - t**2 = 0. What is t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17))**24 assuming w is positive.\nAnswer: w**(-408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 14.21.\nAnswer: 12.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/882)\/((-6)\/7) - (-288402)\/(-11502)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150831881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(30\/72 + 1\/4). Let l be (c + 5)*(-2 - -2). Suppose n + 2*b - 80 = l, -5*n + 210 = -5*b - 250. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -104\/3. Suppose -18*f + 10 = -20*f. Which is the third biggest value? (a) 1\/4 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 - 4.5. Let x = 0.19 + 0.21. What is the nearest to n in -5, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w - 42. Let l be q(12). Suppose l*p + 4*p = -3*p. Suppose -2*f + 194 + 56 = p. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111390 and 51888.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90492477 - -90492467.8999838. Let v = t + 9.1. What is v rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 180067?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*-4 - -3*(sqrt(68) + -1))**2 - (sqrt(68)*1*-1 + sqrt(68) + 5*(sqrt(68) + 2 + sqrt(68))**2).\nAnswer: -164*sqrt(17) + 1961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g - 1 + 1)*(6 - 3 - 4)*((-3*g + 4*g - 3*g)*(-2 - 1 + 5) - 2*g + 2 - 2) to m*g**2 + h*g + z and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -4*z. Let s(r) be the third derivative of -r**2 + 0*r + 0 + 0*r**5 + 1\/6*r**3 - 1\/24*r**z - 1\/120*r**6. Determine s(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4) - (-3)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1037 at least as big as -557\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Let q = 7128 - 7130. Put a, q, -1, -5 in ascending order.\nAnswer: -5, q, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -8*t**4 + 10686*t**3 - 8008*t**2 - 2670*t = 0?\nAnswer: -1\/4, 0, 1, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) 5063 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/(z**(-2\/5)\/z))\/z))\/(z\/z**15))**(-10\/3)\/((z\/z**(1\/2))**(-33))**(-26) assuming z is positive.\nAnswer: z**(-471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in -6, -4, -81.8, -1, -17, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 < 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nipipnpnlpnnnhphnp. What is prob of picking 1 h and 1 n?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0134 and -127828.\nAnswer: -1712.8952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 0*b + 4*b + (5*b - b + b)*(-1 + 1 - 1).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 78, 0, 2 in descending order.\nAnswer: 78, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d. Let q(y) = 2*y. Calculate -14*q(z) + 5*r(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**(1\/53) assuming a is positive.\nAnswer: a**(5\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -2*v - 5*n + 743, -2*n = -2*v + 1174. Which is the closest to v? (a) -11 (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)*o\/o**(1\/2))\/(o**3*o**(3\/2)*o))\/(o**8\/o*o*o\/(o*(o**(3\/7)\/o)\/o))**5 assuming o is positive.\nAnswer: o**(-1103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 2*j**3 - 5*j**3 - 1 + 1 + 2*j**3 + (j**2 - 6*j**2 + 2*j**2)*(-4*j - 4*j + 4*j) as q + c*j**3 + r*j**2 + z*j and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 13*q - 9. Let i be b(-14). Sort -13, i, -5 in ascending order.\nAnswer: -13, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 10*p**2 + 7*p - 4*p**2 - 9*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/4 + 10329*n**4\/4 - 26646227*n**3\/4 - 133406777*n**2\/4 - 53385444*n - 26697889 = 0. What is n?\nAnswer: -2, -1, 5167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -10. Let c be (y + -8 - 2)\/1. Let z = c - -15. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.26 - 0.8. Let v = p - 3.36. What is the smallest value in -0.2, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)*2 - sqrt(336) - sqrt(336))\/sqrt(12) + sqrt(28))\/(sqrt(28)\/(sqrt(28)\/sqrt(4)))*-4.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 16 = -97. Let g be (-16)\/(-72) - (-345)\/h. Suppose 0 = 8*c - g*c + 665. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:43 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7))**(9\/7)*(((x\/x**(9\/7))\/x)\/x)**(2\/3))**(-1\/28) assuming x is positive.\nAnswer: x**(221\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000100011111011000 (base 2) to base 10.\nAnswer: -2115544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*m - 476 = 17*m. Solve 0 = -3*i + 1 + m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*b - 11, 5*p - 1 = 3*b + 32. Let n be 38\/p - (-4)\/6. Solve -3*z + 8 = -n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 16*h - 64 = 40*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.128 (b) 856 (c) -1\/4 (d) 0 (e) 2\/5 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 36*i + 3 = 0. What is the highest common divisor of i and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*g**3 + 8228*g**2 - 2056*g.\nAnswer: -4*g*(g - 514)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 142*h + 8 + 7 - 7 to r + a*h and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:50 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:31 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 567 - 10*g**3 - 145 + 2*g**4 - 140 - 144 - 154 as r*g**2 + d*g + u*g**4 + j + v*g**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55069144 to the power of 1\/2, to the nearest integer?\nAnswer: 7421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79987881 by -26662627.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207242, -828884, -1864960, -3315470, -5180414, -7459792, -10153604?\nAnswer: -13261850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k - 26*k + 12 - 4.\nAnswer: 3*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 81e - 5?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 15 + 14 - 41 - 11*l**3 + 13. Give h(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -89*w - 267. Let p(x) = -65*x - 267. Determine -3*k(u) + 4*p(u).\nAnswer: 7*u - 267","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 t, and 2 z when four letters picked without replacement from {z: 2, t: 1, x: 3, c: 3, d: 1, f: 9}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55\/2 of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 133. Let a = -120.99874 + f. What is a rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 4*o**2 - 3*o + 3. Suppose -2*t - 12 = -5*t. Let y(c) = 7*c**3 + 8*c**2 + 7*c - 7. Let q(u) = t*y(u) + 9*v(u). Determine q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551676 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-28)\/672). Suppose -5*w + 10 = 0, s*f + w - 38 = 6*f. What is the remainder when 68 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-628 + 1961*q - 441*q + 628)*(-30*q + 10*q + 7*q) as g + m*q**2 + c*q and give m.\nAnswer: -19760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + h = -2*y + 2*y - 14, 0 = -17*h + 16*h - 2 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/30 + d**5\/5 + 2*d**4\/3 - 41*d**2. Find m such that h(m) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407 + -407. Let o(f) = f**3 - f**2 - 41. Determine o(t).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5060*x**2 + 1268*x**2 - 280 + 1267*x**2 + 1261*x**2 + 1261*x**2 as k*x**2 + b*x + v and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -103600 (b) 9\/2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (267168\/(-440))\/138*-1*(-1)\/4.\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 12025833.\nAnswer: 5\/12025833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:21 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -6.58 (c) -19.3 (d) -60\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104288, -104290, -104292, -104294, -104296?\nAnswer: -104298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*t = 431*t - 1371600. Is t a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 6*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 8*c**2 - 21414*c - 21420.\nAnswer: 2*(c - 102)*(c + 1)*(c + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.1 and -210390265.\nAnswer: -210390267.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Suppose 3*o - 2*m + 6 = m, 5*o - 2*m = -1. Calculate the remainder when o is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1421 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 11:20 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35136, -35134, -35132, -35130, -35128?\nAnswer: -35126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z = 5*q - 47*z - 175930, -9*q + 5*z = -316674. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120101 (base 4) to base 3.\nAnswer: -2010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1490, 0.4, -2\/7, -11\/17, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -9775.\nAnswer: 9774.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(294) - sqrt(294)*-3) + sqrt(294)))\/(sqrt(147) - (4*sqrt(147)*5 + sqrt(147)) - sqrt(147)).\nAnswer: 25*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3*j - 16. What is v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 0, 4*h - 5*h - 3 = 4*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66987 and 84354.\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450615 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: Determine n so that 2*n**3 - 96*n**2 + 870*n - 2072 = 0.\nAnswer: 4, 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4\/89, 1347\/7, -0.1 in increasing order.\nAnswer: -0.1, 4\/89, 7, 1347\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26555*k**3 - 3*k**2 + 1724*k.\nAnswer: -159330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 c when four letters picked without replacement from {b: 3, c: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**2 - 28*l**2 - 134*l**3 + 51*l**2 + 129*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 542 and 8497747.\nAnswer: 16995494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose -d + w - 6 = -4*w, 4*d + 3*w - 22 = 0. Let r = d - q. What is the nearest to -2 in -0.4, -0.1, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k + 20 = 0. Suppose 2*f + 46 = 5*f + 5*g, 0 = -k*g + 8. What is the least common multiple of 33 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 205.8563707 rounded to 2 decimal places?\nAnswer: 205.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.2 + 17.681. Let h = 0.619 + p. Which is the closest to 0? (a) 9 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 62.\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11 + 20 = t, 5*t + 4*l - 39 = 0. Solve s = 2*y - 5, y + 2*y = -2*s + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(((-246)\/(-21) + -12)*(-14)\/190).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -339\/46 - -3462\/437. What is the common denominator of j and 47\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 30. What are the prime factors of (l\/(-3))\/((-10)\/(-45))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-165))\/(728\/(-154))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqqqeaeqrxxeqra. Give prob of picking 1 q and 1 a.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1590, 1572, 1542, 1500?\n\"Answer: -6*g**2 + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 8 = 18. Solve -23 + 8 = -3*z - 3*b, 4 = -4*z + w*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t. Let c(y) = -15*y. Determine c(z(r)).\nAnswer: -45*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 + 253.000055. Round u to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 26*r + 58. Let i(x) = 8*x**2 + 51*x + 115. Let g(p) = -6*i(p) + 13*t(p). Solve g(w) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 23064068.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9)\/(r\/((r\/(r*(r\/r**(-8))\/r))\/r)))**(1\/8) assuming r is positive.\nAnswer: r**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = 14020 - 115700. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092589*a - 476 = 1092623*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -858c (base 14) to base 4\nAnswer: -11220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 628 and 296.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103360 at most 105862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24 and 89\/968.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-4)\/(-6) + 133\/57. Let w be (-2)\/(-1 + u) - (-9)\/1. Suppose w*o - 6941 = -3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z)**(-28)*(z**8\/z)\/(z*z**(-1\/13)\/z*z) assuming z is positive.\nAnswer: z**(-1741\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 109*q**3\/2 - 1998*q**2 + 25272*q - 23328.\nAnswer: -(q - 36)**3*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21543 * 7.\nAnswer: -150801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2805 and 1571340?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -292, 643, 2200, 4379, 7180, 10603, 14648?\n\"Answer: 311*d**2 + 2*d - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*i - 3*f + 364 - 325 = 0, 7*f = -5*i + 48 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1760 and 100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -44.6\nAnswer: -89.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 85*g + 1435. Is u(37) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/7 + 5944*u**4 - 61781872*u**3 - 6940881152*u**2\/7 + 110713180160*u\/7 + 1774138753024\/7 = 0. Calculate u.\nAnswer: -16, 16, 20812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 9*k + 10. Let o be t(7). Let c = -2 - o. What is the third derivative of j**c - 5*j**6 + j**2 + 3*j**6 wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 85*j**2 + 57*j**2 - 89*j**2 - 87*j**2 + 185*j**2.\nAnswer: -19*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/8 and (-108)\/(-10) - 1\/(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t - 14*t**3 + 8*t**3 - 14*t + t**3 + 33*t + 2*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 7*a**2 - 2*a + 8. Let n be x(-7). Suppose -5*l - 34 = -3*t, 0*l + 2*l + n = 4*t. Let q be 7 + -2 + -2 + -3. Sort t, q, 2 in descending order.\nAnswer: t, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*l - 4*l**3 - 99*l + 189*l - 4*l**2.\nAnswer: -4*l**3 - 4*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -487 (base 13) to base 4\nAnswer: -30103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9231 and 217719?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 13834 = 2*p - y, 4*p = -y + 27722. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -3349\/4 (b) 2 (c) -9.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*i - 24, 127249867 = -4*i + 4*x + 127249891 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/37230 and 125\/1422186.\nAnswer: 7110930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 36*f + 479. Give m(-9).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*n - 5*k - 110, 3*n = -5*k + 203. Suppose -b + n = 3*y, 2*y - 37 = 4*b - 1. Solve -6*c = -2*c + y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.303 + -0.197. What is o rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 2*g**2 + 4*g + 2. Give r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1350\/(-3024) + 5\/(35\/4). Suppose -4*x + 44 = j - 14, -2*j = 5*x - 71. Let y be 1 + -1 + 6\/x. Which is the nearest to 0? (a) o (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0152437493 rounded to 4 decimal places?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(27\/6)*(-6)\/(-14)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2244, -2144, -2044, -1944, -1844, -1744?\n\"Answer: 100*f - 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + -0.02. Let t = s - 0.65. What is t rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824*i = 1826*i - 2*f + 26, 3*i - 5*f + 43 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14786723407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -809780 + 20?\nAnswer: -809760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/17 - 1718*d\/17 + 1716\/17.\nAnswer: 2*(d - 858)*(d - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/164*(-226033)\/(-424501)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f = 37*f - 66 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 + 14 = 0. Calculate the common denominator of 954\/220 - (-2)\/(-10) and f\/(-1)*26\/28.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235865 + 141133 = 6614*q for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/12*18\/15)\/(-7)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 x when four letters picked without replacement from {r: 1, e: 1, g: 4, x: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(475).\nAnswer: -15*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:55 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 - (-6 + (-1235)\/(-25)). Let h = -41 - l. Let q be h\/(-3) + (-42)\/(-9). What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20400, -40885, -61370, -81855, -102340?\nAnswer: -122825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-30))\/(121\/(-132)). Let k = -42\/1045 - r. Let i = 4.1 - 0.1. What is the second biggest value in i, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362460 divided by 72492?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 2*f. Let a be d(3). Let k = 11679\/413 + -1660\/59. Sort a, k, -2, 1.\nAnswer: a, -2, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*c + 143*c + 231 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)\/u)**(-45))**(-2)*(u**(1\/7)\/((u\/(u*u*u*u**(3\/5)*u))\/u))**(-1\/25) assuming u is positive.\nAnswer: u**(-118457\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595932292?\nAnswer: 2, 148983073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -8788.\nAnswer: 3\/4394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 0 - 3 - i + 9*i - i + 10*i**2. List the prime factors of v(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 7*r + 3. Suppose -4*w - 17 = 3. Let t be 28\/w + 14\/(-35). Is q(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 389, 0.5, 0.01.\nAnswer: 0.01, 0.5, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10105311, 10105341, 10105371, 10105401, 10105431?\n\"Answer: 30*b + 10105281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*t + 10. Is -9\/4 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/((-2)\/6). Let d = -1.385 + 1.185. Put 3, d, 3\/2, m in decreasing order.\nAnswer: 3, m, 3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Let d be v\/(-11) - (-456)\/(-33). Let r = d - -21. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 866, 2104, 3850, 6110, 8890, 12196?\nAnswer: 16034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 10*d = 6*d + 8, z - 5*d + 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/309 or -0.2457?\nAnswer: 1\/309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -640321, -640319, -640319, -640321, -640325?\n\"Answer: -p**2 + 5*p - 640325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21645 = -2*b, 17316 = 4*n + 30*b - 31*b. Is n at least as big as 4330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8\/9)*u\/u**(-1\/6)*u*u assuming u is positive.\nAnswer: u**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - (-2)\/(-3). Suppose -4*n + 43 = 27. Which is the closest to k? (a) n (b) -2\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 at least 127631\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1637, -1666, -1695, -1724, -1753?\nAnswer: -1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1 + 1 + 1). Let t(h) be the first derivative of -7*h**4\/4 + h**2\/2 + h - 4. Let u be t(d). Does u = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 3936 = -12*m. What is the greatest common factor of m and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 7. Let k be 63\/2 - (-6)\/(-12). Suppose u = -0 + k. What is the remainder when u is divided by n(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 5*z)*(-1 + 3 + 0 + (-1 + 0 + 0)*(3 - 1 - 1) + 1 - 4 + 5 - 5 + 0 + 15).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23 at most as big as -26\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14213 is divided by 309?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15248\/1363 greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - y - 31 + 56 = 0, 2*d - 5*y = 10. Solve 5 = 7*p - 8*p - d*h, 3*h = -5*p + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3 + (-28)\/10). Suppose -l*p + 140 + 80 = 0. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3540577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 2*n. Let d(i) be the second derivative of i**4\/6 + 5*i**3\/6 + 2*i. Let u(l) = l**2 + 33*l + 22. Let v be u(-32). What is v*g(k) - 4*d(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (711\/(-553))\/(1\/(-14)). Solve -5*n + 30 = 5*y, -2*n + 0*n = -4*y + v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 144 + 68 - 52 - 170 - 2*q**2 + 2*q to the form c + a*q**2 + d*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + f**2 - f + 1. Let r(d) = -5*d**3 + 2*d**2 - 3*d + 2. Suppose v + 2 = -1. Let z(c) = v*r(c) + 7*k(c). What is z(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6256, -6257, -6260, -6265, -6272?\nAnswer: -6281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:18 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y. Let z(x) be the second derivative of 0*x**4 + y*x**3 + 2*x + 0 - 1\/21*x**7 + 0*x**5 + 1\/15*x**6 + 0*x**2. Factor z(m).\nAnswer: -2*m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.5 + -24. Which is the biggest value? (a) 0.1 (b) -6\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306888 is divided by 5579.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 1 = 5*q, 0 = -3*h + 4*q + 8. Let u(g) = -h*g - 3*g - 5 - 4. Let a(n) = -3*n - 4. Determine 5*a(m) - 2*u(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17951 in 4, -3, 0.68, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 204*s**2 + 2700*s - 2500.\nAnswer: 4*(s - 25)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -252, 1, 5482 in ascending order.\nAnswer: -252, 1, 6, 5482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 702011568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*a - 28. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (22 - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -5, -2\/29, 0.23, 0.5, 174 in decreasing order.\nAnswer: 174, 0.8, 0.5, 0.23, -2\/29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911072 times 111?\nAnswer: 212128992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * -343464.9.\nAnswer: -8930.0874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2453 + 2452. Let w(m) = 10*m**2 - 2*m - 2. Determine w(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/((-9)\/36). Suppose n*k = -0*k + 32. 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 m = -0.04 + -2.96. Let d = -1 - m. Let i = d + -3. Which is smaller: 2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, -0.4, -347, -5\/6, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 462?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -11*r**4\/24 + 14*r**2. Let j(x) = -3*x**2. What is u(j(z))?\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 2*s + 3. Suppose -5*a - 35 = -5*g, -a = -7*g + 8*g + 1. Let n be r(g). Suppose 0 = -15*u + n*u - 267. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {q: 9, k: 2, h: 1, t: 3, y: 3}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 12*a - 5. Give l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/90 and 103\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3143*a**3 + 55*a**2 + 36*a + 18. Let s(w) = -1571*w**3 - 28*w**2 - 20*w - 10. Let n(c) = 5*q(c) + 9*s(c). What is the third derivative of n(t) wrt t?\nAnswer: 9456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6905 and -7400?\nAnswer: -51097000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*p + p + 5, -p - 11 = -4*b. Let a(f) = f**2 - 5*f - 4. Let n be a(p). Solve -3*i = 2*i - n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316a (base 11) to base 14\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 24. Let l(s) = -g*s - 3 - 7*s**2 + 6*s + s**3 - 2*s**3 - 3. Let m be l(-6). Solve 4*k = c - m, -3*c - 3*k - k = 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -15*g**2 + 3*g - 2. Let b = 1 - -1. Let w(u) = 7*u**2 - u + 1. Let t(c) = b*p(c) + 5*w(c). What is the units digit of t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 204*k - 710. Calculate m(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 21*f**2 - 5*f - 5. Let l(n) = -11*n**2 + 3*n + 3. Give -3*i(t) - 5*l(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 1. Let k(u) be the third derivative of u**4\/24 - u**3\/6 + u**2. Let r = -60 + 61. Determine r*l(i) + 3*k(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.3. Let w = -0.3 - 0.2. Let q = 8 + -7. Which is the third smallest value? (a) w (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 11 = -i, -4*i - 37 = 2*y + 7. Let w be ((112299\/1680)\/i)\/(12\/(-10)). Let s = w + -13\/96. What is the common denominator of s and 75\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -25. Suppose 103 = 5*c + 3*o, -3*c + 64 - 1 = 3*o. Calculate the highest common factor of w and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -8*q - 4. Solve q = -2*p - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z + 2. Let t(y) = y**3 - 17*y**2 + 16*y + 6. Let v be t(16). Suppose -v + 4 = -u. Give w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -327 (b) -21 (c) -33\/40 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 293 (base 11) to base 5\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33311, -1, -13, -3\/7, 5 in decreasing order.\nAnswer: 33311, 5, -3\/7, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2702\/113 or -25?\nAnswer: -2702\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*q**5*s - q**2*s + 4*q*s - 30*s - 1 wrt q.\nAnswer: 7080*q**3*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 396113672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 3*v + v**2 - 2 + 3. Let b(o) = -o + 15. Let a be b(17). Let g be k(a). Solve 0 = -4*r + 8, q = -4*r - 1 + g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*n**2 - 42103 + 20982 + 21121.\nAnswer: 232*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(300) - (-3 + sqrt(300))) - 5*2*(sqrt(300) + sqrt(300) + 5*sqrt(300) + sqrt(300)))**2*-6.\nAnswer: -11551104 - 691200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.733, 2, 0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12181 + -0.1232927. What is w rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 26*f + 24*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.4 (b) -2\/15 (c) -16 (d) -2957 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 34*v = 366 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608*o = -304*o - 305*o + 30. What is the remainder when 165 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -v, 8*p + 2*v = 4*p. Let n(i) = -6*i + p*i - 1 - 5*i + 17*i. What is n(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30286 and -4.\nAnswer: -121144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6*(-108)\/48)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**4 + 7*w**2 - 8. Let l(o) = 6*o**2 - 8. Suppose f - 6 = 2*f. Let n(y) = f*v(y) + 7*l(y). Find the first derivative of n(a) wrt a.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 312*o - 8112.\nAnswer: -3*(o + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*t + t. Let o be (9 + -3)\/(1\/7). Calculate the greatest common factor of o and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 32*q - 26*q - 19 + 18*q**2 - 17*q**2. What are the prime factors of n(-31)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**1\/b)*b)\/b**(-5\/3) assuming b is positive.\nAnswer: b**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3 - 2262*c**2 - 3*c + 2262 = 0.\nAnswer: -1, 1, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f7ea + -3?\nAnswer: f7e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 6*i + 2. Let a be u(-6). Suppose -a*k - 28 = -5*v + 8, 2*v - 3*k - 10 = 0. Is 8 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 + 0 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12060 smaller than -36179\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4743236843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let t(d) = -11328001*d + 2. Determine t(n(o)).\nAnswer: -11328001*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61157 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424*u + 279*u - 1151*u + 62580 = -61*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*555\/(-111)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n**5\/5 - 74*n**4\/5 + 18*n**3\/5 = 0.\nAnswer: 0, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3216?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3 - 224*t**2 + 274*t?\nAnswer: -12*t - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.8, -0.1, 2, 5081, -5?\nAnswer: 5081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - y. Let i be f(-2). Let t = i - -9. Solve -2*o + t*o = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -40, -42 in ascending order.\nAnswer: -42, -40, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, -0.3, 0.07.\nAnswer: -301, -0.3, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c + 70. Determine j(14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98553 - 30288. What is the ten thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-12))\/(2\/5442) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-36)*(-60)\/(-200).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1 + 5 = 2*h, 0 = -4*h - t + 43. What is the least common multiple of 18 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_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: Simplify ((t**(-6))**(-5\/18))**(-11) assuming t is positive.\nAnswer: t**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 242334.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 6:42 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 28*a - 6. Give y(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109037 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11574 (base 8) to base 13\nAnswer: -2369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 12:42 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4636*i**2. Let d(q) be the second derivative of q**4\/6 - 13*q + 9. What is d(u(y))?\nAnswer: 42984992*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {m: 2, n: 1, h: 3, d: 5, t: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a = -41 - 148 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -30*c**2 - c + 1. Give w(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-3)*11\/55.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -378 + 386 = 4*k - t, -2*k = 2*t + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06959, 1, -5, -0.029 in descending order.\nAnswer: 1, 0.06959, -0.029, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 15. Suppose 2*n + 2*p = -10, -5*n - 2*p = -4 + 17. Put n, j, -2\/13 in descending order.\nAnswer: j, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*d + 4*d. Let i be 8\/12*-3 + -4. Let f = i + 5. Let t(b) = -b + 1. Let g(p) = -1. Give d*t(h) + f*g(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11839 + b**2 + 2*b**2 + 25*b**2 - 11846 + b to the form k + x*b**2 + u*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 15*u + 7. What is the remainder when f(-6) is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 2 = 7*i. Suppose -22 = -3*u - 0*u + 2*h, -3*h = i*u + 7. Differentiate -d + 8*d - 8 + u - 8 with respect to d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96998.\nAnswer: 2, 11, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1828600125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 686811 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1122 + 1122.2. Let k = -2422 + 21754\/9. Let r = k - -56\/9. Which is the biggest value? (a) r (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -11. Put -1, 4, n in increasing order.\nAnswer: -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -6\/11, -8\/3, -5, 10 in descending order.\nAnswer: 110, 10, -6\/11, -8\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o + 329 = -56 + 43. Let h(r) = -r**3 + 5*r**2 - 8*r - 4. Give h(o).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**2 - 8*g - 6. Let d be w(-8). Let p = 272 - d. Let x = -387 - p. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*((f*f*f**(-1)*f)\/f)\/f)\/f*f)\/f*f)**(4\/9)*(f\/(f*f**(1\/4)))**47 assuming f is positive.\nAnswer: f**(-407\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.3. Let j be (-41)\/(-13) - (3 + 0) - 0. Which is the second smallest value? (a) j (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.221 - 0.021. What is the nearest to s in 2\/15, 4, -8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -182*h - 3470. Calculate v(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114)\/24 + 9\/12. Let o(p) = 4*p + 20. Calculate o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54*5\/10)\/(3\/(-8)). Let h = 144 + j. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 7*v**2 - 14*v - 2. Let j be n(10). Let k = j + -86. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 8, -3294 + 3254 = -4*s + 5*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 9*r - 7. Calculate x(-7).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.3 - -28.3. Let s = l + -23. Let x(m) = -m**3 + 3*m**2 - m + 4. Let w be x(3). Which is the second smallest value? (a) -3\/2 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(19327\/35140)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 588*g**4 + 0*g**2 - 590*g**4 + g**2 + 2 to the form f*g**2 + d + l*g + c*g**4 + z*g**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1230 and 331523130?\nAnswer: 331523130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 8428*q - 81*q**3 + 308*q**2 + 48*q**2 + 22188 + 85*q**3 = 0?\nAnswer: -43, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3880 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -13. Suppose -5*q + 492 = k*l, -4*l + 2*l = -2*q + 208. What is the highest common factor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-15))\/((-8)\/18). Determine r, given that -27*r**x + 4*r**5 + 43*r**3 + 8*r**3 + 28*r**4 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 = -g, -2*g - 3*u + 2 = -5*u. Suppose g = h + h + 16. Let c = -4 - h. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 17. Let o = 3 + t. Is (-1906)\/(-10) - o\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 477725 = 1412699. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16348.\nAnswer: 2, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4 + (-3 + 0 + 1)*(2 - 16 - 1) + 0 + 2 - 3)*(0*n + n**5 + 0*n).\nAnswer: 27*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 452 + -455.01. Let d = -0.01 - u. Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -17)*(-45)\/10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (-1 - (-2 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21163 is divided by 107?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 69946291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59886, 120989, 182094, 243201?\n\"Answer: l**2 + 61100*l - 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 9*b**2 - 5*b - 14. Let c be a(7). Let l = -168 + c. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5539445 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 5*x**2 + 3*x + 5. Let h be z(5). Suppose -h = -3*k + k. Calculate the lowest common multiple of 5 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44330 divided by 130\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) 0.73 (c) 2\/17 (d) -3\/2 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*w)\/(w*w**5))**18*w*w**(-2\/3)*w*w\/w**(2\/11)*w*(w*w\/((w\/w**(-2\/7)*w*w)\/w))**(3\/10) assuming w is positive.\nAnswer: w**(24331\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10279111*x**3 + 6679307*x**2 wrt x?\nAnswer: -61674666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from reere.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*q**5 + 8*f*q + 2*f + 55*q**5 + 17*q wrt q.\nAnswer: -20*f*q**3 + 1100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 6. Let r(n) = -n + 5. Let m(w) = 6*p(w) - 7*r(w). Let s be m(2). Find the first derivative of 0*v**3 + 5*v**3 - 2*v**3 - s wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {q: 4, o: 16}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 11:41 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -0.181849527.\nAnswer: -0.481849527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 4*a + 3. Let q = -4 - -2. Let i be d(q). Suppose -4*l - r = 16, 3*l - 31*r = -35*r - 25. Is i less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16890 divided by 2\nAnswer: 8445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(42\/4)\/7. Suppose -2*l - 1 = -l. Sort l, r, -2.\nAnswer: -2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 2)*(73 - 272 - 262)*(1 + 1 - 3)*(9*h + 64 - 64) as r*h + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16577\/40 + 202275\/488. What is the common denominator of b and 113\/2684?\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -53. Let l = -24 + z. Solve -l*h - 2 = 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = r. Suppose -h = -2 - r. Suppose 5*m = 52 + 13. Calculate the remainder when m is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 9, 2*g + 7 - 14 = -h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s**2 + 4*s - 4. Let z(t) = 90*t**2 - 27*t + 27. Determine 27*j(c) + 4*z(c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 divided by 2?\nAnswer: 251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 471ca1 - -a?\nAnswer: 471cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4\/7 - 42183*v**3\/7 + 148001391*v**2\/7 + 2041454811*v\/7 - 387736659270\/7 = 0.\nAnswer: -58, 45, 7037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15834 and 2982.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 + 7*m**2 + 227*m - 443. Calculate n(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {b: 2, u: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -148 and -7543131948.\nAnswer: -7543132096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 12, a: 1}. Give prob of sequence hhxh.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3576*c + 3577*c - 2*w, w + 5*w = -6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*6.711\nAnswer: 20.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/18)\/(8\/(-72)). Suppose 0 = 5*u + 5*o + 10, 5*o + 0 = u + m. Let d be (-15)\/((-12)\/(-5440)*u). What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160031 (base 8) to base 15\nAnswer: -11ee9","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 881210 and 16022.\nAnswer: 881210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 85*h**2 - 4*h - 2. Is f(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1889*c = -1888*c, -5 = -5*l - 4*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -13*f + 1. Calculate t(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.80771203 + 7.89751.\nAnswer: 8.70522203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(18 + 2). Let q(a) = 2 + 8 - y - a. Let d(p) = -7*p**2. What is d(q(t))?\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r + 10. Suppose 7*s = -s + 483 - 467. Calculate t(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 81 - 20)*(y**2 - 10*y**2 - 8*y**2).\nAnswer: -544*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Let k = -0.03 + -1.97. Let u = 0.6 + -1. Which is the nearest to -2? (a) u (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 45*w**2 + 15*w + 81. Suppose 0 = 124*n - 122*n + 10. Let u be t(n). What is the highest common divisor of u and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**2 + 3. Let y(b) = 16*b**2. What is u(y(n))?\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 28.89. What is d rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001216209 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 (base 12) in base 2?\nAnswer: 1001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 18576 = -5*q, 3*a + 4 = -8. Let y = q + -29791\/8. Find the common denominator of 55\/14 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 - 82. Let h = -21 + n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -17. Let v be 6\/(2 + d) + 1. Let w = v - -10. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 10*n**2 - 26*n - 19. Calculate m(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/37, -4, 122, -6, 3?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -11*t**8\/28 - t**5\/5 - 83*t**4\/4 + 236*t. What is the third derivative of p(z) wrt z?\nAnswer: -2640*z**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 239382 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**3\/6 + 5*f**2\/2 + f. Let b be n(-4). Solve -5*w = b - 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 + 4112\/15. Suppose 5*i + 3 = 28. Let s(l) = l**3 - 4*l**2 - 6*l + 7. Let p be s(i). Is u at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**3 + 347*u**2 - 1056*u + 698. Let a(z) = -28*z**3 + 1735*z**2 - 5284*z + 3489. Let v(d) = 6*a(d) - 33*n(d). Let v(o) = 0. What is o?\nAnswer: -350, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632910881.\nAnswer: 19, 33311099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vggghhggghh. Give prob of picking 1 v and 2 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65693.062 + 65640. Let c = q + 0.062. What is the biggest value in -4, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 - 108141*d + 4435462 = 0?\nAnswer: -108182, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1425*i = -1416*i + 108 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*w - 20, 2*w = -5*q + 20 + 19. Let t(c) = 54*c - 43. Is t(q) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261032 is divided by 87009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1050 + 1095. What is the remainder when 312 is divided by g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m - 3*j + 11, 20 = 4*j. Suppose 0 = -3*b + 3*l - 15, 2*b - 3*l = 2*l - 1. What is the remainder when (0 + m)*44\/b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s + 15. Let y = -80 + 69. Let p(r) = r**2 + 12*r + 17. Let c be p(y). Solve 4*k - 10 = s*t + 1, 3*k - c = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 58*j**4 + 878*j**3 + 4664*j**2 + 6921*j + 3078.\nAnswer: (j + 1)**2*(j + 9)**2*(j + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 3*y**2 + 166*y - 992. Calculate g(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2084*k + 2095*k - 989 - 947 = 0. Solve 0 = -24*q + 2*q + k for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185295 (base 12) to base 5.\nAnswer: -102030021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*v + 4 - 17, v = -3. Suppose -2*x - 74 - 38 = -c*h, 192 = 3*h + 5*x. Suppose -4*j = h - 259. Calculate the highest common divisor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -1336?\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -98, -91, -82, -71?\n\"Answer: z**2 + 4*z - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -1747870.\nAnswer: -1747865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3 = -w, 4*s + 7 = -5*w + 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1061.58 + -1141. Let d = j + 80. Let h = -0.62 - d. Is h at least 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002403959 rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t**2 + 3*t**2 - t**2 + 18*t**2 + 7*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 22*o**2 + 19*o + 11. Let d be q(-21). Let p = -30 + d. What is the derivative of 14 - 27*u + 8 - p wrt u?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -5\/3*i**3 - 7\/2*i**2 + 3 + 8*i. Let d(b) be the first derivative of n(b). Let s(f) = 3*f + 2. Calculate -4*d(z) - 14*s(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-6) + (-10)\/15. Let g(n) = -n - 10. Let h be g(v). Let r(x) = x**3 - x - 3. Let p be r(2). Solve h = o + p - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - sqrt(45)\/(sqrt(81) + sqrt(9)) - ((sqrt(5)*2 + 4)**2 + sqrt(5)).\nAnswer: -65*sqrt(5)\/4 - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4222*g**3*w - 5956*g**3 + g*w - 1737525*w + 25 wrt g.\nAnswer: 25332*g*w - 35736*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/320097021 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40092 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*y - 35, -u = -y + 2*u + 8. Let q(l) = 6*l - 34. Calculate the remainder when q(9) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00099524 to 6 decimal places.\nAnswer: -0.000995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/93 and -52\/2481?\nAnswer: 76911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6344 and 383864.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25210 + 126219 - 13447 = 61*z. What is the greatest common factor of z and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106844 is divided by 255.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -1792*n + 1785*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10860760.4500097 - -10860760. Let h = -0.95 - -0.5. Let m = x - h. What is m rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -2, 4\/319, 5?\nAnswer: 4\/319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 21 - 61 = 14 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325 + 338. Which is greater: j or -15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 202*c - 1973. Determine u(38).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*w = -2, 5*w - 1 + 6 = 0. Let p(t) be the first derivative of 3 + d*t + 1\/4*t**4 + 0*t**2 + 1\/3*t**3. Factor p(b).\nAnswer: b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 13, -270?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000265 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 202645338 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4*j + 24 = 0. Let y be -2 - 3292\/(-28) - j\/(-14). Suppose -4*g = -100 - y. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*l + 4*a, -4*a + 2*a = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*c + 1241*c + 768*c in the form h + t*c and give t.\nAnswer: 1880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 3*n**2 - n + 1. Let g be d(3). Let z be ((-4)\/6)\/(g\/3). Let m(x) = x - 8*x**3 + 0 - z + 0*x**3 - 2*x**3. What is m(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c - 2*j = -76, 3*c + 4*j = 40. Let s(u) = -u + 21. Let v be s(c). Suppose -3*r + 162 = 5*x, -r + 32 = v*x - 12. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45599264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(0 - (-42)\/(-4)). Let v = 17\/3 + -11\/2. What is the third biggest value in r, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2500 = -3*b, -b - 3296 = -5*b + 4*h. Is 819 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*25\/(-400)*0\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 247136842 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*q + 8574, -387*q + 384*q + 5*h = -12829. What are the prime factors of q?\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23121310321 (base 4) to base 3.\nAnswer: 12121212122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1175*h**3\/2 - 146290*h**2 - 292505*h\/2 + 625 = 0.\nAnswer: -1, 1\/235, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**(-2\/31)\/((f\/(f\/((f\/(f*f\/(f\/((f\/(f*f**(-3)\/f))\/f*f))))\/f)))\/(f\/f**(1\/8))))**(-2\/121) assuming f is positive.\nAnswer: f**(-47\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b1 - -b028?\nAnswer: a937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 15) in base 10?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -8, 5, -941 in decreasing order.\nAnswer: 5, -3, -5, -8, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.73705 micrometers to nanometers.\nAnswer: 60737.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 7, w: 3}. Give prob of sequence ewew.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76361*p + 76398*p - 518 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:05 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 3822, 2, 17\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44414, -88809, -133202, -177593, -221982, -266369, -310754?\n\"Answer: c**2 - 44398*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*w - 6*w - 149*w - 9*w + 6733 as f*w + d and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -621 divided by 1583\nAnswer: -621\/1583","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllldllllll. What is prob of sequence llld?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 530466452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/120 + i**5\/12 - i**4\/8 + 7*i**3\/6 - 8*i**2. Let h(y) = -y**3 - 4*y**2 - 2*y - 3. Let k be h(-4). Calculate l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -134. Let q = -14 + 16. Solve -2 = -q*h + 4*d - 8, -t*h + 1 = 5*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4030442 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4\/((((o**(-2\/9)*o)\/o)\/o)\/o))\/(o**(-2)*o*o\/((o\/(o*o\/o**(-1\/11)))\/o)))\/((o\/o**(-8))\/(o*o**(-6))*(o**(1\/4))**41) assuming o is positive.\nAnswer: o**(-7967\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3*u**2 - 20*q**3*u - q**2*u**3 - 49*u**3 wrt u.\nAnswer: -4*q**3 - 6*q**2*u - 294*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*k = 32, 14 = 3*h - 4*k + 31. Let s = h + 10. Suppose 32 = s*w - 28. Solve 5*r - r = -w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 8*t**2 - 8*t + 4. Calculate a(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/4*2\/24.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 3 - s**2 + s**3 + s**2. Let l be j(0). Suppose -3*x - 45 = -4*q, 2*q = -2*q - l*x + 51. Calculate the greatest common factor of q and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 352, 299, 266, 265, 308, 407, 574, 821?\n\"Answer: 2*d**3 - 2*d**2 - 61*d + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*h - 27, -2*d + 0*d - 4*h + 22 = 0. Suppose -3*r + 10*r = d. Find n such that -3*n**2 - 3*n**2 - 2*n**r - 4*n**3 - 4*n + 4*n**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17463 is divided by 440.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momokmkdck. Give prob of sequence dmmk.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 12\/(-9))\/((-140)\/1512). Suppose -f + 22 = -19*j + 23*j, -4*j + f = -n. Let b(a) = a**3 - 5*a**2 - 4. Determine b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -0.31. Which is the second biggest value? (a) f (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366379 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4588 and 96052?\nAnswer: 2977612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 31 - 25 = -12*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/4)*y)\/y*(y**(-6\/5)*y)\/y)\/((y**(2\/9)\/y)\/(y*y**(-2\/9)*y)) assuming y is positive.\nAnswer: y**(379\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/6 - n**2. Let o(b) be the third derivative of b**4\/24 + 2*b**2. Give g(o(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 7*h**2 + 10*h - 14. Let l be i(6). Calculate the greatest common factor of l and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61, 254, 575, 1024?\n\"Answer: 64*z**2 + z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 150 = -7*m + 4*m, -5*v = 3*m - 118. Let j = 965\/21 - m. Which is greater: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 788 divided by 4\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 18*m - 510. Let l be p(32). Calculate the greatest common divisor of 2739 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*d - 416 = 5*m, 2*m = -2*d + 196. Let k = 106 - m. Solve 0 = k*l + 3*s + 8, 0*l = -4*l + 5*s - 36 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let d(x) = x**2 - 4*x**2 + 2*x**2 + x + 2. List the prime factors of d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3\/4, -3\/2, 3\/2 in descending order.\nAnswer: 3\/2, 3\/4, -3\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i - 195. Calculate a(-31).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 626 = 4*z - 326, -2*f = -3*z + 709. Suppose -z = -5*l + 62. Let i = 77 - l. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggmgcngcggggggddd.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2, -44, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 16\/3 (b) 43 (c) 2\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/5600*(80\/(-215))\/2.\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 783, 1974, 4101, 7476, 12411, 19218?\nAnswer: 28209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256 or 258?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 18*g**2 + 21*g - 149. Is f(-15) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111111011 (base 2) in base 6?\nAnswer: 44231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19671294 by -6.\nAnswer: 3278549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -7\/83 (b) 1\/2 (c) -15.2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/(-98))\/(-6*3\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100 + 1?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 84. Suppose 3*o = y*c - 5*c - 153, 5*c - 223 = -3*o. Is 2\/5 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-21))\/((-40)\/(-48)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u - 8 + 5*u + 4 - 1 + 7*u**3 + 2 - 11*u**2 to the form g*u**2 + n*u**3 + t*u + p and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 8*m - 4. Let p be q(7). Let y(v) = 7*v**2 - p + 3 + 7*v**2. Let l(c) = -c**2. Determine l(y(u)).\nAnswer: -196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**14)*l)\/l*l)\/l*l**(-1\/2)\/l*(l**(-6))**(-7\/5))**(1\/28) assuming l is positive.\nAnswer: l**(-71\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10495.\nAnswer: 5, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 44, 5.\nAnswer: 5, 44, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12097 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.5 - 20. Let d = 5 + o. Let s(j) = -2*j - 2. Let q be s(-3). What is the closest to -1 in q, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92403 + 92402.948129. Let g = h + 0.052. What is g rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230546 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2\/5 + 24*c\/5 = 0. Calculate c.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/1876 and -103\/58424.\nAnswer: 408968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 420 + -279. Suppose 0 = -2*x + 541 + v. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(5*y**4 + 2*y**2 - 2*y**2) - 6*y**2 + 6*y**4 + 6*y**2 to v*y**3 + j*y**4 + o*y**2 + i + b*y and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -178419, -178410, -178401, -178392, -178383, -178374?\n\"Answer: 9*s - 178428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**2 - 84*v + 41\/6*v**3 + 0. Let b(u) = -11*u. What is q(b(k))?\nAnswer: -451*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -85*a - 81. Suppose 108 = -2*u - 10*u. List the prime factors of k(u).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let k(y) = 686*y. Calculate k(b(c)).\nAnswer: 686*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 + -4?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 239161444 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1 + 5 - 1 - 2 + (-1 + 3 - 3)*(3 + 0 - 1) - 2 + 1 + 0)*(2 - 4 - 73*u + 114*u).\nAnswer: -123*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**14)**(-12)\/(n**(15\/8)\/(((n\/n**32)\/n)\/n)) assuming n is positive.\nAnswer: n**(969\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/18 + -1 - (-6)\/(-4). Suppose -n - 2*k + 34 = -27, 5*n - 235 = 4*k. Let w be (-2)\/(o\/n*3). Solve -6*u = -4*u + i + 10, w = -3*u - 2*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.07 - -129. Let y = 20.3 - 19.9. Which is the closest to l? (a) -1 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2540 by -508.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -258 + 263. Let u = 4 + -3. What is the closest to u in 3, 4, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 11:49 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8679277.\nAnswer: 8679277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = 5*z + u, 125 + 22 = -z - 4*u. Let w = z + 488. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5183051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.276029858 rounded to 3 decimal places?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 - 4610*k**4 - 101005*k**3 - 316000*k**2 + 2623660*k - 3101488 = 0.\nAnswer: -4588, -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135123150 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 6*n + 4. Let w(f) = 8 - 12 + 3 + 2. Let m(h) = h**2 - h + 2. Let r(b) = m(b) - 3*w(b). Determine -p(a) - 5*r(a).\nAnswer: a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34445 or -34446?\nAnswer: -34445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -20. Solve -3*y - 27 = -5*h, -3*y - 1 = h + j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 3}. What is prob of picking 1 e and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g + 41 - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 35. Suppose -2*h - 2*j + 376 = 0, -2*j - 887 - a = -5*h. List the prime factors of h.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-420))\/(-29*138\/16008).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 2*t + 5. Let d(y) = 2*y**2 + 4*y + 7*y**2 - 8*y - 11. Determine 3*d(v) + 7*z(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 167*q - 115*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = -8. Suppose 2 = a*j - j. Suppose -13 - 3 = -j*i. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/7500 and -67\/12.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 57\/4, -1 in descending order.\nAnswer: 57\/4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -389*w*y**3*z + 64*w - 2*y**3 wrt z?\nAnswer: -389*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007933079 to six decimal places.\nAnswer: -0.007933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.1177, 394, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 23 = 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.66.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 6*v**3 + 2*v**3 - 2*v**4 + (0*v + 0*v + v**2)*(2 - 2*v**2 - 2).\nAnswer: -4*v**4 + 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/7616 and 95\/224?\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 112*o - 113.\nAnswer: (o - 1)*(o + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*t**2 - 23*t**2 - 111*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/9)\/((-1)\/(-1365)). Let j be n\/12 - 1*4\/(-6). Let y = 401 + j. Calculate the common denominator of y and 35\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 16 - (-1)\/1)\/2. Let n be 2 - (-2 + (22 - 2)). Let r be ((-6)\/d)\/(120\/n). Which is the closest to 0? (a) 0 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(18\/(-24))\/((-36)\/(-8)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-8))\/((-144)\/48384*126)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(-162) + 6681290\/(-18). Let n = -253183 - x. Round n to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951664.\nAnswer: 2, 11, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*l - 55*l - 26 = 0. Suppose -21*p - 4525 = -l*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14162 - -14181. Calculate the greatest common factor of u and 8227.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h = -166*h + 61*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -18. Let z be 4\/(-6) - 8\/(-3). Suppose z*n = -m*b + 60, 0*b = 2*b - 5*n - 21. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n - 5. Suppose -5*o + a + 33 = -2*a, o = 5*a - 11. Let f(k) be the first derivative of -11*k - 13\/2*k**2 - 168. Calculate o*y(s) - 4*f(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-2))\/(((-54)\/(-12))\/9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986304397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 37*b**2 + 205*b + 174. Suppose -5*s + 739 = -206. What is the remainder when s is divided by k(30)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 110430870.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -286, -3\/8, 0.5?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 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: What is 2.908 rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:09 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44 - 27?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1321 - -1489. What is the lowest common multiple of d and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 + 201 - 407 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 2*l**2 + l**2 + (-1 + 1 - 2*l)*(2*l - 3*l - 2*l))*(4*l**2 + 11*l**2 - 4*l**2).\nAnswer: 88*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 2892, 9824, 23342, 45642, 78920, 125372?\nAnswer: 187194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53584945?\nAnswer: 5, 109, 98321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*k = 59*k + 356 - 1687 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1173 and -0.7.\nAnswer: -0.08211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4380902.09 - -58285.91. Let v = 4439196.999972 - j. Let k = v + -9. What is k rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2 - sqrt(891))**2 + (sqrt(275)*-5)**2.\nAnswer: 7766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbvb when four letters picked without replacement from bbbbvbbvvv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {r: 2, p: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003790367 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -336 - -296. Does -38 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from tntssclssgnl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*h**3\/2 + 56069*h**2\/4 + 83523*h + 499977\/4.\nAnswer: (h + 3)**2*(86*h + 55553)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/12 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50797 + 5968 = -892*u + 7799 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k. Suppose -3*h - h + b + 241 = k, -h - 5*b = -55. Suppose 3*o - 8*o + h = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -296774712.5 and -0.1?\nAnswer: 296774712.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -742.828 - 0.172. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/(-10) - (-4)\/(-20). Calculate the least common multiple of (-6)\/21 - 228\/l and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01347966062 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4 - (25 - 24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/9, -0.2, 12.1, 78.39 in descending order.\nAnswer: 78.39, 12.1, -0.2, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055488 rounded to 4 dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t - 2*t = -282 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -66288*b - 28. Let t(g) = -2*g. Give r(t(m)).\nAnswer: 132576*m - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1401*s - 43457. Give o(-31).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 6*o + 0*o)*(-3467470*o + 3467470*o + 4767*o**2).\nAnswer: -14301*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 2 (b) -2 (c) 5\/8 (d) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**3 + 0*q**2 + 0*q**2 + 117*q**3 - 107*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -225*u**2 + 6*u + 7. Let t(v) = -450*v**2 + 11*v + 12. Give -22*k(d) + 12*t(d).\nAnswer: -450*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 129880038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1459 - -1381) + (39 - -4)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1903 = w + 336, 0 = 4*y - 4*w - 1244. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 - y + 1. Let r be z(4). Suppose 7*u + 311 = 9*u + f, 5*u - 3*f = 761. Let v = u + r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5170 - 4948. Solve d*f - 219*f = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6534973 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -53*s + 8. Let t be m(-4). What is the greatest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woov when four letters picked without replacement from ooovwwwwvwwwwww?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/(-1725))\/(2*(-2)\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q. Let f be u(1). Let k(t) = t + f + t - t. What are the prime factors of k(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 59124*x - 118240.\nAnswer: -2*(x - 29560)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10e3 (base 16) in base 7?\nAnswer: 15414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -73970 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 3.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:42 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**3\/6 + 2*q**2 + 5*q. Let c(s) = -s**2 + 3. Let h be c(3). Let u be t(h). Put u, 2, 0 in descending order.\nAnswer: 2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 3*y - 1124*y**2 - 1050*y**2 + 79 + 2167*y**2 as n + w*y**3 + x*y + c*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0 + 1\/80*n**5 + 5*n**2 + 0*n**4 + 0*n - 1\/2*n**3. Factor h(p).\nAnswer: 3*(p - 2)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2525993954 and -13.093.\nAnswer: 2525993940.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2701*a*s + 160*a - 256296*s wrt a.\nAnswer: 2701*s + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49315293 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1247505 - 786?\nAnswer: -1248402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 903353 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 967 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + 11125\nAnswer: 11124.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 + 7580399*z**2 - 8650492*z - 1 wrt z.\nAnswer: -6*z + 15160798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 = 3*p - 1775, 5*p = -4*m + 3532. Suppose 0 = n - 0*n - 4*v - 226, -4*n + m = 5*v. Suppose 3*h = h + n. What are the prime factors of h?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 29, 0, -531, 4 in descending order.\nAnswer: 29, 7, 4, 0, -531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44466857 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 5*l**2 + 6*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 157 + 0*u**2 - 1498505*u + 1498506*u. Calculate f(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229949303809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.01377 + -141775\nAnswer: -141774.98623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.01023 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (1 - 1 - -2). Suppose f + d*f + 3*b = 12, 0 = 4*f + 4*b - 24. What is the common denominator of (f - 57\/33) + -2 and 125\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 2*sqrt(448) + sqrt(7))**2 + (-2*sqrt(84) + sqrt(84))\/sqrt(12) + 0)*-1 - (-4 + -3 + sqrt(28)\/sqrt(4) + sqrt(7) + sqrt(7) + -3)*3.\nAnswer: -4345 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (-1 + -5 + -53).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2. Let j(h) be the third derivative of h**5\/30 - 4*h**2. Calculate j(a(p)).\nAnswer: 98*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10472)\/84 - 1\/3. Let r = -125 - d. Let h = 2 + 2. Is h bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 + 327 = -p + r, -2*r = 62 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**2 + 5*v + 6. Let p be c(-1). Let f(h) = h**3 + 12*h**2 + 15*h + 25. Is f(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -3) + 13 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11986669 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*p - 5*d, -286 = -4*p - 4*d - 282 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3050 and 4059875.\nAnswer: 495304750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-5)\/(-1) - (-11)\/(99\/3321) and 33.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, 1\/4, 3.5, 42 in decreasing order.\nAnswer: 42, 3.5, 3, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510380 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 761805853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*o - 9*o + 18, 0 = -3*o + 4*i - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2562 - -13589. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17469\/62 or 281?\nAnswer: 17469\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 170773 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.65313 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 43\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + -5 + 2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1 + r)*(r**2 - 2*r**2 - r**2) - 187*r - 30*r**3 + 187*r.\nAnswer: -32*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16900 or -81?\nAnswer: -16900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 385689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22360 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 - 595317*q**3 - 5952918*q**2 - 9524592*q = 0.\nAnswer: -198429, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87\/182 + 2\/91. What is the closest to -0.1 in i, -4\/3, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 14 + 56 = 0. Suppose 42 = -7*g - 14. Let z(r) = 2*r**2 + 6*r + 1. Let b(c) = 5*c**2 + 17*c + 2. What is g*z(d) + y*b(d)?\nAnswer: -d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.65 - 16. Let u = i - 0.05. Let m be -1*(-1 - -3 - 7). Which is the third smallest value? (a) m (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.37 + 1.47. Which is the closest to z? (a) -3 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -17. Suppose u + 3*j = -6 - 0, 0 = -5*u + 2*j + 38. Calculate the remainder when c is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -231931 and -249531?\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, 1, -4, 2 in increasing order.\nAnswer: -17, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + h + (-1 + h + 1)*(-1 + 3 - 4))*((2*h**3 - 3*h**3 + 2*h**3)*(5*h - 4*h + h) - 6 + 6 + h**4 - 6*h**4 + 0*h**4 + h**4).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 - 16*z - 18. Let j(n) = -n + 3. What is 6*j(w) + t(w)?\nAnswer: -4*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(364\/8) + (-126)\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.32 - -1.12. What is the nearest to -1\/2 in -5, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) - 1*sqrt(240))\/sqrt(8) + sqrt(270)*3)\/((sqrt(2916)*1)\/(sqrt(6) + (sqrt(24) - sqrt(6))*-2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 3085. Let x(s) = 25*s - 18492. Calculate 13*t(i) + 2*x(i).\nAnswer: -2*i + 3121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13031123 (base 4) to base 3\nAnswer: 1111111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102203, 204396, 306587, 408776, 510963, 613148?\nAnswer: 715331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -22*i - 38 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 - -12 - 8 - 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.92 - 0.08. Let x = d - -30. Let i = -4.09 + -0.91. Which is the third smallest value? (a) 1.9 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 19. Let u be q(16). Let r be u*((-38)\/(-10) + -4 - 0). What is the nearest to 2 in r, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c - 336 = -4*u, -5*c - 3*u = 436. Let s be c*2\/8*-2. Suppose s + 69 = 4*m - 3*y, 0 = -3*m + 4*y + 77. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32704 divided by 7\nAnswer: 4672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d - 47. What are the prime factors of s(-10)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15*z. Let k(f) = -58*f**2 + 3. Determine i(k(q)).\nAnswer: 870*q**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrxxxxxxx. Give prob of picking 1 r and 1 x.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 10\/(-4). Suppose 16 = -2*d - 5*m, -4*d + 12 = -0*m - m. Find the second derivative of t - t**d + 0*t - t**z wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 5*l - 6. Let d(j) = 1. Determine -c(a) - 4*d(a).\nAnswer: a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50095753.\nAnswer: 17, 2946809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2836454415?\nAnswer: 3, 5, 23, 41, 193, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/3, 0, -5, 167?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*131\nAnswer: -65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2070261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -2.04. Let r = 2 - t. Let b = 14 + -10. What is the closest to r in 1\/2, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/n)\/((n\/(n*n\/n**3))\/n))**50 assuming n is positive.\nAnswer: n**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = l - 3*l + m, -2*m = -2*l - 16. Let t be 4\/20 + 19\/5. Let x be (t\/3)\/((-2)\/l). What is the highest common factor of 4 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 5. Let a(s) = 3*s - 21. Let b(p) = -2*a(p) + 9*x(p). Let t be b(3). Let q(z) = 4*z - 13. Does 9 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2*5)\/(sqrt(216)*1))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 352368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -26*d - 178. Calculate the remainder when (-2)\/7 + 121\/7 is divided by b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:07 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 5*n**4\/24 + 571*n**2. Let q(f) = 26*f**2. What is q(x(c))?\nAnswer: 650*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 8710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*d + 2, 0 = n + 4*d - 0*d + 4. Let o = 226 - 51. Suppose p + 4*p - o = 0. Solve -1 = -2*g + n*r - 11, 5*r = -2*g + p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h + 2*h + 3*h)*((1 - 1 + 2*h)*(0*h - 2*h + h) - 53 + 53 + 2*h + 4*h**2) to the form m*h**2 + d*h**3 + p + z*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -25*f**2 + 14*f - 9. Let u(z) = -13*z**2 + 6*z - 4. Give -3*o(s) + 7*u(s).\nAnswer: -16*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*r = 6, -5*g + 4*r - 9*r + 30 = 0. What is the tens digit of g\/((-12)\/10) + 163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011111 + 1000010?\nAnswer: -1111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92708648 is divided by 2804?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -2, -24, -58, -110, -186?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/15 - 8824*a**2\/15 + 2942*a\/5 = 0.\nAnswer: -4413, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19765760*c**2 - 14219903.\nAnswer: -39531520*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20*((-10296)\/(-330))\/(-13)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17087*y - 2323829. Give b(-136).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)\/(u**(4\/9)\/u))**20\/(u**(1\/4)*u*u**(1\/5)*(u*u**0\/u)**45) assuming u is positive.\nAnswer: u**(-3661\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/2*(-128)\/(-112). Let f be (-28)\/35*5\/(-22). What is the nearest to 2\/3 in -1, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h - 6. Let w be x(3). Factor w*g**4 - 10*g**3 - 6*g**2 - 3*g**5 - 2*g**3 - 5*g - 6 + 20*g.\nAnswer: -3*(g - 2)*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -9574, 2, 3, 5 in decreasing order.\nAnswer: 5, 3, 2, -4, -5, -9574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:44 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115661 (base 7) to base 16.\nAnswer: -530c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 28 = 8*c + 4*v, -2*v = 2. Let w(o) = -4723*o**2 - 8*o - 20. Let j be w(c). Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 8:44 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14149 = 4*r, 18*r - 15*r = -12. What are the prime factors of d?\nAnswer: 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 12. Let c(a) = -8*a - 36. Let w(f) = -f**3 - 4*f**2 + 4. Let h be (-8)\/(2 + 4 - 4). Let l be w(h). Let u(r) = l*c(r) + 11*j(r). What is u(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 45 = 7*w - 5*s, 4*s - 10 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*k = -18 + 4, -3*t - 4 = 5*k. Suppose 2*n - 6*n = j - 16, -t*j = 5*n - 23. Solve 5*o - j*x = -45, x - 2*x + 10 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*j**3 + 5 + 2 to the form z*j**3 + c*j + i + k*j**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506036.\nAnswer: 2, 3, 7, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(5\/(-27)))\/(43047\/286980)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -9\/2*q**2 + 0*q + 0*q**3 + 0*q**4 + 6 - 4\/5*q**5. What is the second derivative of v(y) wrt y?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105555291 divided by 453027\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/18)\/(-2*(-3)\/(-18)). Which is the closest to 2? (a) o (b) 1\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*j**3 + 146*j**3 + 145*j**3 - 3*j**2 + 140*j**3 - 577*j**3.\nAnswer: -3*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*n - 120, -3*b - 4*n + 44 = -32. Solve 0 = -5*s - b + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 1:26 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**8\/840 + d**7\/140 - d**5\/15 + 5*d**3\/6 + 4*d - 5. Let v(y) be the second derivative of u(y). Factor v(t).\nAnswer: 2*t*(t - 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f - 15. Let r(w) = -9*w + 31. What is 7*i(a) + 4*r(a)?\nAnswer: -a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 22*z - 29. What is c(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, f: 4, y: 3}. Give prob of sequence fyf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 43 = 7*d - 4*h, -h = d - 5. Let k be 4\/12*(56 - -1). Suppose -o = 6 - k. What is the remainder when o is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 25, 40, 57, 76?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1414 + -1399. Calculate the highest common factor of u and 5955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 - d + 6*d + 5*d wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011101000000011000010 + -101?\nAnswer: 100111011101000000010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 41 + 49. Let v = 3 + j. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88579365.9 - -94612492. Let r = -6033130.09999944 + y. Let w = r + 4. What is w rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (4 - -1)) + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + -3 + sqrt(684)*-2 + 6*sqrt(38)\/sqrt(2).\nAnswer: -6*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939814 to the power of 1\/2, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2869*r**3 + 121*r**2 + 1462*r**3 - 121 + 121*r + 1506*r**3. Let z(q) = 5*q**3 + 6*q**2 + 6*q - 6. Determine -6*g(f) + 121*z(f).\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 1, z: 2, d: 10}. What is prob of picking 3 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:08 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**3\/3 + t**2\/2 + 8. Let a = 235 + -241. Let u(f) = f**3 + 8*f**2 + 11*f - 6. Let q be u(a). Give r(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**3 - 2*q**2 + 3*q - 4. Let z = 16 + -13. What is the units digit of p(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 3*f - 105. Let o = 24 - f. Suppose 31 = h + 4*v, -h = -o*h + 5*v + 49. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y. Let v(j) = 2*j + 6*j - 5*j - 5*j. Determine v(n(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 17*m**2 - 2*m + 1. Let k be r(1). Suppose -26 = -2*f + 2*y, -32*y = 4*f - 31*y - 27. Solve -k = t + 4*d - 0*d, 4*t - 2*d - f = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-2))\/((-119)\/238))\/(12\/((-72)\/(-1)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 3*q - 2706, -1798 = 2*c - 5*q. Let d = c + 1288. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5394344 and -26971713\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -3*d**8\/2240 - d**7\/168 + d**6\/120 + d**4\/3 - 7*d. Let j(y) be the third derivative of l(y). Solve j(n) = 0 for n.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 87. Suppose -v + f = -n - 2*n, -4*v - 5*n + 416 = 0. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 1005644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t = -4*f + 20, -3*t + f = 1. Let l be 4\/(-6) + 20\/21. Let i = 19 - 19. What is the biggest value in t, i, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Let o(y) = -3*y - 3. Let m(f) = 1. Let k(v) = w*o(v) - m(v). What is the first derivative of k(u) wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3 (c) -0.1 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-140) + (3*2 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-12) + 29\/4. Let h be -4*1*(-14)\/a. Suppose -h*d - 20 = -12*d. Solve b = 3*f + 5, 0*b - 3*b - 2*f + d = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212450.4cm to meters.\nAnswer: 2124.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4 + 5*u**2 + 14*u. What is the first derivative of k(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 - -182. Let q(h) = h + 1. Let o be q(3). What is the highest common factor of o and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4260956*f**2*u**2*w - 4*f**2*u + 72161*f*u**2 + 4*f*u - 10*f*w wrt f?\nAnswer: -8521912*u**2*w - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -505 + 507. Suppose -t*l - 3*g = -17, -5*l + 2*g - 11 + 63 = 0. What is the lowest common multiple of l and (-25)\/(-4) - (-2)\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35 from 4471499.\nAnswer: 4471534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - 19?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/7)*p*p*p\/(p**4*p)*p)\/(p*p**7*p*p**(-3\/11)))**(-2\/9) assuming p is positive.\nAnswer: p**(1586\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -15*h**8\/112 - h**7\/14 + h**6\/3 + h**5\/3 + 14*h**2 + 7*h - 1. Let w(k) be the first derivative of x(k). Factor w(s).\nAnswer: -5*s**2*(s - 1)*(3*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anrrrrn. Give prob of sequence nr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let s = 64 + -63.9. Which is the nearest to s? (a) -3 (b) t (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 3. Let v be (-15)\/x + (1 - 0). List the prime factors of v\/(-18) - 112\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4 - 3*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31466 + -53203?\nAnswer: -21404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2291*g**2*l**2*w**3 + 21*g**2 + g*l**3*w**3 - 2*l**3 + 17*w**2 wrt w.\nAnswer: -13746*g**2*l**2 + 6*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224472014 to the nearest integer?\nAnswer: 14982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/57, 25\/22, -325 in descending order.\nAnswer: 25\/22, -4\/57, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 351, 257?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.89 + 8.99. Let p be ((-2)\/30)\/(11\/33). Which is the closest to o? (a) -0.4 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2021.564 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11900 divided by 2380\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2. Let g = -147 + 165. Let t(u) = -13*u - g*u + 4*u. Give t(r(a)).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131003123 - 10?\nAnswer: -131003133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k + 15 = 0. Let t = 5 + k. Calculate the remainder when 39 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/50)\/(4\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 5 - 3) + (-10 - -4 - -12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 30589492.38 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35544 divided by 4?\nAnswer: 8886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + n - 7*n - 895 = -519, 2*n = -2*v - 2*v - 140 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155.000003767 + 155. What is h rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/7)\/b)\/((b*(b\/(b**(-1\/3)*b))\/b)\/b))\/(((b\/b**(3\/5))\/b)\/(b*b**(-1)))*b**5\/(b\/((b**(-4\/3)\/b)\/b)*b)*b**0\/((b\/b**5*b*b)\/b) assuming b is positive.\nAnswer: b**(263\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 762484 (base 10) to base 12\nAnswer: 309304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 2*h**2 + 1. Let u be d(1). Let f = 329 + -291. Suppose -68 + f = -6*c. Solve -u*o + c*o = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0194918843 + 0.4\nAnswer: 0.3805081157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 220020202?\nAnswer: -220020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14036 is divided by 234.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -127371*f**2 + f. Let x(j) = 17*j. What is w(x(z))?\nAnswer: -36810219*z**2 + 17*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387117879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*q - 26 = 0, -q + 14 = 5*i - 60 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 4*t + 1. Let h(x) = -x**2 - 1. Give -f(v) + h(v).\nAnswer: v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 2*z**7\/105 + 26*z**6\/75 + 46*z**5\/25 - 2*z**4\/3 - 70*z**3\/3 + 50*z**2 - 88*z. Let w(f) = 0. Calculate f.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 442750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*p**3 - 1 + 9 - 9.\nAnswer: -401*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -2591.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 135, 193?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*((-17)\/(-15) - 1). Let z = -9 - -8.7. Let t = z - -0.7. Which is the closest to -0.1? (a) t (b) d (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743120000 rounded to the nearest one million?\nAnswer: 743000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1609*k**2*p**2 + 2*k**2*p - 5*k*p + 11*p**4 - 95*p - 4 wrt p.\nAnswer: 3218*k**2 + 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80925 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 34. What is the remainder when (-9 - (-208)\/(-20))*5\/(-1) is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/4 + 7*d**3\/6 + d**2 - 6*d. Let o(c) = -c**2 + c. Calculate -5*o(u) + y(u).\nAnswer: 2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 213*z + 9750 = 179*z. Let l(p) be the first derivative of 1\/3*p**2 + 5\/9*p**3 + z + 0*p + 1\/4*p**4. Factor l(b).\nAnswer: b*(b + 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 10*j**2 + 8*j + 3. Let d be q(9). Calculate the common denominator of 4\/((-3780)\/(-2907)) + (-15)\/25 and (-355)\/d*(-9)\/(-45).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 36 = 2*w. Suppose 7 - w = -k. Suppose 2*c + 0*c - 142 = -4*o, o = k*c + 8. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (831*l**3 - 1951*l**3 + 899*l**3)*(2*l - 3*l + 5*l)*(-4*l - l + 0*l).\nAnswer: 4420*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 751\/72 + -87\/8. Let x = 1.3 - 1.3. Let u = -64\/3 - -22. Which is the nearest to s? (a) x (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136203377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-6 - -4) + 3 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmcm when four letters picked without replacement from mccccmm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 315\/(3 - 6). Suppose 2*h - n = 3*q, 0 = -2*q + 2 + 4. Suppose 4*p - h = -5. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/128*12)\/(12*(-56)\/(-128))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/83 - 97\/166. Sort -11, -0.3, -4\/3, 4\/9, m.\nAnswer: -11, -4\/3, m, -0.3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, c: 5, y: 2}. Give prob of sequence oc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n**4 - 207*n - 397 wrt n?\nAnswer: 12*n**3 - 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 3, 29, -56 in decreasing order.\nAnswer: 29, 3, 1, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15278345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -430828 and 1.7.\nAnswer: -732407.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 31.\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2 - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013646982 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)*(a\/(a**(-1\/7)*a))\/a)**(-37)\/((((a\/(a*a**(-6)))\/a)\/a*a*a**(4\/9))\/((a**(-1)\/a)\/a)**(1\/5)) assuming a is positive.\nAnswer: a**(1832\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/2))**(-1) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.3564 + -174.3179. Let q = -0.049 - -124.049. Let d = j + q. What is d rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 2*r**7\/63 + 34*r**6\/15 + 737*r**5\/15 + 2149*r**4\/9 - 2756*r**3 + 18928*r**2\/3 - 10402*r. Let f(s) = 0. Calculate s.\nAnswer: -28, -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6478\/149 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/3 (b) 0 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - (-16 - -36)) + -17.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45241 + -21708. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 13*a - 10. Let t be (-24)\/(-9) + a\/1. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u + 1214 = -56*u - 157*u + 194 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -12, -29, -42, -45, -32, 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10312 and 104557235.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30720 and 352?\nAnswer: 337920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 26*h. Let l(y) = 4*y**2. Let t(c) = c**2. Let o(g) = l(g) - 2*t(g). Give b(o(m)).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 6*n**3 + 5*n**3 + (-n**2 + n - n)*(-n + 0*n - n) to the form j*n**2 + w + z*n**3 + p*n and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(17) - (sqrt(17) + sqrt(119)\/(sqrt(28)\/sqrt(4)))) + sqrt(17) - (sqrt(34) + -1*sqrt(34))\/sqrt(2)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -421*j**3 + 9*j**2 + 1. Let p(d) = 422*d**3 - 10*d**2 + 1. Let o(c) = -6*p(c) - 5*t(c). Find the third derivative of o(w) wrt w.\nAnswer: -2562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 726*j**3 - 7497*j**2 + 15876*j.\nAnswer: 3*j*(j - 7)*(j - 3)*(j + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120 + 69. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2, -52, -424, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1541*c - 1211.\nAnswer: -1541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0 - 52*a - 1\/3*a**3 - 1\/10*a**5 - 4\/15*a**6 + 0*a**4 - a**2. Find the second derivative of c(p) wrt p.\nAnswer: -96*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3123097650 to the nearest 1000000.\nAnswer: 3123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2181*x**8\/56 + 4421*x**4\/12 - 8970*x. Find the third derivative of f(y) wrt y.\nAnswer: -261720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 11, -8, 0, 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3329 is divided by 555?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2156) - (-3 + sqrt(2156) - sqrt(2156))) - 3*sqrt(2156)*-5) + 2.\nAnswer: -10 + 154*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -793 + 791. Let q(f) = -f + 3. Let k be q(-3). Calculate the remainder when 24 is divided by c*((105\/k)\/7)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -78*k**2 + 16701*k - 34953. Determine j(212).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.74 - -0.26. Let g be -1 - -1*(-1)\/(-3). Which is the closest to -1\/4? (a) -3\/5 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 80 = -4*b, -3*b + 2 = 5*l - 42 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*r - 375 = 0, -5*s + 2*r + 308 = -s. Let t = 791\/10 - s. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Suppose -3*i - 34 = -a*j, 5*j = 3*j + i + 26. Let h = 30 - 18. Is j at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -16, -23?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -395*p**3 + 12*p**2 + 128. Let i(g) = 2370*g**3 - 70*g**2 - 770. Let n(b) = -6*i(b) - 35*r(b). Differentiate n(u) wrt u.\nAnswer: -1185*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-26))\/((-2)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -45, 3, 903, -13 in ascending order.\nAnswer: -45, -13, 2, 3, 903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/100*105 + -5 + (-105)\/(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.145723 to three decimal places.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4446715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -2*o - o, 3 = 3*g. Let b be (-1)\/((-1)\/7 + 0). Let a = b - o. Solve -t - 5*c = 2*t + 29, a*t - 5*c - 5 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5230, 6144, 7058?\nAnswer: 7972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:49 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 21*k. Let j(x) = -x - 1. Let d(o) = o**2 - 3*o - 3. Let h(b) = d(b) - 3*j(b). Give h(c(t)).\nAnswer: 441*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/20 + 2*q**3\/5 - 31. Factor u(h).\nAnswer: -h**2*(h - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 17. Let s be q(6). Let k(y) = 4*y - 19. Let i be k(s). Suppose -i*n - 47 + 920 = 0. What are the prime factors of n?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/11))\/x**(-4\/3))**(2\/71) assuming x is positive.\nAnswer: x**(166\/2343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 6*k**2 - 2*k**2 - 2*k**2 - 1 - k**2. What is u(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 38. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-4 - (-8 + 7 + -5 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13752.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451600 + 451629. Let q = -0.01 + -0.29. Let l = q + 0.1. Are l and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 3. Determine q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hth when three letters picked without replacement from {t: 1, h: 11, v: 2, w: 1}?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3582234623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 4.61713.\nAnswer: 4.61713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76306642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:16 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 + 497260235.\nAnswer: 497260239.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182952302 and 54746.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4771.49 tonnes to micrograms.\nAnswer: 4771490000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99))**2*-4 + (sqrt(11) - -5*sqrt(22)\/sqrt(2)).\nAnswer: -396 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2613, -2618, -2623, -2628?\n\"Answer: -5*i - 2608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -57 + 114 + 3078\/(-54). Factor f + 0*k + 9\/8*k**3 + 1\/2*k**2 + 1\/4*k**4.\nAnswer: k**2*(k + 4)*(2*k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 20 = 4*h. Let a = 2 + h. Calculate the remainder when 205\/a - 22\/77 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 17*y - 10)*(y + 0*y - 2*y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 - i + 3. Let t be f(4). Let k(g) = 6 - 7 + 0. Let x(s) = 11*s + 9. Let l(z) = t*x(z) - 3*k(z). What is the derivative of l(o) wrt o?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let x be a(-5). Suppose 3*y + 4*t = -3, -5*y + 4*t = -41 + 14. What is the closest to -2 in y, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and 515010?\nAnswer: 515002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 748*p - 734*p + 78 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18377667 and 1683?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 2317500*y**2 - 4635012*y - 2317508.\nAnswer: 4*(y - 579377)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3242063 divided by -3242063.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*n**2 - 17*n**2 + n + 3 - n**3 - 37*n**2 - 29*n**2 - 11*n**4 to q + f*n**2 + b*n + o*n**3 + l*n**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -647, -1279, -2109, -3131, -4339, -5727, -7289?\nAnswer: -9019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/2134 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -10*s**5\/9 - 2036*s**4\/3 - 4858*s**3\/9 + 4472*s**2\/3 - 2440*s\/9 = 0.\nAnswer: -610, -2, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -753.8\nAnswer: 150.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 20553412?\nAnswer: -20553412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -374 + 189. Let u = b + 263. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 362*v**2. Let w(f) be the second derivative of f**3\/3 + 233*f. Calculate w(m(g)).\nAnswer: 724*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102518677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -345, 0.3?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111 and 2271.\nAnswer: 84027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 1, a: 2, b: 14, u: 1}. What is prob of picking 1 s and 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35636 and 2026.\nAnswer: 36099268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6145 minus -0.281?\nAnswer: -6144.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 1, u: 1, s: 2, g: 1, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.3. Let o be 204\/112 + (-135)\/60. What is the second biggest value in o, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 33 = 4*g - 517, -2*o = 4*g - 124. Suppose -3*j + 4*w = -74, -5*j + 28 + 42 = 4*w. Calculate the greatest common divisor of o and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)*f*f*f*f**(-1\/4)\/f*f*f*f**(-18)*f*f**(-18)*f*f)**(-4\/5) assuming f is positive.\nAnswer: f**(189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -90 (b) 0.5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 69 = m. Suppose 3*x + 24 = 3*w, 3*x = 5*w - m + 3. Is 20\/(-6)*24\/x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -10*l**4 + 3055*l**3 - 297525*l**2 + 9428000*l - 4640000 = 0.\nAnswer: 1\/2, 80, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 + 7*j - 6. Calculate g(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 55?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = d + 45 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4075*v**2 - 27*v + 2 + 2042*v**2 + 2034*v**2 as r*v**2 + o*v + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Let c = 1\/59 + 55\/236. Is c equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3467391223.\nAnswer: 3467391223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(20\/3)\/p*p*p**41*(p*(p*p*p**(-3\/10)*p)\/p*p)**(-21) assuming p is positive.\nAnswer: p**(-901\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 2*t + 7. Let k(m) = -3*m**2 - m - 6. Let d = -897 + 902. What is d*k(w) + 4*q(w)?\nAnswer: -3*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 40392 + 14124 = 0. Is v\/(-13) - (-4)\/(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 1. Let f be k(2). Let s be 238\/(-6) + (-80)\/(-30) + -2. Let z = f - s. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 636, -6, -2.\nAnswer: -6, -2, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 a factor of 134116688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + d = 41, 4*s + 3*d - 5*d - 30 = 0. Suppose 0 = -5*c + s*c - 108. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 3)*(2*d + 4*d - 5*d) + 9 - 12 + 4 + 49*d)*(1 + 1 - 4 - 1 - 1 + 0 + (-2 + 3 - 3)*(0 - 2 + 0) + 2 + 3 - 2).\nAnswer: 141*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-594)\/(-155) + (-342)\/90)\/(1\/31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4080 and 461040.\nAnswer: 461040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -289*u + 2324. Let h be f(8). Solve 4*t - 4 - h = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93160.\nAnswer: 2, 5, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-28) + 34\/8. Put 1, 0, -2, j in decreasing order.\nAnswer: j, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7375853581 to the power of 1\/5, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - (-4 - (6 - 14 - 3) - -1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 106 = 3*s + 66, 0 = -3*s + 5*d - 190. Let y = s - -22. Do y and -39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2649719 is divided by 294409.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 30 - 2*i + 10*i - 4*i**2.\nAnswer: -4*(i - 4)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*l*w**3 + 52*l*w + 2338*l wrt w?\nAnswer: -171*l*w**2 + 52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 377*x**2 + 2953*x - 7. What is v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 9819?\nAnswer: 392760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Suppose 0 = t*k - 6 - 4. Sort k, 1, -4 in descending order.\nAnswer: k, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94383 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/((-1)\/3). Suppose -6*q = -4*q + 3*k - 174, 0 = -3*q + 3*k + 231. List the prime factors of x\/(-3) + (-9)\/(q\/(-174)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31471848, -62943697, -94415546, -125887395, -157359244?\n\"Answer: -31471849*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h**2 - 80*h**2 + 66*h**2.\nAnswer: -86*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 14. Suppose -5*n - 160 = -4*v, g = -n + 1 - 5. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 12*r + 16. Let s be t(11). Suppose 3*v - 22 = q - 68, -2*v - 4 = 0. Calculate the highest common factor of q and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - 3*s**2 + (3 - 3 + s)*(-3*s + 0*s + 7*s) + 3*s**2 + 0*s**2 - 5*s**2)*(0*s**3 + 2*s**3 - 4*s**3) - 3*s**5 + 0*s**2 + 0*s**2.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l + 5. Let h(o) be the second derivative of -o**3\/3 + o**2\/2 + 1059*o. Let c(m) = -m + 1. Determine l*c(b) - h(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-75)*(-14)\/4*(-40)\/14.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4 - 8424*c**3 + 62885*c**2.\nAnswer: -48*c - 50544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 5. Let d be i(5). Let s(o) = -o - 6. Let v be s(-2). Let y(j) = -j**2 - 3*j + 9. Let x be y(v). Solve -2*b + 6*b = 3*q + d, q + x = 3*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 u when four letters picked without replacement from {u: 10, e: 4}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 35, 8, 28, -5, -1 in increasing order.\nAnswer: -5, -4, -3, -1, 8, 28, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 128.6. Let r = 0.079 - -7.121. Let d = r - 6.9. Which is the closest to -0.4? (a) t (b) 2\/23 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**6\/216 + g**5\/540 + 5*g**4\/216 - g**3\/54 - 21*g**2\/2 + 8. Let c(l) be the second derivative of y(l). Factor c(b).\nAnswer: -(b - 1)*(b + 1)*(5*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 29 + 33*v - 128.\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 67*m**3 - m**2 + 1. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2. Suppose -3*l - 19 = -2*m, 3*l = 4*m - 0*m - 29. Let t(d) = -m*d - 3 + 4*d + 3. What is t(i(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 437.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + 19. Let s = u - 34. What is the highest common factor of s and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 - -248. Which is the closest to 8? (a) -0.4 (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 249 = -9. Let -106 + 58 - g**2 + o*g - 11*g**2 = 0. Calculate g.\nAnswer: 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*11\/(-66)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or 17268\/133?\nAnswer: 17268\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = -b + 8, -3*b + 3*k + 6 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170452011?\nAnswer: 3, 23, 2470319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(320))\/sqrt(8))\/(3*-6*sqrt(288)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/539?\nAnswer: 5\/539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46 from 233.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 - 8*v - 7. Let c(f) = -32*f**2 - 7*f + 82 + 27*f**2 + 85 - 173. Determine 7*c(u) - 6*r(u).\nAnswer: -11*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*l = 5*l + 4, l + 4 = 0. Let y be 1\/(2*j\/600). Let i = -38 + y. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 = -4*q - 11, -4*v - 16 = -4*q. Let m be (234\/338)\/(v\/(-2)). Let g = -4 + 3. Which is greater: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 5, b: 2, o: 4, k: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s - 2. Let j(t) be the third derivative of t**4\/8 + t**3\/6 + 15*t**2. Calculate -11*j(w) - 6*x(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**(-1\/43))**25 assuming j is positive.\nAnswer: j**(10\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57949\/44 + -1317. What is the common denominator of 71\/88 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/9 (b) -302 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184658.71133 take away -182?\nAnswer: 184840.71133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -18390008\nAnswer: 18390004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4 + 1. Suppose -4*t = i - 7, i - t = -0*i + 17. Suppose v*g = 2*g - 2*h + 1, -g + i = -5*h. Solve 5*u = g*k - 10, 3*u + 0*k - 2 = -5*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 2 j when four letters picked without replacement from {l: 1, j: 3, g: 2, s: 1, h: 1, v: 5}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3041044 (base 6) to base 11.\nAnswer: 9a269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1416 = 479. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177981.3 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*y + 4113*y**3 - 4139*y**3 + 81*y.\nAnswer: -26*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/125 and -14\/725.\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 401?\nAnswer: -30\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*j**2 - j**3 + 20*j**2 + 20*j**2 + 1 in the form f*j**2 + x + t*j**3 + u*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*10\/(-5). Let f = 0 - g. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3234 + -2241. What is the second biggest value in k, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 150 (b) 3 (c) -0.5 (d) -6\/19 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-5))\/((-18)\/60). Suppose -80 = -5*q - s - 3*s, i*s = -q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/31 (b) -0.2 (c) -0.25 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 0.1 (c) -2\/3 (d) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((2817 - 2790) + (-18 - (2 - 3))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 16) to base 7\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 707009268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153639, 153648, 153669, 153708, 153771, 153864, 153993?\nAnswer: 154164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201 (base 6) to base 13.\nAnswer: -814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 65, 10, 9.\nAnswer: -4, 9, 10, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34814 and 2266?\nAnswer: 382954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3423*14\nAnswer: -47922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 460 + 844. Let h be z\/10 + 32\/(-80). Suppose -7*i - h = -8*i. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7740, 14, -11 in descending order.\nAnswer: 14, 2, -11, -7740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18892 (base 10) to base 8.\nAnswer: 44714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/2 + 7*v**4\/2 - 13*v**3\/2 + v**2\/2 + 7*v - 4 = 0 for v.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8820)\/(-2352)*(-28)\/(-30)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/(5\/(-270)). Let s(o) = -o**3 + 19*o**2 - 22*o + 70. Let r be s(z). Suppose 2*p - 5*n + 3 + 3 = 0, -5*p = 3*n - 16. Sort r, 5, 0, p.\nAnswer: r, 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2112.000579 - 2112. What is b rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2180 - 2175. Solve 5*b - 8*v + 9*v = 7, 3*b + s*v + 9 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782565 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y - 5. Let t be i(-1). Let k be (-7 - (-7 - t))*(0 - 0). Let b(f) = f**2 + 20*f + 10. Let l be b(-20). Solve 4*a = -k*a - n + l, -10 = 5*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 33.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2667 and 0.24.\nAnswer: 0.064008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*z - 322*z + 1320*z - 343*z - 326*z - 169.\nAnswer: 2*z - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17\/200 + -1\/25. Let n = -624 - -595. Which is the nearest to 1? (a) n (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07129638 to 3 dps.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/2 - 2. Let o be (0 + -12)*((-96)\/18)\/4. Suppose -4*j = -o*j. What is the nearest to -1 in 4, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**4*u + 2*s**3*u**2 - 2*u**2 - 100 wrt s?\nAnswer: 8*s**3*u + 6*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -277*m**5\/30 - 239*m**3\/3 - 187*m**2 + 2. Differentiate o(t) with respect to t.\nAnswer: -1108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540254?\nAnswer: 2, 11, 13, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3946, -3920, -3870, -3790, -3674, -3516, -3310, -3050?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + i = n - 123, 0 = 2*n - 4*i - 72. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2 - 6. What is the remainder when l is divided by 1\/((-8)\/(-6) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 16*t - 5. Let b be u(-17). Let w(r) = r**3 + 8*r**2 - r + 4. Let g be w(-7). What is the greatest common divisor of g and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6064453 (base 9) to base 2\nAnswer: -1100010100111001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*k**3 + 44292*k + 22285426 with respect to k.\nAnswer: 99*k**2 + 44292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0965 - -0.5181. Let w = p + -0.398. Round w to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivffvivvvfvvfff. What is prob of picking 1 f and 2 v?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 102, 3, 4 in descending order.\nAnswer: 102, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202257448 is divided by 1825.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2220*i - 174250 = -2030*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1550 by -682.\nAnswer: -25\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10312.78 rounded to the nearest 10?\nAnswer: 10310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12174.\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 1305, 2209, 3131, 4077, 5053?\nAnswer: 6065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-9))\/((-149)\/(-447))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -6*z + 3*z - 7, 5*z - 2*g + 29 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 (base 11) in base 8?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 354.\nAnswer: -83\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 17 = -12*b. Let y be -5 + (21 - (-3 - -9)). Sort b, -4, y in increasing order.\nAnswer: -4, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.184259g to kilograms.\nAnswer: 0.000184259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.144365ml to litres.\nAnswer: 0.001144365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 88 = 28*f. Let x(g) = -7*g**2 + 8*g + 4. Let u(r) = 13*r**2 - 15*r - 7. Calculate f*x(v) + 6*u(v).\nAnswer: v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 7*l**2 + 3*l + 6. Does 8 divide b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1658 divide 41668856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163.07137 + 0.3.\nAnswer: 163.37137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.623227 - 8.9832031. Let n = -0.36 - h. What is n rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 59*a**2 - 247*a + 20568. Give q(57).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(1\/(-5))\/(6\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*m + 24*m + 28. What is the second derivative of -142*a**4 + 20*a + 142*a**m + 4*a**5 + 1 wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9234 = 8*n + 10*n. Let k = n + 3593\/7. Is 2\/9 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -24*q + 4. Determine d(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*g - 4. Solve -f = -g*l + 9, -l + f + 0 + 7 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*n + 20*n + 460 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 112?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 22*u - 19. Let j be k(-6). Let m be j\/(-1) - (-15)\/15. Let h = 131 - m. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 0) + -25*(-6 + (-1054)\/(-170)). Suppose -2*g - 4*p + 4 + 8 = 0, 4*p = 3*g - 8. Let t(v) = -v - 1. Let x(u) = -u - 1. Give d*x(c) + g*t(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-1 + 20) - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11001 and 9348?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 33. What is the third derivative of 6*u**3 - 14*u**2 - 10 + d wrt u?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -212, -330, -448, -566?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5188019699?\nAnswer: 29, 73, 109, 22483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 1547\/10. Let n be 2 - 6*(-2)\/(-4). Do n and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s**3 - s**2 - s**3 + 3*s**2 + 837*s - 839*s + 2*s**2. Calculate r(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*x - 2. Let m(f) = f**3 - 7*f**2 - f + 9. Let a be m(7). Find the first derivative of -6 + 4 - 3*h**a + 2*h**x wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 78.2. Let u = i - -3.1. Which is smaller: u or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrdrdddddddd. Give prob of picking 2 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -3, -1, 5, 13\/8, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (32\/(-192))\/(3\/96). What is the closest to 1\/4 in 7\/12, h, -2, -1\/10?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(99) + (sqrt(99)*1)**2) + -1.\nAnswer: -496 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3483 is divided by 1159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -13*v - 2005. Let i = -401 - v. Solve -3*g - 2*g - 5*s - 15 = i, s = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**2 + 119082*f = 0.\nAnswer: -39694, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*g + 469 = -2*v, 5*g - 5 = 0. Suppose -9*a + 461 = -v. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 4*h**2 + 64*h**3 + 47*h**3 - 136*h**3.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141071 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d - 1 + 0)*(-1 + 15 - 5)*(-3 + 3 - 3).\nAnswer: -27*d + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*z - 7 - 14 = 0, 2*s - 2*z = 0. Let a(t) = 12*t**2 + 3*t + 4. Let w be a(-2). Let u = w + -47. Put u, s, 4 in ascending order.\nAnswer: u, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/31 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50484355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28889407\/347 - 83255. Let z = -34181\/6940 + g. Calculate the common denominator of -89\/2 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198875 and 55.\nAnswer: 2187625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 290, 0, 3, 4, 1, 13\/4, -1\/2 in descending order.\nAnswer: 290, 4, 13\/4, 3, 1, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-12 - 18350750\/(-1529231)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*p + 4*y, 3*p + 4*y = -22 + 8. Let v = 2 + 13. Let t be 33\/v + 1\/(-5). Is p equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233651 - -150?\nAnswer: -233501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2770 = 39*r + 238*r. What is the highest common divisor of r and 4105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.267, 0.5, 3\/5, 0, 17?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(847) - sqrt(847))*1*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5528835 and 6258915.\nAnswer: 7605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:52 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcnccrccccrnccc. Give prob of picking 3 c.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 103 = 56. What is the remainder when u is divided by (-70)\/(-4)*(-24)\/(-15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 35.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158398\/17265 - -88\/3453. Factor -46\/5*b**2 - 1\/5*b**3 + 1\/5*b + z.\nAnswer: -(b - 1)*(b + 1)*(b + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1857*f + 542. Give p(1).\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.57 bigger than -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4691, 4687, 4681, 4673, 4663, 4651, 4637?\n\"Answer: -a**2 - a + 4693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:16 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14365)\/11492)\/(7\/((-2688)\/45))?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from {g: 1, q: 2, u: 2, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710.626 litres in millilitres?\nAnswer: 1710626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -655\/12 + 169\/3. Let i(m) be the first derivative of -10 + u*m**4 + 0*m**3 + 0*m**2 + 8*m. Differentiate i(s) with respect to s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086897770?\nAnswer: 2, 3, 5, 97, 26561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 13 = -3*t. Suppose t + 9 = 5*r. Suppose -r*l - 3 = -6*l. Sort 0, l, 4.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 1726528 - 12990*b - 5618*b - 29597440 + 4857*b**2 + 320*b - 4860*b**2 = 0.\nAnswer: -3048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000104556512 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2990212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 60*r - 2*r + 986 = 0 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -617 * 0.1\nAnswer: -61.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**24*(c*c**(-2\/33))\/c assuming c is positive.\nAnswer: c**(790\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 15*g\/2.\nAnswer: 3*g*(g - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -259. Let o = 158 + n. Let u = -0.7 + -2.3. What is the smallest value in u, -0.03, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*d + 6 - 12, -87 = -11*k - 3*d for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 164226?\nAnswer: 164222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*i - 2*i = -340637 + 304995 for i.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*a**2 + 21*a + 1?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/42 + y**6\/6 + 19*y**5\/12 + 35*y**4\/12 - 72*y**2 - y. Solve p(a) = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 20 = -2*c, -577047*c + 2*v = -577048*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - d**2 - d + 1. Let v be c(-1). Solve -v*b = 2*u + 2*u + 24, -b - 14 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/18)\/(12\/(-1944)*8)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/22 - 46\/11. Let k = -1.8 - -1.4. Sort k, i, 1 in ascending order.\nAnswer: i, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22112 divided by -66\nAnswer: -11056\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 141607, -5 in ascending order.\nAnswer: -5, 4, 141607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 5*c**3 - 75 - 69 + 38*c**3 + c**4 + 143 to z*c**2 + w*c**3 + o*c + y*c**4 + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 154368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**5\/10 - 3827*a**4\/12 - 2*a**3 - 28*a**2 - 10*a - 17. What is the second derivative of b(d) wrt d?\nAnswer: -12*d - 7654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 11 = -8*x + 5*k, -k + 16 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 10) to base 11\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20*5)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 + 875014*g**3 + 723*g**2 - 227 wrt g?\nAnswer: 24*g + 5250084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + 3. Find the second derivative of -6*g**2 + 7*g - 13*g**2 + 7*g**w wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ddddtttdddd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - (-105)\/(-45). Calculate the common denominator of 4\/z*(-255)\/(-24) and 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.619263 rounded to 2 dps?\nAnswer: 22.62","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -1 + sqrt(208))*4*-4)**2 - (1*(sqrt(208) - (3*sqrt(208) - sqrt(208))**2) - sqrt(208))*1.\nAnswer: -4096*sqrt(13) + 214080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4661 and 0.2.\nAnswer: 932.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46129*k**2*o**3 + 665*k**2*o**2 + 35*k**2*o*z + 61*k*o**3*z + k*o**2 + 4*k*o + k*z - 2*o**3*z - 22*o**2*z wrt o.\nAnswer: 276774*k**2 + 366*k*z - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470737097?\nAnswer: 3, 71, 2301623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -16. Let b = z - -37. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 13 + 6 + 12*i - 5*i**2 + 0 - 4. Let s(n) = n**2 - n - 1. Let a(j) = -o(j) - 6*s(j). Solve a(v) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l - 2 + 0*l**2 + 1\/3*l**3. Let v(p) = 19*p**2. Determine g(v(q)).\nAnswer: 361*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*x - 474 + 472, 7*a = -2*x + 18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:00 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/88*(-1 - (-35)\/25). What is the closest to 0.05 in -1\/5, w, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + sqrt(34)\/(sqrt(32)*1))**2.\nAnswer: -3*sqrt(17)\/2 + 113\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3344432 (base 6) to base 2\nAnswer: 101001011000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*n + 56. Suppose n*z = -18*z. What is the third smallest value in 4, 3\/7, -0.2, z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0*c - 12*c + 0 as g + v*c and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 34*p - 338. What is g(-22)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11865, -21966, -32067, -42168?\n\"Answer: -10101*l - 1764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 8333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 35 = 3*o. Suppose 0 = -5*q - u + 30, q - 2*u - 2 = -3*u. Let w = -2 + q. Calculate the remainder when o is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -22 + 11 - -28 - -4408421. Let g = 391988 - -11199574. Let n = o + g. Round n to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7026013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 - -4) + 8\/(0 + 2). Let x be 6\/z + -1 + 6 + 2. Let b be -2 - (-1 - (0 - -37)). What is the highest common divisor of b and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - -101. Let o be -1*3\/((-30)\/(-4)). Let f = -12 + 7. What is the third biggest value in v, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -576.79503 take away 16984?\nAnswer: -17560.79503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61640 = -2*j + 4*a + 8894, a = -2*j + 70564. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/93 in -110.5, 7\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-5))\/4)\/((-483)\/(-138))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 22 = -52 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**4\/4 - 18885*f**3\/4 + 2917125*f**2\/4 - 110446875*f\/4 = 0?\nAnswer: -3927, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 2. Suppose -h*g + 2*g - 2*a = -26, 0 = -3*a - 6. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 16) in base 3?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1914 and 80\/6369.\nAnswer: 369402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*22028597\nAnswer: 88114388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 44*v**2 - 3*v**2 in the form r*v + y + b*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 199443453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:32 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783532404.\nAnswer: 2, 3, 179, 121591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 70 = -5*j, 21*j - 3*r - 52 = -j + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 3419\/195) + (832\/(-65) - -12)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 18*w + 44. Let g(i) = 19*i**2. Determine l(g(c)).\nAnswer: 342*c**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 take away -0.0771?\nAnswer: 84.0771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -231.68 * 5.\nAnswer: -1158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxzkknzxknkk. What is prob of sequence kxnx?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100210 (base 3) to base 8.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-990)*-22*25\/2. Let j(u) = u**2 + 2*u - 3. Let c be j(-3). Sort k, c, 3, -2.\nAnswer: -2, c, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -11*d**2\/2 + 938. Let u(m) = 2*m - 12. Calculate u(i(s)).\nAnswer: -22*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1100 - -1584. Let f = -345 + w. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 5*a + 3*a)*(a**4 + 0*a**4 - 4*a**4) + (-3*a**2 + 5*a**2 - 3*a**2)*(4*a**3 - 2*a**3 - 3*a**3) - a**5 + 3*a**5 + 0*a**5 + 2*a**5 - 1 + 1.\nAnswer: 14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10 - (56 + -4)*-46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1155747\/551968 + 2\/17249. Calculate the common denominator of s and 330\/260*7\/(-12).\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.2191, -1\/4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tewwtewtwqwtftffqt. What is prob of sequence ffq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*(1 - 4 - -31). Let i = 42 + u. Suppose -5*h + 28 = -i*p - 2*p, 5*p = -5*h. Solve h*a = a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:28 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -95 + 26*q**3 + 0*q**5 + 0*q**2 + 0*q**6 - 19\/7*q**7 + 0*q - 1\/4*q**4. Find the third derivative of l(d) wrt d.\nAnswer: -2280*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y*y*y)**(23\/2)*y*y*y**5*y*y**(-2\/7))\/(y**0*y**(-6))**25 assuming y is positive.\nAnswer: y**(1426\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/85, 5, 3 in increasing order.\nAnswer: 22\/85, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11 - 3*p**3 + 4*p**3 + 10*p - 11*p**2 - 8. Let v be x(10). Solve -4*u + 18 = 5*a, 3*a - v*u = a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 21984*x - 43994*x + 21997*x. Let f(k) = -11*k - 45. Give f(w(h)).\nAnswer: 143*h - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3978 divided by 2.\nAnswer: -1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 39 = 47. Sort -0.5, 0.4, l, -2 in decreasing order.\nAnswer: l, 0.4, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 1.0999878. Round r to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20970842?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -372, -1344, -2944, -5172?\n\"Answer: -314*j**2 - 30*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**3 + 19*r**3 + 15*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 3*c**3 - 5*c**3 + (3*c**2 - 5*c**2 + 0*c**2)*(-5*c + 0*c + 3*c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12*d - 55 = 0. Suppose -134 - 146 = -d*s. Calculate the greatest common divisor of s and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) 0.5 (c) -0.084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 12:30 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00577010537 rounded to six decimal places?\nAnswer: 0.00577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or -92?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 7*i = 2. Let o be i\/5 - (-216)\/40. Find the second derivative of -5*z**5 + 2*z - 2*z + 4*z - 3*z**o wrt z.\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9\/(-5))*3. Suppose r*o = -3*j + 433, 0 = -3*j + 23*o - 27*o + 434. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.466 rounded to 0 dps?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 6340018825?\nAnswer: 6340018830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3280 - 1397 = 30*a - 1507. Solve -5*j + a = -4*q + 71, 5*q + 27 = 2*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 71. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Suppose 2*i + a*k = 4, -3*k - 1 + 4 = 5*i. Let w = 0.98 + 0.02. What is the second smallest value in w, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 25, -171 = -3*y - 3*g + 9. What is the remainder when 214 is divided by y?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -387, -773, -1161, -1551, -1943, -2337?\n\"Answer: -x**2 - 383*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 10. Suppose 0*j - 12 = 5*a - 2*j, 3*a + 5*j + 1 = 0. Calculate the remainder when 15 is divided by 1*w*a\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 + 0 - 6\/5*l**3 - 3\/5*l**5 - 9\/5*l**4 + 0*l.\nAnswer: -3*l**3*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*x = -1497 - 421 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -299, -899, -2137, -4241, -7439?\nAnswer: -11959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1641, 1654, 1689, 1758, 1873, 2046?\n\"Answer: 2*p**3 - p**2 + 2*p + 1638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/o*o**10)**5\/(o*o**4*(o**(-4)*o)\/o*(o**(-1\/3))**(-1\/34)) assuming o is positive.\nAnswer: o**(-103\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-40)*(-8)\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/14 - (-69413)\/287 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 58*x**2*z**2 - 470*x**2 + 7*x*z**2 wrt z.\nAnswer: 116*x**2*z + 14*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1\/8, -3, -1, -3\/2 in increasing order.\nAnswer: -3, -3\/2, -1, -1\/8, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -6 - 6 - -117. Suppose 78*y = 62*y + k. Calculate the remainder when 187 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 5 - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -251, 4, -57, -572, -4 in decreasing order.\nAnswer: 4, -4, -57, -251, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104235197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 10. Let j = 14.8 + r. Which is the second biggest value? (a) -1 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3 + 47. Let c(g) = -5*g**2 - 2*g. Let f be c(-2). Calculate the remainder when 2\/3*3 - f is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 177. Suppose -4*c - 3*t = -f, 4*t + 21 + 11 = 4*c. Solve -c*b - 2 - 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1 + 2*sqrt(243) - ((sqrt(243) - ((sqrt(243)*-2 - sqrt(243)) + 5 - sqrt(243))) + sqrt(243))) + 3)*-3)**2.\nAnswer: -40824*sqrt(3) + 318897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848 + -915 + (-2 + 0 - -3 - 6) + 13.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176462 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**12*t)\/t)\/(t*t**(4\/11)*t*t))\/(t*t*t**(-1\/3)*t)**(2\/29) assuming t is positive.\nAnswer: t**(8089\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -10. Suppose 5*h = f + 38. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 - (sqrt(1573) + sqrt(1573) + 0))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6815*h - 6817*h = g - 39, 3*h = -3*g + 63 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146461*s**5 - 4*s**2 - 2894*s - 1106?\nAnswer: 2929220*s**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*3*(sqrt(117) + -2*sqrt(117)))\/(sqrt(18)\/sqrt(2)*3 - (sqrt(324) - -1*sqrt(324))).\nAnswer: -5*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -988 - -1747. Suppose -5*u + w = 229. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -235, 0, 4 in ascending order.\nAnswer: -235, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -12*b**3 - 15603*b**2 - 19488*b - 3897 = 0?\nAnswer: -1299, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*o - 73*o - 2864*o.\nAnswer: -3356*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77687*w + w**3 + 77687*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltfyyhhfyfh. What is prob of sequence ylf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Suppose -5*w + 2*l - 369990 = 0, -3*l - 5351 = -i*w - 301336. What is w rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228) + (sqrt(228)*1 - sqrt(228)) - sqrt(228)) - sqrt(228))\/sqrt(12).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-70))\/(2\/(-14)). Suppose -2*m + 400 = 2*d, t*m - 632 = -m + 5*d. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 0, -0.07, -42, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 + 2 = 0. Suppose 0 = -4*a + 221 - 125. What is the highest common factor of a and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56668 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/22 and 23\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233229379 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 311503562 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 = -3*r. Suppose -x - n + 1 = 0, -n - 10 = -2*x + r. Calculate the highest common factor of 66 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.0900258?\nAnswer: -0.0450129","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*a**4 + 6 - 9 + 2*a**2 as m + z*a**3 + f*a**4 + q*a + b*a**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -44, 2, 14, -5, 1 in increasing order.\nAnswer: -44, -5, -2, 1, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**6 - 20\/3*f**2 + 0 + 7\/12*f**5 - 10\/3*f**3 - 5\/126*f**7 - 8*f + 5\/18*f**4. Suppose h(b) = 0. Calculate b.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = x. Suppose x*v - 15 = 200. What is the remainder when v is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*k + 461*k + 276*k - 56340 = -207*k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:52 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93170)\/440)\/77*(6 - -2)\/(1\/(-4)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/14 and 3\/(-6) - 69\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 1502*i**2 + 47062*i - 691. Determine f(32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 3 + 9\/2*t**4 - 15*t + 0*t**2 + 0*t**3. Differentiate j(p) wrt p.\nAnswer: 54*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + 2*sqrt(204)*4 - -2*-2*sqrt(204))\/(-6*1*sqrt(1452)).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0.4 (c) -58 (d) -5 (e) -0.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 16, -63?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*l - 95*l - 109*l in the form z + c*l and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2240\/3, -228, -2\/15 in ascending order.\nAnswer: -228, -2\/15, 2240\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*q - 0 + 2, -2*s - 2 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5)\/r*r*r*r\/(r*r\/(r*r**(-5)\/r*r)*r*r))**28\/((r*r**(-1\/3)*r*r)**(-18))**34 assuming r is positive.\nAnswer: r**(7348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 0, f + t = 6*t + 3. Suppose -5*y + 2 = -f*y. Does 8 divide (2 - 5)*(-2 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a63 + 4?\nAnswer: -1a5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9802808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 5:46 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 225424 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 k(z) = 181*z**2 + 130*z - 133. What is k(1)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/2)*g\/g**(-15)*g)\/((g**(-2)\/g)\/(g*g\/(g\/g**14)*g)) assuming g is positive.\nAnswer: g**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.26888 at least as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -569 (b) 2\/9 (c) -2 (d) 5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-5)\/((20\/2)\/(-20)*-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 649 - 383. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + -2 + sqrt(1377))*-4 + -5*-3*(sqrt(833) + -1)*4)**2.\nAnswer: -8352*sqrt(17) + 2058912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 62*n**2 - 15*n - 26. Let o = -13 + 16. Let a(m) = -21*m**2 + 5*m + 9. Let y(b) = o*v(b) + 8*a(b). Is y(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 74. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4115 is divided by 4092.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 12:54 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfzrm. Give prob of sequence bzr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkix when four letters picked without replacement from {i: 8, v: 2, p: 5, x: 1, k: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:30 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j\/j**(-4)*j**(2\/23)*j*j**(-1))**(-4) assuming j is positive.\nAnswer: j**(-1204\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 15*w - 5*a - 45, -5*a - 15 = 2*w. Solve -3*p = -4 - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180561*d**3*x - 122014*d**3 + 9*d**2*x**2 - 2*d**2 + 27*d - 6*x - 4 with respect to x.\nAnswer: -180561*d**3 + 18*d**2*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133654128889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -321*i**7\/14 + 169*i**4\/4 + 485*i. What is the third derivative of v(n) wrt n?\nAnswer: -57780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-2 + 3))\/2. Suppose j - 9 = -w. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from {o: 1, u: 3, y: 1, w: 1, d: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g = -81*g + 287040. Calculate the highest common factor of g and 585.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x. Let o(r) = 183*r. Give o(h(c)).\nAnswer: -2745*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 4:19 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34930 divided by 67\nAnswer: 34930\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1\/4 - (-102)\/24. What is the hundreds digit of 2726\/8 + m\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (-4)\/16*0 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010 - 11?\nAnswer: 10011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54435 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1915357400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -16*q**2 + 5*q - 2. Let k(d) = -475 + 19*d**2 + 11*d - 17*d + 478. Let v(c) = 6*j(c) + 5*k(c). Determine v(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214 and 2033?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/(-31)*18\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 13*i + 54. Let o(r) = 4*r**2 + 14*r + 55. Let x(h) = -5*d(h) + 4*o(h). Let q be x(13). Solve -5*w - 3*v = -15, -2*w + 5*w + q*v = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -11. Let m be (-2)\/2*(j - 6). Suppose 2*f - 123 = -m. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21258893*r - 84 = -21258890*r - 15*h, -16 = -3*r - 5*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*g + 297*g + 295*g - 859*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.99 - 1.49. Let z = -70 - -3291\/47. Let k = 51\/188 - z. What is the third smallest value in -1\/7, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25798, -25815, -25824, -25825?\nAnswer: -25818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:57 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 1\/2*r**2 - 2\/3*r - 1\/9*r**3 - 4. What is h in j(h) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39836 and 517878\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i**2 - 24*i + 2 - 9 + 31*i + 7 to a*i + t*i**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 785342461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -7. Suppose 2*r - 4*u + 12 = 0, 3*r = r + 5*u - 15. Suppose 2*k - 3*y - 2 = r, -5*y + 3*y = -4. What is the remainder when b is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691453333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-495 + 246 + 264)*(-q - 1 + 1)*(-6*q - 2*q - 42*q) to the form a + o*q + b*q**2 and give b.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 - u**4\/12 + u**3\/6 + u**2 - 5*u. Let j(p) = 1. Determine 2*j(h) - t(h).\nAnswer: h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -588230\/1659 less than -354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 25 = 5*z - 3*o, -3*o = z + 12. Let b be z\/(-18) - 8\/(-48). Are b and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 + 2*h**3)*(-75*h - 6*h**2 - 2 + 4*h**2 + 18*h).\nAnswer: -4*h**5 - 114*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 + 6. Let x be h(-5). Calculate the greatest common factor of x and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -37. Suppose -1 + k = 6*p. Suppose 3*s + 164 = 5*b - 393, p*b - 3*s = 230. What are the prime factors of b?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2600, -2579, -2548, -2501, -2432, -2335?\nAnswer: -2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13767 - 13559 = 52*i. Solve -20 = i*u, 7*u - 22 = 3*p + 12*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 43576373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i*i**6))\/i)\/i**(-1))\/(i**2)**29)\/((((i*(i\/(i\/(i\/i**3*i)))\/i*i)\/i)\/(i\/i**(3\/5)))\/((i*i*i**0)\/i)**46) assuming i is positive.\nAnswer: i**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82.2 + -82. Let k = 2.8 - -0.2. Sort i, k, 2\/9.\nAnswer: i, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24519460?\nAnswer: 2, 5, 7, 43, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*h - h**2 - 108*h - 4*h**2 + 0*h**2 to the form y*h + m + i*h**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 20*v**4 - 405*v**3 - 6360*v**2 - 9545*v + 2790 = 0.\nAnswer: -9, -2, 1\/4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2595 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 304187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 2. Let d(n) = -2*n + 2. Let p = -566 - -560. Let b be (p\/7)\/((-609)\/(-98) + -6). What is b*d(t) + 3*a(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**7\/14 - w**6\/10 - 3*w**5\/10 + w**4\/2 + w**3\/2 - 3*w**2\/2 + 7*w. Factor x(z).\nAnswer: 3*(z - 1)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 18*v - 23*v - 22, 0 = 3*g + 2*v + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15219.\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-51)\/85 + (-44)\/10. Which is greater: b or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, -25, -240, -655, -1336, -2349?\n\"Answer: -11*c**3 - c**2 - c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -20 - 16. Let b = 38 - f. Solve b*u + 4*g + 10 = 0, 0 = -u - u + 3*g - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0723278966 - 284?\nAnswer: -284.0723278966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 22 - 40 - 3*v**2 - 457*v + 255*v + 219*v. What is k(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2997, -6061, -9111, -12141, -15145, -18117, -21051?\n\"Answer: u**3 + u**2 - 3074*u + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 5*t**2. Let j(p) = -5*p**3 + 14*p**2. Let h(y) = -y + 1. Let x(a) = 5*a**2 - 1. Let l be x(-1). Let m be h(l). Give m*j(g) + 8*q(g).\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by 25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/7 + 374*n**4\/7 + 592*n**3 - 1400*n**2 = 0.\nAnswer: -175, -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + z = -2*t - 11, 5*t + 5*z - 25 = 0. Suppose -4 = -t*y + 4*f - 0, -1 = 2*y - 5*f. Solve 3*b + y*a = -8 + 2, 0 = 3*b + a + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 181*o + 184*o = -6, -5*o - 10 = u. Suppose -4*r = 0, -r = -4*f + 2*r - 344. Is u >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4305251972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8452 and -671.85?\nAnswer: 5678476.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190535 and 15635.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbjn when four letters picked without replacement from {b: 1, j: 2, n: 1, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*t + 17, -3*t - 4*l = -2*l - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/6 - 5*d**3\/6 - d**2\/2 + 2*d. Give j(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**8*x)**48 assuming x is positive.\nAnswer: x**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501030*i**3 - 501022*i**3 + 0 + 0.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -20, -35, -46, -47, -32, 5, 70?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.045503896\nAnswer: -0.182015584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) -194 (c) -0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*j + (1 + 7 - 4)*(4*j - 5*j + 2*j))*(5 - 3*j**3 - 5).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 36*s**3 - s + 1. Let y be o(1). Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 - 4*t**3\/3 + 5*t. Let l be i(8). What is l rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153 - 3*p**2 + 5*p**2 + 19*p - 3*p + p + 14*p wrt p.\nAnswer: 4*p + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - (11 - (-30 + -27))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {m: 1, b: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d - 23*d**2 + 145*d**3 - 142*d**3 - d**2 = 0. What is d?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/(-57)*(-1)\/(6\/105). Suppose 18 - 4 = 2*f. What is the greatest common divisor of i and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 5:12 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*t**3 + 42440 - 42369 + 74*t**3 wrt t.\nAnswer: 174*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gltdddgcld. What is prob of sequence ll?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -120070, 0, 3, -0.3?\nAnswer: -120070","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 1.8919?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4178973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380651365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*x + 3*x - 402 = 0, 2*a - 5*x = 776. Suppose 4*m - a = -346. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, e: 1, w: 11}. Give prob of picking 2 w and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q**2 + 2622930*q. Let f(u) = 2*u. Calculate f(x(t)).\nAnswer: -24*t**2 + 5245860*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 246*g**2 + 212*g - 8688. Determine c(-247).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62\/(((-4)\/(-114))\/((-4)\/(-12)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(77)*-5 - sqrt(77))\/(sqrt(343)*-2).\nAnswer: -2*sqrt(11)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101 + (33 - (0 + 14) - 59).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 88 = -2*x. Suppose x = 4*t + 12. Let g = t + -3. What is the highest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naonogadngnnwangda. What is prob of sequence aoo?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030281294 to 6 decimal places.\nAnswer: 0.030281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2204120057 to the nearest integer?\nAnswer: 46948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*2 + 5)**2 + 1.\nAnswer: 20*sqrt(3) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10180 - -10104. Which is smaller: -615\/8 or s?\nAnswer: -615\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5 + 87*u**4 + 2112*u**3 - 112128*u**2 + 1523712*u - 6881280 = 0. What is u?\nAnswer: -35, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -454*i - 3176. What is j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 1. Let b be l(1). Suppose -2*h - b*h = -8. Find the third derivative of 3*q**4 + 3*q**h - q**2 - q**4 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*q + 3366846 = 0, 4*q + 931070 = 2*d - 415630. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 2, i: 1, m: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2178)\/(-1804))\/(141\/1927).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.474 + 32.8. Let h = l - 0.026. What is the closest to 1 in 3, -11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/7)\/f)**(49\/4)*(f**17)**(-16))**(-46) assuming f is positive.\nAnswer: f**12834","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4343 + 2?\nAnswer: -4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by -1?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let u(k) be the second derivative of -k**4\/12 + 921*k**3\/2 + 6858*k. Determine v(u(l)).\nAnswer: -2*l**2 + 5526*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2)\/3)*173\/1211.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3024 plus 0.3?\nAnswer: -3023.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*m, -a = a - 5*m - 7. Let g(l) = -3*l + 2. Is 5 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2812*a - 55. Calculate the remainder when v(-1) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y*y)**40*y\/((y**(2\/11)*y)\/y*y)*y*y\/(y\/y**(-10)) assuming y is positive.\nAnswer: y**(4573\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16\/45 - -1\/45. Let t = -0.01 - 6.59. Let r = 7 + t. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l - 20 = 0. Let g be 1 + -1 - l\/6. Let v = 984706 - 984704. Which is the third biggest value? (a) 4 (b) v (c) g (d) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20624990.399 and -5.\nAnswer: -20624995.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2166 and -3.\nAnswer: -2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228197671?\nAnswer: 13, 1823, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -20, -5, -2\/7, -6, -15030, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2094\/7 + 300. Suppose -15 = 5*p, 3*v - 5*p - 15 = -4*p. Suppose 0 = 3*g - v*g + 4, -y + g + 1 = 0. What is the closest to 1\/2 in -0.5, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 139*d + 3. Let p(h) = -164648*h. Give p(f(x)).\nAnswer: -22886072*x - 493944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 992 = 5*u. Is u\/2 - -1 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/19 (b) -3\/4 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 4*a + 7. Let q be j(-5). Suppose q = -2*t + 5*p, -7 - 7 = -5*t + 3*p. Factor 40*c**2 + 3*c**4 - 9*c**t + 11*c**4 + 35*c**3 - 80*c.\nAnswer: 5*c*(c - 1)*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 4:33 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 814 or 815?\nAnswer: 815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1925 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.19 - -26.39. Let h = i + -24.6. What is the second smallest value in h, 8, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*f**2 - 2285*f**2 + 1125*f**2.\nAnswer: -41*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 393, 382, -0.1, -2\/3 in decreasing order.\nAnswer: 393, 382, 4, -0.1, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 128\/6551 in -1\/3, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3323 in 0.3, -0.5, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + m = 6*d + 6200, d - 1251 = 2*m. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*q - 18460 = -80*q + 22*q. Are 132 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.2 - -4.6. Let l = r + 5. Let j = -0.1 - -0.1. Which is the nearest to j? (a) l (b) -4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 18*m + 14 = 0, 0 = 4*z + 6766*m - 6767*m + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 - -203. Sort q, 3, -59.\nAnswer: -59, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -6*w + 7*w. Suppose -6*i + w = 1. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**5\/4 - 1179*h**4\/4 - 43512*h**3 - 2866794*h**2 - 72001188*h - 69177612.\nAnswer: -3*(h + 1)*(h + 98)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1573) + 0 - sqrt(1573)) + 6*((-1 + sqrt(1573))**2 + sqrt(1573) + sqrt(1573)))*5.\nAnswer: 47225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.87978666 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.5. Are 9 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 93488157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 2)*(-2*o + 3*o + 0*o)*(-1 - 3 + 2).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/7 + 738*b**4\/7 - 2306*b**3\/7 - 27138*b**2\/7 + 144576*b\/7 - 26784 = 0. What is b?\nAnswer: -372, -7, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(102)\/(sqrt(66)\/(sqrt(88)\/sqrt(8) + sqrt(11)))*-2)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:51 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*h**4 - 681*h**3 - 2882*h**2 - 202.\nAnswer: 3240*h - 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23 and -157344.\nAnswer: -157321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104 or -105?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m - 8. Let n be r(-6). Let z(s) = s - 1. Let v be z(8). Suppose 3*w - v = -n. Let b(f) = 5*f + 1. What is b(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-135)*(-3213)\/(-34)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6)*f*f**0\/f)\/(f**3*f*(f\/(f*f**6\/f))\/f) assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 115*x**2 + 21733*x + 4996312.\nAnswer: 230*x + 21733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-5))\/(m\/m**0)*m**(1\/12)*m\/(m*m\/(m*m**(-6\/11))*m))**30 assuming m is positive.\nAnswer: m**(2335\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -209*w - 2. Let f(g) = 263121*g + 2519. Give 2*f(b) + 2519*k(b).\nAnswer: -229*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63681142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 - 10*x**2 - 413*x - 404. Give p(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*j + 24, -5*j - 5*f = -0 + 10. Suppose -j*l - 4*d + 8*d = 10, 2*l = -3*d + 25. Solve 0 = 12*t - 7*t - l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + -2 + 21 + -1 + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 48. Let r be p(20). Suppose -r*x - 4445 = -15*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + g - 2. Let h(u) = u**2 - u + 1. Let m(r) = -2*h(r) - x(r). Let v(p) = -p**3 + 7*p**2 - 1. Let b(l) = -3*m(l) + v(l). Give b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 300*v**2 - 15*v. Let i(t) = -131*t + 2. What is p(i(n))?\nAnswer: 5148300*n**2 - 155235*n + 1170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375405 and 120495?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -271825, 4 in decreasing order.\nAnswer: 4, -4, -271825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 506?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8357636 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*a + 22 = 0, 49 = 4*b + a + 65 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j - 63. Let z(s) = -7*s - 126. Give 10*i(l) - 4*z(l).\nAnswer: -2*l - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 110 = -0*o. Suppose -4*l = o*m - 82, 2*l + 2*m = 3*m + 34. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8343408861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 + 18 = 0. Let i be (-2)\/6 + (-64)\/(-12). Suppose q - 51 = -5*v, 0 = v - i*v - 4. What is the greatest common divisor of s and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1729\/(-28) - -61)*(16\/57)\/2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/7)*x**(-2\/3))**(-36))**39)**(-32) assuming x is positive.\nAnswer: x**(194688\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -237*s - 49. Let k = 85 - 56. Suppose 0*t = -3*t - 3*d - 21, -3*d - k = 4*t. Is g(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4) - sqrt(2))*4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11431024000 rounded to the nearest one million?\nAnswer: -11431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/4 + -4)*(-4)\/(-14). Let x = 0.18 - 0.2. Let g = -2.98 + x. Which is greater: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 + -109.99999867. Round q to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/15)*n\/n**(2\/19)*n*n**(-7\/2)*n*n**(2\/3) assuming n is positive.\nAnswer: n**(-41\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20347021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 + 7*y + 5. Let g = 62 - 38. Suppose 6*m - 2*m = g. Does 18 divide a(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/151 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211621 is divided by 6826?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1481, 1\/3, 2\/5, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-26)\/91)\/((-2)\/14 + 0). Suppose b + 3*b - 263 = n, -x*n = -b + 71. What is the remainder when b*1 + -3 + 0 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(117) - (sqrt(117)*1 - sqrt(117))*1) + ((sqrt(13)*1 + 4 - (-1 + sqrt(13) + sqrt(13)*2)) + 4)**2.\nAnswer: -33*sqrt(13) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 387645 - -53345. Suppose v - 4*p - 146990 = -2*p, -f = -3*v + 2*p. What is v rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59400?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (75*2)\/(26 - 24). What is the highest common divisor of 195 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9592)\/28 + (-18)\/(-84)*-2. Let v = -1012\/3 - h. Which is the third smallest value? (a) -1\/2 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -3*t**2 + 0*t + 0*t**3 - 1\/6*t**4 + 0. Let r(d) = 3*d. What is -6*r(h) - 5*x(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -260857 * -0.2.\nAnswer: 52171.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, 4*b + 2 = 3*d - 4. What is the derivative of -42*t**2 + 45*t**2 - d + 4 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s\/s**(-3\/16))\/(s\/(s\/(s*s\/s**(-3\/7)))*s\/((s\/(s\/s**(-14)*s))\/s*s*s)) assuming s is positive.\nAnswer: s**(-2267\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12033, 13897, 17013, 21387, 27025, 33933, 42117, 51583?\n\"Answer: g**3 + 620*g**2 - 3*g + 11415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*i**5\/7 - 4188*i**4\/7 + 14024*i**3\/7 + 18845*i**2\/7 + 5036*i\/7 + 384\/7 = 0. What is i?\nAnswer: -32, -3\/4, -1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1721344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 4*v - v. Suppose 3*y + 7*j = 3*j + 43, -4*y + v = 5*j. Suppose -16*p + 459 + 113 = 6*p. Calculate the remainder when p is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132523011 divided by -2\nAnswer: 132523011\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-8))\/(3\/12). What is the derivative of 7*w**3 - w**v + 2 + 4 + 3*w**3 wrt w?\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4988 is divided by 76.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4336967 plus 0?\nAnswer: 4336967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = g + 2*g. Let o be -6 + 3 - 0 - 18\/(-1). Suppose -19*y = -o*y. Solve 3*h = c - 3, -11 = -y*c + g*c + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y**(-7))\/((y*(y\/(y*y\/(y*y**0)))\/y*y)\/y*y)**(-50))\/((y*y*y**2)\/y**12)**(-34) assuming y is positive.\nAnswer: y**(-228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004965486 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016278668 to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -h - 45. Suppose -u - 3*t - 5 = 2, -h = -4*u + 5*t. Put 39, 0, u in decreasing order.\nAnswer: 39, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:54 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28565 = -528*d + 2629*d - 59677 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6264, 6256, 6252, 6252?\nAnswer: 6256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -20*j. Let g(r) = -r**2 + 6. Let o(i) = -i**2 + 7. Let h = 8 - 20. Let n(f) = 3*f + 30. Let t be n(h). Let c(w) = t*o(w) + 7*g(w). What is d(c(u))?\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6601 = 129*o - 122*o. Suppose r = -5*y + 1463, 0 = 3*y + 4*r + 72 - o. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 1. Let b be (-2 + 2\/1)*-1. Calculate the remainder when -5 + p - (-34 - b) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15675 and 30690?\nAnswer: 2915550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-5) + 2\/5. Solve -2*q**z - q**4 + 2*q**4 + 4*q**2 - 3*q**2 = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 8*q + 16. Let f be y(10). Let t be 60\/16 - 1\/f. Suppose 0 = -p - t*x + 91, x = -x + 2. What are the prime factors of p?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2))**(-4\/3))**(-1\/2)*(j**(3\/7)*j**(-3\/4)\/j*j)\/(j*j**(-1)*j)**(-7\/4) assuming j is positive.\nAnswer: j**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 31 = 5*o, -4*o - 32 = -62*y + 67*y. Which is bigger: o or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x**4 + 5*x**3 + 5*x**2 - 7*x. Let s(h) = 4*h**4 + 2*h**3 + 2*h**2 - 3*h. Let m(u) = 5*s(u) - 2*t(u). Find the second derivative of m(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/770*126)\/4?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyctqyyqccf. What is prob of picking 1 f, 1 q, 1 y, and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 10. Sort -3, w, 2 in decreasing order.\nAnswer: 2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -66 and -0.0283858483703.\nAnswer: -66.0283858483703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yahhrihayaahky. Give prob of sequence aarh.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69505139.\nAnswer: 11, 1439, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 23. Let k be (-19)\/w - 2\/(-7). Put k, -1, -5 in increasing order.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1961 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 4*q + 5*q + (-1 + 0 + 3)*(-q + q + 2*q) + 6*q + 50*q + 8*q)*(9*q + 14*q - 7*q) to the form a + x*q**2 + d*q and give x.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 4:43 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u - 36. Let w = 354 + -193. Suppose 4*k - 4*n + 53 = w, -k + 3*n + 35 = 0. What is the remainder when k is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Let p = b - -13. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/3 and -69\/48910.\nAnswer: 146730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.2 - 10. Let q = -0.6 + u. Which is the closest to 0.1? (a) 4 (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19129820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d + 73. Let z(i) = -7*i + 26. What is 3*b(a) - 8*z(a)?\nAnswer: -4*a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-7)*49\/(-140)*5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v - s - 9, -1994*v + 1992*v - 4*s = 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = 5*g - 11, 0 = 4*g + 16. Let d*v**3 + 7*v**3 - 2*v**5 - 13*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 3*m**2 - 4*m + 1. What is u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95421.56kg to milligrams.\nAnswer: 95421560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -3, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 16540\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 w when four letters picked without replacement from {f: 16, w: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -12. Let o = 90.8 - z. Let m = 1 + -4. Which is the nearest to -1? (a) o (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 35*g - 29*g. Let i be (-45)\/6*g\/10. Find the second derivative of 33*q**4 + 0 + 7*q + 0 + i*q wrt q.\nAnswer: 396*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2. Suppose 3*o = 5*w - 4, -3*o + 0*o - 2 = -4*w. Let r(l) = -4 - 6*l**w + 4 + 4*l**2. Give r(j(s)).\nAnswer: -98*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3 + 22*s**2 - 198776*s - 397632 = 0.\nAnswer: -456, -2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -547 + 546.9321. What is d rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.762 + -466.762. Let g = -463.31 - t. Round g to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*sqrt(110)\/((sqrt(490) - (sqrt(490) + sqrt(490)*2)) + sqrt(490) + sqrt(490) - sqrt(490)))*-4.\nAnswer: 20*sqrt(11)\/7 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42376 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/3)*r*r**(-1\/3))\/(r**(4\/3)\/(r*r**0\/r*r))*r\/r**(1\/17)*r**(-2\/11)*(r**0*r)**(6\/13) assuming r is positive.\nAnswer: r**(13766\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 4 = -5*y. Let n be (y - 0)*(1 + -6). Suppose 3*m - 3*v = 84, 0 = n*m + 4*v - 148 + 8. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 5*z**2\/2 + 57*z + 4167. What is r(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662.24 + 8647.1?\nAnswer: 6984.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 3438549 - 3438549.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 33*g**2. Suppose -2*c - 16 = 4*j, -4 + 0 = 2*j. Let u(b) = -7*b - 16. Let d be u(c). Let x(a) = -d*a + 31*a - 18*a. Give m(x(y)).\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 4)*18*6\/(-12). Solve j = -2*p, 0 = 7*p - 2*p - 2*j + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -12*u - 3. Suppose u*v - 180 = -3*v. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 1. Let l be b(1). Suppose -3*v = -32 + l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 5. Find x, given that -1\/4*x**3 - u + 0*x + 3\/4*x**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -f. Solve -u - f = -3*a + 2*u, -2*a = -3*u - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 500440?\nAnswer: 500432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*1*(-30)\/21. Suppose -s = 2*s - 4*n - 6, -5*n + a = 5*s. Solve 5*i = 3*z - 19, -s*i + 0*z = 2*z - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 1*(0 - 0). Let c be 3*1*(-402)\/603. Put u, c, -3, 5 in decreasing order.\nAnswer: 5, u, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)*m)**(-10\/11))**(-34) assuming m is positive.\nAnswer: m**(4420\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2039260 and 1960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1060 - -1314.6. Let w = q + -279. What is w rounded to zero decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 164*a. Let t(g) = -4*g - 1. Give d(n) - 2*t(n).\nAnswer: -2*n**2 + 172*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0736 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*y - 219*y - 1382 + 5558 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 213. Let g = 317 + s. Suppose -3*v + 94 + g = 0. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 769274 * -3\nAnswer: -2307822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - u)*(-2*u + 2*u + 2*u + (4 + 1 - 2)*(-5*u + u + 23*u)*(-3 + 0 + 1)).\nAnswer: -224*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1456\/5 + 294. Determine b, given that -32\/5*b**2 - 4\/5 - 22\/5*b - k*b**3 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-455)\/(-910)*(-8)\/44*1342.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*a**3 + 27*a**4 - 5*a**4 - 3 - 21*a**4 + (-1 - a + 1)*(-4*a**3 - a**3 + 4*a**3) to the form s*a**3 + b*a + o*a**4 + w + p*a**2 and give s.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231231 (base 4) in base 6?\nAnswer: 21313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2342339*n**6 - n**2 - 13523*n + 46.\nAnswer: -281080680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 h, and 1 o when four letters picked without replacement from {e: 13, h: 4, o: 3}?\nAnswer: 312\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 divided by 10833?\nAnswer: 532\/10833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 11*d + 13. Let t be c(12). Let m(f) = -3*f + 3. Let p be m(t). What is the third derivative of 3*o**5 + 16*o**2 + 12*o**5 + p*o**2 wrt o?\nAnswer: 900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -1, 0, 3, 5.\nAnswer: -131, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13975*p**2 + 14107*p**2 - 28083*p**2 + 71*p.\nAnswer: -p**2 + 71*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 2*v. Factor -8*w**3 + 19*w**3 - 15*w**3 + 4*w + v*w.\nAnswer: -4*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + 3 - (-2 + (56 - 28 - -17))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i**3 - 8*i**3 + 0*i**3)*(-3 - 9*i**2 + 3) + 3*i**3 - 3*i**3 + 3*i**5.\nAnswer: 201*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 78 = -h. Suppose -2*t + 22 = -h. Suppose 4*s - t = 32. What is the remainder when 41 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Suppose -3*v = 3*k + 2*v + 29, -g*k - 3*v - 59 = 0. Let m = k - -20. What is the highest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -0*r + 234. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -671\/5 + 135. Let l = -18.7 + 18. Let o = l - -0.3. What is the third smallest value in -1, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(343) - ((0 + sqrt(343))**2 + 0)) - (2 + sqrt(567) + sqrt(567)*-2 + 3 + sqrt(567) + 0).\nAnswer: -2063 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/10)\/(-28)*45\/162*8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from iwllgellglfeg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4701841?\nAnswer: 4701841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36d2ec - 4?\nAnswer: -36d2f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - -1 - (1 - (-693)\/90) and 75\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 24*s**2 + 23*s + 11. Let z be i(-11). Suppose -2*d + 1 + 9 = z, 2*k - 5*d - 4081 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*x**5 - 3752185*x**4 - 52*x**2 - 5*x + 3151 wrt x.\nAnswer: 840*x**2 - 90052440*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 + 4*c**4.\nAnswer: 4*c**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 7. Let k be j(-5). Suppose 0 = 2*y - 4, 0*s + s + y - k = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/126 and -131\/180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/(-4)*(-7722)\/351?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + u + 2*u = 0, 14 = 4*g - 3*u. Let w = -9 + 7. Let j be 6 + (-2 - 0\/w). Solve 0 = r + j*b, -2*r - 12 = -2*b - g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 132\/(-55)*195\/(-6). Suppose -v + 40 = -5*a, -2*v - 2*a + 38 = -u. What is the highest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.931178 minus -35.9204?\nAnswer: -4.010778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 7. Suppose -y = 4*y - 20. Let v be s(y). Let c = -1 + 1. Solve c = v*t + 2*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1811?\nAnswer: 3\/1811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 + 7. Let k(b) = 2*b**3 - 3. Let o(v) = 10*v + 26. Let s be o(-4). What is s*k(m) - 6*p(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28471365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**2 + 10*h**2 + 5*h**5 + 12*h**5 - 4*h**5 wrt h?\nAnswer: 780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/((-2)\/(-8)). Factor -7*x - 8*x**2 - 6 + 10*x**f - x - 4*x**2.\nAnswer: -2*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x + 1. Determine z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + u - 17, -o + 0*o - 5*u = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 16*j**4 - 17*j - 33. Let l(c) = c - 95*c**3 + c - 2*c**4 + 4 + 95*c**3. Let m(v) = 6*k(v) + 51*l(v). What is the first derivative of m(a) wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 27. Let n(a) = -3*a - 26. Let d(q) = 5*g(q) - 6*n(q). Suppose 0 = 4*j - 8, 2*i + 4*j + 6 = -0. Is d(i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (1 - 2) - -559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 79 = q - 2, 21*t - 18*t - 3*q = 39 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-663)\/13 + 3*1. Let c = h - -60. Let m(p) = c*p**2 + 10*p**2 - 21*p**2. Let f(o) = -43*o. Determine m(f(u)).\nAnswer: 1849*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, w: 1, f: 1, v: 1}. Give prob of picking 1 w and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i - 3*o - 34 = 64*i, -6*o = -3*i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959498173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.5 + 4.5. Let n be ((-6)\/(-24))\/((-6)\/(-8)). Which is the third biggest value? (a) 0.1 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 + 7*l - 5. Let z be j(4). Let y(p) be the first derivative of -p**4\/4 + 2*p**3 + 9*p**2\/2 - 5*p + 1. What is the units digit of y(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0.3, 0.1, 1.3, -0.5, 3.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41.11 - 41. What is the second biggest value in 1\/3, -3, b, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = -4*d, d + 13 + 3 = 4*h. Suppose 2 = 2*g - d. What is the units digit of (1\/2)\/(g\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 20980\nAnswer: 13\/10490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -23*s**2 - 2*s - 8. Let g(c) = c**2 + c + 2. Let o(b) = 4*g(b) + w(b). Let k(v) = -3*v. Calculate k(o(u)).\nAnswer: 57*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 69 (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6614 + -6350. Let o = -136 - -334. Calculate the greatest common factor of o and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 o when four letters picked without replacement from oooiogiiiigiiiii.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*u + 12, 4*m + 4*u = -7 - 5. Let s(a) be the first derivative of -2*a**2 - 8 - 10\/3*a**3 + m*a. Find the second derivative of s(h) wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15347 + -5175986811\nAnswer: -5175971464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 36*y. Let o(r) = 7*r**2. Calculate k(o(t)).\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 86*u + 9984 = 0. Does 61 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196*t**4 + 3*t + 29?\nAnswer: 2352*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -10\/3, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 462 + -471. Suppose 9 = -2*g - g. Which is the second smallest value? (a) w (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5385722563?\nAnswer: 13, 414286351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 1.5, 0.06, -49\/4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 3*z**2 - z + 1. Let h be p(-3). Let d(q) = 4*q**2 + 11*q + 31. Let u be d(-7). Is 50 a factor of (1 + (-39)\/(-9))\/(h\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 77. Let a = 7 - 3. Suppose 4*i + k + 15 = 2*v, a*i = 20. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/26)\/((-21 + 3)\/(-9)). Which is the nearest to 1\/2? (a) u (b) -2 (c) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32914, -65837, -98764, -131695?\nAnswer: -164630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*n = 16, 0 = -0*w - w + 2*n + 8. Put 0, w, -9 in decreasing order.\nAnswer: w, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76956497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*q + 0)*(8*q**3 - 9*q**3 + 5*q**3 - q**2).\nAnswer: 12*q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b**2. Let y(x) = -x**3 - 4*x**2 + 5*x - 1. Let r(v) = 2*d(v) - y(v). Let s be r(4). What is the highest common divisor of 65 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 8*g = -2722. Let c = 2624 + g. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86218 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(1 + (-728)\/686)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o - 20. Let g be p(4). Let l(i) = -i**3 + 21*i**2 - 9*i - 27. Let a be l(g). Let d = a + -112. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 579389 divided by 99.\nAnswer: 579389\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 18.\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11093391839 + 22186783675 - 11*c**2 - 11093391836.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5142635*-0.06\nAnswer: -308558.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1116 + 1116 + 20*t)*(-3*t**2 - 2*t**2 + 3*t + 3*t**2).\nAnswer: -40*t**3 + 60*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8.0989 + -10.562\nAnswer: -18.6609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36708, -45099, -53490?\nAnswer: -61881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 5. Let j = -42 + 21. Let s = 17 + j. What is g(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12 and ((-7)\/140)\/((-1)\/18)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-1 - (1 - 0)). Let x(b) = -b**3 + 8*b**2 - 7. Let w be x(j). Let p = w + -41. Calculate the highest common divisor of p and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-504)\/420)\/(294\/(-4655))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 + 92*o + 37488. Calculate n(109).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -961.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 35 - 56 + 21.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -2 + ((sqrt(132) - (sqrt(132) - -2*sqrt(132))) + sqrt(132) - sqrt(132) - sqrt(132))\/sqrt(12))**2.\nAnswer: -24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = 6*f + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*h - 0 - 3, 3*h = 2*j - 17. Suppose 0 = -w - w - 3*l - 1, 12 = -4*l. Suppose -3*v + v = -40. Solve 4*n = 0, w*y + n - j*n = -v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1237531 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2*12\/(-15). Let f be 16*(-7)\/j + 1. Suppose 42 = 4*k + 2*i, 4*i + i - f = -4*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72374 (base 8) to base 11\nAnswer: 20556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1780165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/31 in 1\/2, -4, -8, 3\/2, -335, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1 - (9 - 4)) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -88. Suppose 43 = 2*o + 3*m, -126 = -4*o - 2*m + s*m. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:53 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haa when three letters picked without replacement from aaahahhahhaaaahaaa.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -320*z - 219*z + 15*z + 186*z + (2 - 1 - 2)*(1 - 2*z - 1) - 2*z + 0*z + z to the form j*z + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -25*y - 35. Give s(5).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 - 8)*(1 - 1 - 2*b + (2*b + 2*b - b)*(59 - 588 - 494)) to x + g*b and give g.\nAnswer: 33781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3744 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -956 - -961. Let r(j) be the second derivative of 0 + 6*j**2 + 0*j**3 - 5\/6*j**4 + d*j. Differentiate r(b) wrt b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 200*i + 11. Suppose 16*p = 64 - 16. Let b be u(p). Suppose -4*s = -3*q + 581, 2*s + b + 334 = 5*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -1.731. Let d = 0.02 + u. Let o = -0.641 + d. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**2 - 745 + 164*k**2 + 887 wrt k.\nAnswer: 324*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -30*r**3 - 4*r**2 + 821*r - 21. Let m(v) = 26*v**3 + 3*v**2 - 821*v + 18. Calculate 7*m(o) + 6*s(o).\nAnswer: 2*o**3 - 3*o**2 - 821*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18 and -11\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 61.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -26. Let z = 2 + c. Let j(v) = z + 5 + 3*v - 15. Give j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*u + u - 7, -w + 4 = 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2021 and 16039?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7345\/24 + -306. Let z(y) be the third derivative of 0*y**3 - 6*y**2 - v*y**4 + 0*y + 0. Let k(f) = -8*f. Determine z(k(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*m = -1149*m + 2235*m + 760 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6693*-0.02.\nAnswer: 133.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 100678 and 100692 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-1 - 2\/(-18)). Let v(d) be the second derivative of n*d**4 - 2\/45*d**6 + 0*d**2 - d + 1\/63*d**7 + 0 - 1\/9*d**3 + 0*d**5. Factor v(y).\nAnswer: 2*y*(y - 1)**3*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15315689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2159, 9350, 21335, 38114, 59687, 86054?\nAnswer: 117215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.8 + 22. Let p = -6.2 + f. Let n = 0.3 + -0.2. What is the nearest to n in p, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.3, 1, 2\/19, -442, 3 in descending order.\nAnswer: 3, 1, 0.3, 2\/19, -0.2, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - w**4 + 4*w**4)*((-3*w + 0*w + 2*w)*(2 - 3 - 1) - w + w - w + 33 - 12*w - 33).\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304662572 is divided by 4162.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 8 + 0*n + 7*n + (-3*n + 0*n + 4*n)*(-3 - 2 + 3) + n + n - 3*n + 9*n + 17*n + 3*n + 3 - 3 + n + (-3 + 3 - n)*(0 - 2 + 4) to s + r*n and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/175)\/(4\/((-60)\/(-3)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6684 and 18?\nAnswer: 20052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5384 (b) -42 (c) 1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4684.\nAnswer: -14052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/209952 and 41\/38880?\nAnswer: 1049760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.006 + 3.094. Round m to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1*w*w*w*w\/((w\/w**(4\/5))\/w)*(w**(1\/2))**(-6))\/((w**(-1)*w**(-7))\/(w**(2\/17)*w*w**(-1\/4))) assuming w is positive.\nAnswer: w**(4307\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 - 3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 + 0.160042?\nAnswer: -2.439958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3912 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*z + 21811, 10*l - 3*z - 10908 = 11*l. Let f = -6382 - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -x - 2*d + 145, 7*x + 5*d + 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfz. Give prob of picking 1 f and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3, 0 = 10*g - 8*g + 3*u - 7. Suppose g*c - 45143 = c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475938 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + -4 + (1 + sqrt(1331))*2 + (sqrt(1331) + 0 + -5 - sqrt(1331) - (-1 + sqrt(1331)*2)) + 1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 5*y - 2. Let b be d(3). Find the common denominator of (4\/6)\/(b\/(-107)) and (3\/(-54)*1)\/(8\/564).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -38441 (c) 5\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 21*n + 6. Let y(h) = -3*h**2 - 14*h + 4. Let k(b) = 5*p(b) - 7*y(b). Let r be k(5). Let g = -4 - r. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 141. Suppose d - 46 = -x*q, -64 = -d - 2*q + 7*q. Which is bigger: 56 or d?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (5 - 6)) + -1 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 22 = -5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = -5*v, 4*v - 2*x + 3*x - 27 = 0. Calculate the remainder when 22 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5775459 to the power of 1\/2, to the nearest integer?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2822)\/1162)\/(-3*(-7)\/(-147))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000367144391 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8b55b (base 12) to base 15\nAnswer: 3a042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 139. Which is the smallest value? (a) 0 (b) v (c) 4.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 2*h**2 - 2*h + 1. Let j(q) = -3*q**3 - 2*q**2 + 2*q - 2. Let g(v) = 3*j(v) + 4*s(v). Suppose -7 = 4*r + 5. Is g(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 + 45*t**2 - 20*t + 53. What is y(-23)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0 + 84*m - 1\/20*m**5 + 1\/3*m**4 + 0*m**3 + 3\/2*m**2. Calculate q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)\/k**(15\/7))**(1\/2) assuming k is positive.\nAnswer: k**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/22 + 100\/(-275)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959073.9 centimeters in kilometers?\nAnswer: 9.590739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*g**5 + 7 - 113*g**3 + 135*g**5 - 102*g**5 + (2*g**4 + g - g)*(0 + 0 + 2*g) + g**5 + 1 - 1 - 3*g**5 - 4*g**5 + 6*g**5.\nAnswer: 5*g**5 - 113*g**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6 and -59\/5264976.\nAnswer: 5264976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/120 - 67*z**5\/10 - 719*z**3\/6 - 3125*z**2. Differentiate y(c) wrt c.\nAnswer: 3*c**2 - 804*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43 - 25.1.\nAnswer: -25.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, 40, 63, 66, 31, -60, -225?\n\"Answer: -3*l**3 + 17*l**2 - 5*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -93, -173, -263, -357?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 403 - -34. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**1*t*t)\/t)\/t*t)**40\/((t\/t**(-2\/3))\/t)**8*(((t*t\/(t*t**(7\/6))*t)\/t)\/(t\/(t**(-1\/19)*t)))**(-43) assuming t is positive.\nAnswer: t**(18707\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -48*h + 1. Let x(z) = 17*z. Let w(k) = -4*a(k) - 11*x(k). Let t(d) = -d + 2. Let o be t(0). Let v be 23\/7 + o\/(-7). Calculate w(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*h + 189*h - 36 = 0. Round h to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 825.0045 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:40 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z + 2. Let d be u(4). Suppose -8*o = -2*o + o. Suppose o = -3*j + 6 + 36. What is the greatest common factor of j and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:35 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*j + 30 - 5*j + j - 17*j wrt j.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y**5\/13 + 201418*y**4\/13 - 874692*y**3 + 41138024*y**2\/13 - 34549040*y\/13 - 593088 = 0 for y.\nAnswer: -9267\/2, -2\/11, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1598, 4822, 8046, 11270, 14494?\n\"Answer: 3224*h - 1626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2068*g**2 - 2*g + 227. Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/19))\/((o\/o**(2\/11))\/o) assuming o is positive.\nAnswer: o**(236\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 15. Calculate q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeveeevee. Give prob of picking 4 e.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9098551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*u**2 + 3*g*u - 95210*g - 4*u**2 + 67407 wrt g.\nAnswer: 2*g*u**2 + 3*u - 95210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -21187 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4178\/37602*6\/20.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -62*d**2\/13 + 85500*d\/13 - 425950\/13 = 0.\nAnswer: 5, 42595\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 17*m + 32. Let v be z(18). Suppose 12*i - 7 = -3*r + v*i, 3*r - 4*i + 1 = 0. Solve -3*y = o + 3*o + 27, 35 = -4*y - r*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41749871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from annjnnajnnnn?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 582049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136 - 3?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, x: 4, v: 2, d: 2}. What is prob of sequence xx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 - -1010101111111111001?\nAnswer: 1010110000001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 20*d = 3*l - 1148, -5*d + 1168 = -2*l. What is the highest common factor of 87 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c = -1575. Suppose -a + c = 4*a. Let b = a - 24. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12835\/28 + -3221\/7. Suppose 10 = -0*n - 2*n. What is the closest to g in -2, -1, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -144, -282, -420?\n\"Answer: -138*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 36341890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20443847 is divided by 228.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 0.2, -5.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 4656?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.741 - 1.291. What is v rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 3, m: 2, b: 8}. What is prob of picking 1 m, 1 b, and 1 j?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1130 = -5*f, 6*f + 440 = 4*f - 2*i. Let z = 1559\/7 + f. Which is the second biggest value? (a) 2 (b) z (c) -1.9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t**2 - 37*t**2 - 7*t - 12*t**2 + 7*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10941 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 407626 and 1082050.\nAnswer: 682773550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -20*x. Let u(k) be the first derivative of 4*k**2 - 80. Determine u(r(q)).\nAnswer: -160*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ccfcfcfcffccc?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 * -0.2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9165577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*j = 758 + 2104 + 674 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -31. Calculate the greatest common divisor of r and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/180 + 26*h**5\/15 - 169*h**4 + 11*h**2 - 107*h. Factor v(n).\nAnswer: -2*n*(n - 78)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49850 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.38178 to 2 dps.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2*i - 12. Let y(j) = 2*j + 1. Calculate -t(v) + 5*y(v).\nAnswer: -v**2 + 12*v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 47*x - 49 - 41)*(-x**2 - x**2 - 3 + 4).\nAnswer: 94*x**3 + 12*x**2 - 47*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 25. Let d(t) = -2*t - 13. Let g(s) = 5*d(s) + 3*l(s). Let p be g(6). Find the second derivative of 8*z + 0*z + 0*z**4 + 0*z - p*z**4 wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 514 and 246977.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojyj when four letters picked without replacement from {u: 1, y: 1, o: 2, i: 2, j: 2, a: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2288216075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from qccbprdrdcpc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -5 + 7)*1788\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/187736?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 46*l\/7.\nAnswer: 2*l*(l - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - -3. Suppose -7*q = -11*q + 5*w + 191, -5*q + w + 265 = 0. Suppose -8*k = -5*k - q. Calculate the highest common factor of s and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229161152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-13552)\/(-24))\/(-11))\/((-4)\/6) is divided by 142\/7 - 2\/7.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 - 313*h - 1050. Determine o(-59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -232349029321?\nAnswer: 232349029321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.8 (b) 2\/55 (c) -4\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001759 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71628?\nAnswer: 2, 3, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.658*25855\nAnswer: -68722.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58377958 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342*j**3 + 146*j**2?\nAnswer: 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 949275172 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 903500.7ml?\nAnswer: 903.5007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 91439?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2307034*a = 2307007*a + 945 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 227, 272, 317, 362, 407, 452?\n\"Answer: 45*d + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 7*y + 9. Let b = 414 - 787. Let s = 366 + b. Determine r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115874 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.514 and 0.5?\nAnswer: 6.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -846\/2219 + -15\/317. Which is the third biggest value? (a) f (b) -0.4 (c) 0.18 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14309269*m*s + 418*s + 10771 wrt m?\nAnswer: -14309269*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 3 + -16 - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77116019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 7*d - 9. Let v(u) = 3*u**2 + 7*u + 9. Let a(j) = 4*n(j) + 5*v(j). Let l be a(9). What is the units digit of (1 - -24) + l\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) 0.4 (b) -4 (c) 31242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -33579?\nAnswer: 2\/33579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10 - 5)*((-22 - 5 + 4)*(2*d + 0*d - 3*d) - 2*d + 10*d - 2*d - 2 + 2 + 2*d).\nAnswer: -186*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*t - 131*t - 6289 = -176*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from lldprpdlddlr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1420\/7 - -203. Let n = 1.9 - -0.1. What is the second smallest value in -1, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179964?\nAnswer: 2, 294991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 = 7*y. Let l = -0.07 + -0.43. Let w = l - 0. What is the smallest value in y, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4178 and 43.\nAnswer: 179654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76848.\nAnswer: 2, 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - 29 + 29)*(-143*r - 560*r - 356*r) to the form w*r**2 + f + y*r and give w.\nAnswer: 3177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8*n - 189. Let x be 6\/39 + n\/(-13). Let u be 9 - (1 - 0 - -8). Sort 4, u, x in increasing order.\nAnswer: u, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64698004, 64698001, 64697998, 64697995, 64697992?\n\"Answer: -3*o + 64698007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2. Let r(s) = 18*s + 3. Let m(d) = 639*d - 13. Let o(a) = -m(a) - 4*r(a). Determine i(o(p)).\nAnswer: 2022084*p**2 - 5688*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31 + -1 + 1 - (-21)\/21. Suppose -5 + o = 9*n. Suppose 4*y - 4*m - 37 = 47, -n*y - 2*m + 53 = 0. Calculate the greatest common divisor of 57 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -580*b**3*q**2 + 8*q**2 + 67*q with respect to b.\nAnswer: -1740*b**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-4 - (-126)\/(-35) - -7)\/((-8)\/294520)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 at least as big as 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 8:57 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*c - 263*c + 129*c - 6.\nAnswer: c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from pqpdppqfqpdpffppp?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -50. Let q = f + -15. Let g be ((-12)\/8)\/((-6)\/q). Solve 5*o - 4*a = 24 + 12, 4*o - 24 = g*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 3*b, -3*q = 5*b - 1 - 6. Let m = q + -3. Let k = 4 - m. Solve -k*o + 1 = -11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5*sqrt(1872)*-2)**2*4 + (-2*-6*1*sqrt(1872))**2).\nAnswer: -5091840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ene when three letters picked without replacement from {y: 1, n: 1, e: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/28 + 15\/7 + -2. Suppose -163 = -3*l + o, -l = i*o - 4 - 46. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -z + 3, -z + 6*z - 15 = 5*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55360 = 5*i + 5*z, -14*i = -9*i + 2*z - 55354. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1505113 or 1?\nAnswer: 2\/1505113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119846 + 618452 = 37*l. List the prime factors of l.\nAnswer: 2, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100052*o**4 - 71176*o**2 wrt o?\nAnswer: 2401248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1, 836, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 1, 2, 836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Let u(y) = -y**2 + y. Let s(k) = -3*u(k) - z(k). What are the prime factors of s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1075.99444 to 1 dp.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h. Let w be (-10 + h)*(-3)\/6. Suppose -w*t = -5*p - 60, -t + 18 = 8*p - 3*p. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227826 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3))*1*-3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 6*q**2 - 3*q + 4. What is the remainder when b(7) is divided by (-1 - (-96)\/(-40))*-5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8*p = -12. Suppose p*r - 19 = -2*w, 0*r - 5*r = 4*w - 33. Let g be (-2 - w) + 2 + 4. Calculate the greatest common factor of 8 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q + 7. Let a be n(6). Let c = a + 3\/2. Suppose 4*p + 6*i - 27 = 9*i, -3*i = -2*p + 21. Is c > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73185 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(((f\/(f*f\/f**2))\/f)\/f)))**20\/((((f\/(f\/f**(-1)))\/f)\/f)\/(f**6*f))*(f**0*(f\/f**(-2\/3))\/f)\/(f**0)**(2\/163) assuming f is positive.\nAnswer: f**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953 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: What is 0.3 + -131778613.3?\nAnswer: -131778613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -19. Suppose -5*d - 2*a = -v, 3 = 5*d - 3*a - 2. Let n(u) = u**3 - 3*u**2 - 5*u - 2. Calculate n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/126 + 640*s**3\/63 - 102400*s**2\/21 + 3167*s. Factor h(c).\nAnswer: -2*(c - 320)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 5, g: 2}. Give prob of sequence vgg.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnd when three letters picked without replacement from ddqqnsrdddnnd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-4 + 2 - -1) + 39 + -41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 0*h**2 + 0*h**2 + (-h - 3*h + 5*h)*(-25 + 18*h + 25).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/7 + 2412*o**3\/7 + 4839*o**2\/7 - 2412*o\/7 - 4836\/7 = 0.\nAnswer: -2, -1, 1, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8172*r**2 - 8170*r**2 - 8167*r**2 + 24507*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27140684 is divided by 1970.\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 16*p**2 - 33*p + 69. Give i(-17).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/33)\/(4\/1506) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4cc97 (base 14) to base 12.\nAnswer: 91505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-5 - (15\/95 + (-6549)\/(-1121))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.847775 times -0.3?\nAnswer: 20.0543325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(3 + (-19)\/5). Let s = d + 10. Suppose 0 = -6*t + s*t - 8400000. What is t rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.596038ug to milligrams.\nAnswer: 0.005596038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11\/3)*m\/m**(-13) assuming m is positive.\nAnswer: m**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. What is the second derivative of 3*g**2 - 3*g**2 + g - g**f + 2*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 2*r**2 - 5*r - 6. Suppose -4*v - 47 = -5*c, 2*c + 4*v - 6 + 4 = 0. What is the remainder when h(-3) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15990 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 89 + 112 + 2*o**3 + 4*o**3 - 103.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**8\/140 - h**5\/10 - h**3\/6 + 2*h. Let g(u) be the second derivative of j(u). What is the second derivative of g(y) wrt y?\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*j + 803 - 163 = -75 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*a + 10. Suppose -b - 10 = -4*d + 19, 16 = 2*d - a*b. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13594318 at least as big as 13594318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**2 + 6132*f - 667080 = 0?\nAnswer: -1635, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*-6*(-3)\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 397 = -47*h - 73 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.11 - 5.11. Does 0.1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10ac (base 14) in base 5?\nAnswer: -43041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933*a**2 + 14156830*a - 14156830*a.\nAnswer: 933*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + w = 1435, 5*w = 3*z - 3155 - 1158. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 3. Suppose -5*s = -p - 5, -4*s + 10 = p - 3. Let g(j) = j**s - 23 + 15 + 9 + 0*j**2. Give -2*g(l) - n(l).\nAnswer: -2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3458.39288 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -7339?\nAnswer: -10\/7339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.554 + 8.548. Let i = b - 3.3. Round i to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-3)*6\/(-4). Suppose 3*i**l + 5*i**3 - 5*i**4 + i**3 - 3*i**5 + 5*i**4 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1037 - -1590. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 33*w**2. Let v(z) = -85*z**2. Give v(a(t)).\nAnswer: -92565*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {c: 1, p: 3, r: 4, z: 2, v: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d. Suppose d = -3*h + 5*q + 5, h - 3*h + 4*q + 6 = 0. Find the common denominator of (h + 4)\/((-2)\/(-53)) and -81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 1:51 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 7:24 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1612\/9, -5, -454 in ascending order.\nAnswer: -454, -1612\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-6) - 9\/6. Suppose 2*h - 11 = -g*p + p, 0 = 4*h - 4. Let y(k) = 1899*k**2 + 2*k + 3. Let m be y(p). Round m to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.41\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -172, -547, -922?\n\"Answer: -375*h + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose 6 + 3 = q + 3*j, -w*q - 1 = -5*j. Differentiate 2*s**3 - 1 - 3*s**2 + q*s**2 with respect to s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 12, 2*w + 6 = -12*f + 13*f. Solve 0*z = 4*z - 4*y - 16, -3*y - f = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.1 + 0.1. Let h = -10.2 - 4.3. Let m = h - u. Put m, 1, -1 in increasing order.\nAnswer: -1, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 23. Let c(u) be the third derivative of u**4\/6 + u**3\/2 + u**2. Calculate c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/463, -5\/3, -4\/5.\nAnswer: -5\/3, -4\/5, -1\/463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -3 (c) -0.11 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/10*(2 - 12\/(-4)). Suppose q = -q + w + 1, -x*w - 4 = -q. Suppose -344 = -0*v - 3*v + 2*c, q = -5*c - 20. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317 - 196. Let r(i) = -i**3 + 8*i**2 + 3*i - 13. Let b be r(8). Calculate the highest common factor of d and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f + 292 = 35*f. Round f to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -37*d + 4*d - 3*d + 286 + 19 - 310. What is f(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/30 + (-324)\/(-10). Suppose 0 = -2*c - m + 98. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207290094 and 187508?\nAnswer: 414580188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90012, -90025, -90038?\nAnswer: -90051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 58. Suppose 52*a - k*a - 24 = 0. Suppose -1 = 4*z - 41. Solve 0 = -z*u + 7*u + a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:57 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Put -4, 4, i in ascending order.\nAnswer: -4, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*c**2 - 22 + 22)*((-5 + 3 - 1)*(2 + 3 - 3) - 3 + 2 - 1).\nAnswer: 216*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 139382381 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 33 + 24 - 15*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/6 - 3)\/(31 - 1560\/48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -191.1 - -289.4. Let s = z - 98. What is the biggest value in 17, s, 0.1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:53 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.732848101 to 3 dps.\nAnswer: 4.733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14114*n**2 - 21696*n**2 + 7556*n**2.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2097254645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 223044 and 113975484.\nAnswer: 113975484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33768 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((50\/(-2))\/5*-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Factor y - 10*l**3 + 9*l**3 - 2 - l**4.\nAnswer: -l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 6)*(826*c**2 - 440*c + 214*c + 224*c) in the form r + a*c + t*c**2 and give t.\nAnswer: 3304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1321816, -3 in descending order.\nAnswer: 1321816, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -684 - -4?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 5*f**2 + 9*f - 3. What are the prime factors of x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f**2 + 1429*f - 57622. Let z(d) = -5*d**2 - 476*d + 19208. Let i(n) = 4*l(n) + 11*z(n). Factor i(o).\nAnswer: -3*(o - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*p - 5087, 2*p + 2*k = 3*k + 2034. What are the prime factors of p?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290 + -170. Calculate the highest common divisor of 24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 15) to base 2.\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 8*(-2)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 7) in base 16?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9132 and 252?\nAnswer: 191772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158135 is divided by 158129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geaggeegeeeaeggea. Give prob of sequence eg.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106459 divided by -3078.\nAnswer: 106459\/3078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8567 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*u + 5 = 6*g, g + 3*u + 12 = 0. Solve g*o - 2*o + 3*v = 7, -4*v = -2*o - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668751 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/308*33\/54 - 452*(-2)\/144?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3495.\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 62*d - 5040. Calculate the greatest common divisor of 35 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s - 1. Let t be r(2). Let g = 26737\/4240 + -5\/848. Calculate the common denominator of 95\/22 + (t - 4) and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-42)\/8)\/3. Let f = -8.21 - -14.63. Let i = -6.52 + f. What is the nearest to -0.02 in 2\/5, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.08 + 0.08. Which is the closest to -0.1? (a) g (b) 0.4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = 6. Solve v*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3795165)\/388773 - (0 + (-20)\/14).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/1)\/2 + 21. Let s = m + -5. Calculate the highest common divisor of s and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152317 - -152321. Factor 1\/3*y**j + 118\/3*y**2 + 27 + 60*y + 20\/3*y**3.\nAnswer: (y + 1)**2*(y + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18120.3 seconds to minutes.\nAnswer: 302.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*a + 54 = 0, -2*a = -o - 3*a + 11. Let u(j) = -j**2 + 19*j - 28. Let d be u(o). Solve -3*w - 39 = 4*y - 10, 4*y = -d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -300a381 + -4?\nAnswer: -300a385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*t + 47*t = 688 - 205 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31998.4 - -4.318\nAnswer: 32002.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/100704 and -113\/18?\nAnswer: 302112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.1904 litres?\nAnswer: 49190.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122801 - 62492. What is the ten thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let i(k) = 114*k**2 + 2. Give i(p(x)).\nAnswer: 114*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38509942 is divided by 9671?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - -1.5. What is the nearest to 1 in 1, -3\/4, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3575 and 360811?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113394 is divided by 140.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + q**2 - 3)*(q - 3*q + 4*q)*(5*q - 2*q + q)*(2*q + q - 5*q).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}